Fractions Intro
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Topics
- Fractions
- Equivalent Fractions
- Improper Fraction
- Number Line
Description
Explore fractions while you help yourself to 1/3 of a chocolate cake and wash it down with 1/2 a glass of orange juice! Create your own fractions using fun interactive objects. Match shapes and numbers to earn stars in the fractions games. Challenge yourself on any level you like. Try to collect lots of stars!
Sample Learning Goals
- Predict and explain how changing the numerator of a fraction affects the fraction's value
- Predict and explain how changing the denominator of a fraction affects the fraction's value
- Convert between a picture of a fraction, a numeric fraction, and a point on a number line
- Find matching fractions using numbers and pictures
- Make equivalent fractions using different numbers
- Match fractions in different picture patterns
- Compare fractions using numbers and patterns
Standards Alignment
Common Core - Math
1.G.A.3
Partition circles and rectangles into two and four equal shares, describe the shares using the words halves, fourths, and quarters, and use the phrases half of, fourth of, and quarter of. Describe the whole as two of, or four of the shares. Understand for these examples that decomposing into more equal shares creates smaller shares.
2.G.A.2
Partition a rectangle into rows and columns of same-size squares and count to find the total number of them.
2.G.A.3
Partition circles and rectangles into two, three, or four equal shares, describe the shares using the words halves, thirds, half of, a third of, etc., and describe the whole as two halves, three thirds, four fourths. Recognize that equal shares of identical wholes need not have the same shape.
3.NF.A.1
Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b.
3.NF.A.2
Understand a fraction as a number on the number line; represent fractions on a number line diagram.
3.NF.A.2a
Represent a fraction 1/b on a number line diagram by defining the interval from 0 to 1 as the whole and partitioning it into b equal parts. Recognize that each part has size 1/b and that the endpoint of the part based at 0 locates the number 1/b on the number line.
3.NF.A.2b
Represent a fraction a/b on a number line diagram by marking off a lengths 1/b from 0. Recognize that the resulting interval has size a/b and that its endpoint locates the number a/b on the number line.
3.NF.A.3
Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.
3.NF.A.3a
Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line.
3.NF.A.3b
Recognize and generate simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3. Explain why the fractions are equivalent, e.g., by using a visual fraction model.
3.NF.A.3d
Compare two fractions with the same numerator or the same denominator by reasoning about their size. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.
Version 1.02
Teacher Tips
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Overview of sim controls, model simplifications, and insights into student thinking ( PDF ). |
Teacher-Submitted Activities
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Authors | Level | Type | Subject |
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| What is a Fraction? |
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Anonymous | K-5 | Other | Mathematics |
| Building Fraction Sense Using “Fractions Intro PhET Simulation” |
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Philippe Guegan | K-5 MS |
Guided Discuss |
Mathematics | |
| Fractions 3 Day Unit |
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Meaghan Hixson | K-5 | Guided | Mathematics | |
| What is a Fraction? Day 1 of 3 |
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Meaghan Hixson | K-5 | Guided | Mathematics | |
| Equivalent Fractions Day 3 of 3 |
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Meaghan Hixson | K-5 | Guided | Mathematics | |
| Comparing and Ordering Fractins Day 2 of 3 |
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Meaghan Hixson | K-5 | Guided | Mathematics | |
| How do PhET simulations fit in my middle school program? |
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Sarah Borenstein | MS | Other | Physics Biology Earth Science Chemistry |
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| Alignment of PhET sims with NGSS |
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Trish Loeblein | HS | Other | Chemistry Physics Earth Science Biology |
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| CCSS Math Alignment with Sims |
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Amanda McGarry | MS K-5 HS |
Other | Mathematics | |
| MS and HS TEK to Sim Alignment | Elyse Zimmer | MS HS |
Other | Chemistry Physics Biology |
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| rtyuio | erica campbell | K-5 | Demo HW MC |
Mathematics | ||
| NGSS Simulation Alignment/Correlation | Matthew Huffine | UG-Intro MS K-5 HS |
Demo Other |
Other | ||
| Comparing Fractions with Like Numerators and Denominators | Margaret McCabe | K-5 MS |
Lab | |||
| Building Fractions | Michellle Fiumefreddo | K-5 | CQs | Mathematics | ||
| 분수 소개 SIM 사용설명서 | 이화국(Wha Kuk Lee) | MS | Demo CQs HW |
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Microsoft Windows XP/Vista/7/8.1/10 Latest version of Java
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OS X 10.9.5 or later Latest version of Java
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Latest version of Java
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| Design Team | Third-party Libraries | Thanks To |
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