Unit 7, Lesson 12

Constructing the Coordinate Plane

Grade 6

Practice

Problem 1

Draw and label an appropriate pair of axes, and plot the points.

$(\frac15, \frac45)$

$(\text{-}\frac {3}{5}, \frac25)$

$(\text-1 \frac15, \text{-}\frac {4}{5})$

$(\frac15, \text{-}\frac {3}{5})$

A blank coordinate plane with 16 evenly spaced horizontal units and 12 evenly spaced vertical units.

Problem 2

Diego was asked to plot these points: $(\text-50, 0)$, $(150, 100)$, $(200, \text-100)$, $(350, 50)$, $(\text-250, 0)$. What interval could he use for each axis? Explain your reasoning.

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.

Problem 4

ForLesson 5: Using Negative Numbers to Make Sense of Contexts

Represent each of the following situations with a positive or negative number. Explain what a number with the opposite sign would represent in each situation.

a loss of 4 points
a gain of 50 yards
a loss of \$10
an elevation 23 feet above sea level

Problem 5

ForLesson 16: Two Related Quantities, Part 1

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 that she buys, $n$.
Which of the following could be points on the graph of your equation?

$(1.75, 1)$

$(2, 3.50)$

$(5, 8.75)$

$(17.50, 10)$

$(9, 15.35)$

Problem 6

ForLesson 13: Dividing a Decimal by a Decimal

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

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