## Engage NY Eureka Math 6th Grade Module 3 Lesson 17 Answer Key

### Eureka Math Grade 6 Module 3 Lesson 17 Example Answer Key

Example 1.

Locate and label the points {(3, 2), (8, 4), (- 3, 8), (- 2, – 9), (0, 6), (- 1, – 2), (10, – 2)) on the grid above.

Answer:

Example 2.

Drawing the Coordinate Plane Using an Increased Number Scale for One Axis

Draw a coordinate plane on the grid below, and then locate and label the following points:

{(- 4, 20), (- 3, 35), (1, – 35), (6, 10), (9, – 40)}.

Answer:

Example 3.

Drawing the Coordinate Plane Using a Decreased Number Scale for One Axis

Draw a coordinate plane on the grid below, and then locate and label the following points:

{(0. 1, 4), (0. 5, 7), (- 0.7, – 5), (- 0.4, 3), (0.8, 1))}.

Answer:

Example 4.

Drawing the Coordinate Plane Using a Different Number Scale for Both Axes

Determine a scale for the x-axis that will allow all x-coordinates to be shown on your grid.

Answer:

The grid is 16 units wide, and the x-coordinates range from – 14 to 14. If I let each grid line represent 2 units, then the x-axis will range from – 16 to 16.

Determine a scale for the y-axis that will allow all y-coordinates to be shown on your grid.

Answer:

The grid is 16 units high, and the y-coordinates range from – 4 to 3. 5. I could let each grid line represent one unit, but if I let each grid line represent \(\frac{1}{2}\) of a unit, the points will be easier to graph.

Draw and label the coordinate plane, and then locate and label the set of points.

{(- 14, 2), (- 4, – 0. 5), (6,- 3. 5), (14, 2. 5), (0, 3.5), (- 8, – 4)}

Answer:

### Eureka Math Grade 6 Module 3 Lesson 17 Problem Set Answer Key

Question 1.

Label the coordinate plane, and then locate and label the set of points below.

{(0.3, 0.9), (- 0.1, 0.7), (- 0.5, – 0.1), (- 0.9, 0.3), (0, – 0.4)}

Answer:

Question 2.

Label the coordinate plane, and then locate and label the set of points below.

{(90, 9), (- 110, – 11), (40, 4), (- 60, – 6), (- 80, – 8)}

Answer:

Extension:

Question 3.

Describe the pattern you see in the coordinates In Problem 2 and the pattern you see in the points. Are these patterns consistent for other points too?

Answer:

The x-coordinate for each of the given points is 10 times its y-coordinate. When I graphed the points, they appear to make a straight line. I checked other ordered pairs with the same pattern, such as (- 100, – 10), (20, 2), and even (0, 0), and it appears that these points are also on that line.

### Eureka Math Grade 6 Module 3 Lesson 17 Exit Ticket Answer Key

Question 1.

Determine an appropriate scale for the set of points given below. Draw and label the coordinate plane, and then locate and label the set of points.

{(10, 0. 2), (- 25, 0.8), (0, – 0.4), (20, 1), (- 5, – 0. 8)}

Answer:

The x-coordinates range from – 25 to 20. The grid is 10 units wide. If I let each grid line represent 5 units, then the x-axis will range from – 25 to 25.

The y-coordinates range from – 0.8 to 1. The grid is 10 units high. If I let each grid line represent two-tenths of a unit, then the y-axis will range from – 1 to 1.

### Eureka Math Grade 6 Module 3 Lesson 17 Opening Exercise Answer Key

Question 1.

Draw all necessary components of the coordinate plane on the blank 20 × 20 grid provided below, placing the origin at the center of the grid and letting each grid line represent 1 unit.

Answer: