5.GSR.8: Examine properties of polygons and rectangular prisms, classify polygons by their properties, and discover volume of right rectangular prisms.

• 5.GSR.8.3 Investigate volume of right rectangular prisms by packing them with unit cubes without gaps or overlaps. Then, determine the total volume to solve problems.

  • I can recognize volume as an attribute of solid figures.

  • I can determine the total volume to solve problems. 

• 5.GSR.8.4 Discover and explain how the volume of a right rectangular prism can be found by multiplying the area of the base times the height to solve real-life, mathematical problems. 

  • I can explore the dimensions of all possible rectangular prisms given a total number of cubic units.

  • I can explain how the volume of a right rectangular prism can be found by multiplying the area of the base times the height to solve.

6.GSR.5 Solve relevant problems involving area, surface area and volume.

• 6.GSR.5.3 Calculate the volume of right rectangular prisms with fractional edge lengths by applying the formula, V = (area of base) x (height). 

  • K1: I can calculate the volume of a right rectangular prism. 

  • K2: I can find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit  fraction edge length. 

  • R1: I can apply volume formulas for right rectangular prisms to solve problems involving fractional edge lengths.

6.GSR.5 Solve relevant problems involving area, surface area and volume.

• 6.GSR.5.1 Explore area as a measurable attribute of triangles, quadrilaterals, and other polygons conceptually by composing or decomposing into rectangles, triangles, and other shapes. Find the area of these geometric figures to solve problems.

  • K1: I can compose and decompose polygons into triangles and rectangles. 

  • K2: I can compare the area of a triangle to the area of the composed rectangle. 

  • R1: I can apply the techniques of composing and/or decomposing to find the areas of triangles, special quadrilaterals, and polygons to  solve mathematical and real-world problems. 

  • R2: I can relate formulas for triangles and parallelograms to areas of rectangles.

6.GSR.5.2 Given the net of three-dimensional figures with rectangular and triangular faces, determine the surface area of these figures.

• • • K1: I can represent three-dimensional figures by using nets made up of rectangles and triangles.

    • R1: I can use the nets to find the surface area of three-dimensional figures. 

    • R2: I can apply what I know about surface area to solve contextual problems.

5.NR.5 Write, interpret, and evaluate numerical expressions within real-life problems. 

• 5.NR.5.1 Write, interpret, and evaluate simple numerical expressions involving whole numbers with or without grouping symbols to represent real-life situations. 

  • I can write, interpret, and evaluate numerical expressions involving whole numbers with or without grouping symbols to represent actual situations.