Pattern Shape Pictures

Practices
Noticing and using mathematical structure
Representing and connecting
Topics
Subtraction
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Use an App Pattern Shapes
3MVX-15G1

How many points is each pattern shape worth? Ava made pictures using three pattern shapes. Each pattern shape is worth a different number of points.  She found the total number of points for each picture.

• How many points is each shape worth?
• Can you make a picture worth 20 points?
• Can you make a picture worth 10 points?
How could you get started?
• What do you notice about the three pictures that Ava made? What do all three pictures have in common?
• What could the green triangle and blue rhombus be worth in the first picture? Do these values work with the other pictures?
• Choose another shape in the app. Decide how many points it is worth. Make a picture that includes your shape. Tell a friend the total number of points your picture is worth and ask them to figure out how many points the new shape is worth.
• Suppose the values of the pictures changed to 48, 50, and 52. How would the values of the shapes change?
• Suppose the values of the pictures changed to 17, 19 ½, and 21. How would the values of the shapes change?
• Choose your own numbers for the values of the shapes. Tell a friend the values of the pictures and ask if they can find the values of each shape.