Math Quad Teacher Guide Math Quads
Teacher Facilitation Guide
Grade Level: 5th/6th
Duration: 45-50 Minutes
Learning Objective
Students will synthesize their knowledge of multiple mathematical representations by creating a visual "Math Quad" aid that connects a grid model to its equivalent ratio, fraction, decimal, and percent forms.
Lesson Flow & Pacing
5
Minutes
The Hook: The Big Picture
Display the summary blackboard from the video (11:02). Ask students: "What do all these rules have in common?"
Identify that they are all ways of showing "parts of a whole."
Highlight the "100" as the anchor for all these forms.
5
Minutes
Video Refresher
Watch the '43 shaded squares' segment (4:28-5:10). This provides a concrete example of the exact workflow students will use.
Key Question: How did the grid change into a decimal? (Focus on the 'hundredths' place value).
25
Minutes
Four-Square Math Art
Students receive the Math Quad template. They choose a unique number (or assign different numbers to different groups) to represent.
Step 1: Shade the 100-grid in the center.
Step 2: Calculate the 4 forms in the corners.
Step 3: Decorate each quadrant to represent the "feeling" of that math form.
Step 4: Use the Rubric for self-assessment.
10
Minutes
Gallery Walk & Peer Check
Students circulate. Give each student 2-3 small sticky notes. They should find a peer's work and "Verify" the conversion by doing the math themselves.
5
Minutes
Closure: Math Cousins
Discussion: "In the video, why might we say decimals and percents are 'cousins'?" (Focus on the 2-place movement and the fact that both rely on the 'hundredth' position).
Preparation Checklist
Required Documents
Math Quad Art Template (1 per student)
Math Art Rubric (1 per student/pair)
Connection Anchor Chart (Poster or Handout)
Classroom Supplies
Colored pencils or markers
Rulers for clean borders
Sticky notes for Gallery Walk
Math Quads Slides MATH QUADS
The Art of Connection
The Big Picture
HOOK
Look at the summary from the video.
"These forms aren't just neighbors—they're family."
How does one grid tell four different stories?
Embedded media
Summary View (11:02)
Visualizing "43"
REFRESHER
Embedded media
Ratio
43:100
Fraction
\( \frac{43}{100} \)
Decimal
0.43
Percent
43%
YOUR MISSION
1. Create
Choose a number (0-100). Shade it clearly on your center grid.
2. Convert
Show the math in each corner: Ratio, Fraction, Decimal, & Percent.
3. Design
Decorate each "Quad" to reflect the connection between the forms.
Gallery Walk
Display your work on your desk.
"Your job is to be a Math Detective. Use a sticky note to 'Verify' a classmate's conversion. If you find a mistake, leave a helpful tip!"
Math Cousins
Why are Decimals and Percents called cousins?
REASON 1
Both rely on "Hundredths"
REASON 2
The "Two-Step" decimal slide
Math Quad Anchor Chart The Math Quad
CONNECTING PARTS OF A WHOLE
The Base: 100-Grid
<table class="border-collapse border-2 border-slate-400 bg-white"><tbody><tr v-for="i in 5" :key="i"><td class="w-6 h-6 border border-slate-300 bg-indigo-500"></td><td class="w-6 h-6 border border-slate-300 bg-indigo-500"></td><td class="w-6 h-6 border border-slate-300 bg-indigo-500"></td><td class="w-6 h-6 border border-slate-300 bg-indigo-200"></td><td class="w-6 h-6 border border-slate-300 bg-white"></td><td class="w-6 h-6 border border-slate-300 bg-white"></td><td class="w-6 h-6 border border-slate-300 bg-white"></td><td class="w-6 h-6 border border-slate-300 bg-white"></td><td class="w-6 h-6 border border-slate-300 bg-white"></td><td class="w-6 h-6 border border-slate-300 bg-white"></td></tr><tr><td colspan="10" class="h-6 text-center text-slate-400 italic text-xs">... and so on ...</td></tr></tbody></table>
"Every part is a piece of 100."
Percent
"Per 100". Symbol: %
Ratio
Comparison of shaded to total (100). Format: X : 100
Fraction
Part over whole. Format: \(\frac{X}{100}\)
Decimal
Place value (Hundredths). Format: 0.XX
The Conversion Bridges
Decimal to Percent
0.43 Slide 2 places right 43%
Fraction to Decimal
\( \frac{43}{100} \) Divide Top by Bottom 0.43
The Golden Rule: "Everything connects at 100!"
Math Quad Art Template Math Quad Art
Refining Your Math Vision
Name: __________________________
Date: ___________________________
R
Ratio
F
Fraction
D
Decimal
P
Percent
Master Grid
Shade your value here
MISSION: Choose a whole number between 1 and 99. Shade that many squares on the Master Grid. In each quadrant, represent your shaded value. Don't just write the math—use the empty space to decorate and show how that quadrant relates to your grid!
Math Quad Art Rubric Math Art Rubric
Mastery & Synthesis
Criteria Exceptional (4) Proficient (3) Developing (2) Incomplete (1) Mathematical Accuracy
Conversions between all 4 forms.
| All four forms are 100% correct and simplified to lowest terms where applicable. | All four forms are correct, but simplification may be missing. | 2-3 forms are correct; conversions show some misunderstanding. | Only 1 form is correct or significant errors in all areas. |
|
Grid Representation
Modeling the value on the 100-grid.
| Grid is shaded perfectly to match the math; shading is creative and easy to count. | Grid is shaded correctly to match the math forms. | Grid shading is slightly off or messy, making it hard to verify. | Grid shading does not match any of the mathematical forms. |
|
Synthesis & Design
Using art to show connections.
| Decorations clearly highlight the "family" connection between the forms (e.g., arrows, labels, motifs). | Decorations are present in all four quads and relate to the topic. | Some decoration is present, but it feels disconnected from the math. | Minimal decoration or no attempt to connect the quadrants. |
|
Clarity & Neatness
Overall readability and effort.
| Work is exceptionally neat, colorful, and professional; suitable for classroom display. | Work is neat, legible, and shows clear effort. | Work is legible but lacks polish or consistent effort. | Work is difficult to read or appears rushed. |
Student Self-Reflection
1. Which conversion was the most challenging for you? Why?
2. Describe one way your art shows that decimals and percents are "cousins."
Math Quads Slides MATH QUADS
The Art of Connection
The Big Picture
Hook
Look at the summary from the video.
"These forms aren't just neighbors—they're family."
How does one grid tell four different stories?
Embedded media
Summary View (11:02)
Visualizing "43"
Refresher
Embedded media
Ratio
43:100
Fraction
\( \frac{43}{100} \)
Decimal
0.43
Percent
43%
Your Mission
1. Create
Choose a number (0-100). Shade it clearly on your center grid.
2. Convert
Show the math in each corner: Ratio, Fraction, Decimal, & Percent.
3. Design
Decorate each "Quad" to reflect the connection between the forms.
Gallery Walk
Display your work on your desk.
"Your job is to be a Math Detective. Use a sticky note to 'Verify' a classmate's conversion. If you find a mistake, leave a helpful tip!"
Math Cousins
Why are Decimals and Percents called cousins?
REASON 1
Both rely on "Hundredths"
REASON 2
The "Two-Step" decimal slide
