Translating Shapes - Maths with Mum - Free Printable

Problem Description:

The task involves translating (moving) geometric shapes on a grid according to specific instructions. Each instruction specifies how many places to move the shape horizontally (left or right) and vertically (up or down). The goal is to apply these translations accurately.

Solution Approach:

1. Understand the Translation Instructions:
- "4 places left" means moving the shape 4 units to the left.
- "3 places up" means moving the shape 3 units upward.
- Similarly, "right" indicates movement to the right, and "down" indicates movement downward.

2. Apply Translations Step-by-Step:
- Identify the initial position of each shape on the grid.
- Follow the given translation instructions for each part (a) through (f).
- Mark the new position of the shape after applying the translation.

3. Visualize the Movement:
- Use the grid lines to ensure accuracy in counting the number of places moved horizontally and vertically.
- Ensure that the entire shape is translated uniformly without rotation or distortion.

Detailed Solutions for Each Part:

#### (a) 4 places left
- Initial Shape: A rectangle located at a specific position on the grid.
- Translation: Move the rectangle 4 places to the left.
- Result: The rectangle will be shifted entirely 4 units to the left, maintaining its orientation and size.

#### (b) 3 places up, 5 places left
- Initial Shape: Another rectangle.
- Translation:
- First, move the rectangle 5 places to the left.
- Then, move it 3 places upward.
- Result: The rectangle will be shifted 5 units to the left and 3 units up.

#### (c) 4 places left, 4 places up
- Initial Shape: A square.
- Translation:
- Move the square 4 places to the left.
- Then, move it 4 places upward.
- Result: The square will be shifted 4 units to the left and 4 units up.

#### (d) 5 places up, 3 places right
- Initial Shape: A rectangle.
- Translation:
- Move the rectangle 3 places to the right.
- Then, move it 5 places upward.
- Result: The rectangle will be shifted 3 units to the right and 5 units up.

#### (e) 1 place right, 3 places down
- Initial Shape: A triangle.
- Translation:
- Move the triangle 1 place to the right.
- Then, move it 3 places downward.
- Result: The triangle will be shifted 1 unit to the right and 3 units down.

#### (f) 6 places up, 2 places right
- Initial Shape: A triangle.
- Translation:
- Move the triangle 2 places to the right.
- Then, move it 6 places upward.
- Result: The triangle will be shifted 2 units to the right and 6 units up.

Final Answer:

The solutions involve visually translating each shape according to the given instructions. Since the problem requires graphical representation, the final answer is best conveyed by drawing the translated shapes on the grid. However, if a textual summary is needed:

\[
\boxed{
\text{
(a) Move 4 places left. \\
(b) Move 5 places left, then 3 places up. \\
(c) Move 4 places left, then 4 places up. \\
(d) Move 3 places right, then 5 places up. \\
(e) Move 1 place right, then 3 places down. \\
(f) Move 2 places right, then 6 places up.
}
}
\]

This summarizes the steps for each part. For a complete solution, the shapes should be redrawn on the grid according to these instructions.