Shape Shift Teacher Guide Shape Shift
Teacher Facilitation Guide
Grade 5 Math
Learning Objectives
Differentiate between area (inside space) and perimeter (outside boundary).
Identify missing side lengths in composite figures using geometric properties.
Solve for the perimeter of complex figures made of multiple squares.
Pacing
Warm-up 5 min
Video Exploration 5 min
Main Activity (Build It) 20 min
Class Discussion 10 min
Exit Ticket 5 min
Warm-up Guidance
Ask: "If a square has an area of 25, what is its side length?"
Key Takeaway:
Students must understand that for a square, Area = side × side. If Area = 25, then \( \text{side} = \sqrt{25} = 5 \). Perimeter would be \( 5 \times 4 = 20 \).
Video Viewing (Matholia)
0:18
Pause: Have students list all possible squares between side length 2 and 9. (4, 9, 16, 25, 36, 49, 64, 81).
0:55
Pause: Discuss "Guess and Check". Ask why 9 + 16 + 49 was too small. (Sum was 74, we need 89).
1:13
Pause: Once side lengths 3, 4, and 8 are found, ask students to predict the perimeter before the narrator calculates it.
Activity: Tile Tech
Students will use the Tile Tech Activity sheet to cut out three squares (3×3, 4×4, 8×8). They must arrange them to match the video, then create a new shape.
Ensure they understand that squares must be joined side-to-side (no overlaps).
Encourage using a ruler to check lengths on their "new" shape.
Answer Key
Warm-up
Side length = 5 cm
Perimeter = 20 cm
Video Solution
Squares: 9, 16, 64 sq cm
Side lengths: 3, 4, 8 cm
Total Perimeter: 46 cm
Exit Ticket: Joined Rectangles
Students solve for the perimeter of two joined rectangles (A: 4x6, B: 3x8).
Top edge: 4 + 8 = 12 cm (if aligned) or sum of visible segments.
Students must identify that "overlapping" internal edges are removed from the perimeter calculation.
Correct Answer: (Refer to the specific diagram in the Exit Ticket material for exact numeric value).
Shape Shift Slides Shape Shift
Area vs. Perimeter in Composite Figures
5th Grade Math
Warm Up
If a square has an Area of 25 cm², what is its side length?
Area is...
"The space inside"
Perimeter is...
"The distance around"
The Squares Problem
Watch & Pause
Embedded media
PAUSE @ 0:18
List all possible squares between 2cm and 9cm side lengths.
PAUSE @ 0:55
Which 3 areas sum to 89?
PAUSE @ 1:13
PREDICT THE PERIMETER!
Wait!
Why isn't the perimeter just all the sides added up?
In a composite figure, interior lines (where the shapes touch) are NOT part of the perimeter!
Main Activity
1
CUT
Cut out the three squares from your worksheet:3x3, 4x4, & 8x8
2
BUILD
Arrange them into the figure from the video and trace the perimeter.
3
SHIFT
Rearrange the squares into a BRAND NEW shape. Calculate the new perimeter!
Think About It...
Does the Area change?
Total space inside the squares.
Does the Perimeter change?
The total length of the outside boundary.
Tile Tech Activity Tile Tech Activity
Building Composite Figures
NAME:
DATE:
Step 1: The Templates
Carefully cut out the three squares below. Each small grid square represents 1 cm x 1 cm.
3 × 3 Square
4 × 4 Square
8 × 8 Square
Step 2: The Shape Shift
Mission:
Rearrange your three squares into a NEW shape. The squares must be joined along their sides. No overlapping!
1. Trace your new shape in the box below:
2. Calculate the Area:
Area of 3x3 = _________
Area of 4x4 = _________
Area of 8x8 = _________
Total Area = _________ cm²
3. Calculate the Perimeter:
Use your ruler to measure the outside boundary of your traced shape.
New Perimeter = _________ cm
Critical Thinking
If you moved your squares again, would the Area stay the same?Perimeter stay the same? Explain why or why not below.
Grid Master Paper Grid Master Paper
SCALE: 1 UNIT = 1 CM
LENNY MATH SERIES
NAME:
TOTAL PERIMETER:
Perimeter Puzzle Exit Ticket Perimeter Puzzle
Exit Ticket: Lesson Closure
NAME: ___________________________
DATE: ___________________________
The figure below is made of two joined rectangles.Find the total perimeter of the figure. Show all your work!
10 cm 4 cm
? 12 cm
Clues:
Rectangle A is 4cm wide and 10cm tall.
Rectangle B is 12cm wide and 5cm tall.
They share a common side height of 5cm.
Your Calculation:
FINAL PERIMETER:
_________ cm
Cut Here for Two Tickets
Perimeter Puzzle
Exit Ticket: Lesson Closure
NAME: ___________________________
DATE: ___________________________
(Same problem as above)
