Illustrative Mathematics
Converting Decimal Representations of Rational Numbers to Fraction Representations
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 such...
Curated OER
Multiplying Rational Expressions
In this rational expression worksheet, students multiply rational expressions and then simplify them. This one-page worksheet contains ten problems, with answers.
Curated OER
Lesson 3: Number Sense
Learners solve word problems using number sense. They convert fractions to decimals and mixed numbers. Pupils determine if a given fraction is greater or less than another fraction, and order numbers on a number line.
Illustrative Mathematics
Calculating and Rounding Numbers
Mathematicians need to know that not all numbers are rational. We approximate irrational number with rational numbers. That is why a calculator may be misleading. This task give learners an opportunity to see how rounding a number and...
Corbett Maths
Multiplying Algebraic Fractions
Make the complicated look relatively simple. The video shows how multiplication of algebraic fractions is easier when they factor the numerators and denominators. Pupils see which factors will cancel, or divide out, easier when writing...
Curated OER
Multiply Integers Customized Worksheets
For this multiplying integers worksheet, learners solve 18 different equations by multiplication. First, they multiply the signed integers by applying the appropriate rules. Then, students multiply the absolute values of each and place...
Curated OER
Solving Rational Equations
In this algebra worksheet, learners solve rational equations including two application problems. This worksheet contains explanations to aid in understanding.
Curated OER
Rational Expressions: Simplifying
This two-day lesson will help the class simplifying rational expressions. It also has an emphasis on understanding when a rational expression is undefined. The lesson contains powerpoint presentations, worksheets, and answer key.
Curated OER
Fractions and Rationals
Upper elementary and middle schoolers solve 16 types of problems to include writing fractions to represent shaded portions, writing a mixed number to represent certain points on a number line, and changing equivalent mixed numbers to...
Illustrative Mathematics
Discounted Books
Adolescents love to shop, especially when an item is discounted. Here, shoppers only have a set amount of money to spend. Will they be able to make a purchase with the discount and tax added in? Percent discounts can be calculated...
Willow Tree
Rational vs. Irrational Numbers
Build an understanding of rational numbers and their counterpart irrational numbers. Lead learners through an explanation of rational numbers and the ways they can be expressed. Then introduce them to irrational numbers and make...
West Contra Costa Unified School District
Connecting Fractions and Rational Expressions
Teach class members to work with rational expressions using their knowledge of fractions. The lesson plan starts with a warm-up of rational expressions at four different levels of complexity. The different levels continue throughout the...
EngageNY
Multiplying and Dividing Rational Expressions
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.
West Contra Costa Unified School District
Solving Rational Equations
Scholars first learn to solve two-step equations with fractional coefficients and constants by traditional methods and by clearing the denominator. They continue by learning another approach to solve two-step equations that have decimal...
Curated OER
Modeling Multiplication and Division of Fractions
Create models to demonstrate multiplication and division of fractions. Using fraction tiles to model fractions, pupils explore fractions on a ruler and use pattern blocks to multiply and divide. They also create number lines with fractions.
EngageNY
Converting Repeating Decimals to Fractions
Develop a process with your classes for converting repeating decimals to fractions. Through this process, pupils understand that any repeating decimal can be written as a fraction. The 10th lesson in this 25-part module helps reinforce...
Flipped Math
Multiply and Divide Radicals
This is just radical, dude. Learners view a video to learn how to multiply and divide radical expressions as well as the rules for multiplying numbers within the radicand. They also see how to rationalize the denominator. Examples...
CK-12 Foundation
Multiplying Matrices by a Scalar: Column Vectors
Make connections between vectors and matrices through multiplication. Scholars use the interactive to view the effect of multiplying a matrix by a scalar. The interactive displays the resulting matrix and its corresponding column vectors...
Curated OER
Rational Equations 9-5
Algebra learners practice solving various rational equations by finding the LCD and multiplying both sides of the equation. There are nine problems on this worksheet geared towards algebra 1.
Curated OER
Discovering Math Rational Number Concepts
Students research Egyptian hieroglyphics using print and Web resources. THey discuss Egyptian achievements in mathematics. Students explore how Egyptians used hieroglyphics to write numerals. They multiply and divide numbers using the...
EngageNY
Polynomial, Rational, and Radical Relationships
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
EngageNY
Solving Rational Equations
What do fractions and rational expressions have in common? Everything! Learners use common denominators to solve rational equations. Problems advance from simple to more complex, allowing pupils to fully understand the material before...
Virginia Department of Education
Rational Expressions
Demonstrate the progression of operations with rational expressions through a multi-day lesson, equipped with worksheets for each day. High schoolers develop the concepts needed to perform operations with rational expressions. They learn...
Mathematics Vision Project
Module 4: Rational Functions
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...