UNIT 4: Exploring area and volume
IN THIS UNIT, STUDENTS WILL BE EXPECTED TO:
- Find areas of right, equilateral, isosceles, scalene triangles, and special quadrilaterals.
- Find areas of composite figures and polygons by composing them into rectangles and decomposing them 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 using manipulatives and 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.
- Find areas of right, equilateral, isosceles, scalene triangles, and special quadrilaterals.
- Find areas of composite figures and polygons by composing them into rectangles and decomposing them 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 using manipulatives and 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. 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.
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 a right rectangular prism with fractional edge lengths by applying the formula, V = (area of base) x (height).
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.
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 a right rectangular prism with fractional edge lengths by applying the formula, V = (area of base) x (height).
LEARNING TARGETS (I Can Statements):
- I can determine the area of triangles and quadrilaterals.
- I can determine the area of composite figures by composing and decomposing them into triangles and quadrilaterals.
- I can determine the surface area of three-dimensional figures when given the net by decomposing them into triangles and rectangles.
- I can calculate the volume of the right rectangular prism with fractional edge lengths by multiplying the base of the prism by the height.
- I can determine the area of triangles and quadrilaterals.
- I can determine the area of composite figures by composing and decomposing them into triangles and quadrilaterals.
- I can determine the surface area of three-dimensional figures when given the net by decomposing them into triangles and rectangles.
- I can calculate the volume of the right rectangular prism with fractional edge lengths by multiplying the base of the prism by the height.
TEXTBOOK CONNECTIONS:
(Use Georgia Reveal Math - Course 1 - 6th Grade)
Module 8 – Area
Find areas of parallelograms, triangles, trapezoids, regular polygons, and polygons on the coordinate plane.
Lesson 8-1 Area of Parallelograms
Students will find and use the area of parallelograms.
Lesson 8-2 Area of Triangles
Students will find and use the area of triangles.
Lesson 8-3 Area of Trapezoids
Students will find and use the area of trapezoids by composing and decomposing them into other shapes.
Lesson 8-4 Area of Regular Polygons
Students will find the area of regular polygons by decomposing the figure into other figures.
Module 9 – Volume and Surface Area
Find the volume of rectangular prisms and the surface area of triangular and rectangular prisms and pyramids.
Lesson 9-1 Volume of Rectangular Prisms
Students will find and use the volume of rectangular prisms.
Lesson 9-2 Surface Area of Rectangular Prisms
Students will make nets and find the surface area of rectangular prisms.
Lesson 9-3 Surface Area of Triangular Prisms
Students will make nets and find the surface area of triangular prisms.
Lesson 9-4 Surface Area of Pyramids
Students will make nets and find the surface area of pyramids.
(Use Georgia Reveal Math - Course 1 - 6th Grade)
Module 8 – Area
Find areas of parallelograms, triangles, trapezoids, regular polygons, and polygons on the coordinate plane.
Lesson 8-1 Area of Parallelograms
Students will find and use the area of parallelograms.
Lesson 8-2 Area of Triangles
Students will find and use the area of triangles.
Lesson 8-3 Area of Trapezoids
Students will find and use the area of trapezoids by composing and decomposing them into other shapes.
Lesson 8-4 Area of Regular Polygons
Students will find the area of regular polygons by decomposing the figure into other figures.
Module 9 – Volume and Surface Area
Find the volume of rectangular prisms and the surface area of triangular and rectangular prisms and pyramids.
Lesson 9-1 Volume of Rectangular Prisms
Students will find and use the volume of rectangular prisms.
Lesson 9-2 Surface Area of Rectangular Prisms
Students will make nets and find the surface area of rectangular prisms.
Lesson 9-3 Surface Area of Triangular Prisms
Students will make nets and find the surface area of triangular prisms.
Lesson 9-4 Surface Area of Pyramids
Students will make nets and find the surface area of pyramids.
IXL SKILLS: