➡️ What is a Translation?
Translation means moving a shape by sliding it left, right, up, or down. The shape stays exactly the same — only its position changes.
It is like sliding a book across a table or moving a hockey puck on the ice.
📍 How to Describe a Translation
We describe a translation by saying:
- How many units to move **right/left** (x-direction)
- How many units to move **up/down** (y-direction)
Example:
Move the shape 4 units right and 2 units up
This is written as: (4, 2)
🗺️ Translations on a Coordinate Grid
Original Point: (2, 3)
Translate 5 units right and 1 unit up → New point: (7, 4)
Every point moves the same way!
✏️ Let’s Practice Together, My Dear Student!
Practice 1: Describe the Translation
1. A shape moves from (1,1) to (6,1) → 5 units right
2. A shape moves from (3,4) to (3,8) → 4 units up
3. A shape moves from (2,2) to (5,5) → 3 right and 3 up
Practice 2: Apply the Translation
1. Point (4,2) translated 3 units right and 2 units up → (7,4)
2. Point (1,5) translated 4 units left → (-3,5)
Practice 3: Word Problems (Canadian Style)
1. A hockey puck is at position (2,3) on the ice grid. It slides 6 units right. What is its new position?
(8,3)
2. You draw a triangle at (1,1), (1,4), (4,1). You translate it 5 units right. What are the new coordinates?
(6,1), (6,4), (9,1)
Challenge Question
If you translate a shape 4 units right and then 3 units left, what is the total translation?
1 unit right
Fantastic Job, My Dear Student! 🎉
You now understand Translations (slides) very well! This is one of the three main transformations in Grade 4.
I am so proud of you. Try sliding objects on your desk or drawing shapes and translating them on paper!
💕 You are smart. You are kind. You can do hard things.
When you are ready, tell me the next topic (Reflections, Rotations, or anything else) and I will create another beautiful lesson just for you!