Cogito
Grade 5 Math · Chapter 5 · Lesson 5
Line Plots and Fraction Data
Add up measurements that are not whole numbers.
10 problems · about 15 minutes · 5.MD.B.2
What this lesson teaches
The child makes a line plot with a fraction scale and uses it to solve problems.
- A line plot scale can be marked in fractions.
- Totalling the data adds fractions with the same unit.
- Sharing the total equally is a division.
Warm-Up Review
From earlier lessons. Loosen up before the new work.
2 problemsReview — Judging an Answer with Benchmarks: About how much is 8/9 + 1/10? Nearest whole number.
Answer 1
Why About 1.
Review — Mixed Numbers with Regrouping: 4 1/3 − 2 2/3. How many whole ones in the answer?
Answer 1
Why 1 2/3.
Warm Up
Straightforward practice. Get the method working first.
4 problems5 beakers at 2/8 litre. How many eighths in all?
Answer 10
Why 10/8 litres.
How many eighths make one half?
Answer 4
Why 4 eighths.
2 beakers at 1/4 litre. How many quarters in all?
Answer 2
Why 2 × 1 quarter.
How many eighths make three quarters?
Answer 6
Why Each quarter is 2 eighths.
Build It Up
The same ideas with more to keep track of.
2 problems3 beakers at 5/8 litre. How many eighths in all?
Answer 15
Why 3 × 5 eighths.
Difference between 6/8 and 1/8, in eighths?
Answer 5
Why 6 − 1.
Stretch Yourself
Mixed problems. Work out what kind of question it is before you start.
2 problemsThe Beakers: 4 beakers at 3/8 litre each. How many eighths in all?
Answer 12 eighths
Why 12/8 litres.
The Difference: The longest is 7/8 and the shortest 2/8. What is the difference, in eighths?
Answer 5 eighths
Why 5/8.