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Measurement and Algebra Integration

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Measurement and Algebra Integration

Measurement and Algebra Integration

Ruler and measuring tape illustration

📏 Part 1: Measurement and Recording

1. Measure the following objects using a ruler or measuring tape. Record your measurements with the correct units.

a) Length of your pencil: _________ cm

b) Width of your desk: _________ cm

c) Height of your water bottle: _________ cm

d) Thickness of your maths book: _________ mm

2. Convert the following measurements:

a) 150 mm = _________ cm

b) 2.5 m = _________ cm

c) 85 cm = _________ mm

🔢 Part 2: Forming Simple Equations

3. Write an equation for each scenario and solve for the unknown length.

a) A table's length plus 25 cm equals 175 cm. What is the length of the table?

Equation: _________________

Answer: The table is _________ cm long.

b) A rope is cut so that one piece is 40 cm shorter than the original length. The remaining piece is 85 cm. What was the original length?

Equation: _________________

Answer: The original rope was _________ cm long.

4. Choose the correct equation for this scenario: "A pencil case and a ruler together measure 32 cm. The ruler is 18 cm long. How long is the pencil case?"

p + 18 = 32

p - 18 = 32

18p = 32

p ÷ 18 = 32

📊 Part 3: Patterns and Algebraic Rules

5. A pattern of blocks is being built. Complete the table showing the total length as blocks are added:

Each block is 4 cm long, and there's a 2 cm base.

Number of blocks (n) Total length (L) in cm
1 _______
2 _______
3 _______
5 _______
6. Write an algebraic rule for the pattern above:

L = _________________

7. Using your rule, predict the total length when there are 10 blocks:

🧮 Part 4: Two-Step Equation Challenge

8. A piece of string is cut into two parts. One part is 15 cm longer than the other. The total length of the string is 73 cm. Find the length of each part.

Let x = length of the shorter part

Then the longer part = _________________

Equation: _________________

Shorter part: _________ cm

Longer part: _________ cm

9. Three identical books are stacked with a 5 cm thick folder on top. The total height is 26 cm. How thick is each book?

Let b = thickness of each book

Equation: _________________

Each book is _________ cm thick.

🎯 Part 5: Real-World Applications

10. Match each measurement scenario with the correct algebraic equation:
1. A garden bed is 3 times as long as it is wide. The length is 12 metres.
2. A fence post plus 80 cm of wire equals 2 metres total.
3. Two identical shelves plus a 20 cm gap equal 140 cm.
A. 2s + 20 = 140
B. 3w = 12
C. p + 80 = 200
11. Which units would be most appropriate for measuring each item? Check all that apply:

Height of a classroom:

millimetres

centimetres

metres

kilometres

Thickness of a coin:

millimetres

centimetres

metres

kilometres

💭 Part 6: Reflection

12. Explain how you would set up an equation to solve this problem:

"A rectangular playground has a perimeter of 80 metres. The length is 10 metres more than the width. Find the dimensions."

13. What is one thing you learned today about connecting measurement and algebra?

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