Let's Do Mathematics K – Worktext B by Regal Education

Ki n d erg a rt en

for learners 3 - 5 years old

Aligned to the US Common Core State Standards

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Ki n d erg a rt en

for learners 3 - 5 years old

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First edition 2021 This edition is published by Regal Education Inc. ISBN 978-1-953591-01-2

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This book or parts thereof may not be reproduced in any form, stored in any retrieval system, or transmitted in any form by any means – electronic, mechanical, photocopy, recording, or otherwise – without prior written permission of the copyright owner.

Regal Education Inc. 10 Pienza, Irvine, CA 92606, United States www.regaleducation.org

Let’s Do Mathematics

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Let’s Do Mathematics is a series covering levels K-6 and is fully aligned to the United States Common Core State Standards (USCCSS). Each level consists of two books (Book A and Book B) and combines textbook-style presentation of concepts as well as workbook practice.

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Central to the USCCSS is the promotion of problem-solving skills and reasoning. Let’s Do Mathematics achieves this by teaching and presenting concepts through a problem-solving based pedagogy and using the concrete-pictorial-abstract (CPA) approach. Learners acquire knowledge and understanding of concepts through a guided progression beginning with concrete examples and experiences which then flow into pictorial representations and finally mastery at the abstract and symbolic level. This approach ensures that learners develop a fundamental understanding of concepts rather than answering questions by learned procedures and algorithms. Key features of the series include:

Anchor Task

Open-ended activities serve as the starting point for understanding new concepts. Learners engage in activities and discussions to form concrete experiences before the concept is formalized.

Word Problems

s Addition and Subtraction Storie Anchor Task

Make addition and subtraction

stories.

3 birds are sleeping. 2 birds join them. There are 5 birds in all.

225

224

Let’s Learn

Concepts are presented in a clear and colorful manner. Worked problems provide learners with guided step-by-step progression through examples. Series mascots provide guidance through helpful comments and observations when new concepts are introduced.

Let’s Learn How many cubes

How many straw berries? Let’s find out by count ing on.

1, 2, 3.

1, 2.

Put the cubes toget

her and count.

There are 5 cubes . 3 and 2 make 5.

2 5

136

5, 6, 7. There are 7 strawberries!

1, 2, 3, 4, 5. There are 5 cubes!

There are 7 straw berries. 5 and 2 make 7.

2 7

137

iii

Let’s Practice

on one team. There are 5 players on the other team. There are 5 players

Let’s Practice

n stories. Complete the additio 3 children are eating 1 child joins them.

Learners demonstrate their understanding of concepts through a range of exercises and problems to be completed in a classroom environment. Questions provide a varying degree of guidance and scaffolding as learners progress to mastery of the concepts.

lunch.

There are

players in all.

g. 4 monkeys are dancin 5 monkeys join them.

children in all.

There are

pencils in all.

There are 228

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4 pencils are in the box. table. 2 pencils are on the

At Home Count and match.

At Home

229

2. Count and color.

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Further practice designed to be completed without the guidance of a teacher. Exercises and problems in this section follow on from those completed under Let’s Practice.

monkeys in all.

Hands On

Play this game in groups of

Hands On

Learners are encouraged to ‘learn by doing’ through the use of group activities and the use of mathematical manipulatives.

3 or 4!

Spread some shapes on your

table.

Find the rectangles!

shape. 2. Your teacher will say a 3. Find all of the shapes and make 2 groups.

Solve it!

Trace the squares, rectan

gles, triangles, and circles

is the winner! 4. The first group to finish

Solve It!

174

Activities that require learners to apply logical reasoning and problem-solving. Problems are often posed which do not have a routine strategy for solving them. Learners are encouraged to think creatively and apply a range of problem-solving heuristics.

Looking Back

Consolidated practice where learners demonstrate their understanding on a range of concepts taught within a unit.

182

bond. 2. Count and complete the number

Looking Back 1.

Check 2 groups of blocks to make 5.

Circle 2 shells to make 8.

75 6

Color 2 numbers to make 10.

128

129

Contents Counting to 20 Make 10 First

8 Numbers Beyond 20

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Counting to 50 Counting to 100

9 Positions

Above and Below Behind and In Front Next to and Beside

10 Measurement

Length Height Weight Capacity

11 Recognizing Shapes

2D Shapes Shape Patterns 3D Shapes Composing Shapes

12 Classification

Alike and Different Sorting by Color Sorting by Count

2 2 28

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7 Numbers to 20

54 54 71

82 82 90 96 104 104 116 128 140 154 154 183 188 202 218 220 228 238 v

Numbers to 20

Remember This!

