Cogito
Grade 6 Math · Chapter 6 · Lesson 1
What Solving Means
Finding the values that make it true.
10 problems · about 16 minutes · 6.EE.B.5
What this lesson teaches
The child understands solving an equation as finding the values that make it true.
- An equation claims two sides are equal.
- A solution is a value that makes the claim true.
- Testing a value is a legitimate way to check.
Warm-Up Review
From earlier lessons. Loosen up before the new work.
2 problemsReview — Expanding Brackets: Expand 5(n + 3). What is the number term?
Answer 15
Why 5n + 15.
Review — Combining Like Terms: Simplify 6n + 3n. How many n?
Answer 9
Why 9n.
Warm Up
Straightforward practice. Get the method working first.
4 problemsWhat value of n makes n + 8 = 15 true?
Answer 7
Why 7.
What does the equals sign say?
Answer Both sides are the same amount.
Why It states that two sides are equal.
What is n + 6 when n = 9?
Answer 15
Why 9 + 6.
What is 3n when n = 7?
Answer 21
Why 3 × 7.
Build It Up
The same ideas with more to keep track of.
2 problemsWhat value of n makes n + 4 = 11 true?
Answer 7
Why 11 − 4.
What value of n makes 5n = 30 true?
Answer 6
Why 30 ÷ 5.
Stretch Yourself
Mixed problems. Work out what kind of question it is before you start.
2 problemsThe Test: Is 4 a solution of n + 3 = 7? Enter the value of n + 3 when n is 4.
Answer 7
Why 7, which matches, so yes.
The Other Test: What is 2n − 1 when n = 6?
Answer 11
Why 11.