6th Grade · Unit 8

Area, Surface Area & Volume

9 lessons, about 20 days with the quiz, review and test, in one download: Area of Parallelograms, Area of Triangles, Area of Polygons, Quadrilaterals on the Coordinate Plane, Polygons on the Coordinate Plane, Nets & Surface Area, Surface Area Word Problems, Volume with Fractional Edge Lengths, Volume Word Problems.

The lessons

9 lessons, in teaching order

Built to 6.G.A.1, 6.G.A.3, 6.G.A.4, 6.G.A.2. Each lesson has guided notes, practice, an exit ticket, a homework page, worked answer keys and a click-by-click Teacher Deck.

  1. Lesson 1 Area of Parallelograms 6.G.A.1 · 2 days I can find the area of a parallelogram as base × height, using the height that meets the chosen base at a right angle (even outside the shape), and find a missing base or height from the area.
  2. Lesson 2 Area of Triangles 6.G.A.1 · 2 days I can find the area of any triangle as half of base × height, using the height that meets the chosen base at a right angle (inside, along a side or outside the triangle), and find a missing base or height from the area.
  3. Lesson 3 Area of Polygons 6.G.A.1 · 2 days I can find the area of right triangles, other triangles, parallelograms, trapezoids and other polygons by cutting them into rectangles and triangles, or by fitting them inside a rectangle.
  4. Lesson 4 Quadrilaterals on the Coordinate Plane 6.G.A.3 · 2 days I can draw a quadrilateral on the coordinate plane from its vertices, use the coordinates to find the length of each side on a grid line, name the quadrilateral, and find its perimeter and area.
  5. Lesson 5 Polygons on the Coordinate Plane 6.G.A.3 · 1 day I can draw triangles and other polygons on the coordinate plane from their vertices, find a missing vertex, measure the sides that lie on grid lines, and find an area by cutting a polygon into rectangles and right triangles.
  6. Lesson 6 Nets & Surface Area 6.G.A.4 · 2 days I can represent a right rectangular prism with its net and use the net to find the prism's surface area.
  7. Lesson 7 Surface Area Word Problems 6.G.A.4 · 2 days I can solve real-world surface area problems by deciding which faces of a box the job covers (a closed box, no lid, walls only), adding just those face areas, and answering in square units or in dollars.
  8. Lesson 8 Volume with Fractional Edge Lengths 6.G.A.2 · 2 days I can find the volume of a right rectangular prism with fraction edge lengths by packing it with unit-fraction cubes, and show that multiplying the edge lengths, V = l × w × h, gives the same volume.
  9. Lesson 9 Volume Word Problems 6.G.A.2 · 2 days I can solve real-world volume problems with rectangular prisms: multiply length × width × the height the story fills (a water depth, not the tank's height), then answer the question asked (bags, loads, cost, depth or rise).
Area, Surface Area & Volume | 6th Grade Math Unit 8 Notes, Homework & Tests
One download · $26.99

Everything for Unit 8

  • Student packets, color and InkSaver, with all 9 lessons in teaching order: notes, practice, apply, an exit ticket and a homework page for each
  • Answer keys: every problem worked step by step, the common mistakes, and a key for every homework page
  • Teacher Decks: an interactive PowerPoint deck with speaker notes for each lesson, plus a completed deck PDF
  • Assessments: a quiz, a unit review and Unit Test Forms A and B, each with a fully worked answer key, in color, InkSaver and editable Word
  • A unit overview: the lessons in teaching order and the days for each

View Unit 8 on TPT

Or the whole year: the 6th Grade Math Curriculum bundle, all 9 units for $179.99

Teaching notes

The standards in this unit

How to explain each one, worked examples and the mistakes students make.

Standard codes refer to the Common Core State Standards for Mathematics. Math Class 678 is an independent publisher, not affiliated with, sponsored by, or endorsed by NGA Center or CCSSO. Every product is sold on Teachers Pay Teachers.