## 6.G.A.1-6.G.A.4 Solve real-world and mathematical problems involving area, surface area, and volume

Posted: January 5, 2016 in Periods 1&2
6.G.A.1

Find the area of right triangles, other triangles, special 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.

## Lessons

• In this lesson you will learn how to find the area of a parallelogram by decomposing into a rectangle.

• In this lesson you will learn how to find the area of a right triangle by composing a rectangle.

• In this lesson you will learn how to find the area of a trapezoid by composing a parallelogram.

• In this lesson you will learn how to find the area of other polygons by decomposing into triangles, rectangles, parallelograms, and trapezoids.

Isolation Drills:

TenMarks Assignments:

• 6.G.1 Finding the Area of Composite Figures
6.G.A.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, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = l w h and V = b h to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.

## Lessons

• In this lesson you will learn how to identify the parts of three-dimensional figures by locating faces, bases, vertices, edges, and height.

• In this lesson you will learn to determine whether to find area, surface area, or volume in a given situation by thinking about what units are needed.

• In this lesson you will learn how to find the volume of a rectangular prism by developing a formula.

• Find the volume of a rectangular prism: using unit cubes

In this lesson you will learn how to find the volume of a rectangular prism by using unit cubes.

• In this lesson you will learn how to find the volume of a 3-dimensional figure composed of 2 rectangular prisms.

• In this lesson you will learn how to find the volume of a fractional rectangular prism by using unit cubes.

Isolation Drills:

TenMarks Assignments:

• 6.G.2 Finding the Volume of a Rectangular Prism
6.G.A.3

Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems.

## Lessons

• In this lesson you will learn how to draw polygons by using given coordinates as vertices.

• In this lesson you will learn how to find the length of sides and then use that to find perimeter and area by comparing coordinates.

• In this lesson you will learn how to determine unknown ordered pairs by using characteristics of polygons.

• In this lesson you will learn how to find distances on a map by comparing ordered pairs.

Isolation Drills:

TenMarks Assignments:

• 6.G.3 Polygons on a Coordinate Plane
6.G.A.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.

## Lessons

• In this lesson, you will learn how to identify the parts of three-dimensional figures and prisms, by locating faces, bases, vertices, edges, and height.

• In this lesson, you will learn how to represent three-dimensional figures with nets, by analyzing their faces and bases.

• In this lesson you will learn how to analyze rectangular prisms by locating pairs of congruent faces.

• In this lesson you will learn how to develop a plan for finding surface area by applying your knowledge of congruent faces.

• In this lesson you will learn how to find the surface area of a rectangular prism by analyzing the prism’s six faces, and computing their areas.

• In this lesson you will learn how to analyze triangular prisms by locating and assessing pairs of congruent triangular faces.

• In this lesson you will learn how to develop a plan for finding triangular prism surface area by applying your knowledge of congruent faces.

• #### Solve real-world problems with surface area

In this lesson you will learn how to solve real-life problems by applying your knowledge of surface area.

• In this lesson you will learn to determine whether to find area, surface area, or volume in a given situation by thinking about what units are needed.

• Identify parts of 3-dimensional solids

In this lesson you will learn how to identify parts of 3-dimensional solids.

• In this lesson you will learn how to find the surface area of a rectangular prism.

• In this lesson you will learn how to find the surface area of a rectangular prism in context.

• In this lesson you will learn how to find the surface area of a triangular prism.

• In this lesson you will learn how to find the surface area of a triangular prism in context.

• In this lesson you will learn how to represent 3-dimensional figures with nets.

Isolation Drills:

TenMarks Assignments:

• 6.G.4 Finding the Surface Area of 3-D Figures Using Nets
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