Reason using Benchmarks to Compare Two Fractions on the Number Line
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Lesson Plans and Worksheets for Grade 4
Lesson Plans and Worksheets for all Grades
More Lessons for Grade 4
Common Core For Grade 4
Examples, solutions, and videos to help Grade 4 students learn how to reason using benchmarks to compare two fractions on the number line.
Common Core Standards: 4.NF.2
Problem 1: Reason about the size of a fraction compared to 1/2.
Problem 2: Plot points on a number line by thinking about fractions in relation to 0, 1/2, or 1. Compare the fractions.
Problem 3: Use the benchmarks 0, 1/2, and 1 to compare two fractions without using a number line. Lesson 12 Benchmarks
What is a "benchmark" in learning about fractions?
Lesson 12 Problem Set 1
1. a. Plot the following points on the number line without measuring.
i. 1/3
ii. 5/6
iii. 7/12
b. Use the number line in Part (a) to compare the fractions by writing <, > or = on the lines:
i. 7/12 ____ 1/2
ii. 7/12 ____ 5/6
2. a. Plot the following points on the number line without measuring.
i. 11/12
ii. 1/4
iii. 3/8
b. Select two fractions from Part (a), and use the given number line to compare them by writing <, > or =.
3. Compare the fractions given below by writing < or > on the lines.
Give a brief explanation for each answer referring to benchmark fractions 0, 1/2, and 1.
a. 1/2 ___ 3/4
b. 1/2 ___ 7/8
c. 2/3 ___ 2/5
d. 9/10 ___ 3/5 Lesson 12 Homework
1. a. Plot the following points on the number line without measuring.
i. 2/3
ii. 1/6
iii. 4/10
b. Use the number line in Part (a) to compare the fractions by writing >, < or = on the lines:
2. a. Plot the following points on the number line without measuring.
i. 5/12
ii. 3/4
iii. 2/6
b. Select two fractions from Part (a), and use the given number line to compare them by writing > ˂ or =.
c. Explain how you plotted the points in Part (a).
3. Compare the fractions given below by writing > or < on the lines.
Give a brief explanation for each answer referring to benchmark fractions of 0, 1/2, and 1.
You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
Lesson Plans and Worksheets for Grade 4
Lesson Plans and Worksheets for all Grades
More Lessons for Grade 4
Common Core For Grade 4
Examples, solutions, and videos to help Grade 4 students learn how to reason using benchmarks to compare two fractions on the number line.
Common Core Standards: 4.NF.2
New York State common Core Grade 4 Module 5, Lesson 12
Grade 4, Module 5, Lesson 12 Worksheets
Lesson 12 Concept DevelopmentProblem 1: Reason about the size of a fraction compared to 1/2.
Problem 2: Plot points on a number line by thinking about fractions in relation to 0, 1/2, or 1. Compare the fractions.
Problem 3: Use the benchmarks 0, 1/2, and 1 to compare two fractions without using a number line. Lesson 12 Benchmarks
What is a "benchmark" in learning about fractions?
1. a. Plot the following points on the number line without measuring.
i. 1/3
ii. 5/6
iii. 7/12
b. Use the number line in Part (a) to compare the fractions by writing <, > or = on the lines:
i. 7/12 ____ 1/2
ii. 7/12 ____ 5/6
2. a. Plot the following points on the number line without measuring.
i. 11/12
ii. 1/4
iii. 3/8
b. Select two fractions from Part (a), and use the given number line to compare them by writing <, > or =.
3. Compare the fractions given below by writing < or > on the lines.
Give a brief explanation for each answer referring to benchmark fractions 0, 1/2, and 1.
a. 1/2 ___ 3/4
b. 1/2 ___ 7/8
c. 2/3 ___ 2/5
d. 9/10 ___ 3/5 Lesson 12 Homework
1. a. Plot the following points on the number line without measuring.
i. 2/3
ii. 1/6
iii. 4/10
b. Use the number line in Part (a) to compare the fractions by writing >, < or = on the lines:
2. a. Plot the following points on the number line without measuring.
i. 5/12
ii. 3/4
iii. 2/6
b. Select two fractions from Part (a), and use the given number line to compare them by writing > ˂ or =.
c. Explain how you plotted the points in Part (a).
3. Compare the fractions given below by writing > or < on the lines.
Give a brief explanation for each answer referring to benchmark fractions of 0, 1/2, and 1.
Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.
You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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