Math Modeling and Measurement
🔢 Part 1: Fractions and Parts
1. Circle the shapes that show halves (2 equal parts):
A circle divided into 2 equal parts
A rectangle divided into 3 parts
A square divided into 2 equal parts
A triangle divided into 4 parts
2. Draw lines to show quarters (4 equal parts) in this rectangle:
3. If you have 8 counters and put them into 2 equal groups, how many counters are in each group?
4. Complete the fraction: One quarter is the same as _____ out of _____ equal parts.
📏 Part 2: Measuring with Uniform Units
5. Which uniform unit would be best for measuring the length of your desk?
Paper clips
Blocks
Cups
Marbles
6. Sarah measured her pencil with blocks. It was 6 blocks long. Tom measured the same pencil with paper clips. It was 12 paper clips long. Why are the numbers different?
7. Match the measuring tool with what it measures best:
1. Balance scales
2. Measuring cups
3. Rulers
A. Length
B. Mass (weight)
C. Capacity (how much liquid)
🔷 Part 3: 2D Shapes and Properties
8. Circle the words that describe a rectangle:
4 sides
Curved edges
Opposite sides are parallel
All sides are equal
Straight edges
9. Fill in the blanks using these words: parallel, opposite, curved, straight
A circle has _____________ edges, while a square has _____________ edges. In a rectangle, the _____________ sides are _____________ to each other.
10. Draw a shape that has 3 straight sides:
✖️ Part 4: Arrays and Equal Groups
11. Draw an array to show 3 rows of 4 dots:
12. Write two different number sentences for the array above:
Addition: _____ + _____ + _____ = _____
Multiplication: _____ × _____ = _____
13. Circle the arrays that show 12 objects:
2 rows of 6
3 rows of 4
4 rows of 2
5 rows of 3
14. If you arrange 15 counters into 3 equal groups, how many counters will be in each group?
🧩 Part 5: Problem Solving
15. Real-world Problem: Mum has 16 biscuits to share equally among 4 children. How many biscuits will each child get?
Show your thinking by drawing or using numbers:
Answer: Each child gets _____ biscuits.
16. Measurement Problem: Jake wants to measure how much water his water bottle holds. He uses small cups as his measuring unit. The bottle holds exactly 8 cups of water. His friend's bottle holds 6 cups. How many more cups does Jake's bottle hold?
17. Fraction Problem: A pizza is cut into 8 equal slices. If you eat 2 slices, what fraction of the pizza did you eat? What fraction is left?
🤔 Part 6: Reflection
18. Explain why it's important to use the same unit when measuring. Give an example:
19. How can understanding fractions help you in everyday life? Give one example:
20. What was the most interesting thing you learned about measurement and maths today?