Lesson Plan
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Illustrative Mathematics

Fractions and Rectangles

For Teachers 3rd - 5th Standards
Visual models are excellent teaching tools when explaining equivalent fractions. Looking at a rectangle cut into twelfths, students first identify the shaded fraction, and then explain whether the fraction is equal to one-fourth....
Lesson Plan
Illustrative Mathematics

Explaining Fraction Equivalence with Picture

For Teachers 3rd - 5th Standards
Visual models are a great tool for demonstrating the concept of equivalent fractions. Given two pictures, young mathematicians first identify each fraction and then write an explanation for why they are equivalent. Use as a guided...
Lesson Plan
1
1
Illustrative Mathematics

Equivalent fractions approach to non-repeating decimals

For Teachers 6th - 8th Standards
Trying to get your class to think of decimals as fractions and vice versa can lead to interesting discussions. After all, we can usually understand quickly that 1/4 is .25 but why is 1/7 not so easy to convert? This activity looks...
Lesson Plan
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1
Curated OER

Halves, Thirds, and Sixths

For Teachers 2nd - 4th Standards
An excellent activity that effectively pulls together the concepts of area, fractions, and equivalent fractions! Using 3x2 rectangular arrays, 3rd graders are introduced to the concept of area in terms of square units. Building on this...
Lesson Plan
Illustrative Mathematics

Dimes and Pennies

For Teachers 3rd - 5th Standards
Help your fourth graders make cents out of fractions and decimals with this short word problem. After learning that dimes are one-tenth and pennies one-hundredth of a dollar, students write a fraction and decimal for a given number...
Lesson Plan
Curated OER

Jon and Charlie's Run

For Teachers 3rd - 5th Standards
Let's use math to solve an argument. Jon and Charlie are debating about who can run farther, but who is right? That's what your class will figure out as they apply their understanding of fractions to this real-life situation. A simple,...
Lesson Plan
1
1
Illustrative Mathematics

Representing Half of a Circle

For Teachers 2nd - 4th Standards
Geometric shapes make great visual models for introducing young mathematicians to the concept of fractions. Looking at a series of four circles, students are asked to determine whether or not one half of each circle is shaded. To support...
Activity
Illustrative Mathematics

Running Laps

For Teachers 3rd - 5th Standards
If you run more laps, did you run further? Well, it depends. If the laps are different lengths, you need to do some math to answer that question. The goal of this task to is compare two fractions. Young learners represent the real-world...
Activity
1
1
North Carolina Department of Public Instruction

Fraction Card Games

For Teachers 3rd - 5th Standards
Have fun with fractions in a math card game activity! Cut out the fraction cards and use them to reinforce fraction concepts, including common denominators, parts of a whole, and equivalent fractions. 
Activity
Education Development Center

Word Problem with Rational Numbers—Balancing Bars of Soap

For Teachers 4th - 5th Standards
Here's a resource teachers won't want to wash their hands of. Given a task where a full bar of soap is on one side of a balance and 3/4 of a bar of soup and a 3/4-ounce weight is on the other side, young mathematicians must determine the...
Lesson Plan
Illustrative Mathematics

Converting Decimal Representations of Rational Numbers to Fraction Representations

For Teachers 7th - 9th Standards
A rational number is a ratio of two integers. Discuss with your class how to convert the rational numbers of repeating decimals to fractions. A good commentary on letting x equal the repeating decimal and multiplying each side of...
Activity
Curated OER

Drinking Juice

For Teachers 5th Standards
Pictures, number lines, decimal equivalents, or Cuisenaire rods can be used to show insight into the meaning of multiplying fractions.Here, Alisa drinks 3/4 of 1/2 liter of juice. To find the total volume of the juice that Alisa...
Lesson Plan
Illustrative Mathematics

Cynthia's Perfect Punch

For Teachers 3rd - 5th Standards
Using a real-world example, this problem illustrates the thought process that learners need to engage in to understand adding mixed numbers with common denominators. First by looking at estimation, and then by drawing models that...
Activity
Math Medics

S.o.s. Math: Algebra

For Students 9th - 10th Standards
This lesson provides basic instruction on the major concepts in algebra. Content includes a focus on fractions, units of conversion, complex numbers, quadratic equations, factorization and roots of polynomials, solving equations, systems...
Activity
Other

Massey University: Maths First: Fractions to Decimals

For Students 6th - 8th Standards
This site contains example problems that explain the steps for converting fractions to decimals. Students can practice the skill and check their answers immediately.
Activity
AAA Math

Aaa Math: Fractions and Equivalent Decimals

For Students 9th - 10th Standards
Explains why decimals are a type of fraction. Gives practice recognizing equivalents and games to practice the skill.
Activity
AAA Math

Aaa Math: Identifying Equivalent Decimals and Fractions

For Students 9th - 10th
This site explains why decimals are a type of fraction. Gives practice recognizing equivalents, plus games to practice the skill.