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Counting to 20

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6 six

seven

eight

nine

10 ten

Have a Go!

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Count and write the number.

Anchor Task

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Let’s count.

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Let’s Learn

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eleven

twelve

thirteen

fourteen

fifteen 6

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sixteen

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seventeen

eighteen

nineteen

twenty 7

Let’s Practice

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1. Match.

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2. Match.

15 14 12

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13 10

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18 17

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3. Count and write.

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4. Count and write.

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At Home 1. Match.

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14 20

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20 11

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2. Color to show the number.

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3. Count and write.

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Hands On

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Make the numbers. Bundle a ten and add the extra ones. Color the ten frame to match.

15 20

Solve It!

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My number is greater than 10 and less than 13.

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1. Which is Riley’s number?

2. Which is Blake’s number?

My number is less than 15 but greater than 7.

5 27

Make 10 First

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Anchor Task

Let’s Learn

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Count on from 10.

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eleven

twelve

12 is 10 and 2.

11 is 10 and 1.

thirteen 13 is 10 and 3.

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fourteen

fifteen

sixteen 16 is 10 and 6.

15 is 10 and 5.

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14 is 10 and 4.

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seventeen

17 is 10 and 7.

eighteen

18 is 10 and 8. 31

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nineteen

19 is 10 and 9.

twenty

20 is 10 and 10. 32

Let’s Practice

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1. Color circles red to make 10. Then color circles blue to make the number.

R 17

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and

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2. Complete.

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and

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and

is 36

and

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and

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and

. 37

is 10 and

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3. Circle a group of 10 and count on.

is 10 and

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is 10 and

Hands On

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Play Memory Match!

Solve It!

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Draw a birthday cake with 17 candles. Show the candles as 10 candles and 7 more candles.

Draw 14 cookies on the baking tray. Show the cookies as 10 cookies and 4 more cookies.

At Home 1. Draw shapes to make the number.

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Make 12.

12 is

and

Make 14.

14 is 42

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Make 17.

17 is

and

Make 20.

20 is

and

. 43

and

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is 44

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2. Count on from 10.

and

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and

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and

. 45

is 10 and

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3. Circle a group of 10 and count on.

is 10 and

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is 10 and

. 47

Hands On

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Make a Rekenrek!

Solve It! Draw a picture to help find the answer.

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(a) Wyatt has 10 more stuffed animals than Halle. If Halle has 8 stuffed animals, how many does Wyatt have?

(b) If Halle gets 5 more stuffed animals, how many will she have? Make a 10 to show how you know.

Looking Back

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1. Count and write.

2. Match.

20 11

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15 51

is 10 and

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is 10 and

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3. Count on from 10.

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is 10 and

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4. Circle a group of 10 and count on.

is 10 and

Numbers Beyond 20

Remember this!

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Counting to 50

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eleven

twelve

thirteen

fourteen

fifteen 54

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sixteen

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seventeen

eighteen

nineteen

twenty Can you count past 20?

Have a go!

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1. Count and write.

is 10 and

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is 10 and

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2. Count on from 10.

Anchor Task

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Point and count.

eg 46

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Let’s Learn

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Point and count from 21 to 30.

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Count from 21 to 30 with your friends. 25, 26, 27...

21, 22, 23, 24...

28, 29, 30.

Let’s Practice

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Count. Fill in the missing numbers.

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22 21

At Home

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Count. Fill in the missing numbers.

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Let’s Learn Point and count from 31 to 40.

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Count from 31 to 40 with your friends.

38, 39, 40.

31, 32, 33, 34...

35, 36, 37...

Hands On Play this game in pairs.

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1. Make a model of a number greater than 20 using tens and ones. 2. Have your partner name and write the number.

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3. Switch roles.

Solve it! Sophie and Dominic both drew a number bond of 28.

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Sophie broke hers down into 20 and 8. Dominic broke his down into 8 and 20.

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Draw both number bonds. Then draw a picture of 28 in tens and ones.

What do you notice?

Let’s Practice

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Count. Fill in the missing numbers.

At Home

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Count. Fill in the missing numbers.

Let’s Learn

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Point and count from 41 to 50.

Count from 41 to 50 with your friends. 45, 46, 47...

41, 42, 43, 44...

48, 49, 50.

Let’s Practice

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Count. Fill in the missing numbers.

At Home

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Count. Fill in the missing numbers.

Counting to 100 Let’s Learn

80 90

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Point and count from 1 to 100.

99 100

Hands On Using tens, count and make 50, 60, 70, 80, 90, 100.

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What do you notice when you get to 100? Tell your partner.

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Now starting at 100, take away tens until you get to 0. Count down as you go.

Solve it! Ethan noticed that he and all his friends have 10 fingers each.

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He wanted to count the fingers on the hands of 4 of his friends.

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Another friend came and asked him to count the fingers on only one of his hands.

Draw all the hands of the 5 friends, and then write how many fingers they all had together.

Let’s Practice

96 74

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Count on.

At Home Count. Fill in the missing numbers.

12 13 14 15 16 17

19 20

24 25 26 27 28 29 30

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21 22

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31 32 33 34 35 36 37 38 41 42 43 44

46 47 48 49 50

52 53 54 55 56 57 58 59 60 63 64 65 66 67 68 69 70

71 72 73 74 75 76 77 81 82 83

79 80

85 86 87 88 89 90

91 92 93 94 95 96 97 98 99

Let’s Learn

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Point and count to 100 by 10s.

100

Let’s Practice

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Count on to 100 by 10s.

At Home

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Count by 10s. Fill in the missing numbers.

Solve it!

1. On what floor is Halle’s friend?

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2. On what floor is the restaurant?

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Halle is staying on floor 20 of a hotel. She goes up 20 floors to visit her friend. She then goes up another 30 floors to the restaurant.

Looking Back

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1. Count. Fill in the missing numbers.

2. Fill in the missing numbers.

12 13

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18 19 20

21 22 23 24 25 26 27 28 29

41 42

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31 32 33 34 35 36 37 38 39 48 49

51 52 53 54 55 56 57 58 59 66 67 68 69

71 72 73 74 75 76 77 78 79 80

81 82 83 84 85

91 92 93 94 95 96 97 98 99 100

Positions

Anchor Task

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Above and Below

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Describe the positions of the things you see.

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The yellow plane is above the red plane.

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Let’s Learn

The red plane is below the yellow plane.

The red plane is above the blue plane.

The blue plane is below the red plane.

Let’s Practice 1. Check.

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above

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below

above below

below

above

above below

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2. Color the toy below green. Color the toy above red.

Color the butterfly above yellow. Color the butterfly below blue.

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3. Circle the correct word.

above

below

above

below

above

below

above

below

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above

At Home 1. Check.

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above

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below

above below

above

above below

below

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2. Check the object that is above.

Check the object that is below.

Behind and In Front

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Let’s Learn

The children are behind the haystack.

The chickens are in front of the haystack.

Let’s Practice 1. Check.

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in front

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behind

in front

in front behind

behind

in front behind 91

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2. Check the toys that are in front. Cross the toys that are behind.

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3. Color the tree behind red. Color the tree in front green.

Color the frog in front blue. Color the frog behind green.

At Home 1. Check.

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in front

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behind

in front

behind

in front behind

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2. Check the animals that are in front. Cross the animals that are behind.

Next To and Beside

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The blue bird is next to the yellow bird.

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Let’s Learn

The red bird is next to the green bird.

The flower is beside the rock.

The snail is beside the mushroom.

Let’s Practice 1. Circle the animal.

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next to the

beside the

next to the

beside the

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2. Check for true and cross for false.

The The

is beside the

is next to the

The

is next to the

The

is beside the

The

is beside the

is next to the

. . . . .

At Home .

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Color the animal beside the

Color the animal next to the

Color the animal beside the

Solve it! Read the clues. Circle the shape.

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The object above me is the same shape. The object below me is the same color.

10 0

Looking Back

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1. Color.

red (

Color the square above the

blue (

Color the square below the

green (

Color the square next to the

Color the square below the

yellow (

). ). 10 1

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2. Circle the correct word.

in front behind

above below

above beside

10 2

next to below

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3. Draw.

Draw a flower (

) below the

Draw a sun (

) above the

Draw a tree (

) behind the fence.

