Unit 8 Functions & Volume
Accelerated Lesson
( Note, some activities are marked "OPTIONAL" in the student workbook to meet the accelerated pace.)
Standards
Learning Targets
Additional Resources
1
I can write rules when I know input-output pairs.
I know how an input-output diagram represents a rule.
Digital Manipulative
Math Is Fun
YouTube Videos
IXL Math
Video Lesson Summary: Inputs and Outputs From Illustrative Mathematics
2
I know that a function is a rule with exactly one output for each allowable input.
I know that if a rule has exactly one output for each allowable input, then the output depends on the input.
YouTube Videos
Math Is Fun
Khan Academy Video
Khan Academy Practice
Recognize Functions from Tables
IXL Math
Video Lesson Summary: Inputs and Outputs From Illustrative Mathematics
3
I can find the output of a function when I know the input.
I can name the independent and dependent variables for a given function and represent the function with an equation.
Khan Academy Video
YouTube Video
Khan Academy Practice
Video Lesson Summary: Inputs and Outputs From Illustrative Mathematics
4
I can use a graph of a function to find the output for a given input and to find the input(s) for a given output.
I can identify graphs that do, and do not, represent functions.
Khan Academy Video
Khan Academy Practice
Modeling with Tables, Equations and Graphs
IXL Math
Video Lesson Summary: Representing and Interpreting Functions From Illustrative Mathematics
5
I can explain the story told by the graph of a function.
I can draw the graph of a function that represents a real-world situation.
More Graphs of Functions
Khan Academy Video
Interpreting a Graph Exercise Example
Khan Academy Practice
Evaluate Functions from their Graphs
Interpreting Graphs of Functions
Even More Graphs of Functions
Digital Manipulative
6.3: Sketching a Story about a Boy and a Bike
Khan Academy Video
Interpreting a Graph Exercise Example
Khan Academy Practice
Evaluate Functions from their Graphs
Interpreting Graphs of Functions
Video Lesson Summary: Representing and Interpreting Functions From Illustrative Mathematics
6
I can compare inputs and outputs of functions that are represented in different ways.
7
I can explain in my own words how the graph of a linear function relates to its rate of change and initial value.
I can determine whether a function is increasing or decreasing based on whether its rate of change is positive or negative.
Khan Academy Videos
Linear Graphs Word Problems: Cats
Linear Equation Word Problems: Earnings
Model with Linear Equations: Snow
Comparing Linear Functions Word Problems: Climb
Comparing Linear Functions Word Problems: Work
Linear Functions Word Problems: Fuel
Linear Functions Word Problems: Pool
Khan Academy Practice
Linear Equations Word Problems: Graphs
Comparing Linear Function Word Problems
Graphing Linear Relationships Word Problems
Linear and Nonlinear Functions
IXL Math
Compare Linear Functions: Graphs and Equations
Video Lesson Summary: Linear Functions and Rates of Change From Illustrative Mathematics
8
I can decide when a linear function is a good model for data and when it is not.
I can use data points to model a linear function.
I can create graphs of non-linear functions with pieces of linear functions.
Linear Models
Digital Manipulative
Khan Academy Practice
Writing Linear Functions Word Problems
IXL Math
Identify Linear and Non-Linear Functions: Tables
Piecewise Linear Functions
Khan Academy Video
Introduction to Piecewise Functions
Math is Fun
Video Lesson Summary: Linear Functions and Rates of Change From Illustrative Mathematics
9
I can describe the graph of a function in words.
I can collect data about a function and represent it as a graph.
I recognize the 3D shapes cylinder, cone, rectangular prism, and sphere.
I know that volume is the amount of space contained inside a three-dimensional figure.
Filling Containers
Digital Manipulative
Illustrative Mathematics
How Much Will Fit?
Khan Academy Videos
Video Lesson Summary: Cylinders and Cones From Illustrative Mathematics
10
Addressing:
NC.8.G.9
Building On:
NC.6.G.2
NC.7.G.4
I can find the volume of a cylinder in mathematical and real-world situations.
I know the formula for volume of a cylinder.
I can find missing information about a cylinder if I know its volume and some other information.
The Volume of a Cylinder
Khan Academy Video
Khan Academy Practice
IXL Math
Geogebra https://www.geogebra.org/m/xfQcUDkE
Finding Cylinder Dimensions
YouTube Video
Calculate the Radius of a Cylinder When Given Its Volume and Height
Video Lesson Summary: Cylinders and Cones From Illustrative Mathematics
11
I know the formula for the volume of a cone.
I can find the volume of a cone in mathematical and real-world situations.
I can find missing information about a cone if I know its volume and some other information.
The Volume of a Cone
Khan Academy Video
Khan Academy Practice
Geogebra https://www.geogebra.org/m/xfQcUDkE
IXL Math
Finding Cone Dimensions
YouTube Video
Calculate the Height of a Cone Given Its Volume and Radius
IXL Math
Video Lesson Summary: Cylinders and Cones From Illustrative Mathematics
12
I can find the volume of a sphere when I know the radius.
Khan Academy Video
Khan Academy Practice
IXL Math
Video Lesson Summary: Spheres From Illustrative Mathematics
13
I can solve mathematical and real-world problems about the volume of cylinders, cones, and spheres.
I can find the radius of a sphere if I know its volume.
I can compare functions about volume represented in different ways.
Cylinders, Cones, and Spheres
Khan Academy Practice
Volume of Cylinders, Spheres and Cones Word Problems
Video Lesson Summary: Spheres From Illustrative Mathematics