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Are you ready to solve a fun math puzzle?

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Are you ready to solve a fun math puzzle?

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Step 1:  Use the Pattern Shapes app to make two identical flowers.  The first one must have less shapes than the second one.  Hint: Think how you can decompose a big shape like a hexagon into smaller shapes.

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Step 1:  Use the Pattern Shapes app to make two identical flowers.  The first one must have less shapes than the second one.  Hint: Think how you can decompose a big shape like a hexagon into smaller shapes.

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All of the shapes have the same price.  They are all 1 cent each.

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All of the shapes have the same price.  They are all 1 cent each.

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Step 2:  Record how much money you spent on making the first flower and how much money you spent on making the second flower.  

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Step 2:  Record how much money you spent on making the first flower and how much money you spent on making the second flower.  

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Step 3:  Explain why the second flower is more expensive to make?

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Step 3:  Explain why the second flower is more expensive to make?

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Click on this Pattern Shapes app to start making your picture.

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Click on this Pattern Shapes app to start making your picture.

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Pattern Shapes by The Math Learning Center

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Students use Pattern Shapes to explore geometry and fractions, create their own designs, or fill in outlines. As they work with shapes, students think about angles, investigate symmetry, and compose and decompose larger shapes.

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The first flower costs 10 cents and the second flower costs 15 cents to make. The second flower is more expensive to make because I put 6 triangles to make up one hexagon. That’s why I spent 5 more cents to make the second flower.

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.The first flower cost  13 cents to make. The second flower cost 18 cents to make. The second flower was more expensive because I used more shapes. I broke up 2 squares into 4 triangles. I broke up 1 hexagon into 2 trapezoids. I broke up 2 rhombus into 4 triangles

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The first flower cost me $.10 the second flower cost me The second flower cost me $.24 because I used more triangles and Rhombus to make the flower.

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The first flower cost 10 cents and the second one 12 cents because i break the 2 rhombus into 2 triangles each.

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1 lion +1 more lion = 2 lions in all.

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My 1st flower cost .15 cents and my 2nd one cost .11 cents.

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My first flower cost 9 cents and my second flower cost 10 cents.

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I make first flower use 12 shapes (12 cents) and second flower use 18 shapes (18cents), because I use 12 Trapezoid change 6 Hexagon,
18-12=6 ; 12-6=6 .

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The first flower : 5 triangles + 1 hexagon + 2 rhombus + 2 squares = 10 shapes
The second flower : 10 triangles + 1 trapezoid + 3 rhombus = 14 shapes
The first flower costs 10 cents and the second flower costs 14 cents. The second flower is more expensive because i used more shape to make it .

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The 1st flower 5 triangles, 1 hexagon, and 3 squares.
The 2nd flower is 2 trapezoids, and 11 triangles

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The first flower cost 10 cents (5 triangles, 1 hexagon, 3 parallelograms, and 1 trapezoid) and the second flower cost 20 cents (20 triangles). The second flower costs more because there are more triangles to change the parallelograms, trapezoid, and hexagon.

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First flower costs 16 cents, second flower costs 17 cents.

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the first flower cost $.08 and the second flower cost $.13

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The red shape is equal to the 3 triangles combined.

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The first flower cost 18 cents and the second flower cost 19 cents. The first flower cost less because it is missing the hexagon in the middle, but they still have the same shape.