Slide Squad Teacher Guide Slide Squad
Teacher Facilitation Guide
Topic
Translations
Learning Objectives
• Identify a translation as a "slide" where size and shape remain the same.
• Translate points and polygons on a coordinate plane using step-by-step directions.
• Apply and write translation rules in $(x, y) \to (x+a, y+b)$ notation.
Key Vocabulary
Translation (Slide)
Pre-Image (Start)
Image (End)
Rigid Motion
Instructional Pacing
10 min
The "Discovery" Phase
Distribute the Slide Squad Worksheet . Instead of asking for similarities, have students trace the first triangle and physically slide it over the second. Ask: "Did it change size? Did it turn?"
20 min
Step-by-Step Slides
Work through Question 2 together. Use the "Point-by-Point" method: Move vertex A, then B, then C. Show students that Left/Right changes $x$ and Up/Down changes $y$.
Teacher Tip: Use colored pencils. One color for the "Slide Right" and another for the "Slide Up".
15 min
Writing the Rule
Introduce the notation $(x, y) \to (x+a, y+b)$. Connect "Right 7" to "$+7$" and "Down 5" to "$-5$". Refer back to the Anchor Chart .
Differentiation Strategies
For Struggling Learners
Use patty paper (tracing paper) to physically move the shapes before drawing.
Limit work to Quadrant I to avoid negative number confusion.
Provide a checklist: "1. Move Right 2. Move Up 3. Mark New Point."
For Advanced Learners
Challenge them to write a single rule for a sequence of two different translations.
Ask: "If I move a shape $(+3, -2)$ and then $(-3, +2)$, where does it end up?"
Connect to real-world vectors (navigation/coding).
Bundle Checklist
Worksheet
Anchor Chart
Vocab Cards
Slide Squad Reference Sheet Slide Squad: Geometry Reference Sheet
Topic: Geometric Translations (Slides)
1. What is a Translation?
A translation (often called a "slide") is a type of rigid motion that moves every point of a figure the same distance and in the same direction.
Pre-Image: The original shape (labeled A, B, C).Image: The new shape after the slide (labeled A', B', C' with "prime" marks).Rigid Motion: The shape stays the same size and same shape. It does not rotate or flip.
2. The Coordinate Rule
To move a point mathematically, we use a rule that looks like this:
(x, y) → (x + a, y + b)
Where "a" is the horizontal shift and "b" is the vertical shift.
3. Direction Guide
Direction Math Action Example Slide Right Add to X (x + 5, y) Slide Left Subtract from X (x - 3, y) Slide Up Add to Y (x, y + 2) Slide Down Subtract from Y (x, y - 4)
4. Key Properties to Remember
Congruence: The pre-image and image are congruent (identical in size and shape).
Orientation: The shape's orientation does not change. If the triangle was pointing up before, it is still pointing up after the translation.
Parallelism: The segments connecting the corresponding vertices are parallel and equal in length.
Slide Mastery Worksheet Slide Mastery
Geometry: Introduction to Translations
Name:
Date:
1
The Discovery
Look at the two triangles on the grid. Are they related?
Are they the same size ?
Are they the same shape ?
How would you describe the move?
2
The Guided Slide
Move Triangle ABC LEFT 4 and UP 2.
Step 1: Write Current Points
A: (-2, 4)
B: (4, 6)
C: (2, -2)
Step 2: Calculate New Points
Subtract 4 from X, Add 2 to Y
A' (-2 - 4, 4 + 2)
B' (4 - 4, 6 + 2)
C' (2 - 4, -2 + 2)
A B C
Graph A', B', and C' above!
3
The Shortcut
How did the top shape move to the bottom position?
Be specific!
Move
units
AND
units
The Rule Notation:
(x, y) → (x ____, y ____)
Quick Notes
Definition
A translation is a ________________ that moves every point of a shape the same ________________ and in the same ________________.
Shape Properties
The shape does NOT change ______________ or ______________. This is called a Rigid Motion .
The Coordinate Rule Guide:
Right 5 → (x + 5)
Left 3 → (x - 3)
Up 2 → (y + 2)
Down 4 → (y - 4)
Flip over for "Check Your Understanding" Practice!
Slide Practice Worksheet Slide Practice
Check Your Understanding
1
Apply the Rule: (x, y) → (x + 7, y - 5)
B R E A D
Calculate the NEW coordinates (Image):
B (-3, 1) → B' ( __ , __ )
R (-1, 2) → R' ( __ , __ )
E (2, 1) → E' ( __ , __ )
A (1, -2) → A' ( __ , __ )
D (-2, -3)→ D' ( __ , __ )
2
Find the Rule: How did the shape move?
Case A
Pre Img
Direction:
Move Right: Down:
Rule: (x, y) → (x ____, y ____)
Case B
Wait! Is this a translation?
Yes
No
Why/Why not? _________________________
3
The Coordinate Challenge
Shape FISH has a vertex at H (-2, -3) .H' (3, -7) .
Part A: The X-Move
From -2 to 3.
Change: __________
Part B: The Y-Move
From -3 to -7.
Change: __________
Part C: The Rule
(x, y) →
( ____ , ____ )
Slide Squad Flashcards Slide Squad Vocabulary
Cut along the dotted lines to create your study deck!
Geometry Term
Translation
A "Slide"
Moving a shape in any direction without turning it or changing its size.
Geometry Term
Pre-Image
The Start
The original shape before any movement happens. Usually labeled A, B, C.
Geometry Term
Image
The Result
The new shape after the move. Labeled with "Prime" marks like A', B', C'.
Geometry Term
Rigid Motion
No Stretching!
A movement that keeps the shape's size and angles exactly the same.
Geometry Term
Coordinate Rule
(x, y) → (x + a, y + b)
A math shortcut that tells you exactly how much to move the x and y values.
Geometry Term
Congruent
When two shapes are identical in size and shape.
Geometry Term
Vertex
The Corner
A point where two lines meet. Usually written as (x, y).
Geometry Term
Prime ( ' )
The Mark
The little apostrophe (A') used to show a point is part of the new Image.
READY TO CUT!
Slide Squad Answer Key Answer Key
Slide Squad Bundle
TEACHER USE ONLY
Material: Slide Mastery Worksheet
Part 1: The Discovery
Same size? Yes | Same shape? Yes
Description: The triangle slid right and up.
Part 2: The Guided Slide
A' = (-2 - 4, 4 + 2) → (-6, 6) B' = (4 - 4, 6 + 2) → (0, 8) C' = (2 - 4, -2 + 2) → (-2, 0)
Part 3: The Shortcut
Move 4 units Right AND 10 units Down .
Rule: (x, y) → (x + 4, y - 10)
Material: Slide Practice Worksheet
1. Applying the Rule (x+7, y-5)
B' (4, -4)
R' (6, -3)
E' (9, -4)
A' (8, -7)
D' (5, -8)
2. Find the Rule
Case A: Right 4, Down 4. Rule: (x, y) → (x + 4, y - 4)
Case B: No. The shape turned (rotation). It is not a slide.
3. The Coordinate Challenge (FISH)
Part A (X): -2 to 3 is +5 . | Part B (Y): -3 to -7 is -4 .
Part C (Rule): (x, y) → (x + 5, y - 4)
Vocabulary Keys
Translation: Rigid Motion / Distance / Direction
Shape Properties: Size / Shape
