Cogito
Grade 3 Math · Chapter 6 · Lesson 3
Two-Step Graph Problems
Questions that need two readings.
10 problems · about 13 minutes · 3.MD.B.3, 3.OA.D.8
What this lesson teaches
The child solves one- and two-step how-many-more and how-many-fewer problems from a scaled graph.
- Read the values off the graph first.
- Write each one down as you read it.
- Then do the arithmetic in order.
Warm-Up Review
From earlier lessons. Loosen up before the new work.
2 problemsReview — Scaled Bar Graphs: A scale of 5, bar at the seventh mark. What value?
Answer 35
Why The bar shows 35.
Review — Scaled Picture Graphs: Each picture is 5. A column has 8 pictures. How many?
Answer 40
Why The column stands for 40.
Warm Up
Straightforward practice. Get the method working first.
3 problemsBars of 40, 15 and 5. How many more is the first than the other two together?
Answer 20
Why 40 − 20 = 20.
What should you do before the arithmetic?
Answer Read and write down every value you need.
Why Writing the values down separates reading from calculating.
Bars of 35 and 20. How many more is the first?
Answer 15
Why 35 − 20.
Build It Up
The same ideas with more to keep track of.
1 problemBars of 25, 15 and 30. What is the total?
Answer 70
Why Add all three.
Stretch Yourself
Mixed problems. Work out what kind of question it is before you start.
4 problemsBars of 45, 20 and 10. How many more is the first than the other two together?
Answer 15
Why 30 first.
Comparing Columns: Apples 40, balls 15. How many more apples?
Answer 25
Why There are 25 more apples.
Two Together: Balls 15 and fish 10. How many altogether?
Answer 25
Why Together they make 25.
The Two-Step: Apples 40. Balls 15 and fish 10. How many more apples than the other two together?
Answer 15
Why 40 − 25 = 15.