H A R C O U R T S C H O O L P U B L I S H E R S Extension Book

Size: px
Start display at page:

Download "H A R C O U R T S C H O O L P U B L I S H E R S Extension Book"

Transcription

1 Book

2 Book Developed by Education Development Center, Inc. through National Science Foundation Grant No. ESI Published and distributed by:

3 Copyright by Education Development Center, Inc. All rights reserved. No part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Permission is hereby granted to individuals using the corresponding student s textbook or kit as the major vehicle for regular classroom instruction to photocopy entire pages from this publication in classroom quantities for instructional use and not for resale. Requests for information on other matters regarding duplication of this work should be addressed to School Permissions and Copyrights, School Specialty Math, Inc., 80 Northwest Boulevard, Nashua, NH Think Math! Book Printed in the United States of America ISBN 13: Printing 2 ISBN 10: If you have received these materials as examination copies free of charge, School Specialty Math retains title to the materials and they may not be resold. Resale of examination copies is strictly prohibited and is illegal. Possession of this publication in print format does not entitle users to convert this publication, or any portion of it, into electronic format. This program was funded in part through the National Science Foundation under Grant No. ESI Any opinions, findings, and conclusions or recommendations expressed in this program are those of the authors and do not necessarily reflect the views of the National Science Foundation.

4 Contents Chapter 1 Building Operations 1.1 Counting and Larger Numbers... E1 1.2 Making 10, Adding E2 1.3 Addition Puzzles... E3 1.4 Counting on the Number Line... E4 1.5 Adding on the Number Line.... E5 1.6 Subtracting on the Number Line... E6 1.7 Skip-Counting... E7 1.8 Finding Missing Parts... E8 Chapter 2 Multiplication Situations 2.1 Recognizing Rectangular Arrays... E9 2.2 Arrays of Square Tiles... E Intersecting Lines... E Visualizing Intersections... E Finding the Number of Intersections... E Pairing Objects... E Listing Combinations... E Using Multiplication... E Writing Number Sentences for Intersecting Lines... E Breaking Products into Factors... E Separating Arrays... E19 Chapter 3 Using Addition and Subtraction 3.1 Introducing Magic Squares.... E Completing Magic Squares... E How Many Marbles?... E Reasoning About Money... E Drawing Conclusions... E Using the Fewest Coins... E Adding and Subtracting with Coins... E Estimating Sums and Differences... E27 Chapter 4 Grouping, Regrouping, and Place Value 4.1 Grouping Units... E Adding and Subtracting Measurements... E Regrouping with Base-Ten Blocks... E Mystery Number Puzzles... E Focusing on Digits... E Working Strategically... E Place Value with Larger Numbers...E34 iii

5 Contents Chapter 5 Understanding Addition and Subtraction Algorithms 5.1 Grouping by Tens... E Rounding to the Nearest Ten or Hundred... E Finding Differences on the Number Line... E Using Tens and Hundreds to Estimate Sums... E Estimate and Adjust to Find Sums... E Using Cross Number Puzzles to Add...E Using a Common Addition Algorithm... E Estimate and Adjust to Find Differences...E Using Cross Number Puzzles to Subtract...E Using a Common Subtraction Algorithm...E44 Chapter 6 Rules and Patterns 6.1 Exploring Rules... E Finding Two Rules...E Rules That Use More Than One Input... E Cards with Three Rules...E Recording Rules with Fractions... E Patterns in Geometry... E Patterns on the Number Line Hotel... E Finding Rules for Sharing Machines... E More Rules with Sharing Machines... E Finding a Rule for an Unusual Machine... E54 Chapter 7 Fractions 7.1 Working with Fractions... E Making Equivalent Fractions... E Exploring Equivalent Fractions... E Fractional Relationships in Context...E Comparing Fractions in Context... E Comparing Fractions... E60 Chapter 8 Charts and Graphs 8.1 Introducing Pictographs... E Making Pictographs... E Introducing Bar Graphs... E Exploring Probability...E Experimenting with Probability... E Making and Using a Price Chart... E Finding Locations on a Map... E Naming Intersections on a Map... E Graphing Solutions to Open Number Sentences... E69 Chapter 9 Exploring Multiplication 9.1 Multiplication Facts Practice... E Connecting Multiplication and Division... E Using Multiplication Facts... E Combining Arrays... E Separating Arrays into Regions... E Separating Arrays into Four Regions... E75 iv

6 Chapter 10 Length, Area, and Volume 10.1 Measuring to the Nearest 1 Inch....E Measuring Circles... E Measuring Paths... E Measuring in Centimeters... E Area and Perimeter...E More Area and Perimeter... E Measuring Volume... E82 Chapter 11 Geometry 11.1 Classifying Polygons by the Number of Right Angles... E Classifying Polygons Using Pairs of Parallel Sides...E Identifying Congruent Figures... E Working with Lines of Symmetry... E Identifying Attributes of Two-Dimensional Figures... E Identifying and Defining Polygons...E Making a Figure Zoo... E Figure Safari...E Describing Three-Dimensional Figures... E91 Chapter 12 Multiplication Strategies 12.1 Multiplication and Addition... E Using Sums to Multiply... E Multiplying with Base-Ten Blocks...E Multiplying with Arrays... E Separating Arrays to Multiply...E Multiplying with Larger Numbers... E Finding Missing Factors... E Division... E99 Chapter 13 Time, Temperature, Weight, and Capacity 13.1 Measuring Temperature... E Measuring Time... E Comparing Times... E Weight in Ounces, Pounds, and Tons... E Weighing to Solve Problems... E Measuring Capacity... E Weight and Capacity... E Analyzing Temperature Data... E107 Chapter 14 Addition and Subtraction in Depth 14.1 Place Value and Expanded Form... E Breaking Up Numbers to Add... E Breaking Up Numbers to Subtract... E Comparing Addition and Subtraction....E Addition Shortcuts and Rounding... E Addition and Subtraction Situations.. E113 v

7 Contents Chapter 15 Multiplication and Division 15.1 Multiplying by Tens... E Separating Large Arrays... E Making a Vertical Record... E Multiplying Three-Digit Numbers...E Multiplication and Division Situations... E Using Arrays for Division... E Solving Division Puzzles... E Division with Remainders... E121 vi

8 Counting and Larger Numbers Each train is made from cubes. Suppose you want to count the cubes as fast as you can. What strategy could you use to quickly count all the cubes? Lesson 1 How could you use place value to find which group has the larger number of cubes? A B Chapter 1 Book E1

9 Making 10, Adding 10 Find 10 more ways to place 10 counters in 3 boxes. Write a number sentence to describe each way. Lesson 2 Box A Box B Box C Number Sentence E2 Book Chapter 1

10 Addition Puzzles Complete this addition puzzle by filling in the boxes. Use the frames below to show all possible solutions. Lesson 3 There are solutions to this puzzle, but the number will always be in the empty circle. Chapter 1 Book E3

11 Counting on a Number Line Use the number lines from Problems 1 to 4 on LAB page 7 to answer the questions. Lesson 4 The number zero had a tag on every number line in Problems 1 to 3. Which other numbers had tags on all three number lines? What is the next number that would be tagged on every number line in Problems 1 to 3, if the number lines continued? What is the first number that would be tagged on every number line in Problems 1 to 4, if the number lines continued? E4 Book Chapter 1

12 Adding on the Number Line Lesson 5 If you jump from one labeled point to another labeled point on this number line, will the number of spaces you jump over be: always odd, always even, or sometimes odd and sometimes even? Try a few jumps and look for a pattern. Use the table to record your jumps. Circle the phrase above that matches the pattern. Start 3 15 Land 11 9 Spaces Jumped If you add an odd number to an odd number, will the answer be: (circle one) odd, even, or can t tell? Chapter 1 Book E5

13 Subtracting on the Number Line Label the number line and draw jumps to help complete the number sentences. Lesson E6 Book Chapter 1

14 Skip-Counting Lesson 7 Put an X through the multiples of 3 and circle the multiples of 4. What marking do multiples of 6 always have? If multiples of 2 were marked with a triangle, what would be the first number with an X and a triangle? If multiples of 2 were marked with a triangle, what would be the first number with an X, a circle, and a triangle? Chapter 1 Book E7

15 Finding Missing Parts Find numbers that make this sentence true. Lesson Record the numbers in the table below This number sentence has too many possible solutions to list them all. 2 Record some of the possible solutions in the table. E8 Book Chapter 1

16 Recognizing Rectangular Arrays Fill in the total number of dots for each box or group of boxes. Lesson 1 Fill in the total number of dots for each box and find the total. Chapter 2 Book E9

17 Arrays of Square Tiles These rectangular arrays of square tiles are partly covered by a striped card. How many tiles can you see? How many tiles are covered? Lesson 2 Can see Covered Total Can see Covered Total Can see Covered Total Can see Covered Total Can see Covered Total Can see Covered Total E10 Book Chapter 2

18 Intersecting Lines Look back at LAB pages 25 and 26. Lesson 3 There were There were There were There were There were different maps with 1 street. different maps with 2 streets. different maps with 3 streets. different maps with 4 streets. different maps with 5 streets. Predict how many different maps can be made with 8 streets. Using as many spaces as you need below, draw all the 8-street maps, and label each map with its number of intersections. Number of Number of Number of Intersections Intersections Intersections Number of Number of Number of Intersections Intersections Intersections Number of Number of Number of Intersections Intersections Intersections Chapter 2 Book E11

19 Visualizing Intersections Each circle touches two sets of lines. In each blank circle, write the number of intersections you would see if the two sets of lines were both part of the same map. Also draw any missing sets of lines. Lesson 4 E12 Book Chapter 2

20 Lesson 5 Finding the Number of Intersections Draw a map of a town that has Draw a map of a town that has 7 streets and 12 intersections. 13 streets and 12 intersections. Draw a map of a town that has Draw a map of a town that 8 streets and 12 intersections. has 8 streets and more than 15 intersections. Draw a map of a town that Draw a map of a town that has 9 streets and more than has 10 streets and fewer than 14 intersections. 16 intersections. Chapter 2 Book E13

