This worksheet challenges students to translate shapes across a grid based on written instructions like '4 right and 2 up'.

Problem Description:

The task involves translating (moving) each shape on a grid by the specified amount. Each translation is described as moving a certain number of units right/left and up/down. The goal is to apply these translations accurately to each shape.

Solution Approach:

1. Understand the Translation Directions:
- Right: Move the shape horizontally to the right.
- Left: Move the shape horizontally to the left.
- Up: Move the shape vertically upwards.
- Down: Move the shape vertically downwards.

2. Apply Translations Step-by-Step:
- For each shape, identify its current position on the grid.
- Apply the specified horizontal (right/left) and vertical (up/down) movements.
- Draw the translated shape in its new position.

3. Verify the Results:
- Ensure that the number of units moved matches the instructions.
- Check that the orientation of the shape remains unchanged (translations do not rotate or flip shapes).

Detailed Solutions for Each Shape:

#### 1. 4 right and 2 up
- Original shape: Green square.
- Move 4 units to the right and 2 units up.
- New position: The green square is shifted 4 units right and 2 units up.

#### 2. 3 right and 4 down
- Original shape: Blue rectangle.
- Move 3 units to the right and 4 units down.
- New position: The blue rectangle is shifted 3 units right and 4 units down.

#### 3. 2 left and 3 up
- Original shape: Yellow rectangle.
- Move 2 units to the left and 3 units up.
- New position: The yellow rectangle is shifted 2 units left and 3 units up.

#### 4. 5 right and 4 down
- Original shape: Purple rectangle.
- Move 5 units to the right and 4 units down.
- New position: The purple rectangle is shifted 5 units right and 4 units down.

#### 5. 5 left and 4 up
- Original shape: Pink rectangle.
- Move 5 units to the left and 4 units up.
- New position: The pink rectangle is shifted 5 units left and 4 units up.

#### 6. 2 right and 4 down
- Original shape: Orange rectangle.
- Move 2 units to the right and 4 units down.
- New position: The orange rectangle is shifted 2 units right and 4 units down.

#### 7. 2 right and 2 up
- Original shape: Red square.
- Move 2 units to the right and 2 units up.
- New position: The red square is shifted 2 units right and 2 units up.

#### 8. 3 left and 3 up
- Original shape: Brown rectangle.
- Move 3 units to the left and 3 units up.
- New position: The brown rectangle is shifted 3 units left and 3 units up.

#### 9. 5 left and 5 down
- Original shape: Green rectangle.
- Move 5 units to the left and 5 units down.
- New position: The green rectangle is shifted 5 units left and 5 units down.

#### 10. 3 left and 2 up
- Original shape: Blue rectangle.
- Move 3 units to the left and 2 units up.
- New position: The blue rectangle is shifted 3 units left and 2 units up.

#### 11. 2 left and 6 up
- Original shape: Red rectangle.
- Move 2 units to the left and 6 units up.
- New position: The red rectangle is shifted 2 units left and 6 units up.

#### 12. 2 down and 5 left
- Original shape: Yellow rectangle.
- Move 2 units down and 5 units to the left.
- New position: The yellow rectangle is shifted 2 units down and 5 units left.

#### 13. 4 right and 2 down
- Original shape: Cyan rectangle.
- Move 4 units to the right and 2 units down.
- New position: The cyan rectangle is shifted 4 units right and 2 units down.

#### 14. 3 right and 4 up
- Original shape: Purple rectangle.
- Move 3 units to the right and 4 units up.
- New position: The purple rectangle is shifted 3 units right and 4 units up.

#### 15. 3 right and 4 down
- Original shape: Yellow rectangle.
- Move 3 units to the right and 4 units down.
- New position: The yellow rectangle is shifted 3 units right and 4 units down.

#### 16. 1 left and 5 up
- Original shape: Pink rectangle.
- Move 1 unit to the left and 5 units up.
- New position: The pink rectangle is shifted 1 unit left and 5 units up.

Final Answer:

Each shape has been translated according to the specified directions. The new positions are as described above.

\boxed{\text{Translations applied as described.}}