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What is it?
What is it?
Area Maze
Using Relationships to Find Areas and Side lengths
Using Relationships to Find Areas and Side lengths
Create a diagram with side lengths and/or areas of sections. Have some information missing. These can be drawn in a single rectangle, or have overlapping sides. The solver may use relationships like:
Create a diagram with side lengths and/or areas of sections. Have some information missing. These can be drawn in a single rectangle, or have overlapping sides. The solver may use relationships like:
- Congruent sides or shapes
- Addition of areas
- Subtraction
- Scale factors
This is actually has quite a few connections to Fraction Talks
Area Relationships
Why is it great?
Why is it great?
Area Model Power
It's all about relationships
It's all about relationships
Applicable to all levels of math from ten frames, partial product multiplication, multiplying polynomials, division of polynomials (even Calculus!)
Applicable to all levels of math from ten frames, partial product multiplication, multiplying polynomials, division of polynomials (even Calculus!)
Encourages problem solving and how the pieces connect with the whole
Encourages problem solving and how the pieces connect with the whole
Connects spacial and algebraic reasoning.
Connects spacial and algebraic reasoning.
How can I chalk it?
How can I chalk it?
Area Maze
Choose an Image
Choose an Image
Transum has some great area mazes (digital style too!)
Don Steward's Site has some interesting area, angles, and length problems
There is also the book The Original Area Mazes that I like to use.
For a younger audience use a rectangle square units.
See below for more images I have used.
Chalking Your Selection
Chalking Your Selection
Choose a good section of sidewalk (smooth, no shadows.) How to tips
Draw the area out on an index card or other paper, I sometimes even include key measurements. Think about the scaling, although it doesn't have to completely be to scale.
Take a meter or yard stick with you. I use easily divisible numbers in my lengths to help. You can use paper if you don't have a meter stick.
Yard stick I use 36in and 24in often ( I usually use 3-4 inches = 1 unit on my index card)
Meter stick 72cm and 48cm lengths
Use a piece of paper (or index card for perpendicular angles)
Take a picture (overhead is best- watch for shadows). Crop the picture and post it on our Facebook Group, Instagram, or Twitter with the hashtag #mathwalk I would love it if you would tag @traciteacher so I can re-share your great work!
Examples
Examples
Area Maze
Congruent Rectangles
Don Steward's Problem
Area Maze
Rectangle Areas
Area Maze
Scale Factor Relationships
Scale Factor
Area of Square
Relationships
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