21 Pairing Objects How many handshakes would there be? A group of three hikers met a group of three bicyclists. Lesson 6 How many people were there? If each hiker shook hands with each bicyclist, how many handshakes would there be? Now imagine that 2 hikers met 4 bicyclists. How many people were there? Draw a diagram to show all of the handshakes if each hiker shook hands with each bicyclist. How many handshakes were there? What other number of handshakes could occur for 6 total hikers and bicyclists? E14 Book Chapter 2

22 Listing Combinations List all of the three-digit numbers that have: a hundreds digit from this list: 1, 2, 3 a tens digit from this list: 4, 5 a ones digit from this list: 6, 7, 8, 9 Lesson 7 Chapter 2 Book E15

23 Using Multiplication Lesson 8 The map of a tiny town shows Mia arranged her baseball cards 8 streets and 12 intersections. into 5 equal rows. She had 30 Draw the map. cards. How many columns did she make? Tony had 8 nickels. How much money did he have? The T-Shirt Store has 4 colors of shirts. Each can be ordered in small, medium, or large. How many one color one size combinations are there? Ryan takes 6 steps forward and 1 step back. If he moves this way two more times, what is the total number of steps he will take? Map A has 7 horizontal streets and 8 vertical streets. Map B has 6 horizontal streets and 9 vertical streets. Which map has more intersections? Explain. E16 Book Chapter 2

24 Writing Number Sentences for Intersecting Lines Draw a map to match the number sentences. Fill in the missing numbers. Lesson 9 9 lines 9 lines 18 intersections 20 intersections 9 lines 10 lines 14 intersections 24 intersections 10 lines 10 lines 16 intersections 21 intersections Chapter 2 Book E17

25 Breaking Products into Factors Draw a map to match the number sentences. Fill in the missing numbers. Lesson lines 11 lines 10 intersections 18 intersections 11 lines 11 lines 24 intersections 0 intersections 11 lines 11 lines 28 intersections 30 intersections E18 Book Chapter 2

26 Separating Arrays Each array was cut into four parts. The number of tiles in each part were added together to find the total number in the array. Draw lines to show how the array was cut, and fill in the blanks. Lesson (4 5) (4 4) (4 8) (3 3) (4 3) (7 4) Chapter 2 Book E19

27 Introducing Magic Squares Fill in the blanks to make these squares into magic squares. Lesson 1 Jane says that, in a magic square, the sum of the top-left and bottom-right numbers are equal to the sum of the top-right and bottom-left numbers. Do you agree? Explain. E20 Book Chapter 3

28 Completing Magic Squares In a magic star, each line of 4 numbers has the same sum. Complete the magic stars. Lesson 2 Chapter 3 Book E21

29 How Many Marbles? Yara has 3 marbles. She puts them into 3 boxes marked A, B, and C in many different ways. Fill in the blanks in her table and find any ways she missed. Lesson 3 A B C Total E22 Book Chapter 3

30 Reasoning About Money Dora collects aluminum cans for recycling. She gets 5 for each can she turns in. Lesson 4 If Dora gets $1.00, how many cans did she turn in? If Dora turns in 30 cans, how much money will she get? Complete the table. Graph the points from the table. Dora turned in cans... and she got $1.00 $1.50 Chapter 3 Book E23

31 Drawing Conclusions Jackie had some marbles and put all of them into three boxes marked A, B, and C. Decide if the statement is true (T) or false (F). Statement Lesson 5 If Jackie put the same number of marbles in each box, then the total T F number of marbles must be even. Statement If Jackie put an even number of marbles in each box, then the total T F number of marbles must be even. Statement If Jackie put an odd number of marbles in each box, then the total T F number of marbles must be odd. Statement If Jackie started with an even number of marbles, then she could not have put the same number of marbles in each box. Statement If Jackie put a different number of marbles in each box, the total T F number of marbles must be odd. T F E24 Book Chapter 3

32 Using the Fewest Coins 10 can be made in different ways. Are there any amounts of money that can be made in only one way? Explain. Lesson 6 For any amount, what coins would you use to get a combination using the largest number of coins? Explain. Linda had 7 coins worth 53 in her pocket. She used 3 coins to buy a pencil. She now has 22. What were the 3 coins she used? Explain. How many different amounts can you have with only 2 coins? Name the coins and amounts. David has 1 quarter, 1 dime, 2 nickels, and 1 penny. How many combinations of 3 coins can he make? List the combinations. Chapter 3 Book E25

33 Adding and Subtracting with Coins Add and subtract coins by completing the diagram. Show each amount with the fewest coins. Lesson 7 E26 Book Chapter 3

34 Estimating Sums and Differences Write a number in the box that makes the sum a little more than 60. Lesson Write the exact sum for Problems 1 to 4 on the line. Write a number in the box that makes the difference a little less than Write the exact difference for Problems 6 to 9 on the line. How could knowing help you solve ? Chapter 3 Book E27

35 Grouping Units The games at the arcade only accept quarters. Sophia had some dollars and quarters. She traded all her dollars for quarters. Complete the table to show how many quarters she might have now. Lesson 1 It costs 75 to play one of the arcade games. Complete the table for different numbers of games. Games Quarters 12 Cost 75 $1.50 $7.50 $15.00 E28 Book Chapter 4

36 Lesson 2 Adding and Subtracting Measurements Complete the table using the fewest units. Chapter 4 Book E29

37 Regrouping with Base-Ten Blocks Write the number that matches the group of base-ten blocks. Lesson 3 If you combine the three groups above, how many blocks are used? flat, rods, units Write the same amount using the fewest blocks. flats, rods, unit E30 Book Chapter 4

38 Mystery Number Puzzles This puzzle is not complete. Lesson 4 A I am greater than 6 4. B I am a multiple of 7. C I am not greater than 6 8. D? What numbers match the first 3 clues? You can use this space to keep track of your reasoning. Choose one of the numbers from Problem 1. Write a fourth clue so your number is the mystery number. D Mystery number: Chapter 4 Book E31

39 Focusing on Digits This puzzle is on LAB page 76. Lesson 5 A I am between and B h u 3 C I am a square number. D t h 2 Can you find the mystery number without using all the clues? Which clue didn t you use? E32 Book Chapter 4

40 Working Strategically Here are four clues for a mystery number puzzle. I am a two-digit number. I am an odd number. t u 6 t u Find the mystery number, and record the clues in the order you use them. A Who Am I? Lesson 6 B C D mystery number: Why did you choose to start with the clue you did? How did you choose your second clue? Chapter 4 Book E33

41 Place Value with Larger Numbers Round 530 to the nearest hundred. Lesson 7 Round 2,600 to the nearest thousand. Round 490 to the nearest hundred. Round 8,100 to the nearest thousand. Label the tags on the number line. Round 23,000 to the nearest ten thousand. Round 87,000 to the nearest ten thousand. Round 66,000 to the nearest ten thousand. E34 Book Chapter 4

42 Grouping by Tens Write a number or draw a picture to match. When drawing a picture, use the fewest blocks. Lesson 1 1,032 3,012 3,210 3,102 2,031 1,302 2,310 Write the numbers from Problems 1 12 in order from least to greatest. Chapter 5 Book E35

43 Rounding to the Nearest Ten or Hundred List as many numbers as you can for each situation. If you round me to the nearest ten, you get 380. I am greater than 380. Lesson 2 If you round me to the nearest ten, you get 270. I am less than 270. If you round me to the nearest ten, you get 320. If you round me to the nearest ten, you get 450. If you round me to the nearest hundred, you get 500. E36 Book Chapter 5

44 Finding Differences on the Number Line Complete the table. Use the blank space for number line pictures if you wish. Lesson 3 x 1,000 x Chapter 5 Book E37

45 Using Tens and Hundreds to Estimate Sums Write a set of instructions that would help a friend decide if a pair of two-digit numbers have a sum of 100. Your instructions should work for pairs like and Lesson 4 E38 Book Chapter 5

46 Estimate and Adjust to Find Sums For each addition problem, predict the ones digit. A B C Lesson 5 For each addition problem, predict the tens digit. A B C For each addition problem, predict the hundreds digit. A B C For each addition problem, predict the thousands digit. A B C Chapter 5 Book E39

47 Using Cross Number Puzzles to Add Complete each Cross Number Puzzle. Lesson 6 E40 Book Chapter 5

48 Lesson 7 Using a Common Addition Algorithm Some of the digits are missing from these addition problems. Write the missing digits. Name Chapter 5 Book E41

49 Lesson 8 Estimate and Adjust to Find Differences For each subtraction problem, predict the ones digit. A B C For each subtraction problem, predict the tens digit. A B C For each subtraction problem, predict the hundreds digit. A B C For each subtraction problem, predict the thousands digit. A B C E42 Book Chapter 5

50 Lesson 9 Using Cross Number Puzzles to Subtract Complete each Cross Number Puzzle. Chapter 5 Book E43

51 Lesson 10 Using a Common Subtraction Algorithm Some of the digits are missing from these subtraction problems. Write the missing digits. Name E44 Book Chapter 5

52 Exploring Rules Complete the set of Find a Rule cards. Lesson 1 Make a table to show the data from the cards. If you know the number on the back of a card from the set in Problem 1, how can you find the number on the front of the card? Chapter 6 Book E45

53 Finding Two Rules The school store sells boxes that contain both pens and pencils. The boxes are all the same. Complete the FAR cards to show the numbers of pens and pencils in different numbers of boxes. Lesson 2 A B C D E F G H I If you know the number of boxes, how can you find the number of pens? If you know the number of boxes, how can you find the number of pencils? E46 Book Chapter 6

54 Rules That Use More Than One Input Complete the table. INPUTS RULE A RULE B RULE C 3, , , , , 6 8, 6 3, 9 5, 15 9, 9 Lesson 3 What do you do with the inputs to get Rule A? What do you do with the inputs to get Rule B? What do you do with the inputs to get Rule C? Chapter 6 Book E47

