2A - Nelson...2A 2A My Math Path 1–8 brings together the proven Singapore Math approach with Canadian curriculum–aligned content. The series blends procedural and conceptual understanding

2A

2A

My Math Path 1–8 brings together the proven Singapore Math approach with Canadian curriculum–aligned content. The series blends procedural and conceptual understanding to support student success and mathematical mastery. My Math Path 1–8 encourages students to think critically and persevere when solving problems using strategies that promote visualization. The purposeful lesson structure aims to boost student confidence and mathematical understanding, fostering positive attitudes toward math.

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mmp2a_onsb_cover.indd All Pages 2019-09-23 8:43 AM

SAMPLE LESSON INSIDE

ACCESS THE DEMO VERSION OF THE MY MATHPATH GRADE 2 ONLINE TEACHING CENTRE (OTC)

FOR FREE!Features include:• Additional teaching materials that support the detailed lessons

found in the print Teacher’s Resource

• Indigenous Connections through meaningful and authentic activities

• Extra practice Blackline Masters to reinforce lesson concepts and allow independent practice

• Revisit and Enrichment Blackline Masters to differentiate instruction

• Virtual Manipulatives and Games to model concepts and enhance instruction

Access your demo now!Please visit nelson.com/mmp2_OTCdemo

For assistance contact Customer Support atE-mail: [email protected]: 1-800-268-222

nelson.com/MMPOntarioReport

Learn about the research and efficacy behind Singapore Math®

and Nelson’s My Math Path

Consultant and AuthorDr. Fong Ho Kheong

AuthorsChelvi Ramakrishnan, Bernice Lau Pui Wah, and Michelle Choo

Canadian Curriculum Advisor Dr. Douglas Edge

Canadian Program AdvisorJean Ford

Canadian Indigenous ReviewersRachel Cosford

Betty Ann Gowland

Student Book

2A

002(M)MIFG2_NonCC_SE(A)_FM.indd 3 24/10/19 6:03 PM

iii

Numbers to 200

Chapter Opener 1

Recall Prior Knowledge 2 Quick Check

1 Counting to 200 5 Learn You can count forward from ten using words. • You can count

numbers greater than 50 by 10. • You can count by 10 and 1. • You can count on from any number.

2 Place Value 10 Learn You can make numbers with tens and ones. • You can use place

value to show numbers to 100. • You can find the nearest ten. Hands-On Activities: Show numbers to 100 in tens and ones using base

10 blocks. • Find the nearest ten using 10-frames.

3 Comparing, Ordering, and Patterns 15 Learn You can compare numbers when the tens are different. • You can

compare numbers when the tens are equal. • You can compare numbers with the symbols >, <, and =. • You can use a number line to count and compare numbers. • You can find the missing numbers in a pattern by adding or subtracting.

Hands-On Activities Count forward by 5, 10, and 25 on a 200 chart and number lines. • Making patterns with a calculator. • Comparing numbers using spinners and a number line.

Game What’s My Number? Let’s Explore Use a 200 chart to make number patterns. Math Journal

Put on Your Thinking Cap! 33

Chapter Wrap Up 34

Contents1

Chapter


iv

Mental Math

Chapter Opener 36


1 Mental Addition 40 Learn You can add ones mentally using a doubles fact. • You can add

ones mentally using the “make a 10” strategy. • You can add ones mentally using the “add the ones” strategy.

Hands-On Activity Use linking cubes to understand number bonds. Game Add Mentally!

2 Mental Subtraction 46 Learn You can subtract ones mentally by recalling number bonds. • You

can subtract ones mentally using “subtract the ones” strategy. Game Subtract Mentally! Let’s Explore Ways to add two 1-digit numbers mentally

3 More Addition and Subtraction 52 Learn You can add different numbers and get the same answer. • You

can find missing numbers in number sentences. Hands-On Activities Adding zero • Subtracting zero • Making numbers

in different ways


Chapter Wrap Up 59

2Chapter


v

Addition and Subtraction to 50

Chapter Opener 60


1 Addition without Regrouping 64 Learn You can add ones to a number in different ways. • You can add

tens in different ways. • You can use place-value charts to add tens to a number. • You can use place-value charts to add 2 numbers.

