# Tangram Slope and Constant of Variation      Subject
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(1020 KB|7 pages)
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Tangrams are 7 piece puzzles that date back to Ancient China. In this set of puzzles, students will work to solve two different sets of equations, creating two different animal tangram puzzles. The puzzles practice finding the slope, or constant of variation, of 2 points on a coordinate plane. In one puzzle, students will need to plug their solution into the equation y=mx (slope) or y=kx (constant of variation). In the other puzzle, they will just need to solve for slope (m) or the constant of variation (k). There are two different versions of each puzzle, one mentioning slope, the other mentioning constant of variation.

I recommend that students solve the equations first, writing their answers above each equation THEN cut out the puzzle pieces. With the answers written on the pieces, assembling the puzzle is an easier process. Make sure to line up the answer with the equation. When everything is correct, the student will make one of the puzzles on the cover page.

I print the puzzles out on white copy paper, and let the students glue their finished animal on construction paper. They use the back of the construction paper to show their work. Once everything is glued down, they staple it onto the classroom bulletin board, or we hang them in the hallway. You can also print the tangram puzzle on color paper and laminate for a durable puzzle that can be reused.

I use these tangrams as a center station. Not only are they great for working on math skills, but they are perfect for practicing fine motor skills: cutting/scissor practice and assembling the puzzle.

Interpret the equation 𝘺 = 𝘮𝘹 + 𝘣 as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. For example, the function 𝘈 = 𝑠² giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1), (2,4) and (3,9), which are not on a straight line.
Explain what a point (𝘹, 𝘺) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, 𝘳) where 𝘳 is the unit rate.
Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.
Total Pages
7 pages
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Teaching Duration
30 minutes
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