Chapter 50: Composing and Decomposing Shapes
Learn Grade 2 mathematics with very-beginner explanations, original worked examples, practice, reasoning, and review.
Chapter Overview
This chapter teaches Composing and Decomposing Shapes with simple explanations, visual thinking, worked examples, practice, and review.
50.1 Joining two shapes
Spatial sense describes shapes and objects using their attributes, parts, positions, and different views. Use objects, drawings, number lines, tables, or number sentences when useful.
10 Worked Examples with Answers
Worked Example 1
Problem: Use 13 and 4 to make a simple example about Joining two shapes.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Joining two shapes.
Worked Example 2
Problem: Use 7 and 15 to make a simple example about Joining two shapes.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Joining two shapes.
Worked Example 3
Problem: Use 5 and 18 to make a simple example about Joining two shapes.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Joining two shapes.
Worked Example 4
Problem: Use 1 and 11 to make a simple example about Joining two shapes.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Joining two shapes.
Worked Example 5
Problem: Use 4 and 18 to make a simple example about Joining two shapes.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Joining two shapes.
Worked Example 6
Problem: Use 7 and 6 to make a simple example about Joining two shapes.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Joining two shapes.
Worked Example 7
Problem: Use 13 and 15 to make a simple example about Joining two shapes.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Joining two shapes.
Worked Example 8
Problem: Use 1 and 4 to make a simple example about Joining two shapes.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Joining two shapes.
Worked Example 9
Problem: Use 9 and 4 to make a simple example about Joining two shapes.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Joining two shapes.
Worked Example 10
Problem: Use 18 and 14 to make a simple example about Joining two shapes.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Joining two shapes.
50.2 Making a rectangle from smaller shapes
Spatial sense describes shapes and objects using their attributes, parts, positions, and different views. Use objects, drawings, number lines, tables, or number sentences when useful.
10 Worked Examples with Answers
Worked Example 1
Problem: Use 4 and 11 to make a simple example about Making a rectangle from smaller shapes.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Making a rectangle from smaller shapes.
Worked Example 2
Problem: Use 9 and 2 to make a simple example about Making a rectangle from smaller shapes.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Making a rectangle from smaller shapes.
Worked Example 3
Problem: Use 1 and 2 to make a simple example about Making a rectangle from smaller shapes.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Making a rectangle from smaller shapes.
Worked Example 4
Problem: Use 1 and 20 to make a simple example about Making a rectangle from smaller shapes.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Making a rectangle from smaller shapes.
Worked Example 5
Problem: Use 2 and 9 to make a simple example about Making a rectangle from smaller shapes.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Making a rectangle from smaller shapes.
Worked Example 6
Problem: Use 20 and 2 to make a simple example about Making a rectangle from smaller shapes.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Making a rectangle from smaller shapes.
Worked Example 7
Problem: Use 9 and 10 to make a simple example about Making a rectangle from smaller shapes.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Making a rectangle from smaller shapes.
Worked Example 8
Problem: Use 12 and 13 to make a simple example about Making a rectangle from smaller shapes.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Making a rectangle from smaller shapes.
Worked Example 9
Problem: Use 6 and 6 to make a simple example about Making a rectangle from smaller shapes.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Making a rectangle from smaller shapes.
Worked Example 10
Problem: Use 6 and 5 to make a simple example about Making a rectangle from smaller shapes.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Making a rectangle from smaller shapes.
50.3 Making a larger triangle
Spatial sense describes shapes and objects using their attributes, parts, positions, and different views. Use objects, drawings, number lines, tables, or number sentences when useful.
10 Worked Examples with Answers
Worked Example 1
Problem: Use 4 and 3 to make a simple example about Making a larger triangle.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Making a larger triangle.
Worked Example 2
Problem: Use 19 and 6 to make a simple example about Making a larger triangle.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Making a larger triangle.
Worked Example 3
Problem: Use 10 and 15 to make a simple example about Making a larger triangle.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Making a larger triangle.
Worked Example 4
Problem: Use 16 and 8 to make a simple example about Making a larger triangle.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Making a larger triangle.
Worked Example 5
Problem: Use 13 and 6 to make a simple example about Making a larger triangle.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Making a larger triangle.
Worked Example 6
Problem: Use 18 and 16 to make a simple example about Making a larger triangle.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Making a larger triangle.
Worked Example 7
Problem: Use 17 and 7 to make a simple example about Making a larger triangle.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Making a larger triangle.
Worked Example 8
Problem: Use 10 and 2 to make a simple example about Making a larger triangle.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Making a larger triangle.
