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Math · Grade 6 Accelerated · Unit 1
Unit 1: Areas
Students reason about areas of polygons and surface areas of polyhedra, building on geometric understandings developed in earlier grades.
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Unit
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Concept
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What this unit covers
A Reasoning to Find Area · 3 lessons
Goals
- Find the area of a two-dimensional region with straight boundaries by decomposing, rearranging, subtracting, or enclosing shapes, and explain the solution method.
Lessons
- Tiling the Plane
- Finding Area by Decomposing and Rearranging
- Reasoning to Find Area
B Parallelograms · 3 lessons
Goals
- Apply the formula for area of a parallelogram to find the area, the length of a base, or the height.
- Understand bases and heights in a parallelogram and recognize base-height pairs to use to calculate its area.
Lessons
- Parallelograms
- Area of Parallelograms
- From Parallelograms to Triangles
C Triangles and Other Polygons · 3 lessons
Goals
- Find the area of a polygon by decomposing it into parallelograms and triangles.
- Understand bases and heights in a triangle and recognize base-height pairs to use to find the area of a triangle.
- Understand why the process of finding the area of a triangle can be abstracted as one-half base times height (or equivalent) and apply the formula to find the area of a triangle.
Lessons
- Area of Triangles
- Formula for the Area of a Triangle
- Polygons
D Surface Area · 3 lessons
Goals
- Identify or create a net that represents a prism or pyramid.
- Use a net to calculate the surface area of a prism or pyramid and explain the solution method.
Lessons
- What Is Surface Area?
- Polyhedra and Nets
- More Nets, More Surface Area
E Let’s Put It to Work · 1 lesson
Lessons
- All about Tents (Optional)
Helpful to know first
The curriculum says this unit builds on these.
Adapted from the Illustrative Mathematics curriculum (v.360), licensed CC BY-NC 4.0. © Illustrative Mathematics.