2 Addition with Regrouping 74 Learn You can use place-value charts to add ones to a number with

regrouping. • You can use place-value charts to add numbers with regrouping. Game Race to 50!

3 Subtraction without Regrouping 81 Learn You can subtract ones from a number in different ways. • You

can subtract tens in different ways. • You can use place-value charts to subtract tens and ones from a number. • You can use place-value charts to subtract one number from another.

4 Subtraction with Regrouping 91 Learn You can use place-value charts to subtract ones with regrouping.

• You can use place-value charts to subtract numbers with regrouping. Game Race to 0!

3Chapter


vi

5 Adding 3 Numbers 99 Learn You can use number bonds to add 3 numbers. Let’s Explore Use different methods to add three numbers.

6 Real-World Problems: Addition and Subtraction 103 Learn You can solve real-world problems using addition. • You can solve

real-world problems using subtraction. • You can solve real-world problems involving addition of 3 numbers.

Hands-On Activity Explore writing addition and subtraction problems.


Chapter Wrap Up 112


vii

Getting Ready for Multiplication and Division

Chapter Opener 114


1 Adding the Same Number 116 Learn You can add the same number. Hands-On Activity Add the same numbers using sheets of paper and

counters. Let’s Explore Arrange counters into rows and write number sentences. Math Journal

2 Sharing Equally 121 Learn You can share equally. Hands-On Activity Share counters equally using 20 counters.

4Chapter


viii

3 Finding the Number of Equal Groups 125 Learn You can find the number of equal groups. Hands-On Activity Make equal groups with counters. Let’s Explore Put connecting cubes into equal groups. Math Journal


Chapter Wrap Up 130

Glossary 132

Credits 147


CONTINUE

60

3Chapter Addition and

Subtraction to 50

Whole numbers can be added and subtracted without and with regrouping.

BIG IDEA

Lesson 1 Addition without Regrouping

Lesson 2 Addition with Regrouping

Lesson 3 Subtraction without Regrouping

Lesson 4 Subtraction with Regrouping

Lesson 5 Adding 3 Numbers

Lesson 6 Real-World Problems: Addition and Subtraction

03(M)MIFG2_NonCC_SE(A)_Ch03.indd 60 24/10/19 6:07 PM

Chapter 3 Addition and Subtraction to 50 61

7 + 5 = ?

Step 1 7 + 5

23

Addi ng by making a 10

14 + 5 = ?

Step 1 14 + 5

410

Add ing by grouping into a 10 and ones

Step 2 4 + 5 = 9

Step 3 10 + 9 = 19

Step 2 7 + 3 = 10

Step 3 10 + 2 = 12

So, 7 + 5 = 12.

So, 14 + 5 = 19.

Recall Prior Knowledge


62 Chapter 3 Addition and Subtraction to 50

Subtracting by grouping into a 10 and ones

16 – 3 = ?

Step 1 16 – 3

610

Step 2 6 – 3 = 3

Step 3 10 + 3 = 13

Related addition and subtraction facts

4 + 3 = 7

7 – 3 = 4

7 – 4 = 3

3 + 4 = 7

13 – 8 = ?

Step 1 13 – 8

103

Step 2 10 – 8 = 2

Step 3 3 + 2 = 5

So, 16 – 3 = 13.

So, 13 – 8 = 5.



Complete the number bonds.Add.

1 7 + 4 = 2 6 + 8 =

13

3 12 + 7 = 4 15 + 3 =

Subtract.

5 16 – 5 = 6 18 – 6 =

7 15 – 7 = 8 11 – 4 =

Write a related addition or subtraction sentence.

9 14 – 6 = 8 10 9 + 7 = 16

610

105

210

Quick Check


Race to 50!Game

STEP

1 The red counters stand for STEP

2 Roll the number tens and the green counters cube to get a number. stand for ones.

STEP

3 Put this number of green counters STEP

4 The other players take

on your place-value chart.

turns to repeat STEP

2

and STEP

3 .

