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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, learners first identify the shaded fraction, and then explain whether the fraction is equal to one-fourth....
Lesson Plan
Curated OER

Teaching fractions & ratios with M&Ms

For Teachers 3rd - 6th
Students collect data using M&Ms, fill in charts, and write ratios and fractions for each color M&M.
Lesson Plan
Curated OER

7th Grade Math Circle Graphs

For Teachers 7th
Seventh graders are able to develop (synthesis) pie graphs with the class and on their own. They are told that pie charts are a graphic representation of material that can be given in the form of parts of a whole by using...
Activity
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Curated OER

Strict Parents

For Teachers 9th - 12th Standards
Are your parents or guardians strict? That's an interesting question many of your pupils are probably interested in discussing. How do you design a study directed at your high schooler to gain insight into that question? How do you...
Worksheet
Curated OER

Math in English Skills III Exercise Book: Understanding Fractions

For Students 1st - 6th
Fractions can be tricky, and there is no better way to tackle tricky topics than with a visual representation. Intended for learners in grades two and three, this set of printable worksheets provides a variety of fractions represented in...
Worksheet
Mt. San Antonio Collage

Graphs of Rational Functions

For Students 9th - 12th Standards
Sometimes graphing rational functions can feel a little "irrational." Starting with the basics, learners work their way through the pieces of these graphs and finish off with an application question. 
PPT
Curated OER

Fractions XIV - Multiplication of Fractions

For Teachers 4th - 5th
Knowing how to multiply fractions is an important skill. Knowing when you should multiply fractions is equally as important. This impressive presentation covers both topics quite nicely. Along with slides that present explanations, there...
Lesson Plan
Fraction Bars

Multiplying Fractions Times Whole Numbers and Fractions

For Teachers 5th - 6th Standards
Fifth graders make the connections using models between multiplying a fraction times a whole number and multiplying a fraction times a fraction. After completing three teacher-led activities, pupils access a website on their own to play...
Lesson Plan
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West Contra Costa Unified School District

Fractional Exponents

For Teachers 9th - 12th Standards
Wow! Here is a handout packed full of tips and worked-out solutions to supplement instruction on fractional exponents. The lesson introduces and thoroughly explains the Algebra II concept, and closes with a...
Lesson Plan
Pennsylvania Department of Education

Using Polygons to Represent Fractions

For Teachers 3rd - 4th Standards
Explore the world of fractions by using pattern blocks to show how different shapes can divide a hexagon. Elementary schoolers work in groups to complete these problems and to answer questions. Later, they work complete an independent...
Lesson Plan
Willow Tree

Dimensional Analysis

For Students 8th - 11th Standards
Convey to your pupils the importance of units, then show how to use dimensional analysis to perform a unit conversion. The math lesson includes detailed worked-out solutions to guide learners in their practice.
Lesson Plan
Curated OER

Rule for Equality of Fractions

For Teachers 3rd - 4th Standards
Here is a lesson on equality of fractions. Learners use fraction bar manipulatives as the lesson goes along to help them visually understand equivalent fractions. The activities described are top-notch, and there is a worksheet embedded...
Lesson Plan
Curated OER

Equality of Fractions

For Teachers 4th Standards
Here is a lesson plan on equality of fractions designed for fourth graders. Learners work in groups and utilize fraction bars to help them work through a variety of activities. They split up into pairs and play an online game called the...
Worksheet
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K12 Reader

Simplifying Fractions

For Students 4th - 5th Standards
 Young mathematicians respond to a series of comprehension questions after reading an article about simplifying fractions.
Lesson Plan
Curated OER

Find 1

For Teachers 3rd - 5th Standards
Extend your class's ability to represent unit fractions on a number line with this challenging worksheet. Given two number lines, one labeled with zero and 1/4, the other with zero and 5/3, students must accurately locate the number one...
Lesson Plan
EngageNY

Problem Solving Using Rates, Unit Rates, and Conversions

For Teachers 6th Standards
Find a way to work with rates. The 23rd part in a 29-part series presents work problems for the class to solve given work rates. Pupils compare rates to determine which is faster. Some problems require learners to convert the rates to...
Worksheet
Curated OER

Solving Rational Equations

For Students 8th - 11th Standards
In this algebra worksheet, learners solve rational equations including two application problems. This worksheet contains explanations to aid in understanding. 
Worksheet
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K12 Reader

Converting Fractions to Decimals

For Students 4th - 5th Standards
After examining a short article on fractions and decimals, readers draw information for the text to respond to a series of reading comprehension questions.
Worksheet
Curated OER

Renaming Fraction

For Students 4th - 5th
These improper fractions need to be renamed, and young mathematicians are guided through the process to simplify 36 of them here. They change each to a mixed number, sometimes simplifying further to get the fully reduced form. There are...
Worksheet
Curated OER

Simplifying Radicals

For Students 9th - 10th
In this radical worksheet, students write given radical expressions in a square root form. Explanations and examples are provided at the beginning of the document. This two-page worksheet contains 24 problems. Answers are located at the...
Lesson Plan
Curated OER

Converting Between Units

For Teachers 4th - 6th
Upper graders practice using measurements by solving conversion problems. There are given different time or measurement increments and must convert them to a larger or smaller increment. They also utilize a calculator and conversion...
Worksheet
Curated OER

Recognizing Equivalent Fractions

For Students 3rd - 5th Standards
If you're working on a fraction unit, this resource could be a great way to assess student learning or to extend your lesson on equivalent fractions. Once they have filled in the missing number in each pair of fractions, youngsters work...
Lesson Plan
Curated OER

Inequality and the 1/2 Benchmark

For Teachers 4th Standards
Fourth graders utilize fraction bar manipulatives to compare a variety of fractions to the fraction value 1/2. Pupils are put into groups, and they begin to see how fractions that look completely different actually represent the same...
Lesson Plan
Curated OER

Multiplying Fractions Times Whole Numbers

For Teachers 4th - 6th Standards
Multiplying fractions by whole numbers is the focus of the math instructional activity presented here. There are three activities outlined in the instructional activity along with a nifty game learners play on the computer that...

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