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
Rational Numbers in Lowest Terms
In this rational numbers worksheet, learners write equivalent forms of rational numbers, divide rational numbers, and express them in their lowest terms. This two-page worksheet contains five problems.
Curated OER
Finding Equivalent Forms For Positive Rational Numbers
Learners discuss the relationship between and the equivalent forms of rational numbers. They will convert numbers from decimals to fractions, understanding they are equivalent, but just different forms.
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.
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...
Curated OER
Rational Number Project
Infuse your unit on fractions, decimals, and operations with a thorough module about rational numbers. With a teaching guide, learner examples, templates for instruction, and lesson rationale, the module is a solid way to emphasize the...
Utah Education Network (UEN)
Operations with Rational Numbers
Add an engaging resource to your lessons on rational numbers and watch your pupils' understanding multiply. Learners determine rules for adding, subtracting, multiplying, and dividing integers. Individuals then extend these rules to all...
EngageNY
The Long Division Algorithm
Two methods are always better than one! The eighth installment in this series asks pupils to convert decimals to fractions using two approaches. Individuals first use the more traditional approach of long division and then use reverse...
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.
Curated OER
Alternative Algorithms
Analyze algorithms for computing with rational numbers and develop fluency in their use with your math class. They work individually to solve the problems on the "Alternative Algorithms" sheet. Then, they analyze the appropriateness of...
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...
EngageNY
Comparing Methods—Long Division, Again?
Remember long division from fifth grade? Use the same algorithm to divide polynomials. Learners develop a strategy for dividing polynomials using what they remember from dividing whole numbers.
Curated OER
Rational Numbers
In this rational numbers worksheet, 9th graders solve and complete 12 different problems by dividing each equation. First, they use the division rules given at the top of the sheet to determine how they are going to solve each problems....
Curated OER
Topsy-Turvy Math With Rational Numbers
Fourth graders complete a worksheet. As a whole class, 4th graders hear a lecture and complete a worksheet on factors, multiplicative inverses and reciprocals, finding the quotient of two fractions and the division of fractions to...
Curated OER
Locating Rational Numbers on the Number Line
Students explore the concept of locating rational numbers on a number line. In this rational numbers lesson, students change improper fractions to mixed numbers to determine where on a number line the rational number belongs. Students...
Flipped Math
Dividing Polynomials
Divide and conquer factoring. Learners see how dividing polynomials is similar to long division of numbers. Pupils learn how to use long division of polynomials to help find factors of higher degree polynomials. They then use their...
Curated OER
Rational Numbers
In this rational numbers worksheet, 9th graders solve and complete 24 different problems that include dividing various numbers. First, they determine the reciprocal of the second number in each equation. Then, students multiply the first...
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...
Scholastic
Study Jams! Order Fractions & Decimals
Going from fraction to decimal and decimal to fraction shouldn't be a chore, but an easy step for young mathematicians to do within problems. This interactive lesson shows how long division can change any fraction to a decimal. Started...
Curated OER
Real Numbers in the Real World
Delve into the concept of operating on the set of real numbers! In this operating with the set of real numbers instructional activity, pupils perform order of operations on the set of real numbers using a calculator.
Curated OER
Rational Expressions: Simplifying
This two-day instructional activity will help the class simplifying rational expressions. It also has an emphasis on understanding when a rational expression is undefined. The instructional activity contains powerpoint presentations,...
EngageNY
The Structure of Rational Expressions
Find out when rational expressions are closed. Pupils review adding, subtracting, multiplying, and dividing with rational numbers to make the connections to operations with rational expressions. Using specific examples, learners notice...
Illustrative Mathematics
Dan’s Division Strategy
Can Dan make a conjecture about dividing fractions with the same denominators? That is what your scholars are to determine. They must show that if the statement is true, they understand how the quantities were determined, and how the...
Illustrative Mathematics
Shrinking
Is Aunt Nancy shrinking? Find out by calculating with the average height women lose each year. The activity practices multiplying and dividing with decimals and rounding the final answer.