1. Hook

2. In this lesson you will learn how to create and graph relationships
by using linear functions
Objective

3. Input Output X Y Cost Profit1 3 2
3.5 4
4.5 X Y 1 -3 2 -5 3 -7 4 -9
Cost
Profit 12 90 10 80 9 75 5 55
Review1: what is a function, along with input/output tables to emphasize the RELATIONSHIP between two variables

4. Review2: linear functions have straight line graphs; slope means constant rate of change

5. Cost
Profit 12 90 10 80 9 75 5 55
Common Mistake

6. We will investigate this problem:
Cris recently bought a new camera in order to start his photography business. The camera cost him $625 and the website used to post pictures costs $200. If each client pays $75 for a photo shoot, graph the relationship between his profit and number of photo shoots.
Present Problem; highlight relevant information

7. + 75*s

8. 800 Input (s) Output (p) -825 2 -675 4 -450 10 -75 11 12 75 600 400
-825 2
-675 4
-450 10
-75 11 12 75
600
400
200
Profit ($) -
200 2 4 6 8 10 12 14 16 18 20 -
400 -
600
Photo shoots (#) -
800 -
1000
LearnZillion Notes:
--Here’s a third “Core Lesson” slide for you. If you don’t need this, just delete it, and if you need more you can copy and paste the entire slide or add a blank “Core Lesson” template slide by clicking on arrow below “New Slide” menu.

9. LearnZillion Notes:
--This is the lesson conclusion. On this slide you’ll change your original lesson objective to past tense and explain what the student has just learned. You can retype it here or you can delete the text on this slide and then just copy and paste the text box from the original Lesson Objective slide and then edit it to make it past tense!

10. We will investigate this problem:
The FDA recently claimed that a person with a weight of 140 pounds should consume 1560 calories per day while a person with a weight of 180 pounds should consume 1700 calories per day. Create and graph a linear relationship between weight and recommended caloric intake.
LearnZillion Notes:
--The “Guided Practice” should include 1 practice problem that targets the skill that was used in the Core Lesson. Use the same vocabulary and process you used in the original lesson to solve this problem. You’ll be making a video in which you solve this question using your tablet and pen, so all you need to do is write the question on this slide.

11. 1700-1560 = 3.5 180 - 140 LearnZillion Notes:
--The “Guided Practice” should include 1 practice problem that targets the skill that was used in the Core Lesson. Use the same vocabulary and process you used in the original lesson to solve this problem. You’ll be making a video in which you solve this question using your tablet and pen, so all you need to do is write the question on this slide.

12. Input (w)
Output (c)
1070 50
1245
100
1420
200
1770
2000
1500
1000
Calories (cal)
500
LearnZillion Notes:
--The “Guided Practice” should include 1 practice problem that targets the skill that was used in the Core Lesson. Use the same vocabulary and process you used in the original lesson to solve this problem. You’ll be making a video in which you solve this question using your tablet and pen, so all you need to do is write the question on this slide. 50
100
150
200
Weight (lbs)

13. Find the “break-even” point for Cris’s camera business
Find the “break-even” point for Cris’s camera business. How would the number of photoshoots needed to break even change if he charged more/less?
Use a computer to explore and write a function for eruption duration and waiting time for the geyser “Old Faithful”.
Collect data and write a function to describe the relationship between people’s height and arm span.
LearnZillion Notes:
--On the Extension Activities slide(s) you should describe 2-3 activities written with students as the audience (not teachers). Each extension activity should push the students a bit further with the lesson but in a different application or context. Each activity should be designed to take roughly minutes. Teachers will likely display the slide in class and then assign an activity to a student or group for additional practice and differentiation. Ideally, these Extension Activities will be created such that a teacher can differentiate instruction by giving more difficult extension activities to students who have shown mastery of the lesson, and less difficult activities to students who are not yet proficient.
--If you need more than one slide to list your extension activities, feel free to copy and paste this slide!

14. LearnZillion Notes:
--”Quick Quiz” is an easy way to check for student understanding at the end of a lesson. On this slide, you’ll simply display 2 problems that are similar to the previous examples. That’s it! You won’t be recording a video of this slide and when teachers download the slides, they’ll direct their students through the example on their own so you don’t need to show an answer to the question.