MATH • LESSON 1

Your thinking

is the math

Math identity & strategy baseline

One number. Many valid ways to see it, build it, solve it and explain it.

24

NUMBER SENSE & FLUENCY

02

Today we will make our thinking visible

I can show how I think about a number and explain one strategy.

NOTICE

Look closely

Say what you see and what you wonder.

BUILD

Show the number

Use objects, a drawing or symbols.

EXPLAIN

Share a strategy

Tell why it works and how you checked.

NUMBER SENSE & FLUENCY

03

Quick choice: where do you stand?

“Being good at math means being fast.”

DISAGREE

NOT SURE

AGREE

Choose a place. Be ready to explain your reason—or change your mind.

NUMBER TALK

What do you notice about 24?

24

Think quietly first.

• What numbers are hiding inside it?

• What patterns do you see?

• How could you build it?

• Where have you seen 24 before?

There is more than one good answer.

04

NUMBER SENSE & FLUENCY

05

One number can wear many forms

PLACE VALUE

2 tens + 4 ones

ADDITION

12 + 12 = 24

MULTIPLICATION

6 × 4 = 24

SUBTRACTION

30 − 6 = 24

NUMBER SENSE & FLUENCY

06

Twenty-four shows up in everyday life

24 HOURS

One complete day

2 DOZEN

24 eggs, beads or baked items

4 PACKS OF 6

24 drinks or supplies

3 GROUPS OF 8

24 students, items or kilometres

NUMBER TALK CHALLENGE

07

How many different ways can we make 24?

Use at least two different operations.

20 + 4

12 + 12

6 × 4

48 ÷ 2

Can you create a fifth way?

NUMBER SENSE & FLUENCY

08

Strong math talks make the strategy clear

I noticed…

a pattern, relationship or helpful number.

I represented…

the number with objects, a drawing or symbols.

I chose…

this strategy because it made the problem easier.

I checked…

by using another representation or operation.

NUMBER SENSE & FLUENCY

09

Different numbers—same five thinking habits

Your challenge may look different from someone else’s. The goal is the same: show your thinking.

✓

Estimate

About how large?

✓

Represent

Build, draw or write

✓

Calculate

Use a strategy

✓

Explain

Tell why

✓

Check

Prove it another way

DIFFERENTIATED PRACTICE

10

Your assigned challenge: Set A

Use the tools your teacher provides. Work carefully and show one strategy.

CHALLENGE 1

20 / 50

• Build and count a quantity.

• Match the numeral, set and ten-frame.

• Show one more and one less.

CHALLENGE 2

124

• Build or draw the number.

• Read it aloud.

• Show 10 more and 10 less.

• Solve one addition mentally.

CHALLENGE 3

1,204 ↔ 1,240

• Represent and compare both numbers.

• Explain the value of one digit.

• Solve one fact family.

DIFFERENTIATED PRACTICE

11

Your assigned challenge: Set B

Choose an efficient representation, justify your strategy and check the result.

CHALLENGE 4

2 WAYS

• Represent a whole number, decimal or fraction.

• Estimate first.

• Solve one multi-digit operation.

CHALLENGE 5

JUSTIFY

• Complete an integer, decimal or order-of-operations pre-check.

• Explain why your strategy works.

CHALLENGE 6

+ / − RATIONAL

• Show each number in two forms.

• Solve one multi-step expression.

• Justify each step and check.

TOOLS FOR THINKING

12

Choose the tool that helps you show the math

Tools are not shortcuts. They make ideas visible.

BUILD IT

Counters • blocks • ten-frames

DRAW IT

Diagram • number line • place-value sketch

WRITE IT

Numbers • equations • labels

SAY OR POINT

Explain aloud • point to evidence • use a sentence frame

EXIT EVIDENCE

Show what your thinking looks like

1

REPRESENT

Show one number in a way that makes sense to you.

2

EXPLAIN

Tell or write one strategy you used.

3

CHECK

Show how you know your answer or representation is reasonable.

Your thinking matters more than speed.

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