Estimating Square Roots
|
|
- Bethanie Lindsey
- 5 years ago
- Views:
Transcription
1 Practice A Estimating Square Roots Each square root is between two consecutive integers. Name the integers. Explain your answer _ _ _ Approximate each square root to the nearest hundredth Use a calculator to find each value. Round to the nearest tenth
2 Practice B Estimating Square Roots Each square root is between two consecutive integers. Name the integers. Explain your answer _ _ The area of a square piece of cardboard is 70 cm². What is the approximate length of each side of the cardboard? Approximate each square root to the nearest hundredth Use a calculator to find each value. Round to the nearest tenth
3 Practice C Estimating Square Roots Each square root is between two consecutive integers. Name the integers. Explain your answer _ _ Use a calculator to find each value. Round to the nearest tenth. Use the indicated letter to graph each point on the number line. 5. A: B: C: D: 0.09 Use guess and check to estimate each square root to the nearest hundredth Find each product to the nearest hundredth ( 16 ) ( 98 ) ( 217 ) 21. If the distance in feet traveled by a falling object is determined by the formula d = 16t 2, in which t is the time in seconds, find the distance a falling object traveled in 22 sec. 22. If the distance traveled by the falling object was 3600 ft, how many seconds did it take to fall?
4 Review for Mastery Estimating Square Roots To locate a square root between two consecutive integers, refer to the table. Number Square Number Square Locate 260 between two integers. 260 is between the perfect squares 256 and 289: 256 < 260 < 289 So: 256 < 260 < 289 And: 16 < 260 < 17 Use the table to complete the statements. 1. < 39 < 2. < 130 < < 39 < < 130 < < 39 < < 130 < After locating a square root between two consecutive integers, you can determine which of the two integers the square root is closer to. 27 is between the perfect squares 25 and 36: 25 < 27 < 36 So: 25 < 27 < 36 And: 5 < 27 < 6 The difference between 27 and 25 is 2; the difference between 36 and 27 is < 27 < 36 So, 27, is closer to Complete the statements < 106 < < 250 < < 106 < < 250 < < 106 < < 250 < = 250 = = 250 = 106 is closer to than 250 is closer to than
5 Challenge Dig Deeper! The digital root of a number is found by adding its digits, adding the digits of the result, and so on, until the result is a single digit = = 9 The digital root of 918 is Complete the table to display numbers and their digital roots and to determine if they are divisible by 3 (remainder = 0). Make an observation about the results. Divisible Digital Root Divisible Number by 3? Calculation by 3? 81 = 92 = 226 = 315 = 659 no = = 2 no 704 = 1064 = 2. Complete the table to display the products of numbers and the products of their digital roots. Make an observation about the results. Product Digital Root of Factor Digital Root of Factor Product of Digital Roots of Factors Digital Root of Product = = = = = = = = = = = =
6 Problem Solving Estimating Square Roots The distance to the horizon can be found using the formula d = h where d is the distance in kilometers and h is the number of kilometers from the ground. Round your answer to the nearest kilometer. 1. How far is it to the horizon when you are standing on the top of Mt. Everest, a height of 8.85 km? 2. Find the distance to the horizon from the top of Mt. McKinley, Alaska, a height of km. 3. How far is it to the horizon if you are standing on the ground and your eyes are 2 m above the ground? _ 4. Mauna Kea is an extinct volcano on Hawaii that is about 4 km tall. You should be able to see the top of Mauna Kea when you are how far away? _ You can find the approximate speed of a vehicle that leaves skid marks before it stops. The formulas S = L and S = L, where S is the speed in miles per hour and L is the length of the skid marks in feet, will give the minimum and maximum speeds that the vehicle was traveling before the brakes were applied. Round to the nearest mile per hour. 5. A vehicle leaves a skid mark of 40 feet before stopping. What was the approximate speed of the vehicle before it stopped? A mi/h C mi/h B mi/h D mi/h 7. A vehicle leaves a skid mark of 150 feet before stopping. What was the approximate speed of the vehicle before it stopped? A mi/h C mi/h B mi/h D mi/h 6. A vehicle leaves a skid mark of 100 feet before stopping. What was the approximate speed of the vehicle before it stopped? F mi/h H mi/h G mi/h J mi/h 8. A vehicle leaves a skid mark of 200 feet before stopping. What was the approximate speed of the vehicle before it stopped? F mi/h H mi/h G mi/h J mi/h
7 Reading Strategies Follow a Procedure The numbers 16 and 25 are called perfect squares. Each has an integer as its square root. To find the square root of a perfect square, ask yourself what number multiplied by itself equals the perfect square. Some Perfect Squares What number times itself equals 16? 2. What is the square root of 16? 3. What number times itself equals 25? 4. What is the square root of 25? Use these steps to estimate the square root of a number that is not a perfect square. What is 45? Step 1 Identify a perfect square that is a little more than The square root of 49 = 7. Step 2 Identify a perfect square that is a little less than The square root of 36 = 6. Step 3 The estimate of 45 is between 6 and 7. Use the steps above to help you estimate the square root of Which perfect square is a little more than 90? 6. What is the square root of 100? 7. Which perfect square is a little less than 90? 8. What is the square root of 81? 9. What is your estimate of the square root of 90?
8 Puzzles, Twisters & Teasers The Root of the Problem! Find the square roots. Use the answers to solve the riddle. S 36 = R 144 = P 100 = T 64 = G 25 = I 9 = W 4 = H 169 = E 81 = U 49 = L 121 = Why can t you play jokes on snakes? Because you can t
9 Answers LESSON 4-6 Practice A 1. 3 and 4; 10 is between 9 and and 3; 8 is between 4 and and 5; 19 is between 16 and and 6; 33 is between 25 and and 4; 15 is between 9 and and 7; 39 is between 36 and Practice B 1. 2 and 3; 6 is between 4 and and 5; 20 is between 16 and and 6; 28 is between 25 and and 7; 44 is between 36 and and 6; 31 is between 25 and and 8; 52 is between 49 and CODE Practice C 1. 8 and 9; 75 is between 64 and and 11; 104 is between 100 and and 14; 180 is between 169 and and 16; 230 is between 225 and ft sec Review for Mastery 1. 36; ; ; ; 144 6; 7 11; ; ; ; ; ; ; 25 10; ; 6 16; 15 Challenge
10 1. A number is divisible by 3 if its digital root is divisible by 3. Div. by 3 Calculation Root Div. by 3 yes yes no = 11 2 no no = no yes yes no = no 1 no = no 2. The digital root of a product of whole numbers equals the product of the digital roots of the factors. Product Digital Root of Factor Digital Root of Factor = = = = = = = = 9 19, = = 9 Problem Solving km km 3. 5 km 4. at most 226 km 5. C 6. F 7. D 8. G Reading Strategies between 9 and 10 Puzzles, Twisters & Teasers S. 6 R. 12 P. 10 T. 8 G. 5 I. 3 W. 2 H. 13 E. 9 U. 7 L. 11 P U L L T H E I R L E G S Product of Digital Roots of Factors 2 8 = = = = = = = = = = 9 Digital Root of Product = = = = = = = = = = 9
Name Date Class. Write in exponential form
Name Date Class Chapter 8 Practice 8-1 Exponents Write in exponential form. 1. 6 6 6 6 6 6 2. 7 7 7 7 3. ( 8) ( 8) ( 8) ( 8) 4. 5 5 5 b b b b Simplify. 5. 10 2 6. ( 6) 2 7. 8 2 8. ( 7) 2 9. ( 5) 3 10.
More informationSlope-Intercept Form. Find the x- and y-intercepts. 1. y 3x 6 2. y 2x 8. Graph each equation. 3. y 1 x 3 4. y 5x 5 5. y x 4
Practice A Slope-Intercept Form Find the x- and y-intercepts. 1. y 3x 6. y x 8 _ Graph each equation. 3. y 1 x 3 4. y 5x 5 5. y x 4 Write the equation of the line in slope-intercept form. 6. 7. _ Practice
More informationVariables and Algebraic Expressions
Practice A Find the value of n 3 for each value of n. 1. n 4 2. n 7 3. n 0 4. n 32 Find the value of x 9 for each value of x. 5. x 12 6. x 57 7. x 19 8. x 100 Find the value of each expression using the
More informationEstimating with Square Roots
ACTIVITY 3.2 Estimating with Square Roots The square root of most numbers is not an integer. You can estimate the square root of a number that is not a perfect square. Begin by determining the two perfect
More informationPerimeter and Area of Rectangles and Parallelograms
Practice A Perimeter and Area of Rectangles and Parallelograms Find the perimeter of each figure. 1. 2. 3. Graph and find the area of each figure with the given vertices. 4. ( 3, 1), (2, 1), (2, 3), (
More informationScale Drawings and Scale Models
7040 Practice A Scale Drawings and Scale Models Identify the scale factor. Choose the best answer.. Person: 72 inches Action figure: 6 inches A B 7 0 3. Fish: 6 inches Fishing lure: 2 inches A B 6 8 Identify
More informationFoundations of Math 11: Unit 2 Proportions. The scale factor can be written as a ratio, fraction, decimal, or percentage
Lesson 2.3 Scale Name: Definitions 1) Scale: 2) Scale Factor: The scale factor can be written as a ratio, fraction, decimal, or percentage Formula: Formula: Example #1: A small electronic part measures
More informationNumerical Roots and Radicals
Numerical Roots and Radicals Table of Contents Squares, Square Roots & Perfect Squares Square Roots of Numbers Greater than 400 Estimating Square Roots click on topic to go to that section 1 Squares, Square
More informationComparing and Ordering Integers
Practice A Comparing and Ordering Integers Use the number line to compare each pair of integers. Write < or >. 1. 4 3 2. 1 3 3. 2 5 4. 2 2 5. 5 1 6. 0 4 Use the number lines to order the integers from
More informationEstimating with Decimals
Name Date Class Practice A Estimating with Decimals Round to the nearest whole number. 1. 4.23 2. 1.91 3. 10.75 4. 5.88 5. 12.07 6. 18.70 Estimate by rounding. 7. 8.4 15.9 8. 3.45 5.34 9. 9.36 7.542 10.
More informationStudents apply the Pythagorean Theorem to real world and mathematical problems in two dimensions.
Student Outcomes Students apply the Pythagorean Theorem to real world and mathematical problems in two dimensions. Lesson Notes It is recommended that students have access to a calculator as they work
More informationPART I: NO CALCULATOR (115 points)
Prealgebra Practice Midterm Math 40 OER (Ch. 1-4) PART I: NO CALCULATOR (115 points) (1.) 1. Find the difference. a) 578 80 480 b) 10 165 51 (1.). Multiply the given numbers. 684 9. Divide the given numbers.
More informationLesson 6.1 Skills Practice
Lesson 6.1 Skills Practice Name Date Soon You Will Determine the Right Triangle Connection The Pythagorean Theorem Vocabulary Match each definition to its corresponding term. 1. A mathematical statement
More informationLesson 1 Area of Parallelograms
NAME DATE PERIOD Lesson 1 Area of Parallelograms Words Formula The area A of a parallelogram is the product of any b and its h. Model Step 1: Write the Step 2: Replace letters with information from picture
More informationPre-Algebra Unit 1: Number Sense Unit 1 Review Packet
Pre-Algebra Unit 1: Number Sense Unit 1 Review Packet Target 1: Writing Repeating Decimals in Rational Form Remember the goal is to get rid of the repeating decimal so we can write the number in rational
More informationSHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Math 1316 Ch.1-2 Review Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. 1) Find the supplement of an angle whose
More informationRatios and Proportions pp
LESSON 7-1 Ratios and Proportions pp. 342 343 Vocabulary ratio (p. 342) equivalent ratios (p. 342) proportion (p. 343) Additional Examples Example 1 Find two ratios that are equivalent to each given ratio.
More informationA natural number is called a perfect cube if it is the cube of some. some natural number.
