Unit 1: Areas
Students reason about areas of polygons and surface areas of polyhedra, building on geometric understandings developed in earlier grades.
Worksheets
Every sheet has an answer key. Free to print, no login.
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.
Grade 3 Math · Unit 2
Area and Multiplication
Grade 4 Math · Unit 1
Factors and Multiples
Grade 5 Math · Unit 2
Fractions as Quotients and Fraction Multiplication