55 Cards with Three Rules Only the fronts of these Find a Rule cards are shown. These cards use three rules. Complete the table below. Then complete the cards. Lesson 4 A B C D E F Card Rule I Rule II Rule III A B C 7 8 D E F 10 4 E48 Book Chapter 6

56 Recording Rules with Fractions Complete the Find a Rule cards. Shade the pictures to match the numbers. Lesson 5 A B C D E F If you know that the amount for Rule A is 2_ 5, how can you figure out the amount for Rule B? Chapter 6 Book E49

57 Patterns in Geometry Lesson 6 Describe the next figure following the pattern using words or pictures. How many small triangles ( or ) are in the next figure following the pattern? How do you know? E50 Book Chapter 6

58 Patterns on the Number Line Hotel The numbers are arranged to match the Number Line Hotel. Complete the shading pattern on the grid and then describe the pattern with at least 3 different rules. Lesson 7 Describe the pattern. Chapter 6 Book E51

59 Finding Rules for Sharing Machines Sharing Machine A shares groups of objects equally between two people. Sharing Machine B shares groups of objects equally among three people. The machines do not accept amounts that need to be cut in order to be shared. Circle the amounts below that Sharing Machine A will share. Draw a box around the amounts below that Sharing Machine B will share. Lesson 8 Write an amount that could be shared by Sharing Machine A and Sharing Machine B. How do you know both machines will accept your amount? E52 Book Chapter 6

60 More Rules with Sharing Machines These machines cannot be adjusted. Each makes the same number of packages every time it is used. Unlike other machines, they can split objects. Lesson 9 SHARING MACHINE X Contents of Each Input Package Number of Packages That Come Out Contents of Each Output Package 12 coins 3 dozen eggs 6 2 packs of books, 18 in each pack 6 2 whistles 11 blocks SHARING MACHINE Y Contents of Each Input Package 9 pears Number of Packages That Come Out Contents of Each Output Package 7 books rulers 3 dozen apples 18 apples 42 erasers 21 erasers Chapter 6 Book E53

61 Finding a Rule for an Unusual Machine Find a rule and complete the table. Use the following coins: Lesson 10 INPUT OUTPUT 2 peaches and 2 peaches and 1 peach 1 peach and 2 peaches and 3 peaches E54 Book Chapter 6

62 Working with Fractions In two of these pictures, the shaded part shows 1_ 3. Circle the picture that does NOT have 1_ 3 shaded. Lesson 1 Explain how you knew the picture did not show 1_ 3. Chapter 7 Book E55

63 Making Equivalent Fractions Circle the pictures that have 2_ 3 shaded. Lesson 2 Circle the pictures that have 2_ 4 shaded. E56 Book Chapter 7

64 Exploring Equivalent Fractions Oh no! The labels got smudged, and most of the numbers were erased! What could this table be about? Fill in the numbers, and make up a story that could fit. Lesson 3 Chapter 7 Book E57

65 Fractional Relationships in Context Shade 1_ 2 of each picture. Lesson 4 E58 Book Chapter 7

66 Comparing Fractions in Context Lesson 5 One egg is 1_ 12 of a dozen eggs. Crystal had half a dozen eggs. She borrowed one more egg from her neighbor. How many eggs did she have then? eggs Complete the number sentence. 1_ 2 1 _ 12 1 twelfth of a dozen and 5 twelfths of a dozen is the same as twelfths of a dozen, or half dozen. 1_ 12 _ 5 12 _ _ 12 1 _ 12 2 Chapter 7 Book E59

67 Comparing Fractions Label the blank bars if you want. Lesson 6 Make true sentences using,, or. Examples: 3 5 3_ 4 3 _ _ 5 1_ 2 1 _ 2 3_ 4 3 _ 4 3 _ 6 1_ 3 1 _ 3 2_ 5 3 _ 5 5_ 12 1_ 2 1 _ 2 1_ 3 1 _ 2 1_ 2 1_ 3 1 _ 3 1_ 2 1 _ 3 2_ 3 1_ 3 1 _ 3 7_ 12 _ _ 6 1_ 2 1 _ 3 3_ 8 5 _ 8 2_ 5 3 _ 5 1_ 2 2 _ 3 1_ 9 1 _ 9 2_ 12 _ _ 3 1 _ 3 1_ 3 1 _ 3 E60 Book Chapter 7

68 Introducing Pictographs There are 24 students in Mr. Falco s class. They all cleaned out their desk and counted the number of pencils they found. No one found more than 6 pencils _ 3 1_ 2 1_ 6 1_ 8 1_ 3 of the class found 0 pencils. of the class found 1 pencil or fewer. of the class found 2 pencils or fewer. of the class found exactly 5 pencils. of the class found 6 pencils. of the class found 4 or more pencils. Lesson 1 Complete the pictograph to show the number of pencils students found in their desks. Chapter 8 Book E61

69 Making Pictographs There are 24 students in Mr. Reeve s class. The students answered a survey about the number of hours they spent reading the day before. The pictograph shows the results of the survey. Lesson 2 What fraction of the class read only 1 hour? What fraction of the class read 2 hours or more? Jamal said, 1_ of the class read more than I did. 4 How many hours did Jamal read? E62 Book Chapter 8

70 Lesson 3 Introducing Bar Graphs A magazine published this bar graph about what third graders want to be when they grow up. They did not say how many students answered the survey or label the height of the bars. Is it possible to determine which career was chosen most often? If so, what is it? Is it possible to determine the number of 8-year-olds in the survey? If so, how many are there? If 6 students chose Other, how many students chose Veterinarian? If 12 more students chose Doctor than chose Firefighter, how many students chose Doctor? What fraction of the students in the survey answered Other? Could 90 people have answered the survey? Explain. Chapter 8 Book E63

71 Exploring Probability Imagine that you toss two number cubes numbered 1 through 6. One cube is black, and one cube is white. Classify the following events as possible (P) or impossible (I). Lesson 4 black white 8 black white 3 black white 6 black white 4 black white 5 black white 11 Find the smallest possible value for each. black white black white black white Find the largest possible value for each. black white black white black white List all the possible values for the product black white. E64 Book Chapter 8

72 Experimenting with Probability Imagine that you toss a coin five times and record whether each toss is heads or tails. Lesson 5 Is it possible to record all heads? If you have just tossed 3 heads in a row, which is more likely: the next toss lands heads or the next toss lands tails? Explain. Which is more likely: 1 head in five tosses or 3 heads in five tosses? Explain. Chapter 8 Book E65

73 Making and Using a Price Chart Lesson 6 Erasers cost 6. Pencils cost 9. No purchases over 25! Complete the table to show all the possible purchases. Erasers Pencils Price Devi and Ann both spent the same amount, but they bought different things. What might they have spent? What might they have bought? E66 Book Chapter 8

74 Finding Locations on a Map Lesson 7 Use to mark every square in the grid where the product of the row and column number is even. Use to mark every square in the grid where the sum of the row and column number is even. What can you say about the row and column numbers if their intersection is marked (both and )? Chapter 8 Book E67

75 Naming Intersections on a Map Lesson 8 Ms. Tery hid a locked suitcase at an intersection where the sum of the street number and the avenue number is 8. Mark any intersections where the suitcase could be with a. Ms. Tery hid the key to the suitcase at an intersection where the street number is 2 more than the avenue number. Mark any intersections where the key could be with a. When you found the suitcase, the key was in the lock. Where was the suitcase? E68 Book Chapter 8

76 Graphing Solutions to Open Number Sentences Lesson 9 Complete the table for each open sentence and graph the points. Use an for Problem 1 and a for Problem Is there a pair of numbers that works for both sentences? How do you know? Chapter 8 Book E69

77 Multiplication Facts Practice There are many ways to write 120 as the product of two whole numbers. Here s one: ( counts as the same way.) Find as many ways as you can. Lesson How do you know you found all the ways? E70 Book Chapter 9

78 Lesson 2 Connecting Multiplication and Division Write a story to match the sentence. Then complete the fact family Draw a picture to model the division sentence and your story. You can use the grid if you want. Chapter 9 Book E71

79 Using Multiplication Facts There are many ways to draw a rectangular array with 24 squares. Draw as many arrays as you can. Lesson 3 Find as many ways as you can to write 48 as the product of two whole numbers E72 Book Chapter 9

80 Combining Arrays Lesson 4 QW 4 4 JY 2 VW NW NZ QZ Chapter 9 Book E73

81 Separating Arrays into Regions Use the number of squares in each part to find the number of squares in the entire array. Lesson 5 Total number of squares: Here is another way to separate the array. Write number sentences for the two parts of this array. Write a number sentence for the entire array. E74 Book Chapter 9

82 Lesson 6 Separating Arrays into Four Regions Imagine an array with 8 rows of small squares. The array has been divided into four sections using two lines. You can see the number of squares in the two sections on the left, but not the two sections on the right. The two sections on the right of the array might have any number of columns! Think of at least three different arrays, and complete a Cross Number Puzzle to go with each of your arrays. You may use the grid at the bottom of the page if you wish. Chapter 9 Book E75

83 Measuring to the Nearest 1_ 8 Inch Lesson 1 On the ruler above, how many spaces is each inch divided into? Write the measurement of each segment to the nearest 1_ 8 inch. A: in. C: in. E: in. B: in. D: in. F: in. Write the lengths of the segments in order from shortest to longest. E76 Book Chapter 10

84 Measuring Circles The distance across a circle, through its center, is called the diameter of the circle. The distance around the circle is called the circumference of the circle. (You could measure it by bending a piece of string along the circle and then measuring the straightened-out string with a ruler.) Measure the diameter and circumference of each circle to the nearest 1 4 inch. Lesson 2 A B C D E Diameter Circumference Chapter 10 Book E77

85 Measuring Paths Lesson 3 Measure path MNOPQ to the nearest 1_ 4 inch. Measure path MPNOQ to the nearest 1_ 4 inch. Measure path MONPQ to the nearest 1_ 4 inch. Find and measure another path from M to Q that touches N, O, and P. E78 Book Chapter 10