Worked Example 9
Problem: Use 18 and 15 to make a simple example about Making a larger triangle.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Making a larger triangle.
Worked Example 10
Problem: Use 7 and 19 to make a simple example about Making a larger triangle.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Making a larger triangle.
50.4 Breaking a shape into parts
Spatial sense describes shapes and objects using their attributes, parts, positions, and different views. Use objects, drawings, number lines, tables, or number sentences when useful.
10 Worked Examples with Answers
Worked Example 1
Problem: Use 3 and 11 to make a simple example about Breaking a shape into parts.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Breaking a shape into parts.
Worked Example 2
Problem: Use 3 and 10 to make a simple example about Breaking a shape into parts.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Breaking a shape into parts.
Worked Example 3
Problem: Use 14 and 13 to make a simple example about Breaking a shape into parts.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Breaking a shape into parts.
Worked Example 4
Problem: Use 8 and 1 to make a simple example about Breaking a shape into parts.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Breaking a shape into parts.
Worked Example 5
Problem: Use 4 and 19 to make a simple example about Breaking a shape into parts.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Breaking a shape into parts.
Worked Example 6
Problem: Use 2 and 3 to make a simple example about Breaking a shape into parts.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Breaking a shape into parts.
Worked Example 7
Problem: Use 10 and 14 to make a simple example about Breaking a shape into parts.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Breaking a shape into parts.
Worked Example 8
Problem: Use 5 and 12 to make a simple example about Breaking a shape into parts.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Breaking a shape into parts.
Worked Example 9
Problem: Use 12 and 18 to make a simple example about Breaking a shape into parts.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Breaking a shape into parts.
Worked Example 10
Problem: Use 15 and 8 to make a simple example about Breaking a shape into parts.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Breaking a shape into parts.
50.5 Different ways to compose the same shape
Spatial sense describes shapes and objects using their attributes, parts, positions, and different views. Use objects, drawings, number lines, tables, or number sentences when useful.
10 Worked Examples with Answers
Worked Example 1
Problem: Use 14 and 4 to make a simple example about Different ways to compose the same shape.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Different ways to compose the same shape.
Worked Example 2
Problem: Use 14 and 11 to make a simple example about Different ways to compose the same shape.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Different ways to compose the same shape.
Worked Example 3
Problem: Use 2 and 20 to make a simple example about Different ways to compose the same shape.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Different ways to compose the same shape.
Worked Example 4
Problem: Use 12 and 3 to make a simple example about Different ways to compose the same shape.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Different ways to compose the same shape.
Worked Example 5
Problem: Use 14 and 11 to make a simple example about Different ways to compose the same shape.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Different ways to compose the same shape.
Worked Example 6
Problem: Use 3 and 19 to make a simple example about Different ways to compose the same shape.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Different ways to compose the same shape.
Worked Example 7
Problem: Use 12 and 7 to make a simple example about Different ways to compose the same shape.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Different ways to compose the same shape.
Worked Example 8
Problem: Use 18 and 5 to make a simple example about Different ways to compose the same shape.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Different ways to compose the same shape.
Worked Example 9
Problem: Use 6 and 18 to make a simple example about Different ways to compose the same shape.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Different ways to compose the same shape.
Worked Example 10
Problem: Use 19 and 19 to make a simple example about Different ways to compose the same shape.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Different ways to compose the same shape.
50.6 Tangram-style arrangements
Tangram-style arrangements is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words. Use objects, drawings, number lines, tables, or number sentences when useful.
10 Worked Examples with Answers
Worked Example 1
Problem: Use 10 and 9 to make a simple example about Tangram-style arrangements.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Tangram-style arrangements.
Worked Example 2
Problem: Use 4 and 14 to make a simple example about Tangram-style arrangements.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Tangram-style arrangements.
Worked Example 3
Problem: Use 7 and 16 to make a simple example about Tangram-style arrangements.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Tangram-style arrangements.
Worked Example 4
Problem: Use 4 and 18 to make a simple example about Tangram-style arrangements.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Tangram-style arrangements.
Worked Example 5
Problem: Use 15 and 9 to make a simple example about Tangram-style arrangements.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Tangram-style arrangements.
Worked Example 6
Problem: Use 10 and 13 to make a simple example about Tangram-style arrangements.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Tangram-style arrangements.
Worked Example 7
Problem: Use 10 and 11 to make a simple example about Tangram-style arrangements.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Tangram-style arrangements.