2Lesson

Addition with Regrouping

Goals

• Add a 2-digit number and a 1-digit number with regrouping.

• Add two 2-digit numbers with regrouping.

Vocabularyregroup

How to play:

Players: 4–6 You need:• red counters • a number cube• green counters • a place-value chart for each player



Lesson 2 Addition with Regrouping 75

STEP

5 When it is your turn again, STEP

6 If you get 10 or more roll the number cube. green counters, exchange Add to the number of 10 of them for 1 red counters on your chart. counter.

The first player to get 5 red counters or 5 tens wins!You regroup when you

change 10 ones for 1 ten.

Regroup the ones into tens and ones.Then complete the place-value chart.

Guided Learning

1 Tens Ones

17

Tens Ones

7 17 = =



28 + 6 = ?

LEARN You can use place-value charts to add ones to a number with regrouping.

So, 28 + 6 = 34.

Step 2 Add the tens.

Tens Ones

2 8+ 6

3 4

1 ten + 2 tens + 0 tens = 3 tens

1

Regroup the ones.

14 ones = 1 ten 4 ones

34

28

6

Step 1 Add the ones.

8 ones + 6 ones = 14 ones

Tens Ones 1

2 8+ 6

3 4

28 = 2 tens 8 ones




ones + ones = ones

Regroup the ones.

ones = ten ones


ten + ten + 0 tens = tens

Add and regroup.

Guided Learning

2 Tens Ones1 2

+ 8

3 4

5 6

Tens Ones

3 1+ 9

Tens Ones

2 9+ 6

Tens Ones

2 5+ 7

Tens Ones

3 5+ 8



14 + 18 = ?

LEARN You can use place-value charts to add numbers with regrouping.


4 ones + 8 ones = 12 ones

32

So, 14 + 18 = 32.


1 ten + 1 ten + 1 ten = 3 tens

14

18

Regroup the ones.

12 ones = 1 ten 2 ones

1

1Tens Ones

1 4+ 1 8

2

Tens Ones

1 4+ 1 8

3 2

14 = 1 ten 4 ones18 = 1 ten 8 ones



Add and regroup.

Guided Learning

7


ones + ones = ones

Regroup the ones.

ones = ten one


ten + ten + ten = tens

8 9

10 11

12 13

Tens Ones

1 5+ 1 6

Tens Ones

1 5+ 1 5

Tens Ones

1 2+ 1 9

Tens Ones

3 6+ 8

Tens Ones

1 2+ 2 8

Tens Ones

1 7+ 1 7

Tens Ones

3 9+ 9



6 7 + 39 = 7 24 + 26 =

Tens Ones

+

Tens Ones

+

1 Tens Ones

1 13

= Tens Ones

23 =

Add and regroup.2 Tens Ones

1 8+ 9

3 Tens Ones8

+ 2 7

Regroup the ones into tens and ones.Then fill in the place-value chart.

4 Tens Ones4

+ 1 6

5 Tens Ones1 5

+ 1 9

Let’s Practise


Lesson 5 Adding 3 Numbers 99

LEARN You can use number bonds to add 3 numbers.

5 + 7 + 6 = ?

Step 1 Make a 10 first.

5 + 5 = 10

Step 2 2 + 6 = 8

Step 3 10 + 8 = 18

So, 5 + 7 + 6 = 18.

Step 1 Make a 10 first.

7 + 3 = 10

Step 2 5 + 3 = 8

Step 3 10 + 8 = 18

So, 5 + 7 + 6 = 18.

Method 1

Method 2

5 + 7 + 6

10

5 2

10

3 3

5 + 7 + 6

5Lesson

Adding 3 Numbers

Goal

• Add three 1-digit numbers.



Make a 10.Then add.

1

2

3

Guided Learning

6 + 8 + 3 =

9 + 6 + 5 =

7 + 4 + 8 =


Let’s Explore

1 4 + 9 + 2 = ?

