CP -Algebra 1
Unit 4 Student Targets
4.1 Big idea: Horizontal and Vertical Lines
1.
Target
Example
I can recognize, graph and write the equation of
horizontal and vertical line equations.
1.
a. Graph the equations y  2 and x  3 .
b. Calculate the slope of the line that passes through  4,3 and  4, 8 . Then write the equation of the line.
c. Calculate the slope of the line that passes through 7, 2 and 11, 2 . Then write the equation of the line.
d. Create a table of values for the line x  5 .
e. Create a table of values for the line y  10 .
4.2 Big Idea: Parallel and Perpendicular Lines
I can write the equation of a line parallel to a given
line that passes through a given point.
I can write the equation of a line perpendicular to a
given line that passes through a given point.
2.
Write the equation of a line that passes through 3, 3 and is parallel to the line y  2x  1 .
3.
1
Write the equation of a line that passes through 1, 7 and is perpendicular to y  x  12 .
3
4.
I can determine if lines are parallel or perpendicular
given their equations.
4.
Determine whether the pair of lines below are parallel, perpendicular or neither:
a. y  2x  5 and 3x  6 y  10
b. y  1  3 x  3 and y  3x  9
5.
I can graph linear equations of parallel and
perpendicular lines
5.
a. Graph the equation y  2x  1 .
2.
3.
b. Graph the line PARALLEL to the given liven and through the point 2, 3 .
c. Graph the line PERPENDICULAR to the given line and through the point 2, 3 .
4.3 Big Idea: Scatter Plots
6.
7.
8.
I can plot data to create a scatter plot
I can identify and justify whether a scatter plot has
negative, positive or no correlation
I can draw in and write an equation of line of best fit
from scatter plot
6-8. BY HAND, make a scatter plot of the data, describe the correlation, draw a line of best fit and write an equation for the
line of best fit.
a.
b.
9.
I can use the graphing calculator to create a scatter
plot
10.
I can use the graphing calculator to write an equation
for the line of best fit (linear regression)
I can make predictions using the line of best fit
(linear regression)
11.
x
y
0
2
1
3.5
1
2.5
2
3.5
4
4
5
5
6
5
x
y
-4
7
-3
5
-2
6
-2
3
-1
4
0
2
1
1
9-11. The table shows the amount of energy (in kilocalories) and the amount of carbohydrates (in grams) in a
100-gram serving of different fruits.
Energy
Carbohydrate
Apple
59
15.25
Banana
92
23.43
Blueberry
56
14.13
Kiwi
61
14.88
Pear
59
15.11
Strawberry
30
7.02
Mango
65
17
12.
I can use my graphing calculator to calculate and
interpret the correlation coefficient of a linear
function.
a. Make a scatter plot of the data using tables in your graphing calculator.
b. Write an equation for the line of best fit using LinReg (linear regression) on your graphing calculator.
c. A 100-gram serving of an avocado contains 161 kilocalories of energy and 7.39 grams of carbohydrates. Does an
avocado fit the trend shown by your scatter plot? Explain your reasoning.
d. Estimate how many carbohydrates a 100-gram serving on a pineapple contains if it contains 110 kilocalories of
energy.
12. Using the data from #11, what is the correlation coefficient? Describe the correlation (strong/weak
positive/negative)
4.4 Big Idea: Graphing Linear Inequalities
13.
I can determine if an ordered pair is a solution to an
inequality in two variables.
13.
Determine if the ordered pair (2, 1) is a solution to the inequality x + 2y < 4.
14.
I can graph a linear inequality in two variables
14.
Graph the following inequalities…
1
a. y   x  3
2
b. x  4
c. 3x  2y  8
Solutions
1.
y=2
2. y  2x  3
x=-3
3. y  3x  4
4a. Perpendicular
4b. Neither
6a.
1b. m=undef; x=4
6b.
Perpendicular line: m  
9a.
1c. m=0; y=-2
Positive correlation
y = .47x + 2.37
1d. all x values will be 5
Negative correlation
y = -1.13x + 2.23
b. y = .27x - .72
c. the avocado does not follow the trend
d. 28.98 grams
1e. all y values will be 10
12. 0.997 – strong positive correlation
13. not a solution
5. Parallel line: m  2
14a.
14b.
Dotted line
14c.
Solid line
Dotted line
1
2