Worked Example 8
Problem: Use 6 and 14 to make a simple example about Tangram-style arrangements.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Tangram-style arrangements.
Worked Example 9
Problem: Use 18 and 5 to make a simple example about Tangram-style arrangements.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Tangram-style arrangements.
Worked Example 10
Problem: Use 20 and 16 to make a simple example about Tangram-style arrangements.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Tangram-style arrangements.
50.7 Composing 3D structures
Composing 3D structures is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words. Use objects, drawings, number lines, tables, or number sentences when useful.
10 Worked Examples with Answers
Worked Example 1
Problem: Use 20 and 1 to make a simple example about Composing 3D structures.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Composing 3D structures.
Worked Example 2
Problem: Use 9 and 14 to make a simple example about Composing 3D structures.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Composing 3D structures.
Worked Example 3
Problem: Use 18 and 14 to make a simple example about Composing 3D structures.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Composing 3D structures.
Worked Example 4
Problem: Use 5 and 4 to make a simple example about Composing 3D structures.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Composing 3D structures.
Worked Example 5
Problem: Use 11 and 5 to make a simple example about Composing 3D structures.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Composing 3D structures.
Worked Example 6
Problem: Use 6 and 9 to make a simple example about Composing 3D structures.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Composing 3D structures.
Worked Example 7
Problem: Use 14 and 2 to make a simple example about Composing 3D structures.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Composing 3D structures.
Worked Example 8
Problem: Use 12 and 15 to make a simple example about Composing 3D structures.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Composing 3D structures.
Worked Example 9
Problem: Use 10 and 20 to make a simple example about Composing 3D structures.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Composing 3D structures.
Worked Example 10
Problem: Use 3 and 14 to make a simple example about Composing 3D structures.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Composing 3D structures.
50.8 Taking 3D structures apart
Taking 3D structures apart is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words. Use objects, drawings, number lines, tables, or number sentences when useful.
10 Worked Examples with Answers
Worked Example 1
Problem: Use 13 and 13 to make a simple example about Taking 3D structures apart.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Taking 3D structures apart.
Worked Example 2
Problem: Use 5 and 14 to make a simple example about Taking 3D structures apart.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Taking 3D structures apart.
Worked Example 3
Problem: Use 19 and 4 to make a simple example about Taking 3D structures apart.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Taking 3D structures apart.
Worked Example 4
Problem: Use 1 and 7 to make a simple example about Taking 3D structures apart.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Taking 3D structures apart.
Worked Example 5
Problem: Use 11 and 20 to make a simple example about Taking 3D structures apart.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Taking 3D structures apart.
Worked Example 6
Problem: Use 16 and 7 to make a simple example about Taking 3D structures apart.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Taking 3D structures apart.
Worked Example 7
Problem: Use 18 and 4 to make a simple example about Taking 3D structures apart.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Taking 3D structures apart.
Worked Example 8
Problem: Use 1 and 4 to make a simple example about Taking 3D structures apart.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Taking 3D structures apart.
Worked Example 9
Problem: Use 8 and 10 to make a simple example about Taking 3D structures apart.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Taking 3D structures apart.
Worked Example 10
Problem: Use 13 and 10 to make a simple example about Taking 3D structures apart.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Taking 3D structures apart.
50.9 Visualizing hidden parts
Visualizing hidden parts is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words. Use objects, drawings, number lines, tables, or number sentences when useful.
10 Worked Examples with Answers
Worked Example 1
Problem: Use 3 and 17 to make a simple example about Visualizing hidden parts.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Visualizing hidden parts.
Worked Example 2
Problem: Use 12 and 9 to make a simple example about Visualizing hidden parts.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Visualizing hidden parts.
Worked Example 3
Problem: Use 3 and 19 to make a simple example about Visualizing hidden parts.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Visualizing hidden parts.
Worked Example 4
Problem: Use 19 and 6 to make a simple example about Visualizing hidden parts.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Visualizing hidden parts.
Worked Example 5
Problem: Use 7 and 12 to make a simple example about Visualizing hidden parts.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Visualizing hidden parts.
Worked Example 6
Problem: Use 20 and 5 to make a simple example about Visualizing hidden parts.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Visualizing hidden parts.
Worked Example 7
Problem: Use 4 and 11 to make a simple example about Visualizing hidden parts.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Visualizing hidden parts.
Worked Example 8
Problem: Use 12 and 20 to make a simple example about Visualizing hidden parts.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Visualizing hidden parts.
