Multi-Level Math Strategies

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📚 Y7 (L2-L3): Additive Strategies

WALT: Use additive strategies and represent thinking using place value

1. Solve 47 + 29 using compensation strategy. Show your working:

2. Calculate 83 - 27 using partitioning. Break down each number by place value:

3. Show 156 + 78 on a number line below:

4. Which strategy would be most efficient for 99 + 45?

Compensation (add 1 to 99, subtract 1 from answer)

Partitioning (break into tens and ones)

Counting on

WALT: Use arrays and area models, apply proportional reasoning

5. Draw an array to show 16 × 12. Then break it into smaller rectangles:

6. If 3 pencils cost $6, how much would 9 pencils cost? Show your proportional thinking:

7. Use an area model to calculate 24 × 15:

WALT: Order integers including negatives, apply place value to large/small numbers

8. Order these integers from smallest to largest: -8, 3, -12, 0, 5, -1

9. The temperature was 4°C at noon. It dropped 7°C by evening. What was the evening temperature?

10. Which statements about negative numbers are correct?

-5 is greater than -10

Negative numbers represent debt or temperatures below zero

-3 is closer to zero than -7

All negative numbers are smaller than positive numbers

11. Extension: Explain how you would help someone remember that -2 > -5: