➕ 6th Grade Math · Unit 1

Area and Surface Area

11 short narrated lessons in 2 chapters, each with pictures, a quiz with a hint and a second try, and an explanation for every answer.

Standards: 6.G.A.1 6.G.A.4

6th Grade Math · 8 units
  1. 1Area and Surface Area
  2. 2Introducing Ratios
  3. 3Unit Rates and Percentages
  4. 4Dividing Fractions
  5. 5Working with Decimals and Whole Numbers
  6. 6Expressions and Equations
  7. 7Rational Numbers
  8. 8Statistics
Picture from the lesson “Slide It Into a Rectangle: Area of Parallelograms”
Slide It Into a Rectangle: Area of Parallelograms
Picture from the lesson “Half a Parallelogram: Area of Triangles”
Half a Parallelogram: Area of Triangles
Picture from the lesson “Take It Apart: Area of Trapezoids”
Take It Apart: Area of Trapezoids

What your child will learn

Area of polygons

  1. Slide It Into a Rectangle: Area of ParallelogramsFind the area of a parallelogram by cutting and rearranging it into a rectangle, then multiplying base times height.
  2. Half a Parallelogram: Area of TrianglesFind the area of a triangle as one half of base times height by seeing it as half of a parallelogram.
  3. Take It Apart: Area of TrapezoidsFind the area of a trapezoid by splitting it into triangles and rectangles.
  4. Add It or Subtract It: Area of Any PolygonFind the area of any polygon by breaking it into rectangles and triangles, or by subtracting pieces from a larger shape.
  5. Area Detective: Polygons Review ReviewReview finding the area of parallelograms, triangles and other polygons.

Nets and surface area

  1. Faces, Edges and VerticesDescribe prisms and pyramids by their faces, edges and vertices.
  2. NetsMatch a three-dimensional figure to a net that folds up to make it.
  3. Surface Area of PrismsFind the surface area of a rectangular or triangular prism by adding the areas of the faces in its net.
  4. Surface Area of PyramidsFind the surface area of a pyramid by adding the area of its base and its triangle faces.
  5. Nets and Surface Area Review ReviewReview using nets to find surface area.
  6. Unit 1 Test: Area and Surface AreaShow what you learned in the whole unit (Area of polygons, Nets and surface area) by answering mixed questions.

Try a question from this unit

From the lesson “Slide It Into a Rectangle: Area of Parallelograms”

A parallelogram with a base of 9 centimeters and a dashed height of 4 centimeters.

A parallelogram has a base of 9 centimeters and a height of 4 centimeters. What is its area?

  • 13 square centimeters
  • 26 square centimeters
  • 36 square centimeters
  • 18 square centimeters
Show the answer

36 square centimeters. The area of a parallelogram is base times height. 9 Ă— 4 = 36, so the area is 36 square centimeters.

Hint kids see after a wrong try: “Multiply the base by the height.”

Key words

  • parallelogram
  • base
  • height
  • triangle
  • one half
  • trapezoid
  • decompose
  • polygon
  • compose
  • prism
  • pyramid
  • face
  • net
  • three-dimensional
  • surface area
  • lateral face
All 6th Grade Math units Introducing Ratios →

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Narrated lessons, pictures and quizzes for every grade from K to 8. Works offline.

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