What students learn

In this lesson, students solve real-world and mathematical problems involving area, surface area, and volume.

  • Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes.

  • Find the volume of a right rectangular prism and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply formulas to find volumes of right rectangular prisms.

  • Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures.

Course curriculum

    1. What is an area?

    2. Quiz: Area in patterns

    3. Area formula for a rectangle

    4. Quiz: Area of figures made from rectangles

    5. Introduction to Decomposition

    6. Quiz: Decomposition of rectangles

    7. Area of the triangle by the decomposing method

    8. What is a polygon?

    9. Multiple decompositions and rearrangement

    10. The area of the triangle is half of the rectangle

    11. Quiz: Decomposition of polygons

    12. Quiz: Decomposition of triangles

    13. Area of a parallelogram

    14. Identifying base and height of parallelogram

    15. Quiz: Parallelograms and mixed problems

    1. Surface area of 3D objects and its meaning

    2. Quiz: Surface area of cubes

    3. What are polyhedra?

    4. Quiz: Introduction to polyhedra

    5. Types of Polyhedra and their differences

    6. Quiz: Prism and Pyramid

    7. What is a net diagram?

    8. Quiz: Net diagrams

    9. What is volume?

    10. Quiz: Applications of area and volume

    11. The formula for a box-like object

    12. Quiz: Volume of cube

    13. Volumes of irregular objects made of cubes only

    14. Quiz: Objects made of cubes

About this course

  • 29 lessons