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Math · Grade 6 Math · Unit 1
Unit 1: Area and Surface Area
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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Practice
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What this unit covers
A Reasoning to Find Area · 3 lessons
Goals
- Reason about the area of two-dimensional figures by composing and decomposing them, using two principles: figures that match exactly have equal areas, and area is additive.
Lessons
- Tiling the Plane
- Finding Area by Decomposing and Rearranging
- Reasoning to Find Area
B Parallelograms · 3 lessons
Goals
- Find the area of any parallelogram by identifying a base and the corresponding height.
- Generalize a process for finding the area of a parallelogram and write a formula.
Lessons
- Parallelograms
- Bases and Heights of Parallelograms
- Area of Parallelograms
C Triangles · 5 lessons
Goals
- Find the area of any triangle by identifying a base and the corresponding height.
- Generalize a process for finding the area of a triangle and write a formula.
- Apply reasoning about triangles and parallelograms to find the area of other polygons.
Lessons
- Triangles
- Finding Areas of Triangles
- Formula for the Area of a Triangle
- Bases and Heights of Triangles
- Polygons
D Surface Area · 5 lessons
Goals
- Recognize that surface area is the sum of the areas of all the faces of a three-dimensional figure.
- Use nets composed of rectangles and triangles to find the surface area of prisms and pyramids.
Lessons
- What Is Surface Area?
- Polyhedra
- Nets and Surface Area
- More Nets, More Surface Area
- Distinguishing Between Surface Area and Volume
E Squares and Cubes · 2 lessons
Goals
- Use exponent notation to express areas of squares and surface areas and volumes of cubes.
Lessons
- Squares and Cubes
- Surface Area of a Cube
F Let’s Put It to Work · 1 lesson
Lessons
- Designing a Tent (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.