86 Measuring in Centimeters Lesson 4 Measure each segment to the nearest centimeter. AB : AC : AD : AE : cm cm cm cm BC : BD : BE : cm cm cm CD : CE : DE : cm cm cm Measure the path AEDAB to the nearest centimeter. Find a path along the segments in the picture that starts at A and ends at B and is... A... about 28 cm long. B... about 36 cm long. cm Chapter 10 Book E79

87 Area and Perimeter For each problem, draw along the lines to make a figure that has the area (A) and perimeter (P) shown. Lesson 5 A: 4 sq cm A: 5 sq cm A: 6 sq cm A: 5 sq cm P: 10 cm P: 10 cm P: 10 cm P: 12 cm A: 9 sq cm A: 8 sq cm A: 6 sq cm P: 12 cm P: 12 cm P: 12 cm E80 Book Chapter 10

88 More Area and Perimeter Draw a figure along the lines with the smallest possible perimeter for each area. Lesson 6 A: 4 sq cm A: 5 sq cm A: 6 sq cm P: cm P: cm P: cm A: 7 sq cm A: 8 sq cm A: 9 sq cm P: cm P: cm P: cm Chapter 10 Book E81

89 Measuring Volume Each problem shows a picture of a model made from centimeter cubes. Build the model and find its volume. Lesson 7 volume: cubic cm volume: cubic cm volume: cubic cm volume: cubic cm volume: cubic cm volume: cubic cm E82 Book Chapter 10

90 Classifying Polygons by the Number of Right Angles Write the letter of each figure in the oval that describes it. Lesson 1 A B C D E F G H J K I Chapter 11 Book E83

91 Classifying Polygons Using Pairs of Parallel Sides Write the letter of each figure in the oval that describes it. Lesson 2 A B C D E F G H J K I E84 Book Chapter 11

92 Identifying Congruent Figures Draw as many figures as possible on the grid below. However: all figures you draw must have the same area as figure A, one figure must be congruent to figure A, there should be no congruent figures, and draw only on the grid lines. Lesson 3 A Use the grid to draw at least 4 figures that are congruent to figure B. Chapter 11 Book E85

93 Working with Lines of Symmetry Draw 3-sided polygons for each. Lesson 4 exactly 3 equal sides exactly 2 equal sides no equal sides Draw 4-sided polygons for each. 4 equal sides exactly 2 equal sides 2 pairs of equal sides Circle all the figures you drew that have at least 1 line of symmetry. E86 Book Chapter 11

94 Identifying Attributes of Two-Dimensional Figures Cut out the two congruent triangles at the bottom of the page. Create various figures by matching congruent sides. Trace your figures onto this page, and then draw all lines of symmetry on each figure. Lesson 5 Chapter 11 Book E87

95 Identifying and Defining Polygons Follow the directions. Place point A at (1,4). Place point B at (3,6). Place point C at (5,6). Place point D at (5,4). Place point E at (3,2). Place point F at (1,2). Draw AB. Draw BC. Draw CD. Draw AD. Lesson 6 A B C D A is the instruction for drawing a trapezoid with corners at 4 of the points you plotted. Use the points you plotted to give the instructions for drawing: a different trapezoid a square a pentagon a hexagon What other polygon can you make using the points on the grid? E88 Book Chapter 11

96 Making a Figure Zoo Make a three-dimensional figure by cutting the large net below along the heavy lines and folding along the dashed lines. Then answer the questions about the figure. Lesson 7 How many faces does figure DD have? faces Is figure DD a pyramid? Circle one: Yes No How many faces have at least 2 lines of symmetry? faces Is figure DD a prism? Circle one: Yes No On the small copy of the net, shade two faces that are congruent and opposite each other on the figure. DD DD Chapter 11 Book E89

97 Figure Safari Find all the figures in the class Figure Zoo that match this set of clues: CLUES: At least 1 of my faces is a triangle. All of my faces have at least 1 line of symmetry. Lesson 8 Figures: Choose one of the figures that matches the clues above. Figure: Write one or two more clues so your chosen figure is the only figure that matches all the clues. CLUES: At least 1 of my faces is a triangle. All of my faces have at least 1 line of symmetry. E90 Book Chapter 11

98 Describing Three-Dimensional Figures Use the diagrams of the three-dimensional figures to write the numbers in the blanks. Lesson 9 Face A has sides. Prism 1 has edges. the number of sides of the number of edges one of the parallel faces of the prism Face D has sides. Prism 2 has edges. the number of sides of the number of edges one of the parallel faces of the prism Face E of Pyramid 1 has Pyramid 1 has edges. the number of sides of the bottom face sides. the number of edges of the pyramid Chapter 11 Book E91

99 Multiplication and Addition Find the costs. Lesson 1 Cost of 5 cars 30 Cost of 7 hats $7.00 Cost of 5 trains Cost of 7 bows Cost of 5 of each item 90 Cost of 7 of each item $8.05 What is the cost of What is the cost of 1 car and 1 train? 1 hat and 1 bow? Cost of 3 pencils 12 Cost of 4 pencils 28 Cost of 6 pens 60 Cost of 8 pens $1.20 Cost of 6 of each item Cost of 4 of each item Show (8 3) 5 (8 5) (3 5) using the machines below. E92 Book Chapter 12

100 Using Sums to Multiply Make the third product equal to the sum of the first two products _ _ 27 4 _ 8 _ 8 _ Lesson _ 17 3 _ 3 _ 3 _ 6 _ 6 _ 6 _ _ _ 4 _ 4 _ 4 _ 162 _ 7 _ 7 _ Chapter 12 Book E93

101 Multiplying with Base-Ten Blocks Complete the tables. Lesson 3 a a a a a a b b b b b b c c c 10 c c c E94 Book Chapter 12

102 Multiplying with Arrays Lesson (10 10) (9 10) ( 10) ( 10) ( 10) ( 10) Chapter 12 Book E95

103 Separating Arrays to Multiply Fill in the missing numbers. Imagine or draw lines and intersections if needed Lesson E96 Book Chapter 12

104 Multiplying with Larger Numbers Fill in the missing numbers. Imagine or draw the diagrams if needed Lesson Chapter 12 Book E97

105 Finding Missing Factors Complete the multiplication sentences. You may imagine or draw the diagrams if you wish. Lesson _ 7 _ 7 _ _ E98 Book Chapter 12

106 Division Missing Factor Describe how you might complete the following multiplication problem so that another student could understand your steps. Lesson 8 4 _ 132 Chapter 12 Book E99

107 Measuring Temperature Lesson 1 Fill in the missing temperature. Shade the thermometer to match. E100 Book Chapter 13

108 Measuring Time Fill in the missing numbers, times, and clock hands. Lesson 2 Chapter 13 Book E101

109 Comparing Times Fill in the missing times, clock hands, words, and numbers. Lesson 3 E102 Book Chapter 13

110 Weight in Ounces, Pounds, and Tons A tennis ball weighs 2 oz. How much does a baseball weigh? Lesson 4 How much does a football weigh? How much does a basketball weigh? How many tennis balls would it take to balance a basketball? The maximum weight for a bowling ball is 4 tennis balls less than 12 basketballs. What is the maximum weight for a bowling ball? Chapter 13 Book E103

111 Weighing to Solve Problems All bags with the same label have the same weight. weighs 2 lb, 13 oz. Lesson 5 weighs lb, oz. weighs lb, oz. weighs lb, oz. weighs lb, oz. weighs lb, oz. weighs lb, oz. E104 Book Chapter 13

112 Measuring Capacity If you only have a 5-gallon jug and a 3-gallon jug, how could you use them to measure exactly 4 gallons? Lesson 6 First, fill the jug to fill the -gallon jug. Then pour from that -gallon jug to the top. There are gallons left in the -gallon jug, and the -gallon jug is full. Empty the full jug. Then pour the gallons from the -gallon jug into the -gallon jug. Fill the -gallon jug to the top. Pour enough from the -gallon jug to fill the -gallon jug the rest of the way. To do that you will pour gallon out and have gallons left. There are 4 gallons in the -gallon jug. Chapter 13 Book E105

113 Weight and Capacity Suppose you have exactly 1 cup of each of these items. Lesson 7 You want to put the cups in order from lightest to heaviest. You have only a pan balance. You can compare two cups at a time. Suppose you start with the cooking oil and the water. It would look something like this. The water is heavier. So, you put that cup aside as you continue to find the lightest cup. Next, you compare the cooking oil with another cup. You put the heavier cup aside. You keep doing that until you find the lightest. Which cup do you think will be the lightest? Putting aside the lightest, you now have four cups left to order. You compare all of them using the balance. How many comparisons will you need to make? Which cup do you think will be the lightest this time? Now you have three cups left. How many comparisons will you make with three cups? Which cup do you think will be the lightest this time? Finally, you can find the heaviest cup of all by doing one more comparison. Which cup do you think it will be? E106 Book Chapter 13

114 Analyzing Temperature Data Lesson 8 Fill in the missing numbers and shading. Chapter 13 Book E107

115 Place Value and Expanded Form Find the mystery number. Lesson 1 I. I am a three-digit number. II. My ones digit is 4 times my hundreds digit. III. I am a square number. I. I am a three-digit number. h t u II. My hundreds digit minus my tens digit is 3. (h t 3) III. My tens digit minus my ones digit is 3. (t u 3) IV. The product of my digits is 80. (h t u 80) I. I am a three-digit number. II. I am a factor of 888. III. The product of my digits is 64. I. I am an even three-digit number less than 500. II. I am a multiple of 71. III. My tens digit is the product of my hundreds digit and my ones digit. E108 Book Chapter 14

