Learning Goal
Part of: Solve real-world and mathematical problems involving area, surface area, and volume — 1 of 4 cluster items
Find the area of right triangles, other triangles, special quadrilaterals, and polygons
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.
-- Standard 6.G.A.1
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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.
-- Standard 6.G.A.1
What you'll learn
- Find the area of a right triangle by recognizing it as half a rectangle whose sides are the legs.
- Find the area of any triangle by enclosing it in a rectangle and halving, using A = 1/2(base)(height).
- Find the area of a parallelogram by decomposing into a triangle and trapezoid that re-form a rectangle, using A = (base)(height) where height is perpendicular to the base.
- Find the area of a trapezoid by either decomposing into two triangles or composing with a rotated copy into a parallelogram, using A = 1/2(b_1 + b_2)h.
- Find the area of an irregular polygon by decomposing into triangles and rectangles (or by completing a bounding rectangle and subtracting), and compute the total.
- Solve real-world problems that require finding a polygon's area and using that area to answer a question about cost, coverage, or count.
Slides
Interactive presentations perfect for visual learners • 2 slide decks
Slide Video
Watch narrated slides play like a video lesson • Narrated slide playback
Task-sets
Learning resource • 1 task-sets