Unit 6: Exploring Area and volume
Unit Description:
In this unit, students extend their work with area and volume from simple figures in elementary school to composite figures, including those with sides of fractional lengths. These figures will be composed and decomposed into triangles and rectangles in order to compute their areas. Nets of solid figures allow students to calculate the surface area of three-dimensional figures.
In this unit, students extend their work with area and volume from simple figures in elementary school to composite figures, including those with sides of fractional lengths. These figures will be composed and decomposed into triangles and rectangles in order to compute their areas. Nets of solid figures allow students to calculate the surface area of three-dimensional figures.
IN THIS UNIT STUDENTS WILL:
● Find areas of right, equilateral, isosceles, and scalene triangles, and special quadrilaterals. ● Find areas of composite figures and polygons by composing into rectangles and decomposing into triangles and other shapes. ● Solve real-world and mathematical problems involving area. ● Decipher and draw views of rectangular and triangular prisms from a variety of perspectives. ● Recognize and construct nets for rectangular and triangular prisms. ● Find the surface area of rectangular and triangular prisms by using manipulatives and by constructing nets. ● Solve real-world problems that require determining the surface area of rectangular and triangular prisms. ● Measure and compute volume with fractional edge lengths (like ½ of a unit) using cubic units of measure. ● Find the volumes of right rectangular prisms by substituting given values for their dimensions into the correct formulas. ● Make the connection that finding the volume given the length (l) x width (w) is the same as the base (B). ● Solve real-world problems that require determining the volume of right rectangular prisms. Learning Objectives 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. 6.GSR.5.2 Given the net of three-dimensional figures with rectangular and triangular faces, determine the surface area of these figures. 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). I Can Statements:
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Khan Academy Resources
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Textbook Connections:
Module 8 - Lesson 1 Area of Parallelograms
Students will find and use the area of parallelograms.
Module 8 – Lesson 2 Area of Triangles
Students will find and use the area of triangles.
Module 8 – Lesson 3 Area of Trapezoids
Students will find and use the area of trapezoids by composing and decomposing into other shapes.
Module 8 – Lesson 4 Area of Regular Polygons
Students will find the area of regular polygons by decomposing the figure into other figures.
Module 8 – Lesson 5 Polygons on the Coordinate Plane (Area and Perimeter)
Students will use the coordinate plane to draw and find attributes of polygons.
Module 9 – Lesson 1 Volume of Rectangular Prisms
Students will find and use the volume of rectangular prisms.
Module 9 – Lesson 2 Surface Area of Rectangular Prisms
Students will make nets and find surface area of rectangular prims.
Module 9 – Lesson 3 Surface Area of Triangular Prisms
Students will make nets and find surface area of triangular prisms.
Module 9 – Lesson 4 Surface Area of Pyramids
Students will make nets and find surface area of pyramids.
Module 8 - Lesson 1 Area of Parallelograms
Students will find and use the area of parallelograms.
Module 8 – Lesson 2 Area of Triangles
Students will find and use the area of triangles.
Module 8 – Lesson 3 Area of Trapezoids
Students will find and use the area of trapezoids by composing and decomposing into other shapes.
Module 8 – Lesson 4 Area of Regular Polygons
Students will find the area of regular polygons by decomposing the figure into other figures.
Module 8 – Lesson 5 Polygons on the Coordinate Plane (Area and Perimeter)
Students will use the coordinate plane to draw and find attributes of polygons.
Module 9 – Lesson 1 Volume of Rectangular Prisms
Students will find and use the volume of rectangular prisms.
Module 9 – Lesson 2 Surface Area of Rectangular Prisms
Students will make nets and find surface area of rectangular prims.
Module 9 – Lesson 3 Surface Area of Triangular Prisms
Students will make nets and find surface area of triangular prisms.
Module 9 – Lesson 4 Surface Area of Pyramids
Students will make nets and find surface area of pyramids.
IXL Unit Modules with Short Cut Codes
6.GSR.5.1
Area of Rectangles and Squares - BE9
Area of Parallelograms - Y8K
Area of Triangles - C8S
Area of Trapezoids - 42R
Area of Compound/Irregular Figures - 76U
Area of Compound/Irregular Figures with Triangles - 5V2
6.GSR.5.2
Nets of Three-Dimensional Figures - 8KP
Surface Area with Rectangular Prisms - RMG
Surface Area with Triangular Prisms - UGR
Surface Area with Pyramids - 5XW
6.GSR.5.3
Volume of Right Rectangular Prisms - XHF
Volume of Rectangular Prisms Using Fractional Edge Lengths - BQK
Volume Using Word Problems - BBM
6.GSR.5.1
Area of Rectangles and Squares - BE9
Area of Parallelograms - Y8K
Area of Triangles - C8S
Area of Trapezoids - 42R
Area of Compound/Irregular Figures - 76U
Area of Compound/Irregular Figures with Triangles - 5V2
6.GSR.5.2
Nets of Three-Dimensional Figures - 8KP
Surface Area with Rectangular Prisms - RMG
Surface Area with Triangular Prisms - UGR
Surface Area with Pyramids - 5XW
6.GSR.5.3
Volume of Right Rectangular Prisms - XHF
Volume of Rectangular Prisms Using Fractional Edge Lengths - BQK
Volume Using Word Problems - BBM