Grade 6 Unit 5:
Area and Volume
Finding the Area of Triangles, Quadrilaterals, & Polygons
MGSE6.G.1
Find area of right triangles, other triangles, quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.
Study Island: 5a. Area
1.
Area of Rectangles & Triangles |
|
3.
Area of a Parallelogram |
|
4.
Area of a Trapezoid |
|
6.
Break it Up! Area of Irregular Polygons |
|
Finding the Volume of Rectangular Prisms
MGSE6.G.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 (1/2 u), and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = (length) x (width) x (height) and V= (area of base) x (height) to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.
Study Island: 5b. Volume
7.
Volume of Rectangular Prisms Using the Formula |
|
8.
Volume: How many Cubes with Fractional Edge Lengths are in a Rectangular Prism? |
|
Representing 3D Figures Using Nets
MGSE6.G.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.
Study Island: 5d. Surface Area
10.
Introduction to Nets & Surface Area Watch video (no notes required) from the beginning until 13:40. |
|
11.
Surface Area of Prisms & Pyramids |
|
12.
Practice Problems: Surface Area Draw the net and find the surface area of each figure. Link to Answer Key |