Method 1

Step 1 Add the first 2 numbers.

4 + 9 =

Step 2 Add the result to the third number.

+ 2 =

So, 4 + 9 + 2 =

Method 2

Step 1 Add the last 2 numbers.

9 + 2 =

Step 2 Add the first number to the result.

4 + =

So, 4 + 9 + 2 =

How are the methods alike? How are they different?

Lesson 5 Adding 3 Numbers 101



Show 2 ways to add the 3 numbers.

9 + 7 + 8 =

Think of three 1-digit numbers. Use the 2 methods to add the numbers. Do you get the same answer?

Add.

1 2 + 4 + 8 =

2 3 + 6 + 5 =

3 6 + 7 + 8 =

3

2

Let’s Practise


Lesson 6 Real-World Problems: Addition and Subtraction 103

Rose has 15 .

Walid has 3 more than Rose.

How many does Walid have?

15 + 3 = ?

15 + 3 = 18

Walid has 18 .

LEARN You can solve real-world problems using addition.

15

3

?

Rose

Walid

1 5+ 3

1 8

Check!If 15 + 3 = 18, then 18 – 3should equal 15.

The answer is correct.

1 8– 3

1 5

6Lesson Real-World Problems:

Addition and SubtractionGoals

• Solve real-world problems.

• Use related addition and subtraction facts to check the answers to real-world problems.



Solve. Check your answer.

1 Kosuke makes 10 glasses of orange juice. Dave makes 8 more glasses of orange juice than Kosuke. How many glasses of orange juice does Dave make?

?

Kosuke

Dave

=

Dave makes glasses of orange juice.

2 Kosuke makes 10 glasses of orange juice. He makes 8 fewer glasses of orange juice than Dave. How many glasses of orange juice does Dave make?

?

Kosuke

Dave

=

Dave makes glasses of orange juice.

Guided Learning

The problem can be solved in the same way as in 1 .Dave makes 8 more glasses of orange juice than Kosuke.I can also say that Kosuke makes 8 fewer glasses of orange juice than Dave.



Avani has 13 stickers. Jermaine has 17 stickers. How many more stickers does Jermaine have?

17 – 13 = ?

17 – 13 = 4 Jermaine has 4 more stickers.

LEARN You can solve real-world problems using subtraction.

Check!If 17 – 13 = 4, then 13 + 4 should equal 17.


13

17

Avani

Jermaine

?

Guided LearningSolve. Check your answer.

3 Tanisha has 19 baseball cards. Tyler has 11 baseball cards. How many more baseball cards does Tanisha have?

?

Tanisha

Tyler

=

Tanisha has more baseball cards than Tyler.

I can also say that Avani has 4 fewer stickers than Jermaine.

1 3+ 4

1 7

Tyler has

fewer baseball

cards than Tanisha.




4 Shael makes 20 favours for a party. He makes 6 more favours than Julia. How many favours does Julia make?

?

Shael

Julia

=

Julia makes favours.

Guided Learning

1 4– 1 1

3

Luis lives on the 14th floor.He lives 11 floors higher than Nora.On which floor does Nora live?

14 – 11 = ?

14 – 11 = 3Nora lives on the 3rd floor.


Use to show the floor

on which they live.

14

? 11

Luis

Nora



1 1+ 3

1 4




5 Sitan has 16 beads. Kevin has 7 fewer beads than Sitan. How many beads does Kevin have?

?

Sitan

Kevin

=

Kevin has beads.

Guided Learning

1 9– 7

1 2

Henri bakes 19 cupcakes.Bomi bakes 7 fewer cupcakes than Henri.How many cupcakes does Bomi bake?

19 – 7 = ?

19 – 7 = 12Bomi bakes 12 cupcakes.


19

? 7

Henri

Bomi



1 2+ 7

1 9



Mel bought 5 pears and 6 oranges. She later bought 3 apples. How many fruits did she buy in all?

