Lesson 12
Constructing the Coordinate Plane
Problem 1
Draw and label an appropriate pair of axes and plot the points.
\((\frac15, \frac45)\)
\((\text{}\frac {3}{5}, \frac25)\)
\((\text1 \frac15, \text{}\frac {4}{5})\)
\((\frac15, \text{}\frac {3}{5})\)
Solution
For access, consult one of our IM Certified Partners.
Problem 2
Diego was asked to plot these points: \((\text50, 0)\), \((150, 100)\), \((200, \text100)\), \((350, 50)\), \((\text250, 0)\). What interval could he use for each axis? Explain your reasoning.
Solution
For access, consult one of our IM Certified Partners.
Problem 3
 Name 4 points that would form a square with the origin at its center.
 Graph these points to check if they form a square.
Solution
For access, consult one of our IM Certified Partners.
Problem 4
Which of the following changes would you represent using a negative number? Explain what a positive number would represent in that situation.
 A loss of 4 points
 A gain of 50 yards
 A loss of $10
 An elevation above sea level
Solution
For access, consult one of our IM Certified Partners.
(From Unit 7, Lesson 5.)Problem 5
Jada is buying notebooks for school. The cost of each notebook is $1.75.
 Write an equation that shows the cost of Jada’s notebooks, \(c\), in terms of the number of notebooks, \(n\), that she buys.

Which of the following could be points on the graph of your equation?
\((1.75, 1)\)
\((2, 3.50)\)
\((5, 8.75)\)
\((17.50, 10)\)
\((9, 15.35)\)
Solution
For access, consult one of our IM Certified Partners.
(From Unit 6, Lesson 16.)Problem 6
A corn field has an area of 28.6 acres. It requires about 15,000,000 gallons of water. About how many gallons of water per acre is that?
5,000
50,000
500,000
5,000,000
Solution
For access, consult one of our IM Certified Partners.
(From Unit 5, Lesson 13.)