116 Breaking Up Numbers to Add Find the sum. Write a story to go with the number sentence. Lesson Chapter 14 Book E109

117 Breaking Up Numbers to Subtract Complete the number sentence Lesson ,016 E110 Book Chapter 14

118 Lesson 4 Comparing Addition and Subtraction Each letter stands for a digit from 0 through 9. Each letter only has one value, but two different letters might have the same value. Figure out what digit each letter stands for. AC,ACA BC,BCB ACA,CAC W,XYZ W,XVZ YZ,VWZ If the letter O stands for 8 and the letter U stands for 7, what do the rest of the letters stand for? TWO TWO FOUR Chapter 14 Book E111

119 Addition Short cuts and Rounding Each letter stands for a digit from 0 through 9. Different letters must have different values. Figure out what digit each letter stands for. Lesson 5 ABC ABC ABC B,2AD E112 Book Chapter 14

120 Lesson 6 Addition and Subtraction Situations Complete the number sentence and write a story to go with it A On a separate sheet of paper, secretly write and complete a number sentence with at least 1 addition and 1 subtraction in it. B On this page, write a story to go with the number sentence. C Have a partner write a number sentence to match your story. D Compare your partner s number sentence to yours. Chapter 14 Book E113

121 Multiplying by Tens Write and complete multiplication sentences for each array of quarters. Write as many as you can. Lesson E114 Book Chapter 15

122 Separating Large Arrays Find the area of this L-shaped field. Use pictures, words, or numbers to show your solution. Lesson 2 11 miles 7 miles 17 miles 8 miles Chapter 15 Book E115

123 Making a Vertical Record Find the product _ _ _ Lesson _ _ _ _ _ Solve. Which product is larger? or Show how you know with words, numbers, or pictures. E116 Book Chapter 15

124 Multiplying Three-Digit Numbers Use the diagram to help you find the product Lesson , Chapter 15 Book E117

125 Lesson 5 Multiplication and Division Situations Max had 132 square tiles. Each tile had an area of 1 square foot. He used the tiles to make the floor of a rectangular patio, so that he would use the least amount of fencing to go around it. What is the length and width of Max s patio? Use the space below to show how you solved the problem. E118 Book Chapter 15

126 Using Arrays for Division There are 126 children going on a field trip. Each van can hold 7 children. How many vans do they need? Lesson 6 But wait! These kids are not old enough to ride in the front seat. Only 6 children can ride in each van. How many vans do they need? The teachers consider using larger vans that can hold 9 children. How many vans of this size will they need? The teachers decide to use buses. Each bus can hold 48 children. How many buses do they need, and how many empty seats will there be? Chapter 15 Book E119

127 Solving Division Puzzles For each division problem, create and solve a division puzzle using only whole numbers, if possible. Cross out any problems which cannot be solved with only whole numbers. For Example: cannot be solved with only whole numbers because and Lesson Find more puzzles for E120 Book Chapter 15

128 Division with Remainders Remember that the Marble Club has 185 marbles, and 7 official members. One day, the marbles are shared evenly and there are none left. How many members are at the meeting? Lesson 8 Each member gets more than 28 marbles but fewer than 33. How many members are at the meeting? A new member joins the club and contributes 38 marbles to the club s collection. All members attend the welcome meeting. How many marbles are left over after they are shared evenly? With the new marble collection, how many members are at a meeting when there are 6 marbles left over? Chapter 15 Book E121

Saxon Math Manipulatives in Motion Primary. Correlations

Saxon Math Manipulatives in Motion Primary. Correlations Saxon Math Manipulatives in Motion Primary Correlations Saxon Math Program Page Math K 2 Math 1 8 Math 2 14 California Math K 21 California Math 1 27 California Math 2 33 1 Saxon Math Manipulatives in

More information

Math 2 nd Grade GRADE LEVEL STANDARDS/DOK INDICATORS

Math 2 nd Grade GRADE LEVEL STANDARDS/DOK INDICATORS Number Properties and Operations Whole number sense and addition and subtraction are key concepts and skills developed in early childhood. Students build on their number sense and counting sense to develop

More information

Squares Multiplication Facts: Square Numbers

Squares Multiplication Facts: Square Numbers LESSON 61 page 328 Squares Multiplication Facts: Square Numbers Name Teacher Notes: Introduce Hint #21 Multiplication/ Division Fact Families. Review Multiplication Table on page 5 and Quadrilaterals on

More information

Minute Simplify: 12( ) = 3. Circle all of the following equal to : % Cross out the three-dimensional shape.

Minute Simplify: 12( ) = 3. Circle all of the following equal to : % Cross out the three-dimensional shape. Minute 1 1. Simplify: 1( + 7 + 1) =. 7 = 10 10. Circle all of the following equal to : 0. 0% 5 100. 10 = 5 5. Cross out the three-dimensional shape. 6. Each side of the regular pentagon is 5 centimeters.

More information

Summer Math Calendar

Summer Math Calendar Going into Third Grade Directions: Follow the daily activities to practice different math concepts. Feel free to extend any of the activities listed. When the work is completed, have a parent initial the

More information

Summer Solutions Problem Solving Level 4. Level 4. Problem Solving. Help Pages

Summer Solutions Problem Solving Level 4. Level 4. Problem Solving. Help Pages Level Problem Solving 6 General Terms acute angle an angle measuring less than 90 addend a number being added angle formed by two rays that share a common endpoint area the size of a surface; always expressed

More information

Which group of numbers matches the tags? 14, 32, 48 14, 35, 49 14, 35, 50 14, 32, 49. How many dots are in the array?

Which group of numbers matches the tags? 14, 32, 48 14, 35, 49 14, 35, 50 14, 32, 49. How many dots are in the array? Choose the correct answer. Aisha has two cats. Merlin weighs 16 pounds. Felix weighs 3 pounds less than Merlin. How much do the two cats weigh together? Which number sentence answers the question? 16 1

More information

Essentials. Week by. Week. Calculate!

Essentials. Week by. Week. Calculate! Week by Week MATHEMATICS Essentials Grade WEEK 7 Calculate! Find two numbers whose product would be between 0 and 50. Can you find more solutions? Find two numbers whose product would be between,500 and,600.

More information

Contents. PART 1 Unit 1: Number Sense: Numbers to 10. Unit 2: Number Sense: Numbers to 20. Unit 3: Patterns and Algebra: Repeating Patterns

Contents. PART 1 Unit 1: Number Sense: Numbers to 10. Unit 2: Number Sense: Numbers to 20. Unit 3: Patterns and Algebra: Repeating Patterns Contents PART 1 Unit 1: Number Sense: Numbers to 10 NS2-1 Counting and Matching 1 NS2-2 One-to-One Correspondence 3 NS2-3 More, Fewer, and Less 5 NS2-4 How Many More? 7 NS2-5 Reading Number Words to Ten

More information

3.NBT NBT.2

3.NBT NBT.2 Saxon Math 3 Class Description: Saxon mathematics is based on the principle of developing math skills incrementally and reviewing past skills daily. It also incorporates regular and cumulative assessments.

More information

a. $ b. $ c. $

a. $ b. $ c. $ LESSON 51 Rounding Decimal Name To round decimal numbers: Numbers (page 268) 1. Underline the place value you are rounding to. 2. Circle the digit to its right. 3. If the circled number is 5 or more, add

More information

FSA Math Review. **Rounding / Estimating** **Addition and Subtraction** Rounding a number: Key vocabulary: round, estimate, about

FSA Math Review. **Rounding / Estimating** **Addition and Subtraction** Rounding a number: Key vocabulary: round, estimate, about FSA Math Review **Rounding / Estimating** Rounding a number: Key vocabulary: round, estimate, about 5 or more add one more-----round UP 0-4 just ignore-----stay SAME Find the number in the place value

More information

Bracken County Schools Curriculum Guide Math. Grade 1 Unit 1: Number Computation Suggested Length: Ongoing

Bracken County Schools Curriculum Guide Math. Grade 1 Unit 1: Number Computation Suggested Length: Ongoing Grade 1 Unit 1: Number Computation Suggested Length: Ongoing Program of Studies 1. How are numbers used in our everyday life? NC-2 order groups of objects according to quantity NC-3 explore appropriate

More information

2.NBT.1 20) , 200, 300, 400, 500, 600, 700, 800, NBT.2

2.NBT.1 20) , 200, 300, 400, 500, 600, 700, 800, NBT.2 Saxon Math 2 Class Description: Saxon mathematics is based on the principle of developing math skills incrementally and reviewing past skills daily. It also incorporates regular and cumulative assessments.

More information

First Name: Last Name: Select the one best answer for each question. DO NOT use a calculator in completing this packet.

First Name: Last Name: Select the one best answer for each question. DO NOT use a calculator in completing this packet. 5 Entering 5 th Grade Summer Math Packet First Name: Last Name: 5 th Grade Teacher: I have checked the work completed: Parent Signature Select the one best answer for each question. DO NOT use a calculator

More information

Summer Solutions Common Core Mathematics 4. Common Core. Mathematics. Help Pages

Summer Solutions Common Core Mathematics 4. Common Core. Mathematics. Help Pages 4 Common Core Mathematics 63 Vocabulary Acute angle an angle measuring less than 90 Area the amount of space within a polygon; area is always measured in square units (feet 2, meters 2, ) Congruent figures

More information

This book belongs to

This book belongs to This book belongs to This book was made for your convenience. It is available for printing from the website. It contains all of the printables from Easy Peasy's Math 4 course. The instructions for each

More information

Revised Elko County School District 2 nd Grade Math Learning Targets

Revised Elko County School District 2 nd Grade Math Learning Targets Elko County School District 2 nd Grade Math Learning Targets Content Standard 1.0 Students will accurately calculate and use estimation techniques, number relationships, operation rules, and algorithms;

More information

Third Grade Mathematics

Third Grade Mathematics Standard 1: Number & Operation 3.M.1.1.1 Read, write, compare, and order whole numbers to 10,000. (287.01.a) and use numbers 38-40% and use numbers Content Limit: When comparing numbers between 1,000 and

More information

Honors Geometry Summer Math Packet

Honors Geometry Summer Math Packet Honors Geometry Summer Math Packet Dear students, The problems in this packet will give you a chance to practice geometry-related skills from Grades 6 and 7. Do your best to complete each problem so that

More information

MATH NUMBER SENSE 3 Performance Objective Task Analysis Benchmarks/Assessment Students: 1. Students understand place value of whole numbers.

MATH NUMBER SENSE 3 Performance Objective Task Analysis Benchmarks/Assessment Students: 1. Students understand place value of whole numbers. Students: 1. Students understand place value of whole numbers. 1. Count, read, and write whole numbers to 10,000. Count to 10,000 Which numbers are whole numbers? Whole number 0, 15.3, 4/5, 8, 25 1/2 Count

More information

1. An NFL playing field (not counting the end zones) is 300 feet long and 160 feet wide. What is the perimeter? What is the area?

1. An NFL playing field (not counting the end zones) is 300 feet long and 160 feet wide. What is the perimeter? What is the area? Geometry: Perimeter and Area Practice 24 Many sports require a rectangular field of play which is a specific length and width. Use the information given in the problems below to compute the perimeter and

More information

Grade 3: PA Academic Eligible Content and PA Common Core Crosswalk

Grade 3: PA Academic Eligible Content and PA Common Core Crosswalk Grade 3: PA Academic Eligible and PA Common Core Crosswalk Alignment of Eligible : More than Just The crosswalk below is designed to show the alignment between the PA Academic Standard Eligible and the

More information

Correlation of Nelson Mathematics 2 to The Ontario Curriculum Grades 1-8 Mathematics Revised 2005

Correlation of Nelson Mathematics 2 to The Ontario Curriculum Grades 1-8 Mathematics Revised 2005 Correlation of Nelson Mathematics 2 to The Ontario Curriculum Grades 1-8 Mathematics Revised 2005 Number Sense and Numeration: Grade 2 Section: Overall Expectations Nelson Mathematics 2 read, represent,

More information

xcvbnmqwertyuiopasdfghjklzxcvbnmqwertyuiopa Grade 2 Math Crook County School District # 1 Curriculum Guide

xcvbnmqwertyuiopasdfghjklzxcvbnmqwertyuiopa Grade 2 Math Crook County School District # 1 Curriculum Guide qwertyuiopasdfghjklzxcvbnmqwertyuiopasdfghjkl zxcvbnmqwertyuiopasdfghjklzxcvbnmqwertyuiop asdfghjklzxcvbnmqwertyuiopasdfghjklzxcvbnmq wertyuiopasdfghjklzxcvbnmqwertyuiopasdfghjklz Crook County School District

More information

Grade Tennessee Middle/Junior High School Mathematics Competition 1 of 8

Grade Tennessee Middle/Junior High School Mathematics Competition 1 of 8 Grade 8 2011 Tennessee Middle/Junior High School Mathematics Competition 1 of 8 1. Lynn took a 10-question test. The first four questions were true-false. The last six questions were multiple choice--each

More information

Smiley Face Math Grade 2, Worksheet I

Smiley Face Math Grade 2, Worksheet I Section 2 Smiley Face Math Grade 2, Worksheet I Name 1. Complete the two patterns. 448, 458, 468,,, 498,, 518 285, 385, 485, 585,,,,,1085 2. Jackson ate a cookie at 1:00. He ate another cookie every 2½

More information

Maths Makes Sense. 1 Medium-term plan

Maths Makes Sense. 1 Medium-term plan Maths Makes Sense 1 Medium-term plan 2 Maths Makes Sense 1 Block 1 End-of-block objectives Arithmetic 1 Copy addition and subtraction Maths Stories with 1-digit, zero, a half and a quarter, e.g. 2 + 1

More information

Saxon Math K, Math 1, Math 2, and Math 3 Scope and Sequence

Saxon Math K, Math 1, Math 2, and Math 3 Scope and Sequence ,,, and Scope and Sequence Numbers and Operations Number Sense and Numeration Counts by 1 s, 5 s, and 10 s Counts by 2 s, 25 s Counts by 100 s Counts by 3 s, 4 s Counts by 6 s, 7 s, 8 s, 9 s, and 12 s

More information

Rising 3rd Grade Summer Math Packet. Add. Watch for carrying. Subtract. Watch for regrouping

Rising 3rd Grade Summer Math Packet. Add. Watch for carrying. Subtract. Watch for regrouping Rising 3rd Grade Summer Math Packet Find the sums and differences. 7 7 11 3 13 6 12 10 + 5 +7-9 + 7-9 + 7-9 - 9 Add. Watch for carrying. Subtract. Watch for regrouping. 52 578 13 78 52 528 +138 + 23-45

More information

Mathematics ( , , )

Mathematics ( , , ) Mathematics (151 160, 161-170, 171-180) 151 160 estimate (verb) When you estimate, you judge the approximate value or size on the basis of experience or observation rather than actual measurement half

More information

SOL Instruction Tracking Form Grade 3 Mathematics

SOL Instruction Tracking Form Grade 3 Mathematics SOL Instruction Tracking Form Grade 3 Mathematics Place the SOL Instruction Tracking Form after the VGLA Collection of Evidence (COE) Coversheet. Use the SOL Instruction Tracking Form to track the evidence

More information

BELLEVILLE PUBLIC SCHOOLS SUMMER MATH PACKET STUDENTS ENTERING 3 rd GRADE REQUIRED MATERIALS: Pencil Centimeter/Inch Ruler Scrap Paper

BELLEVILLE PUBLIC SCHOOLS SUMMER MATH PACKET STUDENTS ENTERING 3 rd GRADE REQUIRED MATERIALS: Pencil Centimeter/Inch Ruler Scrap Paper BELLEVILLE PUBLIC SCHOOLS SUMMER MATH PACKET STUDENTS ENTERING 3 rd GRADE 2016-2017 REQUIRED MATERIALS: Pencil Centimeter/Inch Ruler Scrap Paper SUMMER MATH PACKET 2016-2017 NAME: SCHOOL: 1.Carol is reading

More information

Triangles, Rectangles, Squares, and Circles

Triangles, Rectangles, Squares, and Circles LESSON Name 2 Teacher Notes: page 27 Triangles, Rectangles, Squares, and Circles Refer students to Circle on page 4 in the Student Reference Guide. Post Reference Chart Circle. Use the compasses from the

More information

Shapes. Practice. Family Note. Unit. show 3-sided, 4-sided, 5-sided, and 6-sided shapes. Ask an adult for permission first. Add.

Shapes. Practice. Family Note. Unit. show 3-sided, 4-sided, 5-sided, and 6-sided shapes. Ask an adult for permission first. Add. Home Link 8-1 Shapes In this lesson children examined different shapes, such as triangles, quadrilaterals, pentagons, and hexagons. They also discussed these shapes attributes or characteristics such as

More information

Pick a number from 6 to 10. Draw and color that many fl owers. Write the number of fl owers you drew.

Pick a number from 6 to 10. Draw and color that many fl owers. Write the number of fl owers you drew. 1 Computation and Mental Math Pick a Number! Pick a number from 6 to 10. Draw and color that many fl owers. Write the number of fl owers you drew. Write the name of the number of flowers you drew. 37 Use

More information

Mathematics Expectations Page 1 Grade 04

Mathematics Expectations Page 1 Grade 04 Mathematics Expectations Page 1 Problem Solving Mathematical Process Expectations 4m1 develop, select, and apply problem-solving strategies as they pose and solve problems and conduct investigations, to

More information

2nd Grade Math 2007 Standards, Benchmarks, Examples & Vocabulary

2nd Grade Math 2007 Standards, Benchmarks, Examples & Vocabulary 2nd Grade Math 2007 Stards, Benchmarks, s & Vocabulary Str Stard No. Benchmark (2nd Grade) 2.1.1.1 Read, write represent whole numbers up to 1000. Representations may include numerals, addition, subtraction,

More information

Geometry. Learning Goals U N I T

Geometry. Learning Goals U N I T U N I T Geometry Building Castles Learning Goals describe, name, and sort prisms construct prisms from their nets construct models of prisms identify, create, and sort symmetrical and non-symmetrical shapes

More information

Essentials. Week by. Week. Seeing Math. Fun with Multiplication

Essentials. Week by. Week. Seeing Math. Fun with Multiplication Week by Week MATHEMATICS Essentials Grade WEEK = 9 Fun with Multiplication JANUARY S M T W T F S 7 9 0 7 9 0 7 9 0 A rectangle of dates is boxed. Write the multiplication fact for this array. (.0a) Writing

More information

4 rows of 6 4 x 6 = rows of 4 6 x 4 = 24

4 rows of 6 4 x 6 = rows of 4 6 x 4 = 24 Arrays 8/8/16 Array a rectangular arrangement of equal rows 4 4 rows of 6 4 x 6 = 24 6 6 6 rows of 4 6 x 4 = 24 4 Dimension the number of rows and columns in an array Multiplication the operation of repeated

More information

Mathematics Materials Collections 2018 Integrated Model Spring Assessment Window

Mathematics Materials Collections 2018 Integrated Model Spring Assessment Window Mathematics Materials Collections 2018 Integrated Model Spring Assessment Window Dynamic Learning Maps (DLM ) testlets sometimes call for the use of specific materials. Materials are identified in the

More information

Coin Combinations. Crayons. 1. Mark the coins you need to buy an eraser. 2. Mark the coins you need to buy a box of crayons. $0.70.