Worked Example 9
Problem: Use 19 and 11 to make a simple example about Visualizing hidden parts.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Visualizing hidden parts.
Worked Example 10
Problem: Use 2 and 1 to make a simple example about Visualizing hidden parts.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Visualizing hidden parts.
50.10 Rotating a composed shape
Spatial sense describes shapes and objects using their attributes, parts, positions, and different views. Use objects, drawings, number lines, tables, or number sentences when useful.
10 Worked Examples with Answers
Worked Example 1
Problem: Use 4 and 3 to make a simple example about Rotating a composed shape.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Rotating a composed shape.
Worked Example 2
Problem: Use 7 and 2 to make a simple example about Rotating a composed shape.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Rotating a composed shape.
Worked Example 3
Problem: Use 12 and 8 to make a simple example about Rotating a composed shape.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Rotating a composed shape.
Worked Example 4
Problem: Use 6 and 14 to make a simple example about Rotating a composed shape.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Rotating a composed shape.
Worked Example 5
Problem: Use 17 and 9 to make a simple example about Rotating a composed shape.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Rotating a composed shape.
Worked Example 6
Problem: Use 15 and 8 to make a simple example about Rotating a composed shape.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Rotating a composed shape.
Worked Example 7
Problem: Use 2 and 11 to make a simple example about Rotating a composed shape.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Rotating a composed shape.
Worked Example 8
Problem: Use 16 and 14 to make a simple example about Rotating a composed shape.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Rotating a composed shape.
Worked Example 9
Problem: Use 8 and 14 to make a simple example about Rotating a composed shape.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Rotating a composed shape.
Worked Example 10
Problem: Use 7 and 18 to make a simple example about Rotating a composed shape.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Rotating a composed shape.
50.11 Explaining how parts make a whole
Explaining how parts make a whole is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words. Use objects, drawings, number lines, tables, or number sentences when useful.
10 Worked Examples with Answers
Worked Example 1
Problem: Use 9 and 17 to make a simple example about Explaining how parts make a whole.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Explaining how parts make a whole.
Worked Example 2
Problem: Use 17 and 8 to make a simple example about Explaining how parts make a whole.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Explaining how parts make a whole.
Worked Example 3
Problem: Use 6 and 19 to make a simple example about Explaining how parts make a whole.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Explaining how parts make a whole.
Worked Example 4
Problem: Use 9 and 7 to make a simple example about Explaining how parts make a whole.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Explaining how parts make a whole.
Worked Example 5
Problem: Use 8 and 14 to make a simple example about Explaining how parts make a whole.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Explaining how parts make a whole.
Worked Example 6
Problem: Use 5 and 9 to make a simple example about Explaining how parts make a whole.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Explaining how parts make a whole.
Worked Example 7
Problem: Use 19 and 17 to make a simple example about Explaining how parts make a whole.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Explaining how parts make a whole.
Worked Example 8
Problem: Use 5 and 17 to make a simple example about Explaining how parts make a whole.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Explaining how parts make a whole.
Worked Example 9
Problem: Use 10 and 16 to make a simple example about Explaining how parts make a whole.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Explaining how parts make a whole.
Worked Example 10
Problem: Use 14 and 7 to make a simple example about Explaining how parts make a whole.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Explaining how parts make a whole.
50.12 Shape puzzles
Spatial sense describes shapes and objects using their attributes, parts, positions, and different views. Use objects, drawings, number lines, tables, or number sentences when useful.
10 Worked Examples with Answers
Worked Example 1
Problem: Use 1 and 10 to make a simple example about Shape puzzles.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Shape puzzles.
Worked Example 2
Problem: Use 1 and 4 to make a simple example about Shape puzzles.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Shape puzzles.
Worked Example 3
Problem: Use 11 and 3 to make a simple example about Shape puzzles.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Shape puzzles.
Worked Example 4
Problem: Use 13 and 1 to make a simple example about Shape puzzles.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Shape puzzles.
Worked Example 5
Problem: Use 15 and 7 to make a simple example about Shape puzzles.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Shape puzzles.
Worked Example 6
Problem: Use 3 and 1 to make a simple example about Shape puzzles.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Shape puzzles.
Worked Example 7
Problem: Use 16 and 12 to make a simple example about Shape puzzles.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Shape puzzles.
Worked Example 8
Problem: Use 9 and 19 to make a simple example about Shape puzzles.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Shape puzzles.
Worked Example 9
Problem: Use 16 and 8 to make a simple example about Shape puzzles.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Shape puzzles.
