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Shapes and Transformations Exploration

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Shapes and Transformations Exploration

Shapes and Transformations Exploration

Geometric shapes and transformations illustration

📐 Part 1: Shape Recognition and Vocabulary

1. Circle the correct name for each shape:

Triangle (Tapatoru):

3 sides

4 sides

5 sides

2. Match the te reo Māori names with their English equivalents:
1. Tapatoru
2. Tapawhā rite
3. Porohita
A. Square
B. Circle
C. Triangle
3. Fill in the blanks about shape properties:

A triangle has _______ sides and _______ corners.

A square has _______ equal sides and _______ right angles.

A circle has _______ sides and _______ corners.

🔍 Part 2: Sorting and Classifying Shapes

4. Check all the shapes that have 4 sides:

Rectangle

Triangle

Square

Pentagon

Rhombus

5. Sort these polygons by writing their names in the correct category:

Regular Polygons (all sides equal): ________________________

Irregular Polygons (sides not all equal): ________________________

🪞 Part 3: Symmetry Exploration

6. Draw the line of symmetry on each shape:
7. Which of these shapes have rotational symmetry? (Check all that apply)

Square

Rectangle

Circle

Equilateral triangle

Scalene triangle

8. Complete the symmetric pattern:

🔄 Part 4: Transformations

9. Match each transformation with its description:
1. Reflection (Flip)
2. Translation (Slide)
3. Rotation (Turn)
A. Moving a shape to a new position
B. Turning a shape around a point
C. Creating a mirror image
10. Circle the transformation that has been applied:

Reflection

Translation

Rotation

11. Draw the shape after a 90° clockwise rotation:

📦 Part 5: 3D Shapes and Nets

12. Fill in the properties of 3D shapes:

A cube has _______ faces, _______ edges, and _______ vertices.

A rectangular prism has _______ faces, _______ edges, and _______ vertices.

A cylinder has _______ flat faces and _______ curved surface.

13. Which net would fold to make a cube?

Net A

Net B

Net C

All of them

14. Draw a simple net for a rectangular prism:

🔧 Part 6: Composing and Decomposing Shapes

15. How many triangles can you use to make a hexagon?
16. Check all the ways you can decompose a rectangle:

Two triangles

Four squares

Two smaller rectangles

One triangle and one quadrilateral

17. Draw how you can combine two identical triangles to make different shapes:

🌟 Part 7: Real-World Connections

18. Describe where you might see these transformations in everyday life:

Reflection: ________________________________________________

Rotation: ________________________________________________

Translation: ________________________________________________

19. Think about Māori art patterns (kōwhaiwhai). What types of symmetry and transformations do you notice?
20. Design your own pattern using at least two different transformations:

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