Our Fourth Unit of Study: Area, Surface Area, and Volume

Focus of this Unit:

In this unit, students are expected to apply their understanding of area to determining the area of triangles, quadrilaterals, and composite figures. To work with composite figures, students should be able to decompose the figure into triangles and rectangles to find the total area. In addition, students will use nets made up of triangles and rectangles in order to calculate surface area of three-dimensional figures. Students will extend their knowledge of calculating volume to determine the volume of right rectangular prisms with fractional edge lengths. When studying volume in grade 5, students packed prisms with unit cubes. They will be expected to continue using this strategy to justify that the volume of a rectangular prism is the same as it would be when multiplying the edge measures of the length, width, and height.

Connections to Subsequent Learning:

Students extend their understandings of area and surface area developed in Grade 6 to calculate areas and surface areas of other prisms in Grade 7. They also extend their understandings of volume of rectangular prisms to solve problems involving volume of other three-dimensional figures. In Grade 8, students will know and apply formulas to calculate the volumes of cones, cylinders, and spheres in real-world problems.

TEXT: *Big Ideas Advanced 1 (Orange), Larson & Boswell - www.bigideasmath.com*