Video Solutions to help grade 5 students learn how to investigate patterns in vertical and horizontal lines, and interpret points on the plane as distances from the axes.

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Common Core For Grade 5

Lesson 5 Concept Development

Problem 1: Identify the pattern in coordinate pairs that results in horizontal lines.

Problem 2: Identify the pattern in coordinate pairs that results in vertical lines.

1. Use the coordinate plane below to answer the following questions.

a. Use a straightedge to construct a line that goes through points A and B. Label the line e.

b. Line is parallel to the __-axis and is perpendicular to the __-axis.

c. Plot two more points on line e. Name them C and D.

d. Give the coordinates of each point below.

e. What do all of the points of line e have in common?

f. Give the coordinates of another point that would fall on line e with an x-coordinate greater than 15.

2. Plot the following points on the coordinate plane to the right.

a. Use a straightedge to draw a line to connect these points. Label the line h.

b. In line h, x = ___ for all values of y.

c. Circle the correct word.

Line h is parallel or perpendicular to the x-axis.

Line h is parallel or perpendicular to the y-axis.

d. What pattern occurs in the coordinate pairs that let you know that line h is vertical?

3. For each pair of points below, think about the line that joins them. For which pairs the x-axis? Circle your answer(s). Without plotting them, explain how you know.

4. For each pair of points below, think about the line that joins them. For which pairs is the line parallel to the y-axis? Circle your answer(s). Then, give 2 other coordinate pairs that would also fall on this line.

5. Write the coordinate pairs of 3 points that can be connected to construct a line that is 5 1/2 units to the right of and parallel to the y-axis.

a. ______ b. _____ c. _____

6. Write the coordinate pairs of 3 points that lie on the x-axis.

a. ______ b. _____ c. ______

7. Adam and Janice are playing Battleship. Presented in the table is a record of Adam’s guesses so far.

He has hit Janice’s battleship using these coordinate pairs. What should he guess next? How do you know? Explain, using words and pictures.

2. Plot the following points on the coordinate plane to the right.

a. Use a straightedge to draw a line to connect these points. Label the line f.

b. In line f, x = ______ for all values of y.

c. Circle the correct word:

Line f is parallel perpendicular to the x-axis.

Line f is parallel perpendicular to the y-axis.

d. What pattern occurs in the coordinate pairs that make line vertical?

3. For each pair of points below, think about the line that joins them. For which pairs is the line parallel to the -axis? Circle your answer(s). Without plotting them, explain how you know.

a. (3.2, 7) and (5, 7)

b. (8, 8.4) and (8, 8.8)

c. (6 1/2, 12) and (6.2, 11)

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