A natural number is called a perfect square if it is the square of some natural number. i.e., if m = n 2, then m is a perfect square where m and n are natural numbers. A natural number is called a perfect
More information5-7 Scale Drawings and Scale Models
5-7 Scale Drawings and Scale Models Learn to understand ratios and proportions in scale drawings. Learn to use ratios and proportions with scale. 5-7 Scale Insert Drawings Lesson Title and Here Scale Models
More informationLearning Log Title: CHAPTER 1: INTRODUCTION AND REPRESENTATION. Date: Lesson: Chapter 1: Introduction and Representation
CHAPTER 1: INTRODUCTION AND REPRESENTATION Date: Lesson: Learning Log Title: Toolkit 2013 CPM Educational Program. All rights reserved. 1 Date: Lesson: Learning Log Title: Toolkit 2013 CPM Educational
More informationMinute 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 informationMATHLETICS 8 TH GRADE 2015
MATHLETICS 8 TH GRADE 2015 Team # School: Name: Grade: Name: Grade: Name: Grade: Question #1 2 minutes, 2 points Note to GRADERS: Please keep this front page. Problem 1 2 points 2 minutes When celebrating
More information2-6 Rates, Ratios, and Proportions. Warm Up. Solve each equation. Check your answer. 1. 6x = m = y =18.4 Multiply
Warm Up Solve each equation. Check your answer. 1. 6x = 36 2. 3. 5m = 18 4. 5. 8y =18.4 Multiply. 6. 7. Learning Goals 1. Students will identify important information from an application problem and use
More informationGA Benchmark 8th Math (2008GABench8thMathset1)
Name: Date: 1. Tess will toss a fair coin 3 times. The possible results are illustrated in the tree diagram below. Based on the information given in the tree diagram, in how many ways (outcomes) can Tess
More informationUnit 2: Exponents. 8 th Grade Math 8A - Mrs. Trinquero 8B - Dr. Taylor 8C - Mrs. Benefield
Unit 2: Exponents 8 th Grade Math 8A - Mrs. Trinquero 8B - Dr. Taylor 8C - Mrs. Benefield 1 8 th Grade Math Unit 2: Exponents Standards and Elements Targeted in the Unit: NS 1 Know that numbers that are
More information+ 4 ~ You divided 24 by 6 which equals x = 41. 5th Grade Math Notes. **Hint: Zero can NEVER be a denominator.**
Basic Fraction numerator - (the # of pieces shaded or unshaded) denominator - (the total number of pieces) 5th Grade Math Notes Mixed Numbers and Improper Fractions When converting a mixed number into
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Draw the given angle in standard position. Draw an arrow representing the correct amount of rotation.
More informationSquares and Square Roots Algebra 11.1
Squares and Square Roots Algebra 11.1 To square a number, multiply the number by itself. Practice: Solve. 1. 1. 0.6. (9) 4. 10 11 Squares and Square Roots are Inverse Operations. If =y then is a square
More informationGrade 8 The Pythagorean Theorem
THE NEWARK PUBLIC SCHOOLS THE OFFICE OF MATHEMATICS Grade 8 The Pythagorean Theorem 8.G.6-8 Student Pages Grade 8 - Lesson 1 Introductory Task Introductory Task Prerequisite Competencies 8.EE.2 Use square
More informationSummer 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 informationUsing Slopes and Intercepts
CODE Name Date Teacher Practice A Using Slopes and Intercepts 1. Name the ordered pair if the x-intercept is 2. 2. Name the ordered pair if the y-intercept is 8. 3. In the ordered pair (9, 0), what is
More informationCovering and Surrounding Practice Answers
Investigation Additional Practice. a. units, Area 8 square units b. 8 units, Area 33 square units c. 3 units, Area 33 square units d. units, 7 Area 7 square units 8. a. Students should draw and label a
More information4-7 Point-Slope Form. Warm Up Lesson Presentation Lesson Quiz
Warm Up Lesson Presentation Lesson Quiz Holt Algebra McDougal 1 Algebra 1 Warm Up Find the slope of the line containing each pair of points. 1. (0, 2) and (3, 4) 2. ( 2, 8) and (4, 2) 1 3. (3, 3) and (12,
More informationThe rectangle above has been divided into squares. Assume that the length of each side of a small square is 1 cm.
Powers and Roots SUGGESTED LEARNING STRATEGIES: Activating Prior Knowledge, Think/Pair/Share, Quickwrite, Group Presentation, Visualize, Create Representations Dominique Wilkins Middle School is holding
More information2.8 Estimating Square Roots
2.8 Estimating Square Roots YOU WILL NEED a calculator GOAL Use perfect square benchmarks to estimate square roots of other fractions and decimals. INVESTIGATE the Math Bay is preparing for the Egg Drop
More informationGRADE 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 informationWednesday, May 4, Proportions
Proportions Proportions Proportions What are proportions? Proportions What are proportions? - If two ratios are equal, they form a proportion. Proportions can be used in geometry when working with similar
More informationPre-Test Unit 7: Real Numbers KEY
Pre-Test Unit 7: Real Numbers KEY No calculator necessary. Please do not use a calculator. Convert the following fraction to a decimal or decimal to a fraction. (5 pts; 3 pts for correct set-up/work, 2
More informationUnit 9 Notes: Proportions. A proportion is an equation stating that two ratios (fractions) are equal.
Name: Block: Date: MATH 6/7 NOTES & PRACTICE Unit 9 Notes: Proportions A proportion is an equation stating that two ratios (fractions) are equal. If the cross products are equivalent, the two ratios form
More informationACCELERATED MATHEMATICS CHAPTER 14 PYTHAGOREAN THEOREM TOPICS COVERED: Simplifying Radicals Pythagorean Theorem Distance formula
ACCELERATED MATHEMATICS CHAPTER 14 PYTHAGOREAN THEOREM TOPICS COVERED: Simplifying Radicals Pythagorean Theorem Distance formula Activity 14-1: Simplifying Radicals In this chapter, radicals are going
More informationSingapore Math 4-U.S. Edition Class Description: Singapore math says that Singapore Primary Mathematics U.S. Edition "is a series of rigorous
Singapore Math 4-U.S. Edition Class Description: Singapore math says that Singapore Primary Mathematics U.S. Edition "is a series of rigorous elementary math textbooks and workbooks meant to be part of
More informationReview Test 1. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Review Test 1 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Convert the angle to a decimal in degrees. Round the answer to two decimal places. 1)
More informationThe Real Number System and Pythagorean Theorem Unit 9 Part B
The Real Number System and Pythagorean Theorem Unit 9 Part B Standards: 8.NS.1 Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion;
More informationBELLWORK Vocabulary 4-5 MB pg. 182 CLICKERS!!
BELLWORK Vocabulary 4-5 MB pg. 182 CLICKERS!! square root principal square root perfect square October 02, 2012 Today's Agenda: 1. Bell Work: Vocabulary Ch. 4-5 2. Assignment Sheet 3. HW: 4-4 Practice
More informationGrade 8. The Pythagorean Theorem 8.G COMMON CORE STATE STANDARDS ALIGNED MODULES
THE NEWARK PUBLIC SCHOOLS THE OFFICE OF MATHEMATICS Grade 8 The Pythagorean Theorem 8.G.6-8 2012 COMMON CORE STATE STANDARDS ALIGNED MODULES NEWARK PUBLIC SCHOOLS Office of Mathematics Math Tasks 8.G.6-8
More information5 th Grade Powers of 10. Part I. What are powers of 10?
5 th Grade Powers of 10 Part I. What are powers of 10? 1 1 1 1 1, 10, 100, 1000, 10000, etc. are all powers of 10. The fractions,,,, etc. are 10 100 1000 10000 also considered powers of 10. In decimal
More informationGrade 7, Unit 1 Practice Problems - Open Up Resources
Grade 7, Unit 1 Practice Problems - Open Up Resources Scale Drawings Lesson 1 Here is a gure that looks like the letter A, along with several other gures. Which gures are scaled copies of the original
More informationRepresenting Square Numbers. Use materials to represent square numbers. A. Calculate the number of counters in this square array.
1.1 Student book page 4 Representing Square Numbers You will need counters a calculator Use materials to represent square numbers. A. Calculate the number of counters in this square array. 5 5 25 number
More informationSection 2.1 Extra Practice
Section. Extra Practice. BLM 5.. Identify the rational numbers. a) 7 5 0.606 8 b) 0. 9. 0 0 7.. Write the opposite of each rational number. a) 9 b) c) 7.6 d) 6. e) 0 f) 7 5 7. Match each letter on the
More informationAREA See the Math Notes box in Lesson for more information about area.
AREA..1.. After measuring various angles, students look at measurement in more familiar situations, those of length and area on a flat surface. Students develop methods and formulas for calculating the
More information7.G.1 Scale Drawings and Scale Models Created By: Melissa Forsyth
Bell Ringers 1. 15% of 45 2. 30 is what percent of 75 3. 10 is 20% of what number 4. What is the percent increase from 10 to 15. 5. What is the percent decrease from 30 to 24 7.G.1 Scale Drawings and Scale
More information8 th Grade Test A. Picture 4 B. Picture 5 C. Picture 6 D. Picture 7 E. Picture 8
1. The pattern below shows a geometric sequence. Picture 1 has 1 big square. Picture 2 has 4 squares. Picture 3 has 16 squares. What is the first picture that will have 256 squares? A. Picture 4 B. Picture
More informationChapter 8 Practice Test
Chapter 8 Practice Test Multiple Choice Identify the choice that best completes the statement or answers the question. 1. In triangle ABC, is a right angle and 45. Find BC. If you answer is not an integer,
More informationSquare Roots of Perfect Squares. How to change a decimal to a fraction (review)
Section 1.1 Square Roots of Perfect Squares How to change a decimal to a fraction (review) A) 0.6 The 6 is in the first decimal position called the tenths place. Therefore, B) 0.08 The 8 is in the second
More informationSummer Math Learning Packet
Summer Math Learning Packet Sixth grade math was a blast, The year just went by so fast! Let s keep everything fresh in your mind, So you can rely on it in a bind. Just complete two problems a day, And
More informationMath 65A Elementary Algebra A Exam II STUDY GUIDE and REVIEW Chapter 2, Sections 3 5, and Chapter 3, Sections 1-3
Exam II STUDY GUIDE and REVIEW Chapter 2, Sections 5, and Chapter, Sections 1 - Exam II will be given on Thursday, April 10. You will have the entire class time for the exam. It will cover Chapter 2, Sections
More information4. The frequency table shows the ages of the students on the middle school crew team. Complete the histogram for the data.
