Chapter 11 - Surface Area & Volume

Chapter 11 - Surface Area and Volume

6.G.A.1 - Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.

6.G.A.2 - Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = l w h and V = bh to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.

6.G.A.4 - Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.

6.EE.A.2 - Write, read, and evaluate expressions in which letters stand for numbers.

6.EE.A.2c - Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations).

Vocabulary

  1. base (geometry)
  2. lateral area
  3. net
  4. prism
  5. pyramid
  6. solid figure
  7. surface area
  8. volume

Lesson 11.1 - Three-Dimensional Figures and Nets

  • Students will be able to use nets to represent three dimensional figures. (6.G.A.4)

IXL Practice

  • EE.3 - Nets of three-dimensional figures
  • EE.2 - Which figure is being described

Lesson 11.2 - Investigate: Explore Surface Area Using Nets

  • Students will be able to use nets to recognize that the surface area of a prism is equal to the sum of the areas of its faces. (6.G.A.4)

IXL Practice

  • FF.15 - Surface area of cubes and rectangular prisms

Lesson 11.3 - Algebra: Surface Area of Prisms

  • Students will be able to find the surface area of prisms. (6.G.A.4 & 6.EE.A.2c)

IXL Practice

  • FF.15 - Surface area of cubes and rectangular prisms

Lesson 11.4 - Algebra: Surface Area of Pyramids

  • Students will be able to find the surface area of pyramids. (6.G.A.4 & 6.EE.A.2c)

Lesson 11. 5 - Investigate: Fractions and Volume

  • Students will be able to investigate the volume of rectangular prisms with fractional edge lengths.

IXL Practice

  • FF.14 - Volume of cubes and rectangular prisms

Lesson 11.6 - Algebra: Volumes of Rectangular Prisms

  • Students will be able to use formulas to find the volume of rectangular prisms with fractional edge lengths.

IXL Practice

  • FF.14 - Volume of cubes and rectangular prisms

Lesson 11.7 - Problem Solving: Geometric Measurements

  • Students will be able to solve problems involving are, surface area, and volume by applying the strategy use a formula.