Unit 5 Functions & Volume
Lesson
Standards
Learning Targets
Additional Resources
Lesson 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: G8U5V1 Inputs and Outputs From Illustrative Mathematics
Lesson 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: G8U5V1 Inputs and Outputs From Illustrative Mathematics
Lesson 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: G8U5V1 Inputs and Outputs From Illustrative Mathematics
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: G8U5V2 Representing and Interpreting Functions From Illustrative Mathematics
Lesson 5:
I can explain the story told by the graph of a function.
Lesson 6:
I can draw the graph of a function that represents a real-world situation.
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: G8U5V2 Representing and Interpreting Functions From Illustrative Mathematics
Lesson 7:
I can compare inputs and outputs of functions that are represented in different ways.
Lesson 8:
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
Modeling 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: G8U5V3 Linear Functions and Rates of Change From Illustrative Mathematics
Lesson 9:
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.
Lesson 10:
I can create graphs of non-linear functions with pieces of linear functions.
Lesson 11:
I can describe the graph of a function in words.
I can collect data about a function and represent it as a graph.
Digital Manipulative
Illustrative Mathematics
Video Lesson Summary: G8U5V4 Cylinders and Cones From Illustrative Mathematics
Lesson 12:
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.
Lesson 13:
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.
Khan Academy Video
Cylinder Volume & Surface Area
Khan Academy Practice
IXL Math
Geogebra Volume of Cylinder vs Cone
Video Lesson Summary: G8U5V4 Cylinders and Cones From Illustrative Mathematics
Lesson 14:
I can find missing information about a cylinder if I know its volume and some other information.
Lesson 15:
I know the formula for the volume of a cone.
I can find the volume of a cone in mathematical and real-world situations.
Khan Academy Video
Khan Academy Practice
Geogebra https://www.geogebra.org/m/xfQcUDkE
IXL Math
Video Lesson Summary: G8U5V4 Cylinders and Cones From Illustrative Mathematics
Lesson 16:
I can find missing information about a cone if I know its volume and some other information.
Lesson 17:
I can explain in my own words why changing the height by a scale factor changes the volume by the same scale factor.
I can create a graph of the relationship between volume and height for all cylinders (or cones) with a fixed radius.
Digital Manipulative
Khan Academy Video
Lesson 18:
Addressing:
NC.8.F.3
NC.8.F.5
NC.8.G.9
Building On:
NC.6.EE .2
I can explain in my own words why changing the radius by a scale factor changes the volume by the scale factor squared.
I can create a graph representing the relationship between volume and radius for all cylinders (or cones) with a fixed height.
Lesson 19:
I can find the volume of a sphere when I know the radius.
Khan Academy Video
Khan Academy Practice
IXL Math
Video Lesson Summary: G8U5V5 Spheres From Illustrative Mathematics
Lesson 20:
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.
Lesson 21:
I can compare functions about volume represented in different ways..