Draw a person (

) beside the

10 3

Measurement

Anchor Task

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Use the words longer or shorter to describe the things you can see.

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Length

104

105

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Let’s Learn

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Compare the lengths.

The row of green cubes is longer than the row of blue cubes. The row of blue cubes is shorter than the row of green cubes.

Stick A is shorter than stick B. Stick B is longer than stick A.

106

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The red pencil and the yellow pencil have the same length.

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Take a pencil from your pencil case. Compare the length of your pencil with your friend’s pencil. My pencil is longer.

My pencil is shorter.

107

Let’s Practice

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1. Circle the longer object.

108

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2. Circle the shorter object.

109

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3. Circle the objects that are the same length.

110

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4. Draw a snake the same length. Color it red. Draw a snake that is longer. Color it blue. Draw a snake that is shorter. Color it yellow.

111

At Home

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Check the longer object. Cross the shorter object. If the objects are the same length, circle both.

112

113

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Solve it!

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1. Draw a row of cubes that is longer. How many cubes did you draw?

2. Draw a row of cubes that is shorter. How many cubes did you draw?

114

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3. Draw a red line that is longer. Draw a blue line that is shorter.

115

Height

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Use the words taller or shorter to describe the things you can see.

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Anchor Task

116

117

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Let’s Learn

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Compare the heights of the children.

Sophie

Chelsea

Sophie is taller than Chelsea. Chelsea is shorter than Sophie.

Compare the heights of the animals.

The bear is shorter than the giraffe. The giraffe is taller than the bear. 118

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Compare the heights of the trees.

The trees are the same height.

Compare your height with the height of a friend. Who is taller? Who is shorter?

I am shorter.

I am taller.

Find someone the same height as you. 119

Let’s Practice

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1. Which is shorter? Circle.

120

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2. Who is taller? Circle.

121

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3. Circle the objects that are the same height.

1 22

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4. Draw a ladder the same height. Color it red. Draw a taller ladder. Color it blue. Draw a shorter ladder. Color it yellow.

123

At Home

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Check the taller object. Cross the shorter object. If the objects are the same height, circle both.

124

125

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Hands On

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1. Draw 2 things in your classroom that are taller than your table.

126

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2. Draw 2 things in your classroom that are shorter than the door.

127

Weight

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Use the words lighter or heavier to describe the things you can see.

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Anchor Task

1 28

129

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Let’s Learn

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The brick is heavier than the sponge. The sponge is lighter than the brick.

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Compare the weight of the objects.

Compare the weight of the animals.

The kitten is lighter than the tiger. The tiger is heavier than the kitten. 130

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Compare the weight of the balls.

The tennis ball is lighter than the basketball. The basketball is heavier than the tennis ball.

Compare the weight of the toys.

The robot is heavier than the rubber duck. The rubber duck is lighter than the robot. 131

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Compare the weight of the toys.

The doll is as heavy as the bear. The doll and the bear are the same weight.

Find an object in your classroom. Compare the weight of your object with a friend’s object. Which is lighter? Which is heavier?

The book is heavier.

1 32

The pencil case is lighter.

Let’s Practice

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1. Circle the heavier object.

133

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2. Circle the lighter object.

1 34

At Home

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Check the thing that is lighter. Cross the thing that is heavier. If they are the same weight, circle both.

135

136

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Hands On

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Find 2 objects in your home. Draw the objects to show which is heavier.

137

Solve it!

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1. Compare the weight of the toys.

Circle the heavier toy.

138

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2. Compare the weight of the toys.

Circle the lighter toy.

139

Capacity Anchor Task

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Use the words holds more or holds less to describe the things you can see.

140

1 41

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Let’s Learn

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Compare the buckets.

The red bucket holds more. The blue bucket holds less.

Compare the boxes.

Box A holds less. Box B holds more. 142

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Compare the trash cans.

The trash cans hold the same amount.

Compare your pencil case with a friend. Which pencil case can hold more? Which can hold less?

Mine holds less.

Mine holds more.

143

Let’s Practice

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1. Circle the object that holds more.

144

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2. Circle the object that holds less.

145

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3. Circle the objects that hold the same amount.

146

At Home

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1. Draw a box that holds more.

2. Draw a bucket that holds less.

147

Solve it!

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1. Sophie filled a blue cup with water. She poured all the water into a yellow cup.

Circle the cup that holds more.

1 48

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2. Ethan filled a green cup with water. He poured all the water into a red cup.

Circle the cup that holds more.

149

Looking Back

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1. Circle the shorter pencil.

2. Circle the longer pencil.

3. Check the pencils that are the same length.

150

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4. Check the shorter tree. Cross the taller tree.

5. Check the children that are the same height.

1 51

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6. Check the lighter thing. Cross the heavier thing. If they are the same weight, circle both.

152

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7. Check the object that holds more. Cross the object that holds less. If they hold the same, circle both.

1 53

Recognizing Shapes

Anchor Task

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Work in pairs. What shapes can you see?

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2D Shapes

154

Let’s Learn

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Point and say.

rectangle

square

circle

triangle

155

Let’s Practice

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1. Trace the shapes. Match.

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rectangle

square

triangle

156

circle

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2. Name the shapes.

r 1 57

Let’s Learn

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side

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This is a square.

corner

A square has 4 equal sides and 4 corners.

These are squares.

158

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Trace the objects with your finger.

These objects have the shape of a square.

159

Let’s Practice

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1. Check the squares.

2. Trace the square. Draw 2 more squares.

160

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3. Check the objects shaped like a square.

161

Let’s Learn This is a rectangle.

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side

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How is a rectangle different from a square?

corner

A rectangle has 4 sides and 4 corners.

These are rectangles.

1 62

These objects have the shape of a rectangle.

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Trace the objects with your finger.

163

Let’s Practice

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1. Check the rectangles.

2. Trace the rectangle. Draw 2 more rectangles.

164

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3. Check the objects shaped like a rectangle.

165

Let’s Learn This is a circle.

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A circle has no corners.

A circle is round.

These are circles.

166

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Trace the objects with your finger.

These objects have the shape of a circle.

1 67

Let’s Practice

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1. Check the circles.

2. Trace the circle. Draw 2 more circles.

168

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3. Check the objects shaped like a circle.

169

Let’s Learn

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side

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This is a triangle.

corner

A triangle has 3 sides and 3 corners.

These are triangles.

170

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Trace the objects with your finger.

These objects have the shape of a triangle.

171

Let’s Practice

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1. Check the triangles.

2. Trace the triangle. Draw 2 more triangles.

172

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3. Check the objects shaped like a triangle.

173

Hands On Play this game in groups of 3 or 4!

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1. Spread some shapes on your table.

2. Your teacher will say a shape. 3. Find all of the shapes and make 2 groups.

4. The first group to finish is the winner! 174

Find the rectangles!

Solve it! Play this game in pairs.

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1. Place some shapes in a bag. 2. Put your hand in the bag and feel a shape. 3. Describe the shape to your friend.

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It has 3 sides...

4. Have your friend draw the shape.

It’s a triangle!

175

Color the circles green. Color the squares red. Color the rectangles blue. Color the triangles yellow.

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At Home

176

177

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2. Count the shapes.

circles.

There are

squares.

There are

triangles.

There are

rectangles.

There are

178

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Check the shapes with 4 sides.

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3. Check the shape with 3 corners.

Complete.

corners and

sides

corners and

sides

corners and

sides 179

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4. Match.

180

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5. Check the shape that matches the object.

181

Solve it!

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Trace the squares, rectangles, triangles and circles.

182

Shape Patterns Let’s Learn

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What shape comes next?

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The next shape is a circle.

The next shape is a rectangle.

183

Let’s Practice 1. Check the next shape in the pattern.

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184

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2. Draw the pattern. Show what comes next.

185

At Home 1. Check the next shape in the pattern.

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186

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2. Draw the pattern. Show what comes next.

1 87

3D Shapes

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Walk around your classroom. Can you find these 3D shapes?

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Anchor Task

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Talk about the shapes you see!

Let’s Learn

corner edge

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This is a cube.

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flat face

You can stack a cube.

You can slide a cube.

You cannot roll a cube.

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This is a sphere.

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curved surface

You cannot stack a sphere.

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You cannot slide a sphere.

You can roll a sphere.

This is a cylinder.

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flat surface

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curved surface

You can stack a cylinder.

You can slide a cylinder.

You can roll a cylinder.

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This is a cone.

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curved surface

flat surface

You cannot stack a cone.

You can slide a cone.

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You can roll a cone.

Let’s Practice

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1. Match.

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cube

cylinder

sphere

cone 193

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2. Name the 3D shapes.

