Tangram Math: Integrating Fractions, Decimals, Percent, Geometry, and Algebra

Grade Levels
5th - 8th, Homeschool
Formats Included
  • PDF
23 pages
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In this powerfully engaging activity students of all skill levels will study standard and nonstandard tangrams to determine the values of the pieces. Students will compare the pieces to see how they relate to one another as fractions, decimals, percent, and areas. They will also develop geometric vocabulary and form an understanding of congruence and similarity. The best part is that the entire process will lead them seamlessly into algebraic thinking as they navigate among the pieces and their representations. The activity can also be used to help students learn probability, solve proportions and equations and understand algebraic properties!

Total Pages
23 pages
Answer Key
Teaching Duration
1 Week
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to see state-specific standards (only available in the US).
Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, 𝘒/𝘣 + 𝘀/π˜₯ = (𝘒π˜₯ + 𝘣𝘀)/𝘣π˜₯.)
Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2.
Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category. For example, all rectangles have four right angles and squares are rectangles, so all squares have four right angles.
Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.
Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.


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