Cogito
Grade 6 Math · Chapter 4 · Lesson 6
Distance on the Coordinate Plane
Counting the gap between two points.
10 problems · about 18 minutes · 6.NS.C.8, 6.G.A.3
Figure — use these to answer the problems
Warm-Up Review
From earlier lessons. Loosen up before the new work.
3 problemsFrom “Ordering Negative Numbers”
Which is smaller, −7 or −4?
AnswerFrom “Opposites”
What is −(−8)?
AnswerFrom “All Four Quadrants”
How far is it from (−3, 4) to (6, 4)?
Answer
Warm Up
Straightforward practice. Get the method working first.
3 problemsDistance from (−3, 2) to (5, 2)?
AnswerDistance from (2, 5) to (2, 9)?
AnswerDistance from (−5, 0) to (−1, 0)?
Answer
Build It Up
The same ideas with more to keep track of.
2 problemsDistance from (0, −3) to (0, 6)?
AnswerDistance from (−6, 1) to (−2, 1)?
Answer
Stretch Yourself
Mixed problems. Work out what kind of question it is before you start.
2 problemsThe Horizontal Gap
How far is it from (1, 4) to (9, 4)?
AnswerAcross Zero
How far is it from (−4, 2) to (3, 2)?
Answer