5.2: Math Man on the Slopes Created by: CK-12 Texas Instruments Algebra I Student Edition SE Graphs of Equations and Functions Edit Review Was this helpful? Submit Review Skip Review Cancel Read Resources Details This activity is intended to supplement Algebra I, Chapter 4, Lesson 4. Problem 1- Visually estimating slopes Press APPS and select Cabri Jr. Open the file MATHMAN. Math Man is cross-country skiing from left to right. Which part(s) of the hill has the best “ski slope” for Math Man? Explain. Now open the file DIPPER. You will see a representation of the “Big Dipper”, a formation commonly recognized in the night sky. The slopes of the lines of the segments are: Each segment is labeled with a letter. Match the slope with the segment. Record your answers below. How did you determine which slope belonged with which segment? Self-Check Point I already know about and what each letter means. True False Problem 2 – Exploring precise slope Open the file SLOPE. Move the point at , so the solid line has a slope of . What are the coordinates of your point? How did you determine where to place your point? What is the equation of the line in slope-intercept form? Move the point at to . Now move the other point so that you have the line . What is the slope of the line? What are the coordinates of your point? Did your method of placing the point change? Explain why or why not. Problem 3 – Slope-Intercept Equation Use the graph at the right to answer the following questions. The points and are on the line. What is the slope of the line? What is the y-intercept of the line? What is the equation of the line? Problem 4 – Assessing Understanding What kind of line has a slope equal to ? What is the slope and intercept of ? Name the slope and intercept: Name the slope: Name the slope: True or False: is the intercept of . True or False: is the intercept of . True or False: is an intercept since . Extensions 1. Draw a line on the graph at the right with intercept and any positive slope. Write its equation. 2. Draw a line on this worksheet that goes through and has slope . Write its equation. 3. Draw a horizontal line that goes through . Write its equation. Image Attributions Description No description available here... Authors: CK12 Editor Tags: TI.MAT.ENG.SE.1.Algebra-I.5 Lines CabriJr application (4 more) motion Points TRAINS slopes Categories: mathematics Algebra Grades: 9 , 10 Date Created: Feb 22, 2012 Last Modified: Dec 11, 2013 You can only attach files to None which belong to you If you would like to associate files with this None, please make a copy first.