Coin Combinations. Crayons. 1. Mark the coins you need to buy an eraser. 2. Mark the coins you need to buy a box of crayons. $0.70. HOME LINK 8 1 Coin Combinations 88 89 Family Note In the next lesson, we will extend our work with money to include dollars. In preparation for this, we have been practicing counting coins. If your child

More information

Reigate Grammar School. 11+ Entrance Examination January 2012 MATHEMATICS

Reigate Grammar School. 11+ Entrance Examination January 2012 MATHEMATICS Reigate Grammar School + Entrance Examination January 0 MATHEMATICS Time allowed: 45 minutes NAME Work through the paper carefully You do not have to finish everything Do not spend too much time on any

More information

Measurement and Data Core Guide Grade 4

Measurement and Data Core Guide Grade 4 Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit (Standards 4.MD.1 2) Standard 4.MD.1 Know relative sizes of measurement units within each system

More information

Spiral Review Created by K. Lyle 2014

Spiral Review Created by K. Lyle 2014 Spiral Review #4 Created by K. Lyle 2014 Enclosed is 9 weeks of Spiral Review that covers skills taught throughout third grade. Questions are aligned to the Virginia Standards of Learning with a focus

More information

Simple Solutions Mathematics Level 3. Level 3. Help Pages & Who Knows Drill

Simple Solutions Mathematics Level 3. Level 3. Help Pages & Who Knows Drill Level 3 & Who Knows Drill 283 Vocabulary Arithmetic Operations Difference the result or answer to a subtraction problem. Example: The difference of 5 and 1 is 4. Product the result or answer to a multiplication

More information

IMLEM Meet #5 March/April Intermediate Mathematics League of Eastern Massachusetts

IMLEM Meet #5 March/April Intermediate Mathematics League of Eastern Massachusetts IMLEM Meet #5 March/April 2013 Intermediate Mathematics League of Eastern Massachusetts Category 1 Mystery You may use a calculator. 1. Beth sold girl-scout cookies to some of her relatives and neighbors.

More information

Summer Math Packet 2018

Summer Math Packet 2018 Summer Math Packet 2018 According to the National Summer Learning Association, students lose about two months of math skills over the summer months! This is known as summer slide! Stop the slide and practice

More information

UNIT 5: RATIO, PROPORTION, AND PERCENT WEEK 20: Student Packet

UNIT 5: RATIO, PROPORTION, AND PERCENT WEEK 20: Student Packet Name Period Date UNIT 5: RATIO, PROPORTION, AND PERCENT WEEK 20: Student Packet 20.1 Solving Proportions 1 Add, subtract, multiply, and divide rational numbers. Use rates and proportions to solve problems.

More information

Common Core State Standard I Can Statements 2 nd Grade

Common Core State Standard I Can Statements 2 nd Grade CCSS Key: Operations and Algebraic Thinking (OA) Number and Operations in Base Ten (NBT) Measurement and Data (MD) Geometry (G) Common Core State Standard 2 nd Grade Common Core State Standards for Mathematics

More information

5 th Grade MATH SUMMER PACKET ANSWERS Please attach ALL work

5 th Grade MATH SUMMER PACKET ANSWERS Please attach ALL work NAME: 5 th Grade MATH SUMMER PACKET ANSWERS Please attach ALL work DATE: 1.) 26.) 51.) 76.) 2.) 27.) 52.) 77.) 3.) 28.) 53.) 78.) 4.) 29.) 54.) 79.) 5.) 30.) 55.) 80.) 6.) 31.) 56.) 81.) 7.) 32.) 57.)

More information

Essentials. Week by. Week. Investigations. Let s Write Write a story about. Seeing Math $ $ $ $ What Do You Think? Patterns, Patterns, Patterns

Essentials. Week by. Week. Investigations. Let s Write Write a story about. Seeing Math $ $ $ $ What Do You Think? Patterns, Patterns, Patterns Week by Week MATHEMATICS Essentials Grade 2 WEEK 21 Let s Write Write a story about 1 2 Seeing Math What Do You Think? Suppose you hit the target with three darts. How could you score 15? Is there more

More information

Choose the correct answer. For 1 2, use this story. In which number sentence would. you put a sign? 9 2 = = = = 12

Choose the correct answer. For 1 2, use this story. In which number sentence would. you put a sign? 9 2 = = = = 12 Choose the correct answer. For 1 2, use this story. Alicia likes to draw with gel pens. Her mother gave her 3 new gel pens. Now Alicia has 7 gel pens. Which number sentence does NOT belong to the fact

More information

California 1 st Grade Standards / Excel Math Correlation by Lesson Number

California 1 st Grade Standards / Excel Math Correlation by Lesson Number California 1 st Grade Standards / Excel Math Correlation by Lesson Lesson () L1 Using the numerals 0 to 9 Sense: L2 Selecting the correct numeral for a Sense: 2 given set of pictures Grouping and counting

More information

Second Grade Mathematics Goals

Second Grade Mathematics Goals Second Grade Mathematics Goals Operations & Algebraic Thinking 2.OA.1 within 100 to solve one- and twostep word problems involving situations of adding to, taking from, putting together, taking apart,

More information

Answer Key. Easy Peasy All-In-One-Homeschool

Answer Key. Easy Peasy All-In-One-Homeschool Answer Key Easy Peasy All-In-One-Homeschool 4 5 6 Telling Time Adding 2-Digits Fractions Subtracting 2-Digits Adding and Subtracting Money A. Draw the hands on each clock face to show the time. 12:20 6:05

More information

Essentials. Week by. Week

Essentials. Week by. Week Week by Week MATHEMATICS Essentials Grade 5 WEEK Math Trivia The ancient Greeks believed that if you studied numbers you had to be a peson who did not need to work because you would probably be a person

More information

17 9 = = = = = = = = = 12. Choose the correct answer.

17 9 = = = = = = = = = 12. Choose the correct answer. Page 1 Choose the correct answer. 1. Which shows a related addition fact? 17 9 = 8 17 + 9 = 26 9 8 = 1 8 + 9 = 17 25 8 = 17 2. There are 7 big dogs and 6 small dogs. Which number sentence shows how many

More information

Interactive Notebook. CCSS Aligned

Interactive Notebook. CCSS Aligned Interactive Notebook CCSS Aligned By: Jaime Pink Table of Contents 1. Cover 2. Table of Contents 3. Suggested Usage 4. Student Notebook Covers (color & BW) 5. Notebook Tabs 6. Strand Dividers 7. Operations

More information

COMPETENCY BASED ASSESSMENT TEST SUBJECT: MATHEMATICS TOTAL MARKS: 25. Points to Remember

COMPETENCY BASED ASSESSMENT TEST SUBJECT: MATHEMATICS TOTAL MARKS: 25. Points to Remember COMPETENCY BASED ASSESSMENT TEST SUBJECT: MATHEMATICS TOTAL MARKS: 25 CLASS: III Name: School: TIME : 1 HOUR Roll No: Section: Points to Remember 1. First write your name, roll number, section and the

More information

Incoming Advanced Grade 7

Incoming Advanced Grade 7 Name Date Incoming Advanced Grade 7 Tell whether the two fractions form a proportion. 1. 3 16, 4 20 2. 5 30, 7 42 3. 4 6, 18 27 4. Use the ratio table to find the unit rate in dollars per ounce. Order

More information

BREATHITT COUNTY SCHOOLS 3 rd Grade Math Curriculum Map Week Standard Key Vocabulary Learning Target Resources Assessment

BREATHITT COUNTY SCHOOLS 3 rd Grade Math Curriculum Map Week Standard Key Vocabulary Learning Target Resources Assessment Number Operations/Fractions/Algebraic Expressions Week 1 Week 2 3.NBT.1: Use place value understanding to round whole numbers to the nearest 10 or 100. 3.NBT.2: Fluently add and subtract within 1000 using

More information

Kenmore-Town of Tonawanda UFSD. We educate, prepare, and inspire all students to achieve their highest potential

Kenmore-Town of Tonawanda UFSD. We educate, prepare, and inspire all students to achieve their highest potential Kenmore-Town of Tonawanda UFSD We educate, prepare, and inspire all students to achieve their highest potential Grade 2 Module 8 Parent Handbook The materials contained within this packet have been taken

More information

Number Line: Comparing and Ordering Integers (page 6)

Number Line: Comparing and Ordering Integers (page 6) LESSON Name 1 Number Line: Comparing and Ordering Integers (page 6) A number line shows numbers in order from least to greatest. The number line has zero at the center. Numbers to the right of zero are

More information

Mathematics Materials Collections 2018 Year-End Model Spring Assessment Window

Mathematics Materials Collections 2018 Year-End Model Spring Assessment Window Mathematics Materials Collections 2018 Year-End Model Spring Assessment Window Dynamic Learning Maps (DLM ) testlets sometimes call for the use of specific materials. Materials are identified in the Testlet

More information

Student Answer Document STAAR Practice Test, Form A

Student Answer Document STAAR Practice Test, Form A Student Answer Document STAAR Practice Test, Form A Sample A 3 3 Sample B Use grid BELOW. 4 37 Item 3 Use grid BELOW. 5 3 Item 39 4 Use grid BELOW. 40 5 7 4 3 4 4 7 9 43 5 30 44 9 3 45 7 0 3 4 Item 33

More information

THE ENGLISH SCHOOL ENTRANCE EXAMINATIONS Time allowed: 1 hour and 30 minutes

THE ENGLISH SCHOOL ENTRANCE EXAMINATIONS Time allowed: 1 hour and 30 minutes THE ENGLISH SCHOOL ENTRANCE EXAMINATIONS 2014 MATHEMATICS FIRST FORM Time allowed: 1 hour and 30 minutes Answer ALL questions. Show all necessary working on the question paper in the spaces provided and

More information

Dear Parents,

Dear Parents, Dear Parents, This packet of math activities was created to help your child engage with and become excited about Math over the summer months. All projects in this packet are based upon the Connecticut

More information

Test Booklet. Subject: MA, Grade: 07 TAKS Grade 7 Math Student name:

Test Booklet. Subject: MA, Grade: 07 TAKS Grade 7 Math Student name: Test Booklet Subject: MA, Grade: 07 Student name: Author: Texas District: Texas Released Tests Printed: Friday March 02, 2012 1 The top, front, and side views of a 3-dimensional figure built with identical

