Cogito
Grade 4 Math · Chapter 5 · Lesson 8
Line Plots with Fractions
Measurements that land between the whole numbers.
10 problems · about 14 minutes · 4.MD.B.4
What this lesson teaches
The child reads and makes a line plot with a scale marked in halves, quarters, and eighths.
- A line plot scale can be marked in fractions.
- Every value keeps its place, even with no marks.
- Differences are counted along the scale.
Warm-Up Review
From earlier lessons. Loosen up before the new work.
2 problemsReview — Multiplying a Fraction by a Whole Number: 4 × 2/9. What is the top number of the answer?
Answer 8
Why 8/9.
Review — Mixed Numbers: 17/5 as a mixed number. What is the whole number part?
Answer 3
Why 3 wholes, with 2 fifths left: 3 2/5.
Warm Up
Straightforward practice. Get the method working first.
4 problemsDifference between 7/8 and 2/8, in eighths?
Answer 5
Why 5/8.
How many eighths make three quarters?
Answer 6
Why 6/8 = 3/4.
How many eighths make one half?
Answer 4
Why 4/8 = 1/2.
How many eighths make one quarter?
Answer 2
Why 2/8 = 1/4.
Build It Up
The same ideas with more to keep track of.
2 problemsDifference between 6/8 and 1/8, in eighths?
Answer 5
Why 6 − 1.
Does a value with no marks keep its place on the scale?
Answer Yes. It is a number line.
Why The spacing has to stay even.
Stretch Yourself
Mixed problems. Work out what kind of question it is before you start.
2 problemsThe Pencils: The longest is 7/8 and the shortest 3/8. What is the difference, in eighths?
Answer 4 eighths
Why 4/8, which is also 1/2.
The Ribbons: 3 ribbons at 4/8 and 2 at 5/8. How many ribbons in all?
Answer 5 ribbons
Why 5 ribbons.