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3. Circle the object with the same shape.

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4. Color the shapes.

Stack

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Roll

Slide

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Solve it!

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Work in pairs. Close your eyes and put your hand into a bag of 3D shapes. Can you name the shapes?

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How can you tell what the shapes are?

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At Home

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1. Circle the shape of the object.

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2. Color the objects by shape.

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3. Name the shape. Check.

stack

slide

roll

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stack

slide

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slide

roll

stack

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Composing Shapes Anchor Task

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Your teacher will give you some shapes. Join the shapes together to make new shapes. Trace the shapes you make.

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Let’s Learn

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We can put shapes together to make new shapes.

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Let’s Practice

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1. Color the shapes used.

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2. Draw each shape to make a new shape.

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3. Color the shapes used.

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At Home

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1. How many shapes are used?

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2. Count and write the number of shapes used.

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Solve it!

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Draw 1 straight line to make 3 triangles.

Draw 1 straight line to make 2 squares and a triangle.

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Looking Back

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1. Match.

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rectangle

square

triangle

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circle

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2. Check the object that matches the shape.

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3. Check the next shape in the pattern.

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4. Match.

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cube

sphere

cylinder

cone

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5. Check the object that matches the 3D shape.

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roll

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roll

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6. Check.

stack

slide

stack

roll

stack

slide

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Classification

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Anchor Task

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Alike and Different Let’s Learn

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We can sort things into groups.

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Let’s circle the things that are alike.

Let’s circle the thing that is different.

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Let’s Practice

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1. Circle the thing that is different.

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2. Circle the thing that is different.

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At Home

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Circle 2 things that are alike.

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Sorting by Size Let’s Learn

Big balloons

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We can sort things by size.

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Small balloons

Let’s Practice

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1. Circle the big objects. Cross out the small objects.

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2. Color the big shapes green. Color the small shapes orange.

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At Home

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Circle the big objects. Cross out the small objects.

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Sorting by Color Let’s Learn

blue

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We can sort the things around us by color.

red

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green

yellow

Let’s Practice 1. Find the color. ) flower.

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Circle the yellow (

Circle the red (

) balloon.

) block.

Circle the green (

Circle the blue (

) book.

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2. Circle the block that is a different color.

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At Home 1. Check the color that matches the object. blue

green

yellow

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red

blue

green

yellow

blue

pink

yellow

red

pink

yellow

red

blue

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2. Match the food by color.

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Sorting by Shape Let’s Learn

squares

circles

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We can sort things by shape.

triangles

rectangles

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Let’s Practice

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1. Check the same shape.

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2. Color the circles red. Color the squares green.

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3. Color the triangles yellow. Color the rectangles blue.

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At Home

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1. Circle the shapes that belong in each box.

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Sorting by Count Let’s Learn

2 balloons

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We can sort things by counting how many.

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3 balloons

Let’s Practice

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1. Circle the plants with 2 flowers. Cross out the plants with 3 flowers.

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2. Circle and cross out to sort the blocks by count.

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Hands On Use linking cubes and make a group based on size, shape or count.

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Have your partner guess how you made your group. Then switch.

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At Home

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1. Circle the groups of 2 cherries. Cross out the groups of 3 cherries.

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2. Circle and cross out to sort the kittens by count.

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Solve It!

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How many different ways can you sort the objects?

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Hands On

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Find and sort objects around the classroom. Draw the objects and show how they are sorted.

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Looking Back

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1. Circle and cross out to sort the objects that are alike.

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2. Circle and cross out to sort the objects by size.

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3. Circle and cross out to sort the objects by color.

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4. Use 2 colors to sort the shapes.

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5. Circle and cross out to sort the objects by count.

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6. Circle and cross out to sort the objects by count.

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This publication would not have been possible without the tireless effort of our production team. Special thanks to: Daniel Cole, Matthew Cole, Wang Hui Guan, Kevin Mahoney, Winston Goh, Jesse Singer, Joseph Anderson, Halle Taylor-Pritchard, Sophie Taylor-Pritchard, Tejal Thakur, Varasinun Mathanattapat, Kanungnit Pookwanmuang, Saijit Lueangsrisuk Original Illustrations: Natchanuch Nakapat, graphicsRF, Blue Ring Media and Interact Images Royalty-free images: Shutterstock, Adobe Stock