Match Equal Points on Two Number Lines
Written by Adi Ackerman, Head Teacher
"Match Equal Points on Two Number Lines" is written for 3rd Grade (Ages 8-9), and it covers Common Core 3.NF.A.3.A. If your little one is a year younger but already steady on fractions and decimals, the page still works. You may just need to read the instructions out loud. And if they are older and equivalent fractions never quite stuck, this is a short review rather than busywork.
3rd grade math worksheet: line up points on paired number lines to find equivalent fractions, such as 3/4 = 6/8 and 1/3 = 2/6. Answer key included. Part of our equivalent fractions collection. Aligned to Common Core standards.
How do I use this worksheet?
Start with the shape model and fraction bar pages, where the shaded amounts can be compared by eye. Then move to the number line pages, and finish with the pages on whole numbers as fractions.
What students will practice
- Students will find a fraction on a top number line and look straight down.
- Students will count parts on the lower line to write the equal fraction.
- Students will find pairs such as 3/4 = 6/8 and 1/3 = 2/6.
Curriculum Links
Common Core State Standards
Number and Operations-Fractions · 3rd Grade
Standard: Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line.
View all 3.NF.A.3.A worksheets →Find this in the curriculum
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FAQ
How do I use this equivalent fractions worksheet?
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Start with the shape model and fraction bar pages, where the shaded amounts can be compared by eye. Then move to the number line pages, and finish with the pages on whole numbers as fractions.
What does this worksheet teach?
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Line up points on paired number lines to find equivalent fractions, such as 3/4 = 6/8 and 1/3 = 2/6. Equivalent fractions name the same amount of a whole. They sit at the same point on number lines of the same length. The directions on the page read: Find the fraction on the top number line. Then, look straight down to the line below and count its parts to write the equivalent fraction in the box. An answer key is included.
Can I use this equivalent fractions worksheet for homeschool or classroom?
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Yes, both. We made it for 3rd Grade fractions and decimals, and the page works the same whether it lands on a kitchen table or a center rotation. At home, most families go through it together and talk the answers out loud, and that talking is where most of the learning happens with equivalent fractions. In class it runs well as independent work while you pull a small group. Print one copy or thirty, whichever the day needs.
How do I introduce a number line to a five year old?
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Treat it as a path rather than a picture: your child puts a finger on a number and hops along it, saying each number as they land. Hopping physically is what makes the line make sense. Reading it as a diagram comes much later.
Why use a number line instead of counting objects?
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Objects show how many. A number line shows order and distance, which objects cannot. It is the first tool that makes the gap between numbers visible, and it becomes essential for skip counting, comparison, and later for negative numbers and fractions.
My child counts the marks instead of the hops. Is that a problem?
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It is the classic number line mistake and worth correcting gently. Count the jumps between numbers, not the numbers themselves. Saying "hop" out loud with each move usually fixes it within a session or two.
What are equivalent fractions?
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Equivalent fractions name the same amount of the same whole with different numbers. 1/2, 2/4 and 4/8 all shade the same length of the same bar.
How do number lines show equivalent fractions?
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Equivalent fractions sit at the same point on number lines of the same length. On Match Equal Points on Two Number Lines, 3/4 on a fourths line lines up with 6/8 on an eighths line.
How can a whole number be a fraction?
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When the numerator and denominator are the same, the fraction is one whole, so 4/4 = 1. Two wholes cut in halves make 4/2 = 2, and a whole not cut at all is 1/1.
Is there an answer key?
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Yes. All 10 sheets have an answer key.
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Worksheet Details
| Grade | 3rd Grade |
| Subject | Math |
| Topic | Fractions And Decimals |
| Standard | 3.NF.A.3.A |
| Pages | 1 page |
| Difficulty | Medium |
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