5 + 6 = 11 11 + 3 = 14Mel bought 14 fruits in all.

LEARN You can solve real-world problems involving addition of 3 numbers.

First add 5 and 6.Then add the third number to the result.

Guided Learning Solve.

6 Gita has 3 bundles of pencils. The first bundle has 4 pencils, the second has 8 pencils, and the third has 6 pencils. How many pencils are there in all?

5 + 6 = 11

11 + 3 = ?

4 + =

+ 6 =

There are pencils in all.

4 + =

+ 6 = ?


Hands-On Activity

Write an addition or a subtraction problem in 2 different ways.

Use and these words to help you.

Then solve the problems.

1

Example

One way: Mala has 10 stickers.Eben has 5 more stickers than Mala.How many stickers does Eben have?

Another way:Mala has 10 stickers.She has 5 fewer stickers than Eben.How many stickers does Eben have?

2

Mala Eben more than fewer than

stickers how many

Gabriel Janelle more than fewer than

cards how many




1

?

12

5


3 Yusuf has 18 bunnies.

Mariama has 12 bunnies.

How many more bunnies does Yusuf have?

4 Devan buys 13 stickers.

Tanvi buys 7 more stickers than Devan.

How many stickers does Tanvi buy?

5 Sita picks up 13 bottles on the beach.

She picks up 8 fewer bottles than Tina.

How many bottles does Tina pick up?

What is the missing number?

2 4

8

Let’s Practise


Put on Your Thinking Cap!

PROBLEM SOLVING

Pick any 3 numbers shown below and complete the addition sentence.Use a number only once for each sentence.

+ + = 12

+ + = 12

+ + = 12

6 72 53 4


6 Ling counted 17 birds in a park.

She counted 9 more birds than butterflies.

How many butterflies did Ling count?

7 Luz makes 6 sandwiches.

Then she makes 2 more sandwiches.

Meg makes 5 sandwiches.

How many sandwiches are there in all?




26 + 3 = ?

Method 1 Count on from the greater number.

26, 27, 28, 29

26 27 28 29

Method 2 Use a place-value chart.



27 + 15 = ?

Use a place-value chart.

Step 1 Add the ones. Regroup the ones.


4 + 7 + 5 = ?

Method 1 4 + 7 + 5

6 1

10

1 + 5 = 610 + 6 = 16

Method 2 4 + 7 + 5

3 2

10

4 + 2 = 610 + 6 = 16

Addition

Without Regrouping With Regrouping Adding 3 Numbers

Solve real-world problems.

Tens Ones

2 6+ 3

2 9

Tens Ones1

2 7+ 1 5

4 2

Chapter Wrap Up

You have learned ...



25 – 2 = ?

Method 1

Count back from 25.25, 24, 23

23 24 25

Method 2 Use a place-value chart.

Step 1 Subtract the ones.

Step 2 Subtract the tens.

35 – 17 = ?

Use a place-value chart.

Step 1 Regroup the tens and ones in 35. Subtract the ones.

Step 2 Subtract the tens.

Subtraction

Without Regrouping With Regrouping

Solve real-world problems.

Tens Ones

2 5– 2

2 3

Tens Ones2

3 15– 1 7

1 8

Whole numbers can be added and subtracted with and without regrouping.

BIG IDEA


2A

2A

My Math Path 1–8 brings together the proven Singapore Math approach with Canadian curriculum–aligned content. The series blends procedural and conceptual understanding to support student success and mathematical mastery. My Math Path 1–8 encourages students to think critically and persevere when solving problems using strategies that promote visualization. The purposeful lesson structure aims to boost student confidence and mathematical understanding, fostering positive attitudes toward math.

MY

MA

TH PA

TH 2

A

B

D

C

mmp2a_onsb_cover.indd All Pages 2019-09-23 8:43 AM

nelson.com@NELSONPK20

Documents

2A - Nelson...2A 2A My Math Path 1–8 brings together the proven Singapore Math approach with Canadian curriculum–aligned content. The series blends procedural and conceptual understanding