Thinking Kids First Grade NCTM Strands Covered: Number and Operations Algebra Geometry Measurement Data Analysis and Probability Posttest
How to Use This Assessment This Posttest assesses your students understanding of the concepts and objectives from the Thinking Kids TM Math Grade 1 boxed set. After your students have completed the cards from the set, use this Posttest to determine if they have mastered the concepts and to identify students who need reteaching and further practice. If students score poorly, you may want to use the Thinking Kids TM Math Grade K assessment to determine if the Grade K boxed set is better for your students. Here are the specific features of this assessment: 1 2 Name Date Count with understanding and recognize how many in sets of objects Cards: C-1 and C-2 3 1.1 Count the spots on the ladybug. Write the number. 4 1.1 7 spots See cards C-1 and C-2. 1.2 Five tens and four ones should be colored. See cards C-3, C-4, C-5, C-6, and C-7. 1.3 Students should draw an X on the second child and a line under the fourth child. See cards C-8, C-9, and C-10. 1.4 >; <; <; > See cards C-11, C-12, and C-13. 1.5 Answers will vary. See cards C-14 and C-15. 1.6 spots 5 See cards C-16, C-17, and C-18. 1.7 +; ; ; +; +; See cards C-19, C-20, C-21, C-23, C-24, a d C-25. 6 Posttest Answer Key 1.13 Sort, classify, and order objects by size, number, and other properties Cards: C-38 and C-39 1.13 Sort the shapes by writing their numbers in the correct spaces. Striped 6 Both 4 Sides 2 4 6 See cards C-38 and C-39. 1.14 Students should draw a triangle. ABCABCABC See cards C-40, C-41, C-42, C-43, C-44, C-45, C-47, and C-48. 1.15 16; Each number increases by 2. See cards C-44, C-45, C-46, C-47, C-48, and C-49. 1.16 These pairs should be the same color: 7 + 5 = 12 and 5 + 7 2; 1 + 6 = 7 = 1 3 5 1.23 Up 2, Right 1 See card C-62. 1.24 The scissors should be circled. See card C-63. 1.25 Recognize and apply slides, flips, and turns Card: C-64 Find and name locations with simple relationships such as near to and in coordinate systems such as maps Card: C-63 1.24 Use the grid to answer the question. Which object is below the? 1.25 Draw a flip of the triangle. See card C-64. 1.26 The T and the X should be circled. See card C-65. Flip 1.27 The square should be circled. See card C-66. 1.28 3 + 2 + 3 + 2 = 10 blocks See card C-67. 1.29 The measuring cup should be circled. volume 1 NCTM standard that the activity addresses 2 Corresponding Thinking Kids TM Math card(s) (Use these cards for teaching, reinforcing, or remediating the standard.) 3 Grade level and problem number See cards C-68, C-71, C-73, C-74, and C-75. 1.30 3, 2, 4, 1 See cards C-68, C-71, C-73, C-74, and C-75. 1.31 5 centimeters See cards C-68 and C-71. 1.32 Answers will vary depending on the type of paper clip used. See card C-69. 1.33 11 books See card C-70. 1.34 4 inches See card C-71. 1.35 2 paper clips; 2 crayons; 4 paper clips See card C-72. 4 Symbol for the NCTM strand covered in the activities (See page 1 for a key depicting each strand.) 5 Test item that relates to the standard and assesses students readiness levels 6 Activity answers and corresponding cards to use to assess the standard Reprinted with permission from Principles and Standards for School Mathematics, copyright 2000 by the National Council of Teachers of Mathematics (NCTM). All rights reserved. NCTM does not endorse the content or validity of these alignments. 2
Count with understanding and recognize how many in sets of objects Cards: C-1 and C-2 1.1 Count the spots on the ladybug. Write the number. spots Use multiple models to develop initial understandings of place value and the base-ten number system 1.2 Color the correct number of tens and ones to make the number. Cards: C-3, C-4, C-5, C-6, and C-7 Tens Ones 3
Develop understanding of the relative position and magnitude of whole numbers and of ordinal and cardinal numbers and their connections 1.3 Follow the directions. Cards: C-8, C-9, and C-10 Draw a line under the child who is fourth in line. Draw an X on the child who is second in line. Develop a sense of whole numbers and represent and use them in flexible ways, including relating, composing, and decomposing numbers Cards: C-11, C-12, and C-13 1.4 Write > or < to compare each pair of numbers. 27 22 45 54 92 93 37 31 4
Connect number words and numerals to the quantities they represent, using various physical models and representations 1.5 Show the number 8 two more ways using words, number sentences, counters, or tally marks. Cards: C-14 and C-15 8 Understand and represent commonly used fractions, such 1 as 4, 1 3, and 1 2 Cards: C-16, C-17, and C-18 1.6 Circle the picture that shows the fraction. 1 4 5
Understand various meanings of addition and subtraction of whole numbers and the relationship between the two operations Cards: C-19, C-20, C-21, C-23, C-24, and C-25 1.7 Write + or to make each number sentence true. 2 8 = 10 10 2 = 8 9 6 = 3 6 3 = 9 4 2 = 6 6 2 = 4 Understand the effects of adding and subtracting whole numbers 1.8 Write the number sentence for the picture. Cards: C-22, C-26, and C-27 = 6
Understand situations that entail multiplication and division, such as equal groupings of objects and sharing equally Card: C-28 1.9 Draw a picture to solve the problem. Write the answer on the line. Brooke picked 12 flowers to give to 2 of her friends. She gave each friend the same number of flowers. How many flowers did Brooke give to each friend? flowers Develop and use strategies for wholenumber computations, with a focus on addition and subtraction Cards: C-29, C-30, C-31, C-32, and C-33 1.10 Count on to find the sum. Craig collected 7 small shells and 2 large shells from the beach. How many shells did Craig collect in all? + = Craig collected shells. 7
Develop fluency with basic number combinations for addition and subtraction Cards: C-34, C-35, C-36, and C-37 1.11 Find the problems that have the same answers. Draw lines to connect those problems. 10 4 9 5 7 3 4 3 6 5 8 2 Use a variety of methods and tools to compute, including objects, mental computation, estimation, paper and pencil, and calculators Cards: C-36 and C-37 1.12 Solve each problem. 9 + 7 = 8 + 6 = 5 + 6 = 7 + 8 = 8 + 9 = 7 + 6 = 8
Sort, classify, and order objects by size, number, and other properties Cards: C-38 and C-39 1.13 Sort the shapes by writing their numbers in the correct spaces. 1 2 3 4 5 6 Striped Both 4 Sides Recognize, describe, and extend patterns such as sequences of sounds and shapes or simple numeric patterns and translate from one representation to another 1.14 Draw the shape that comes next to complete the pattern. Then, name the pattern using letters. Cards: C-40, C-41, C-42, C-43, C-44, C-45, C-47, and C-48 9
Analyze how both repeating and growing patterns are generated Cards: C-44, C-45, C-46, C-47, C-48, and C-49 1.15 Use the pattern to answer the questions. 6, 8, 10, 12, 14, What is the next number in the pattern? How do you know? Illustrate general principles and properties of operations, such as commutativity, using specific numbers Cards: C-50, C-51, and C-52 1.16 Solve each problem. Color each pair of problems that have the same sum the same color. 7 + 5 = 1 + 6 = 6 + 1 = 3 + 7 = 5 + 7 = 7 + 3 = 10
Use concrete, pictorial, and verbal representations to develop an understanding of invented and conventional symbolic notations Cards: C-53 and C-54 1.17 Write >, <, or = to compare each set of numbers. 2 + 3 6 6 + 2 3 + 4 8 3 4 + 7 11
