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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....
Worksheet
Math Stars

Math Stars: a Problem-Solving Newsletter Grade 7

For Students 6th - 9th Standards
Put on your thinking caps because middle school math has never been more interesting in this huge resource full of thought provoking questions. Written as a newsletter, the resource has 10 two-page newsletters with a variety of...
Lesson Plan
Curated OER

Rational Expressions: Simplifying

For Teachers 8th - 10th
This two-day activity will help the class simplifying rational expressions. It also has an emphasis on understanding when a rational expression is undefined. The activity contains powerpoint presentations, worksheets, and answer key.
Lesson Plan
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EngageNY

Multiplying and Dividing Rational Expressions

For Students 10th - 12th Standards
Five out of four people have trouble with fractions! After comparing simplifying fractions to simplifying rational expressions, pupils use the same principles to multiply and divide rational expressions. 
Worksheet
Math Stars

Math Stars: a Problem-Solving Newsletter Grade 8

For Students 7th - 9th Standards
You've just hit the jackpot of integrating math problems and riddles with this jumbo-sized resource! Written as a newsletter, scroll through 35 pages of puzzles and quality problems to engage and encourage your learners to inquire...
Lesson Plan
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EngageNY

Equivalent Rational Expressions

For Students 10th - 12th Standards
Rational expressions are just fancy fractions! Pupils apply fractions concepts to rational expressions. They find equivalent expressions by simplifying rational expressions using factoring. They include limits to the domain of the...
Workbook
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University of Utah

Rational and Irrational Numbers

For Students 8th Standards
Conquer any irrational fears you might have of irrational numbers. As class members investigate how to represent numbers geometrically, they learn about rational and irrational numbers, including approximating and ordering rational...
Lesson Plan
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EngageNY

Adding and Subtracting Rational Expressions

For Students 10th - 12th Standards
There's a fine line between a numerator and a denominator! Learners find common denominators in order to add and subtract rational expressions. Examples include addition, subtraction, and complex fractions.
Lesson Plan
Curated OER

Measuring Mixed Numbers

For Teachers 4th - 5th
Mixed numbers can be added conceptually, algorithmically, and physically. Have the class visualize mixed numbers by adding fraction bars together. They then discover the algorithmic process that simplifies adding mixed numbers. Finally,...
Lesson Plan
Curated OER

Dividing Fractions

For Teachers 9th - 10th
Young scholars solve fractions using division. In this algebra lesson plan, students solve fractions by flipping and multiplying by the reciprocal. They practice dividing fractions with different denominators and simplifying.    
Lesson Plan
Curated OER

Dividing Fractions

For Teachers 9th - 10th
Learners solve fractions using division. In this algebra lesson, students solve fractions by flipping and multiplying by the reciprocal. They practice dividing fractions with different denominators and simplifying.
Lesson Plan
Curated OER

Multiplying Fractions

For Teachers 9th - 10th
Students solve fractions by multiplication. For this algebra lesson, students factor fractions by multiplying numerator with numerator and denominator with denominator. They simplify improper fractions.
Lesson Plan
Curated OER

Subtracting Fractions with Unlike Denominators

For Teachers 9th - 10th
Students solve fractions using subtractions and. In this algebra activity, students use the correct steps to solve fractions with unlike denominators when adding and subtracting. They solve  by finding a common denominator and...
Lesson Plan
Curated OER

Operations with Fractions

For Teachers 9th - 10th
Students solve fractions using multiplication, subtractions and division. In this algebra lesson, students use the correct steps to solve fractions with unlike denominators when addin g and subtracting. They solve divisions by the...
Unit Plan
Mathematics Vision Project

Module 4: Rational Functions

For Students 9th - 12th Standards
Time to study the most sensible function — rational functions! The seven-lesson unit develops the concept of a rational function through a connection to rational numbers and fractions. Scholars graph functions, solve equations, and...
Lesson Plan
Curated OER

Finding Fractions

For Teachers 7th - 9th
Students identify and solve problems using fractions. In this algebra lesson, students compare fractions and simplify with 80% accuracy. They manipulate fraction on the smart board through simplification.
Lesson Plan
Curated OER

Comparing Fractions

For Teachers 5th - 7th
Young scholars use the assistance of computers to explore reducing fractions. Using various internet activities, students experience comparing and ordering fractions. They develop methods to estimate the value of fractions.
Lesson Plan
Bowland

Mystery Tours – Plan Your Tour

For Teachers 6th - 9th
Everyone loves a vacation and a set of three activities has groups planning a tour of the U.K. using given distance, time, and price data. They solve a variety of problems related to the trip and produce a report on the success of...
Interactive
CK-12 Foundation

Multiplication of Rational Expressions

For Students 9th - 11th Standards
There's nothing irrational about this lesson. Explore the process of multiplying rational expressions through discovery. A well-designed lesson has learners factor and multiply rational expressions by dragging factors to the correct...
Lesson Plan
Texas Instruments

Greatest Common Divisor and Least Common Multiple

For Teachers 8th - 12th Standards
Students solve problems using the GCD and LCM. In this algebra lesson, students factor and simplify equations using the greatest common and least common factors and multiples. They factor integers in pairs.
Lesson Plan
Curated OER

Factor Fun for Fifth Graders

For Teachers 5th
Fifth graders explore common factors. In this factorization lesson, 5th graders discover the greatest common factor among two numbers in a game format. Students build on previous knowledge to determine the greatest common factor.
Lesson Plan
EngageNY

Estimating Quantities

For Teachers 8th Standards
Apply the concept of magnitude to estimate values and compare numbers. The ninth lesson of the 15-part series asks learners to write numbers to their next greatest power of 10 and then make comparisons. Scholars begin to understand the...
Lesson Plan
EngageNY

The Decimal Expansion of Some Irrational Numbers

For Students 8th Standards
Develop a definition of irrational numbers through an exploration of square roots. The 11th lesson in this series of 25 asks scholars to estimate the value of a square root. Learners observe as the estimation extends further and further...
Lesson Plan
Curated OER

Rational Expressions

For Teachers 9th - 11th
Learners simplify rational expressions. In this algebra lesson plan, students solve rational equations using multiplication and division. They apply properties of exponents and negative exponents to solve the problems.