Page 1 1. Divide. Show your work. 7 5 = 2. Ashley evaluates the expression 4 ( + 6) 2 and gets 156. Is Ashley correct? Explain your answer.. Determine whether each ratio is equivalent to 1_, 5 10, or _
More informationExtra Practice 1. Name Date. Lesson 1: Numbers in the Media. 1. Rewrite each number in standard form. a) 3.6 million b) 6 billion c)
Master 4.27 Extra Practice 1 Lesson 1: Numbers in the Media 1. Rewrite each number in standard form. 3 a) 3.6 million b) 6 billion c) 1 million 4 2 1 d) 2 billion e) 4.25 million f) 1.4 billion 10 2. Use
More informationPerimeter, Circumference, Area and Ratio Long-Term Memory Review Grade 6 Review 1
Review 1 1. Which procedure is used to find the perimeter of any polygon? A) Add all the lengths B) Multiply length times width (l w) C) Add only one length and one width D) Multiply all of the lengths.
More informationFrequency Tables, Stem-and-Leaf Plots, and Line Plots
Practice A Tables, Stem-and-Leaf Plots, and Line Plots The table shows normal monthly temperatures for Tampa, Florida, for each month of the year. Month Normal Monthly Temperatures in Tampa Month January
More informationALGEBRA CONCEPTS UNIT 1 THE NUMBER SYSTEM Student Workbook
ALGEBRA CONCEPTS UNIT 1 THE NUMBER SYSTEM Student Workbook 1.1 Rational Numbers 1.2 Powers and Exponents 1.3 Multiply and Divide Monomials 1.4 Powers of Monomials 1.5 Negative Exponents 1.6 Scientific
More informationExtra Practice 1. Name Date. Lesson 1: Numbers in the Media. 1. Rewrite each number in standard form. a) 3.6 million
Master 4.27 Extra Practice 1 Lesson 1: Numbers in the Media 1. Rewrite each number in standard form. a) 3.6 million 3 b) 6 billion 4 c) 1 million 2 1 d) 2 billion 10 e) 4.25 million f) 1.4 billion 2. Use
More information4 th Grade Mathematics Learning Targets By Unit
INSTRUCTIONAL UNIT UNIT 1: WORKING WITH WHOLE NUMBERS UNIT 2: ESTIMATION AND NUMBER THEORY PSSA ELIGIBLE CONTENT M04.A-T.1.1.1 Demonstrate an understanding that in a multi-digit whole number (through 1,000,000),
More informationCN#5 Objectives. Vocabulary 5/3/ Using Proportional Relationships
Warm Up #1 Convert each measurement. 1. 6 ft 3 in. to inches 2. 5 m 38 cm to centimeters Find the perimeter and area of each polygon. 3. square with side length 13 cm P = 52 cm, A =169 cm 2 4. rectangle
More informationPraxis I: Pre-Professional Skills Test (PPST) - Math Test
Praxis I: Pre-Professional Skills Test (PPST) - Math Test Praxis I Math Tips Time 60 minutes 40 Questions 1. A boy has a spinner labeled with the numbers 1 10. He spins it 100 times and records his results
More informationMATH 130 FINAL REVIEW version2
MATH 130 FINAL REVIEW version2 Problems 1 3 refer to triangle ABC, with =. Find the remaining angle(s) and side(s). 1. =50, =25 a) =40,=32.6,=21.0 b) =50,=21.0,=32.6 c) =40,=21.0,=32.6 d) =50,=32.6,=21.0
More informationBELLWORK Vocabulary 4-5 MB pg White Boards!! square root
BELLWORK Vocabulary 4-5 MB pg. 182 White Boards!! square root principal square root perfect square perfect square October 16, 2013 Wednesday, October 16th Today's Agenda: 1. Bell Work: Vocabulary Ch. 4-5
More informationCategory A: Estimating Square Roots and Cube Roots - 3
Category A: Estimating Square Roots and Cube Roots When estimating irrational numbers, the easiest way to compare values is by squaring (or cubing) the given values. Ex: Between which two consecutive numbers
More informationWorksheets for GCSE Mathematics. Accuracy & Rounding. Mr Black's Maths Resources for Teachers. Number
Worksheets for GCSE Mathematics Accuracy & Rounding Mr Black's Maths Resources for Teachers Number Accuracy & Rounding Worksheets Contents Differentiated Independent Learning Worksheets Rounding to the
More informationLesson 6 ~ Write and Solve Proportions