Recognize, name, build, draw, compare, and sort two- and threedimensional shapes 1.18 Circle the name of each shape. Card: C-55 rhombus trapezoid triangle rhombus trapezoid triangle Recognize geometric shapes and structures in the environment and specify their location 1.19 Use the picture to answer the questions. Card: C-55 What shape is the roof? square circle triangle Draw a door that is a rectangle. 12
Describe attributes and parts of two- and threedimensional shapes 1.20 Write how many faces are on each figure. Cards: C-56, C-57, C-58, and C-59 Investigate and predict the results of putting together and taking apart two- and threedimensional shapes 1.21 Use the pictures to answer the questions. Card: C-60 What shape can be made when two squares are put together? What shape can be made when two triangles are put together? 13
Describe, name, and interpret relative positions in space and apply ideas about relative position Card: C-61 1.22 Follow the directions. Draw an X on the toy that is above the teddy bear. Circle the toy that is below the boat. Describe, name, and interpret direction and distance in navigating space and apply ideas about direction and distance 1.23 Help the frog find the lily pad. Circle the answer to the question. Card: C-62 How did the frog move to get to the lily pad? Down 2, Left 1 Up 2, Right 1 Up 1, Left 1 Down 1, Right 2 14
Find and name locations with simple relationships such as near to and in coordinate systems such as maps 1.24 Use the grid to answer the question. Card: C-63 Circle the object that is below the. Recognize and apply slides, flips, and turns Card: C-64 1.25 Draw a flip of the triangle. Flip 15
Recognize and create shapes that have symmetry Card: C-65 1.26 Circle the two letters that have symmetry. T N X Recognize and represent shapes from different perspectives 1.27 Circle the shape of the bottom face of the figure. Card: C-66 Relate ideas in geometry to ideas in number and measurement Card: C-67 1.28 Use the length of each side to write a number sentence. Then, solve the number sentence to find the perimeter. 3 blocks 2 blocks 2 blocks 3 blocks + + + = blocks 16
Recognize the attributes of length, volume, weight, area, and time Cards: C-68, C-71, C-73, C-74, and C-75 1.29 Circle the answer to each question. What tool is used to measure water? What does the circled tool measure? length weight volume Compare and order objects according to these attributes Cards: C-68, C-71, C-73, C-74, and C-75 1.30 Number the animals from 1 to 4 to order them from lightest to heaviest. 17
Understand how to measure using nonstandard and standard units 1.31 Measure the caterpillar in centimeters. Cards: C-68 and C-71 centimeters Use repetition of a single unit to measure something larger than the unit, for instance, measuring the length of a room with a single meterstick 1.32 Use a small paper clip to measure the dog. Card: C-69 The dog is about paper clips long. 18
Measure with multiple copies of units of the same size, such as paper clips laid end to end 1.33 Use the stack of books to measure the bookcase. Card: C-70 Use tools to measure Card: C-71 The bookcase is 1.34 Measure the train in inches. books tall. The train is inches long. 19
Develop common referents for measures to make comparisons and estimates 1.35 Answer the questions. Card: C-72 How many paper clips long is the crayon? paper clips How many crayons long is the pencil? crayons How many paper clips long is the pencil? paper clips 20
Sort and classify objects according to their attributes and organize data about the objects Cards: C-76 and C-77 1.36 Sort counting bears into the correct columns. Small Red Bears Large Blue Bears Represent data using concrete objects, pictures, and graphs Cards: C-78, C-79, and C-80 1.37 Graph the data from the tally chart. Color the spaces above each color word. Number of Marbles 6 5 4 3 2 1 Lucy s Marbles red green blue Colors red green blue 21
Describe parts of the data and the set of data as a whole to determine what the data show Cards: C-81 and C-82 1.38 Use the graph to answer the questions. Total Rainfall 4 3 2 1 Sunday Monday Tuesday Days of the Week How many inches of rain fell on Sunday? Inches inches How many inches of rain fell on Monday? inch Discuss events related to students experiences as likely or unlikely Cards: C-83 and C-84 1.39 Look at the picture. Write likely or unlikely to answer the question. 1 1 1 1 1 1 1 1 5 5 5 10 Is it likely or unlikely that you would pull a penny from the purse? 22
Posttest Answer Key 1.1 7 spots See cards C-1 and C-2. 1.2 Five tens and four ones should be colored. See cards C-3, C-4, C-5, C-6, and C-7. 1.3 Students should draw an X on the second child and a line under the fourth child. See cards C-8, C-9, and C-10. 1.4 >; <; <; > See cards C-11, C-12, and C-13. 1.5 Answers will vary. See cards C-14 and C-15. 1.6 See cards C-16, C-17, and C-18. 1.7 +; ; ; +; +; See cards C-19, C-20, C-21, C-23, C-24, and C-25. 1.8 8 4 = 4 See cards C-22, C-26, and C-27. 1.9 Drawings will vary, but students should draw 2 groups of 6 flowers. 6 flowers See card C-28. 1.10 9 shells See cards C-29, C-30, C-31, C-32, and C-33. 1.11 Lines should be drawn to connect these problems: 10 4 and 8 2; 7 3 and 9 5; and 6 5 and 4 3. See cards C-34, C-35, C-36, and C-37. 1.12 16; 15; 14; 17; 11; 13 See cards C-36 and C-37. 1.13 1.13 Sort, classify, and order objects by size, number, Sort the shapes by writing their numbers in the and other properties correct spaces. Cards: C-38 and C-39 1 2 3 4 5 6 2 6 Striped 4 Both 1 4 Sides See cards C-38 and C-39. 1.14 Students should draw a triangle. ABCABCABC See cards C-40, C-41, C-42, C-43, C-44, C-45, C-47, and C-48. 1.15 16; Each number increases by 2. See cards C-44, C-45, C-46, C-47, C-48, and C-49. 1.16 These pairs should be the same color: 7 + 5 = 12 and 5 + 7 = 12; 1 + 6 = 7 and 6 + 1 = 7; and 3 + 7 = 10 and 7 + 3 = 10. See cards C-50, C-51, and C-52. 1.17 <; >; < See cards C-53 and C-54. 1.18 trapezoid; rhombus See card C-55. 1.19 triangle; A rectangular door should be drawn on the house. See card C-55. 1.20 6; 5; 6 See cards C-56, C-57, C-58, and C-59. 1.21 The rectangle and the square should be circled. See card C-60. 1.22 The ball should have an X on it. The doll should be circled. See card C-61. 3 5 1.23 Up 2, Right 1 See card C-62. 1.24 The scissors should be circled. See card C-63. 1.25 Recognize and apply slides, flips, and turns Card: C-64 1.25 Draw a flip of the triangle. See card C-64. 1.26 The T and the X should be circled. See card C-65. 1.27 The square should be circled. See card C-66. 1.28 3 + 2 + 3 + 2 = 10 blocks See card C-67. 1.29 The measuring cup should be circled. volume See cards C-68, C-71, C-73, C-74, and C-75. 1.30 3, 2, 4, 1 See cards C-68, C-71, C-73, C-74, and C-75. 1.31 5 centimeters See cards C-68 and C-71. 1.32 Answers will vary depending on the type of paper clip used. See card C-69. 1.33 11 books See card C-70. 1.34 4 inches See card C-71. 1.35 2 paper clips; 2 crayons; 4 paper clips See card C-72. Flip 23
1.36 Check that students sort the counting bears into the correct columns. See cards C-76 and C-77. 1.37 The graph should be colored to represent 3 red marbles, 4 green marbles, and 5 blue marbles. See cards C-78, C-79, and C-80. 1.38 2 inches; 1 inch See cards C-81 and C-82. 1.39 likely See cards C-83 and C-84. Posttest Answer Key 24