Grade 6 Mathematics · Unit 7: Integers, Rational Numbers, and the Coordinate PlaneStandard 6.NOS.9

Lesson 7.67.6 Small Group · Group 1

Group 1 · Set BSecond form · new problems, same idea

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
Name Date Period

Learning target With my small group, I can find the distance between two points on the coordinate plane using absolute value — one step at a time, with support.

Remember7.6 Small Group · Group 1

Add the absolute values when the points are on opposite sides of 0, and subtract them when the points are on the same side. When two points share an x or a y, use absolute values to find the distance between them.

Words: Distance (Distancia)Absolute value (Valor absoluto)Horizontal distance (Distancia horizontal)Vertical distance (Distancia vertical)Coordinate plane (Plano cartesiano)

  1. 1Complete each step, then write the final answer.

    Find the distance between (−6, 1) and (2, 1).

    Show your work

    Hint The y-values are the same. −6 and 2 are on opposite sides of 0, so add |−6| and |2|.

    Final answer:
  2. 2Complete each step, then write the final answer.

    Find the distance between (−5, 3) and (4, 3).

    Show your work

    Hint Find the coordinate that is the same. Then look at the signs.

    Final answer:
  3. 3Complete each step, then write the final answer.

    In a video game, a player stands at (4, −3). A coin is at (4, 5). How many units must the player move to reach the coin?

    Show your work

    Hint The player moves straight up. Is 0 between −3 and 5?

    Final answer:
  4. 4Complete each step, then write the final answer.

    Point A is at (−3, 2). Point B is on the same horizontal line, 9 units to the right of A. What is the x-coordinate of B?

    Show your work

    Hint It takes 3 units to get from A to the y-axis. How many units are left?

    Final answer:

Explain your thinkingHow do you decide to add or subtract the distances from 0? Use Leo's mistake to explain.

Sentence starter When both points are on the same side of 0, I ___. · Leo should ___ because ___.

How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help