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Activity 1: Slope-Intercept Form of a Line
Teachers Guide
Objective: Students will learn how the values of the slope and the y-intercept affect the graphs of linear functions.
TEKS:
Overview: Students will contribute their own equations and analyze the graphs. Students will make their own conclusions on how the slope and y-intercept of a line affect the graphs.
Discuss with students the Slope-Intercept Form of a Line (y = mx + b). Discuss the variables m and b and what they represent.
Before the activity
Load Activity1.act
Students login to NAVNET ( Activity Center.
It is a good idea to assign students numbers, unless you are willing to allow them to use any numbers they want.
Activity:
Graph f(x) = x, discuss the parent function
1. Parent Function _____________________ Slope is _____________ Y-intercept is _____________
Students will submit their own equations with certain conditions. Discuss with students any incorrect graphs. Leave the parent function displayed at all times.
Condition 1: graph any equation where m > 1.
2. What do you notice about the graphs?____________________________________________________
3. What happens as the slope increases? ____________________________________________________
Condition 2: Graph any linear equation where 0 < m < 1
4. What do you notice about the graphs?____________________________________________________
5. What happens as the slope increases? ____________________________________________________
Condition 3: Graph any linear equation where m < 0
6. What do you notice about the graphs?____________________________________________________
7. What happens as the slope decreases? ____________________________________________________
8. Write your conclusion on how the slope affects the graph of a linear equation.
Remove the Parent Function from the graph. All students will submit an equation with the same slope, for example all students will submit an equation where the slope is 3. Display in Graph-Equation mode in AC
9. What do you notice about the graphs of the lines?
10. What is the same about the equations?
11. Make a conclusion based on your observations.
All students will submit an equation with the same y-intercept, for example all students will submit an equation where the y-intercept is 3. Display in Graph-Equation mode in AC
12. What do you notice about the graphs of the lines?
13. What is the same about the equations?
14. Make a conclusion based on your observations.
Summarize the important things that students should learn for this topic. Use QP to do quickly assess students understanding. Send the students the Learning Check file Activity1.edc (contains 10 questions).
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