do now 1/21/14 copy hw in your planner. text page 208, #11-20 all, 22-28 evens in your journal,...
TRANSCRIPT
Do Now 1/21/14
Copy HW in your planner.Text page 208, #11-20 all, 22-28 evens
In your journal, answer the following question. There are two skateboard ramps at a skate park. One ramp is 12 ft long and 6 ft tall. The other is 10 ft long and 8 ft tall. Which ramp do you think is steeper? How can you tell?
Be ready to copy POTW #5.
Hands-On Lab“Graph Proportional Relationships”
Activity #1Time (x) 1 2 3 4 5 6
Distance (y)
1/4 1/2 3/4 1 1 1/4 1 1/21)
2)
3)
4)
Think and DiscussThink and Discuss
1) Yes, it represents 0 miles per minute, or the start of DeNae’s bike ride.
2)
Try ThisTry This
1)
Hands-On Lab“Graph Proportional Relationships”
Activity #2Time (x) 5 10 15 20 25 30
Distance (y)
1 2 3 4 5 61)
2)
3)
4)
Think and DiscussThink and Discuss
1) Each point on the line is an equivalent rate.
2)
Try ThisTry This
1) 12 mi/h
Hands-On Lab“Graph Proportional Relationships”
Activity #2
2) The shape of the graph is a straight line.
3) Yes, the graph a proportional relationship will go through the origin.
3)
4) 60 miles traveled in 5 hours.
Objective
SWBAT determine the slope of a line and recognize constant and variable rates of change
Section 5.3 Section 5.3 “S“Slope and Rates of Changelope and Rates of Change””
The The SLOPESLOPE of a line is a measure of of a line is a measure of its steepness. It is the ratio of the rise its steepness. It is the ratio of the rise compared to the run.compared to the run.
Slope = Slope = rise rise = = vertical changevertical change run horizontal change run horizontal change
Types of SlopeTypes of Slope
yy
xx
runrun
riserise
““Positive slope”Positive slope”yy
xx
runrun
riserise
““Negative slope”Negative slope”
The line rises fromThe line rises fromleft to right.left to right.
The line falls fromThe line falls fromleft to right.left to right.
Identifying slope of a line
Tell whether the slope is positive or negative. Then find the slope.
Slope = Slope = rise rise run run
4
6
23
==
Identifying slope of a line
Tell whether the slope is positive or negative. Then find the slope.
Slope = Slope = rise rise run run
-6
3
-21
==
11
22
33
44
55
00 11 22 33 44 55 66
y-axisy-axis
x-axisx-axis-6-6 -5-5 -4-4 -3-3 -2-2 -1-1
-5-5
-4-4
-3-3
-2-2
-1-1
Using Slope and a Point to Graph a Using Slope and a Point to Graph a LineLine
Use the given slope and point to graph the line.Use the given slope and point to graph the line.
slopeslope pointpoint
Slope ofSlope of -2 means: -2 means: run
rise
1
2
Slope ofSlope of -2 means: -2 means: run
rise
12
OROR
11
22
33
44
55
00 11 22 33 44 55 66
y-axisy-axis
x-axisx-axis-6-6 -5-5 -4-4 -3-3 -2-2 -1-1
-5-5
-4-4
-3-3
-2-2
-1-1Slope ofSlope of 2/3 means: 2/3 means: run
rise
3
2
Slope ofSlope of 2/3 means: 2/3 means: run
rise
3
2OROR
slopeslope pointpoint
Using Slope and a Point to Graph a Using Slope and a Point to Graph a LineLine
Use the given slope and point to graph the line.Use the given slope and point to graph the line.
11
22
33
44
55
00 11 22 33 44 55 66
y-axisy-axis
x-axisx-axis-6-6 -5-5 -4-4 -3-3 -2-2 -1-1
-5-5
-4-4
-3-3
-2-2
-1-1
Using Slope and a Point to Graph a Using Slope and a Point to Graph a LineLine
Use the given slope and point to graph the line.Use the given slope and point to graph the line.
slopeslope pointpoint
Slope ofSlope of -3/4 means: -3/4 means: run
rise
4
3
Slope ofSlope of -3/4 means: -3/4 means: run
rise
43
OROR
Rates of ChangeRates of Changethe ratio of two quantities.
ConstantConstantrate of changerate of change
-describes changes of the same amount during equal intervals. The graph is a LINE.
VariableVariablerate of changerate of change
-describes changes of a different amount during equal intervals. The graph is a NOT a line.
Identifying Rates of ChangeTell whether each graph shows a constant rate of change or a variable rate of
change. If the graph shows a constant rate of change describe it.
Variable Constant;
Positive slopeof 3.
Variable Constant;
Positive slope
of 20mph.
Homework
Text page 208, #1-20 all, 22-28 evens
“Knock Knock…”