More information

COMMON CORE STATE STANDARDS FOR MATHEMATICS K-2 DOMAIN PROGRESSIONS

COMMON CORE STATE STANDARDS FOR MATHEMATICS K-2 DOMAIN PROGRESSIONS COMMON CORE STATE STANDARDS FOR MATHEMATICS K-2 DOMAIN PROGRESSIONS Compiled by Dewey Gottlieb, Hawaii Department of Education June 2010 Domain: Counting and Cardinality Know number names and the count

More information

Cheetah Math Superstars

Cheetah Math Superstars PARENTS: You may read the problem to your child and demonstrate a similar problem, but he/she should work the problems. Please encourage independent thinking and problem solving skills. SCORING: 20 paw

More information

2018 TAME Middle School Practice State Mathematics Test

2018 TAME Middle School Practice State Mathematics Test 2018 TAME Middle School Practice State Mathematics Test (1) Noah bowled five games. He predicts the score of the next game he bowls will be 120. Which list most likely shows the scores of Kent s first

More information

4th Grade Common Core Math Vocabulary

4th Grade Common Core Math Vocabulary + = + = + = + = + 4th Grade Common Core Math Vocabulary Created by Alexis Sergi Alexis Sergi http://www.teachersnotebook.com/shop/mathmojo = + = + + = + = + 1 Table of Contents!!!!!!!!!!!! Page Number

More information

Grade 6 Test pool

Grade 6 Test pool Grade 6 Test 2005. On the map shown below, the intervals all represent the same distanc The mall is 2 miles from Tina s hom How far is the pool from Tina s home? Tina s home 2 miles mall pool 2 miles 2

More information

B 2 3 = 4 B 2 = 7 B = 14

B 2 3 = 4 B 2 = 7 B = 14 Bridget bought a bag of apples at the grocery store. She gave half of the apples to Ann. Then she gave Cassie 3 apples, keeping 4 apples for herself. How many apples did Bridget buy? (A) 3 (B) 4 (C) 7

More information

Seventh Grade Middle School Mathematics Contest

Seventh Grade Middle School Mathematics Contest Seventh Grade Middle School Mathematics Contest 2002. Which of the following must be true about an obtuse triangle? a. All its interior angles are obtuse. b. It has two acute angles. c. It has exactly

More information

3 rd Grade Summer Mathematics Review #1. Name: 1. Find the missing factor. 2. Write the three numbers that belong to this fact family.

3 rd Grade Summer Mathematics Review #1. Name: 1. Find the missing factor. 2. Write the three numbers that belong to this fact family. 1. Find the missing factor. 3 rd Grade Summer Mathematics Review #1 2. Write the three numbers that belong to this fact family. X 2 = 3 x 4 6 + 3 = 9 3 + 6 = 9 9-3 = 6 9-6 = 3 3. The figure below is an.

More information

Common Core State Standards for Mathematics

Common Core State Standards for Mathematics A Correlation of To the Common Core State Standards for Mathematics Table of Contents Operations and Algebraic Thinking... 1 Number and Operations in Base Ten... 2 Measurement and Data... 4 Geometry...

More information

Math Grade 2. Understand that three non-zero digits of a 3-digit number represent amounts of hundreds, tens and ones.

Math Grade 2. Understand that three non-zero digits of a 3-digit number represent amounts of hundreds, tens and ones. Number Sense Place value Counting Skip counting Other names for numbers Comparing numbers Using properties or place value to add and subtract Standards to be addressed in Number Sense Standard Topic Term

More information

H A R C O U R T S C H O O L P U B L I S H E R S Spiral Review Book

H A R C O U R T S C H O O L P U B L I S H E R S Spiral Review Book Book Book Developed by Education Development Center, Inc. through National Science Foundation Grant No. ESI-0099093 Published and distributed by: www.math.schoolspecialty.com Copyright by Education Development

More information

Saxon Math Grade 1. GPS Pacing Guide

Saxon Math Grade 1. GPS Pacing Guide Saxon Math Grade 1 GPS Pacing Guide GRADE 1 Differentiate Instruction with the Saxon GPS Pacing Guide Taking Students from Where They Are to Where They Need to Be Saxon Math was customized to cover all

More information

Grade 3 NAPLAN preparation pack:

Grade 3 NAPLAN preparation pack: Grade 3 NAPLAN preparation pack: Below is a guide with example questions to use with students preparing for NAPLAN for three weeks prior to the test. By this stage students are expected to have spent a

More information

1. If x = 2n + 1, what is the value of x when n = 10? A) 11 B) 13 C) 20 D) 21 E) 211 2. Which of the following types of graph would be best to show the change in temperature recorded in a city every 15

More information

Use Inchworms. Measure each item. inches. inches. Find each item. Estimate the length. Use Inchworms to measure the length. 4.

Use Inchworms. Measure each item. inches. inches. Find each item. Estimate the length. Use Inchworms to measure the length. 4. Lesson 1 Measurement and Data Use Inchworms. Measure each item. 1. inches 2. Find each item. Estimate the length. Use Inchworms to measure the length. inches 3. one side of a book Estimate: inches Actual:

More information

2017 Object Exchange List Geometry

2017 Object Exchange List Geometry 07 Object Exchange List Geometry All accommodations/adjustments used during the administration of the Florida Standards Alternate Assessment (FSAA) must align with what the student uses during daily instruction.

More information

7. Three friends each order a large

7. Three friends each order a large 005 MATHCOUNTS CHAPTER SPRINT ROUND. We are given the following chart: Cape Bangkok Honolulu London Town Bangkok 6300 6609 5944 Cape 6300,535 5989 Town Honolulu 6609,535 740 London 5944 5989 740 To find

More information

MCAS/DCCAS Mathematics Correlation Chart Grade 4

MCAS/DCCAS Mathematics Correlation Chart Grade 4 MCAS/DCCAS Mathematics Correlation Chart Grade 4 MCAS Finish Line Mathematics Grade 4 MCAS Standard DCCAS Standard DCCAS Standard Description Unit 1: Number Sense Lesson 1: Whole Number Place Value Lesson

More information

First Grade Saxon Math Curriculum Guide Key Standards Addressed in Section

First Grade Saxon Math Curriculum Guide Key Standards Addressed in Section Sections and Lessons First Grade Saxon Math Curriculum Guide MAP September 15 26, 2014 Section 1: Lessons 1-10 Making Sets of Tens & Ones with Concrete Objects, Numerals, Comparing Numbers, Using Graphs

More information

VGLA COE Organizer Mathematics 4

VGLA COE Organizer Mathematics 4 4.1 The Student will identify the place value for each digit in a whole number expressed through millions a) orally and in writing; b) compare two whole numbers expressed through millions, using symbols

More information

3Grade. Interactive Notebooks. Ideal for organizing information and applying learning. Perfect for addressing the needs of individual learners

3Grade. Interactive Notebooks. Ideal for organizing information and applying learning. Perfect for addressing the needs of individual learners CD-104648 Interactive Notebooks 3Grade Ideal for organizing information and applying learning Perfect for addressing the needs of individual learners Includes step-by-step instructions for each page Great

More information

Vocabulary Cards and Word Walls

Vocabulary Cards and Word Walls Vocabulary Cards and Word Walls Revised: June 29, 2011 Important Notes for Teachers: The vocabulary cards in this file match the Common Core, the math curriculum adopted by the Utah State Board of Education,

More information

Mathematics Materials Collections Spring 2017

Mathematics Materials Collections Spring 2017 Mathematics Materials Collections Spring 2017 Dynamic Learning Maps (DLM ) testlets sometimes call for the use of specific materials. Materials are identified in the Testlet Information Page (TIP) for

More information

GRADE 4. M : Solve division problems without remainders. M : Recall basic addition, subtraction, and multiplication facts.

GRADE 4. M : Solve division problems without remainders. M : Recall basic addition, subtraction, and multiplication facts. GRADE 4 Students will: Operations and Algebraic Thinking Use the four operations with whole numbers to solve problems. 1. Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 7 as

More information

Kansas City Area Teachers of Mathematics 2011 KCATM Contest

Kansas City Area Teachers of Mathematics 2011 KCATM Contest Kansas City Area Teachers of Mathematics 2011 KCATM Contest GEOMETRY AND MEASUREMENT TEST GRADE 4 INSTRUCTIONS Do not open this booklet until instructed to do so. Time limit: 15 minutes You may use calculators

More information

Grade 3: Step Up to Grade 4 Teacher s Guide

Grade 3: Step Up to Grade 4 Teacher s Guide Glenview, Illinois Boston, Massachusetts Chandler, Arizona Shoreview, Minnesota Upper Saddle River, New Jersey Copyright by Pearson Education, Inc., or its affiliates. All rights reserved. Printed in the

More information

4 th Grade Curriculum Map

4 th Grade Curriculum Map 4 th Grade Curriculum Map 2017-18 MONTH UNIT/ CONTENT CORE GOALS/SKILLS STANDARDS WRITTEN ASSESSMENTS ROUTINES RESOURCES VOCABULARY September Chapter 1 8 days NUMBERS AND OPERATIONS IN BASE TEN WORKING

More information

Weekly Math Magic- Set 1

Weekly Math Magic- Set 1 Weekly Math Magic- Set 1 Weekly Math Magic consists of nine weeks of mathematics printables designed to introduce, practice and review essential skills. Each week is presented in the exact same format

More information

Grade 2: Mathematics Curriculum (2010 Common Core) Warren Hills Cluster (K 8)

Grade 2: Mathematics Curriculum (2010 Common Core) Warren Hills Cluster (K 8) Focus Topic:OA Operations and Algebraic Thinking TSW = The Student Will TSW use addition and subtraction within 100 to solve one- and two-step word problems involving situations of adding to, taking from,

More information

UNIT 6: CONJECTURE AND JUSTIFICATION WEEK 24: Student Packet

UNIT 6: CONJECTURE AND JUSTIFICATION WEEK 24: Student Packet Name Period Date UNIT 6: CONJECTURE AND JUSTIFICATION WEEK 24: Student Packet 24.1 The Pythagorean Theorem Explore the Pythagorean theorem numerically, algebraically, and geometrically. Understand a proof

More information