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.
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...
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...
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.
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...
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...
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...
EngageNY
Equivalent Rational Expressions
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...
EngageNY
Adding and Subtracting Rational Expressions
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.
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....
EngageNY
Complex Numbers and Transformations
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
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
Multiplying and Dividing Expressions with Radicals
That's radical! Simplifying radicals may not be exciting, but it is an important skill. A math lesson plan provides explanations of properties used throughout the material. Scholars practice skills needed to multiply and divide...
Virginia Department of Education
Integers: Addition and Subtraction
Young mathematicians construct their own understanding of integers with an inquiry-based math lesson. Using colored chips to represent positive and negative numbers, children model a series of addition and subtraction problems as...
EngageNY
Decimal Expansions of Fractions, Part 2
Develop your pupils' understanding of fractions and their decimal equivalence using the 12th lesson in this series. Scholars learn an alternative to long division that results in converting fractions to decimals that emphasize fractional...
Alabama Learning Exchange
Exponents and Division
Create a human fraction to learn about division of exponents. Scholars develop the rule for division of exponents by being part of a human fraction to explore and justify the rule. They also consider zero exponents and negative exponents.
Lorain County Community College
Solving Linear Equations
Put your mathematicians to the test and see if they can solve this worksheet full of multi-step equations with rational numbers. Add, subtract, multiply, and divide with fractions and decimals to solve for x. The top of the worksheet has...
EngageNY
Overcoming a Second Obstacle in Factoring—What If There Is a Remainder?
Looking for an alternative approach to long division? Show your classes how to use factoring in place of long division. Increase their fluency with factoring at the same time!
EngageNY
The Relationship Between Absolute Value and Order
Order up a resource on absolute value and order. The 12th installment of a 21-part module investigates the relationship between absolute value and the order of numbers on a number line. Scholars determine how the actual values and the...
EngageNY
Finite and Infinite Decimals
Explore the patterns of fractions that produce finite and infinite decimals. The sixth lesson of the series asks learners to determine a similar feature of fractions that produce finite decimals. Using the patterns, pupils create...
Charleston School District
Converting Fractions and Decimals
A decimal is just a fraction in disguise! Scholars learn methods for converting decimals and fractions including repeating decimals. Performing the conversions strengthens their understanding of the relationship between the two forms....
Curated OER
Task: Miniature Golf
"Fore!" All right, no one really yells this out in miniature golf, but this well-defined activity will have your charges using lots of numbers in their unique design of a miniature golf hole. Included in the activity criteria is the...