Ch 9 - Geometry and Measurement

NC Standard -- Geometry

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

Math Study Jams

Math Scoring Guide - Practice Questions

Lessons

Metric Units
Converting Units in the Metric System
Perimeters and Areas of Rectangles
Areas of Parallelograms and Traingles
Circles and Circumferences
Area of a Circle
Three-Dimensional Figures and Spatial Reasoning
Surface Area of Prisms
Volumes of Rectangular Prisms
Surface Area of Volumes of Cylinders

9-1, Metric Units of Length, Mass, and Capacity

Length - meter
Mass - gram
Capacity - liter

9-2, Converting Units in the Metric System

Bigger to smaller - Multiply

Smaller to bigger - Divide

9-3, Perimeters and Areas of Rectangles

Perimeter = Sum of all 4 sides

Area = Multiply length x width

Solve real-world and mathematical problems involving area, surface area, and volume.

NC.6.G.1 Create geometric models to solve real-world and mathematical problems to:

Find the area of triangles by composing into rectangles and decomposing into right triangles.
Find the area of special quadrilaterals and polygons by decomposing into triangles or rectangles.

9-4, Areas of Parallelograms and Triangles

Solve real-world and mathematical problems involving area, surface area, and volume.

NC.6.G.1 Create geometric models to solve real-world and mathematical problems to:

Find the area of triangles by composing into rectangles and decomposing into right triangles.
Find the area of special quadrilaterals and polygons by decomposing into triangles or rectangles.

9-5, Circles and Circumference

Not on EOG

Circumference = pi x diamater

Circumference = 2 x pi x radius

9-6, Area of a Circle

Not on EOG

Area of a Circle = pi x radius squared

9-7, Three-Dimensional Figures and Spatial Reasoning

Prism: a three-dimensional figure with two parallel and congruent faces that are polygons. The faces are called bases.

9-8, Surface Areas of Prisms

Solve real-world and mathematical problems involving area, surface area, and volume.

NC.6.G.2 Apply and extend previous understandings of the volume of a right rectangular prism to find the volume of right rectangular prisms with fractional edge lengths. Apply this understanding to the context of solving real-world and mathematical problems.

How to Find Surface Area of Right Rectangular Prism

Multiply top and bottom
Left and right
Front and back
Then, add them all.

Polygons in the Coordinate Plane

Solve real-world and mathematical problems involving area, surface area, and volume.

NC.6.G.3 Use the coordinate plane to solve real-world and mathematical problems by:

Drawing polygons in the coordinate plane given coordinates for the vertices.
Using coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate.

9-9, Volumes of Rectangular Prisms

olve real-world and mathematical problems involving area, surface area, and volume.

NC.6.G.2 Apply and extend previous understandings of the volume of a right rectangular prism to find the volume of right rectangular prisms with fractional edge lengths. Apply this understanding to the context of solving real-world and mathematical problems.

How to Find Volume of Right Rectangular Prism

Multiply length x width x height
Multiply base (length x width) x height

9-10, Surface Areas and Volumes of Cylinders

Solve real-world and mathematical problems involving area, surface area, and volume.

NC.6.G.4 Represent right prisms and right pyramids using nets made up of rectangles and triangles, and use nets to find the surface area of these figures. Apply these techniques in the context of solving real world and mathematical problems.

Draw polygons on Coordinate Plane

NC.6.G.3 Use the coordinate plane to solve real-world and mathematical problems by:

Drawing polygons in the coordinate plane given coordinates for the vertices.
Using coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate.

What you must be able to do...

NC.6.G.1 Create geometric models to solve real-world and mathematical problems to:

• Find the area of triangles by composing into rectangles and decomposing into right triangles.

• Find the area of special quadrilaterals and polygons by decomposing into triangles or rectangles.

NC.6.G.2 Apply and extend previous understandings of the volume of a right rectangular prism to find the volume of right rectangular prisms with fractional edge lengths. Apply this understanding to the context of solving real-world and mathematical problems.

NC.6.G.3 Use the coordinate plane to solve real-world and mathematical problems by:

• Drawing polygons in the coordinate plane given coordinates for the vertices.

• Using coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate.

NC.6.G.4 Represent right prisms and right pyramids using nets made up of rectangles and triangles, and use nets to find the surface area of these figures.

Apply these techniques in the context of solving real world and mathematical problems.