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Cogito

Grade 6 Math · Chapter 4 · Lesson 3

Practice Worksheet

All Four Quadrants

The grid carries on in every direction.

10 problems · about 17 minutes · 6.NS.C.6, 6.NS.C.8

NameDate

Figure — use these to answer the problems

Move the point into each quadrant and watch the signs change.
-10-10-5-5551010
(-3, 5)
Across-3
Up5
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

2 problems

  1. From “Absolute Value”

    What is |−20|?

    Answer

  2. From “Numbers Below Zero”

    Which is smaller, −11 or −4?

    • −11.
    • −4.

Warm Up

Straightforward practice. Get the method working first.

4 problems

  1. How far is it from (−3, 4) to (6, 4)?

    Answer

  2. What does a negative first coordinate mean?

    • Go left from the origin.
    • Go down from the origin.

  3. In (−4, −7), how far up or down do you go?

    Answer

  4. How far is it from (1, −3) to (1, 5)?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. (2, 7) reflected across the horizontal axis. What is the second coordinate?

    Answer

  2. How far is it from (−6, 0) to (0, 0)?

    Answer

Stretch Yourself

Mixed problems. Work out what kind of question it is before you start.

2 problems

  1. The Reflection

    (6, −2) reflected across the vertical axis. What is the first coordinate?

    Answer

  2. The Gap

    How far is it from (−5, 3) to (2, 3)?

    Answer