Lesson 6 ~ Write and Solve Proportions Solve each proportion. 3 x 1. = 2. 4 20 5 25 8 a = 3. = 7 y 28 7 4. x 32 = 3 16 5. 6 12 = y 48 6. 3 5 = 15 b 7. 11 14 = x 28 8. 26 30 = x 15 9. 5 = 20 4 y Determine
More informationDo Now Monday, August 22, 2016
Do Now Monday, August 22, 2016 How do we convert between SI units? Write your answer using complete sentences. 3.5 minutes Do Now Check By the end of the day today, IWBAT Differentiate between Pure & Applied
More informationEssential Mathematics Practice Problems for Exam 5 Chapter 8
Math 254B Essential Mathematics Practice Problems for Eam 5 Chapter 8 Name Date This eam is closed book and closed notes, ecept for the Geometry Formula sheet that is provided by the instructor. You can
More informationRational. 8 h 24 h. A rational number is a number that can be written as the ratio of two integers = 1. ACTIVITY: Ordering Rational Numbers
. rational numbers? How can you use a number line to order The word rational comes from the word ratio. Recall that you can write a ratio using fraction notation. If you sleep for hours in a day, then
More informationThe Pythagorean Theorem
6 6 What You ll Learn You ll learn to use the and its converse. Wh It s Important Carpentr Carpenters use the to determine the length of roof rafters when the frame a house. See Eample 3. The The stamp
More informationThe Pythagorean Theorem 8.6.C
? LESSON 8.1 The Pythagorean Theorem ESSENTIAL QUESTION Expressions, equations, and relationships 8.6.C Use models and diagrams to explain the Pythagorean Theorem. 8.7.C Use the Pythagorean Theorem...
More informationFind the exact values of the indicated trigonometric functions. Write fractions in lowest terms. 1)
MAC 1114 Review for Exam 1 Name Find the exact values of the indicated trigonometric functions. Write fractions in lowest terms. 1) 1) 12 20 16 Find sin A and cos A. 2) 2) 9 15 6 Find tan A and cot A.
More informationNumber 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 informationAnswer 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 informationPythagorean Theorem. 2.1 Soon You Will Determine the Right Triangle Connection The Pythagorean Theorem... 45
Pythagorean Theorem What is the distance from the Earth to the Moon? Don't let drawings or even photos fool you. A lot of them can be misleading, making the Moon appear closer than it really is, which
More information4 One ticket costs What will four tickets cost? 17.50
TOP TEN Set X TEST 1 1 Multiply 6.08 by one thousand. 2 Write one quarter as a decimal. 3 35% of a number is 42. What is 70% of the number? 4 One ticket costs 17.50. What will four tickets cost? 17.50
More informationMeasurement 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 informationPart I Multiple Choice
Oregon Focus on Lines and Angles Block 3 Practice Test ~ The Pythagorean Theorem Name Period Date Long/Short Term Learning Targets MA.MS.08.ALT.05: I can understand and apply the Pythagorean Theorem. MA.MS.08.AST.05.1:
More informationDIVISION BOX means sign
PRACTICE 23 In the last practice assignment, we tried 2 numbers divided by 1 number with no leftover number. In this practice assignment we will try 2 numbers divided by 1 number with a leftover number.
More information15 x 15 Multiplication Tables (Blank) X
15 x 15 Multiplication Tables (Blank) X 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 x 15 Multiplication Tables (Completed) X 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 1 2 3 4
More informationTo use the Math round questions in Powerpoint format, you must have access to MathType:
To use the Math round questions in Powerpoint format, you must have access to MathType: MathType is used to create the math questions. You can download a free 30-day trial copy of the MathType program
More informationPractice A. Solving Inequalities by Adding or Subtracting. Solve. Then match each solution set with its graph. 1. r 1 2 A. 2. m 3 6 B. 3. x 4 1 C.
Practice A Solving Inequalities by Adding or Subtracting Solve. Then match each solution set with its graph. 1. r 1 2 A. 2. m 3 6 B. 3. x 4 1 C. 4. k 2 5 D. Solve. Check each answer. 5. a 7 2 6. h 9 3
More informationThe Pythagorean Theorem is used in many careers on a regular basis. Construction
Applying the Pythagorean Theorem Lesson 2.5 The Pythagorean Theorem is used in many careers on a regular basis. Construction workers and cabinet makers use the Pythagorean Theorem to determine lengths
More informationUnit Rates, and Proportions
Unit Rates, and Proportions Multiple hoice Identify the choice that best completes the statement or answers the question. 1. The scale used to create a blueprint of a new house is 0.25 inches = 1 foot.
More informationChapter 8. Lesson a. (2x+3)(x+2) b. (2x+1)(3x+2) c. no solution d. (2x+y)(y+3) ; Conclusion. Not every expression can be factored.
Chapter 8 Lesson 8.1.1 8-1. a. (x+4)(y+x+) = xy+x +6x+4y+8 b. 18x +9x 8-. a. (x+3)(x+) b. (x+1)(3x+) c. no solution d. (x+y)(y+3) ; Conclusion. Not every expression can be factored. 8-3. a. (3x+1)(x+5)=6x
More informationCatty Corner. Side Lengths in Two and. Three Dimensions
Catty Corner Side Lengths in Two and 4 Three Dimensions WARM UP A 1. Imagine that the rectangular solid is a room. An ant is on the floor situated at point A. Describe the shortest path the ant can crawl
More informationLength and area Block 1 Student Activity Sheet
Block 1 Student Activity Sheet 1. Write the area and perimeter formulas for each shape. 2. What does each of the variables in these formulas represent? 3. How is the area of a square related to the area
More informationAssignment 5 unit3-4-radicals. Due: Friday January 13 BEFORE HOMEROOM
Assignment 5 unit3-4-radicals Name: Due: Friday January 13 BEFORE HOMEROOM Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Write the prime factorization
More informationPart 1 Whole Numbers
Part Whole Numbers. Which number below is a factor of 32? 6 2 24 4. Which set does NOT contain any multiples of? 24, 36, 42, 54 2, 5, 20, 24, 6, 34, 42 6, 0, 4, 2. Which set of numbers below does NOT include
More informationWORKING WITH NUMBERS GRADE 7
WORKING WITH NUMBERS GRADE 7 NAME: CLASS 3 17 2 11 8 22 36 15 3 ( ) 3 2 Left to Right Left to Right + Left to Right Back 2 Basics Welcome back! Your brain has been on holiday for a whilelet s see if we
More informationWe could also take square roots of certain decimals nicely. For example, 0.36=0.6 or 0.09=0.3. However, we will limit ourselves to integers for now.
7.3 Evaluation of Roots Previously we used the square root to help us approximate irrational numbers. Now we will expand beyond just square roots and talk about cube roots as well. For both we will be
More informationDaily Warmup. - x 2 + x x 2 + x Questions from HW?? (7x - 39) (3x + 17) 1. BD bisects ABC. Find the m ABC.
Daily Warmup Questions from HW?? B 1. BD bisects ABC. Find the m ABC. (3x + 17) (7x - 39) C 2. The figure below is a regular polygon. Find the value of x. - x 2 + x + 43 A D 4x 2 + x - 37 3. The measure
More informationThe Sixth Annual West Windsor-Plainsboro Mathematics Tournament
The Sixth Annual West Windsor-Plainsboro Mathematics Tournament Saturday October 27th, 2018 Grade 6 Test RULES The test consists of 25 multiple choice problems and 5 short answer problems to be done in
More informationFree Pre-Algebra Lesson 37! page 1
Free Pre-Algebra Lesson 37! page 1 Lesson 37 Scale and Proportion Ratios and rates are a powerful way to compare data. Comparing and calculating with ratios and rates is one of the most common and useful
More informationPractice Test Chapter 8 Sinusoidal Functions
FOM 12 Practice Test Chapter 8 Sinusoidal Functions Name: Multiple Choice Identify the choice that best completes the statement or answers the question. Block: _ 1. Convert 120 into radians. A. 2 3 B.
More informationGeometry Semester 2 Final Review
Class: Date: Geometry Semester 2 Final Review Multiple Choice Identify the letter of the choice that best completes the statement or answers the question. 1. Each unit on the map represents 5 miles. What
More information