Cogito
Grade 6 Math · Chapter 4 · Lesson 3
All Four Quadrants
The grid carries on in every direction.
10 problems · about 17 minutes · 6.NS.C.6, 6.NS.C.8
What this lesson teaches
The child plots and reads points in all four quadrants and finds distances between them.
- The grid has four quadrants.
- The signs of the coordinates give the directions.
- Points sharing a coordinate are a straight distance apart.
Warm-Up Review
From earlier lessons. Loosen up before the new work.
2 problemsReview — Absolute Value: What is |−20|?
Answer 20
Why 20.
Review — Numbers Below Zero: Which is smaller, −11 or −4?
Answer −11.
Why −11 is smaller, even though 11 beats 4.
Warm Up
Straightforward practice. Get the method working first.
4 problemsHow far is it from (−3, 4) to (6, 4)?
Answer 9
Why 9 units.
What does a negative first coordinate mean?
Answer Go left from the origin.
Why Negative across means left.
In (−4, −7), how far up or down do you go?
Answer -7
Why The second number.
How far is it from (1, −3) to (1, 5)?
Answer 8
Why 3 + 5.
Build It Up
The same ideas with more to keep track of.
2 problems(2, 7) reflected across the horizontal axis. What is the second coordinate?
Answer -7
Why Only the second flips.
How far is it from (−6, 0) to (0, 0)?
Answer 6
Why Distance from zero.
Stretch Yourself
Mixed problems. Work out what kind of question it is before you start.
2 problemsThe Reflection: (6, −2) reflected across the vertical axis. What is the first coordinate?
Answer -6
Why (−6, −2).
The Gap: How far is it from (−5, 3) to (2, 3)?
Answer 7
Why 7 units.