Worked Example 10
Problem: Use 7 and 6 to make a simple example about Shape puzzles.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Shape puzzles.
30 Review Questions and Answers
Q1. What should a Grade 2 learner understand about Joining two shapes?
Answer: Spatial sense describes shapes and objects using their attributes, parts, positions, and different views.
Q2. What should a Grade 2 learner understand about Making a rectangle from smaller shapes?
Answer: Spatial sense describes shapes and objects using their attributes, parts, positions, and different views.
Q3. What should a Grade 2 learner understand about Making a larger triangle?
Answer: Spatial sense describes shapes and objects using their attributes, parts, positions, and different views.
Q4. What should a Grade 2 learner understand about Breaking a shape into parts?
Answer: Spatial sense describes shapes and objects using their attributes, parts, positions, and different views.
Q5. What should a Grade 2 learner understand about Different ways to compose the same shape?
Answer: Spatial sense describes shapes and objects using their attributes, parts, positions, and different views.
Q6. What should a Grade 2 learner understand about Tangram-style arrangements?
Answer: Tangram-style arrangements is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.
Q7. What should a Grade 2 learner understand about Composing 3D structures?
Answer: Composing 3D structures is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.
Q8. What should a Grade 2 learner understand about Taking 3D structures apart?
Answer: Taking 3D structures apart is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.
Q9. What should a Grade 2 learner understand about Visualizing hidden parts?
Answer: Visualizing hidden parts is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.
Q10. What should a Grade 2 learner understand about Rotating a composed shape?
Answer: Spatial sense describes shapes and objects using their attributes, parts, positions, and different views.
Q11. What should a Grade 2 learner understand about Explaining how parts make a whole?
Answer: Explaining how parts make a whole is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.
Q12. What should a Grade 2 learner understand about Shape puzzles?
Answer: Spatial sense describes shapes and objects using their attributes, parts, positions, and different views.
Q13. What should a Grade 2 learner understand about Joining two shapes?
Answer: Spatial sense describes shapes and objects using their attributes, parts, positions, and different views.
Q14. What should a Grade 2 learner understand about Making a rectangle from smaller shapes?
Answer: Spatial sense describes shapes and objects using their attributes, parts, positions, and different views.
Q15. What should a Grade 2 learner understand about Making a larger triangle?
Answer: Spatial sense describes shapes and objects using their attributes, parts, positions, and different views.
Q16. What should a Grade 2 learner understand about Breaking a shape into parts?
Answer: Spatial sense describes shapes and objects using their attributes, parts, positions, and different views.
Q17. What should a Grade 2 learner understand about Different ways to compose the same shape?
Answer: Spatial sense describes shapes and objects using their attributes, parts, positions, and different views.
Q18. What should a Grade 2 learner understand about Tangram-style arrangements?
Answer: Tangram-style arrangements is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.
Q19. What should a Grade 2 learner understand about Composing 3D structures?
Answer: Composing 3D structures is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.
Q20. What should a Grade 2 learner understand about Taking 3D structures apart?
Answer: Taking 3D structures apart is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.
Q21. What should a Grade 2 learner understand about Visualizing hidden parts?
Answer: Visualizing hidden parts is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.
Q22. What should a Grade 2 learner understand about Rotating a composed shape?
Answer: Spatial sense describes shapes and objects using their attributes, parts, positions, and different views.
Q23. What should a Grade 2 learner understand about Explaining how parts make a whole?
Answer: Explaining how parts make a whole is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.
Q24. What should a Grade 2 learner understand about Shape puzzles?
Answer: Spatial sense describes shapes and objects using their attributes, parts, positions, and different views.
Q25. What should a Grade 2 learner understand about Joining two shapes?
Answer: Spatial sense describes shapes and objects using their attributes, parts, positions, and different views.
Q26. What should a Grade 2 learner understand about Making a rectangle from smaller shapes?
Answer: Spatial sense describes shapes and objects using their attributes, parts, positions, and different views.
Q27. What should a Grade 2 learner understand about Making a larger triangle?
Answer: Spatial sense describes shapes and objects using their attributes, parts, positions, and different views.
Q28. What should a Grade 2 learner understand about Breaking a shape into parts?
Answer: Spatial sense describes shapes and objects using their attributes, parts, positions, and different views.
Q29. What should a Grade 2 learner understand about Different ways to compose the same shape?
Answer: Spatial sense describes shapes and objects using their attributes, parts, positions, and different views.
Q30. What should a Grade 2 learner understand about Tangram-style arrangements?
Answer: Tangram-style arrangements is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.