Welcome.
Today you will be reviewing different types of lines. The first five activities will focus on LINEAR FUNCTIONS. Linear functions have a degree of 1.
1. Warm Up
Ask your neighbor how they are doing. Share how you are doing.
2. CREATE A LINEAR EQUATION GIVEN AN INPUT AND OUTPUT.
Follow this link to practice creating a linear equation given the input and output: Function Machine
Write down your 2 equations.
3. CREATE A LINEAR EQUATION GIVEN AN INPUT AND OUTPUT
Follow this link to practice creating a linear equation given the input and output: Function Game
Click on Advanced. Write down your equations.
4. GRAPHING LINEAR EQUATIONS.
Click on the link and go to LINE GAME. Choose a suitable level. Write down your equations.
Congratulations! You have finished the first part of class. You now know how to graph linear functions! Next you will move up a degree, and graph quadratic functions.
5. EXPLORE QUADRATIC EQUATIONS. Equation Grapher
Answer the questions in your notebook/tablet.
Change the C values in the equation. What occurs to the line?
Change the B values in the equation. What occurs to the line?
Change the A values in the equation. What occurs to the line?
Create any equation and sketch.
Now you will move up and graph cubics and quartics.
6. EXPLORE LINEAR/QUADRATIC/CUBIC EQUATIONS. Curve Fitting
For the following part, only include equations with INTEGERS.
Choose two points. Write the linear equation.
Add one more point. Provide the quadratic equation.
Add one more point. Provide the cubic equation.
Add one more point. Provide the quartic equation.
Write down what happens to lines when it is raised a degree?
You have finished exploring linear, quadratic and cubic functions.
Now meet the rest of the family. Here are the famous PARENT functions.
7. MATCH THE PARENT FUNCTIONS TO GRAPHS.
Match Parent Function To Graph (Use a 4x4 Board).
Write down your score.
8. PARENT FUNCTIONS and their GRAPHS
Go to desmos.com and create an account.
Put all the parent functions in one graph. SAVE AS PARENT FUNCTIONS. Make a duplicate.
Ignore the rest.
TRANSLATIONS TO PARENT FUNCTIONS
Use your duplicate and translate each (9) function up/down and left/right by the same value. SAVE AS TRANSLATIONS TO PARENT FUNCTIONS.
VERTICAL COMPRESSING AND STRETCHING TO PARENT FUNCTIONS
Use your duplicate and compress and stretch 5 parent functions. SAVE AS VERTICAL CHANGES TO PARENT FUNCTIONS. example: y=1/5 sin x and y=5 sin x
HORIZONTAL COMPRESSING AND STRETCHING TO PARENT FUNCTIONS.
Use your duplicate and compress and stretch 5 parent functions. SAVE AS HORIZONTAL CHANGES TO PARENT FUNCTIONS. example: y=sin1/5x and y=sin 5x
REFLECTIONS ON X AND Y TO PARENT FUNCTIONS.
Use your duplicate and reflect each (9) functions on x and on y axis. SAVE AS REFLECTIONS TO PARENT FUNCTIONS.
ignore anything below.
5. CREATE AN EQUATION GIVEN MULTIPLE POINTS. SAVE The ZOGS
Follow this link to practice Linear Equations
Write down the level you are able to reach.
10. GRAPH TRIGONOMETRIC FUNCTIONS. Trig Tour
What happens when you move your point along the y=sin x function?
What happens when you move your point along the y=cos x function?
Draw a circle in your notebook. Write down the 16 "special angles" along your circle.