Charleston School District
Review Unit 7: Real Numbers
Provide pupils with problems to check their understanding of the concepts within the unit. The seven-part series of lessons covers concepts related to irrational numbers. Learners convert between fractions and decimals, estimate 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.
EngageNY
Rational Exponents—What are 2^1/2 and 2^1/3?
Are you rooting for your high schoolers to learn about rational exponents? In the third installment of a 35-part module, pupils first learn the meaning of 2^(1/n) by estimating values on the graph of y = 2^x and by using algebraic...
Charleston School District
Identifying Irrational Numbers
These numbers have some personality! Are they rational or irrational? The lesson examines the definitions of rational and irrational numbers and shows examples of how to identify them.
Education Development Center
Word Problem with Rational Numbers—Balancing Bars of Soap
Here's a resource teachers won't want to wash their hands of. Given a task where a full bar of soap is on one side of a balance and 3/4 of a bar of soup and a 3/4-ounce weight is on the other side, young mathematicians must determine the...
Curated OER
Squares, Square Roots, and Exponential Expressions
Students explore the concepts of square roots and exponential expressions. For this square root and exponential expression lesson, students complete an investigation called Building A Square Patio. Students use color tiles to develop the...
EngageNY
Comparing Rational Expressions
Introduce a new type of function through discovery. Math learners build an understanding of rational expressions by creating tables and graphing the result.
Education Development Center
Sum of Rational and Irrational is Irrational
Sometimes the indirect path is best. Scholars determine whether the sum of a rational number and an irrational number is irrational. Reading a transcript of a conversation between classmates leads to an indirect proof of this concept.
Alabama Learning Exchange
As If Numbers Weren't Complex Enough Already!
The class explores the concept of complex numbers on a website to generate their own Mandelbrot sets. They will practice performing operations with complex numbers and then to get a visual understanding, graph the absolute value of a...
Illustrative Mathematics
Bookstore Account
We use debt often to describe negative numbers and your learners will be able to see how it translates into math. They will be asked to go through a series of transactions and make simple equations for each one, following it with a...
Illustrative Mathematics
Graphing Rational Functions
The slider feature on Desmos excellently shows how graphs change based on different variable values. Learners look at two similar rational functions and compare and discuss what happens when the numbers go from positive to zero to...
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...
Curated OER
Formulae
Learners complete a 24 page unit. They solve expressions by plugging in values, and translate words into algebraic equations. Included are: mixed operations, square roots, exponents and negative numbers. This resource provides a good...
Curated OER
Multiplication And Division of Rational Expressions
There is nothing wrong with good old-fashioned practice. Middle schoolers simplify rational expressions using the operations of multiplication or division. The worksheet included 24 problems and an example to help learners along.
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 and Irrational Numbers 1
You'll need scissors, glue sticks, and mini whiteboards for this activity on rational and irrational numbers. Learners work in groups to classify a variety of expressions as rational or irrational. They are also given a mock discussion...
Charleston School District
Pre-Test Unit 7: Real Numbers
Don't be irrational! Use this pre-test to assess your classes' ability to work with all types of real numbers. The lesson asks learners to estimate value, evaluate roots, and order numbers. This begins a series of lessons on the real...
Curriculum Corner
8th Grade Math Common Core Checklist
Ensure your eighth graders get the most out of their math education with this series of Common Core checklists. Rewriting each standard as an "I can" statement, this resource helps teachers keep a record of when each standard was taught,...
Curriculum Corner
7th Grade Math Common Core Checklist
With so many math standards to fit into a school year, it can be difficult keeping track of what you have and have not covered. This collection of Common Core checklists allows you to maintain a running record of when each standard was...
Charleston School District
Estimating Values of Expressions
You can't evaluate an irrational root expression without a calculator—or can you? Scholars estimate the value of roots within an expression to approximate the value of the expression. Expressions include a mix of square roots and whole...
Curated OER
Babylonian Mathematics I
Learners examine a Babylonian clay tablet and the mathematics found on it as a catalyst to investigate a variety of mathematical ideas. They work with prime numbers, classify numbers as whole, integer, rational, or irrational and use...
Mathematics Assessment Project
Seeing Structure in Expressions
Structure makes everything easier — even math. A helpful resource contains five short problems that require pupils to use the structure of the expressions in order to answer the questions.
Curated OER
Expressions Containing Several Radical Terms
In this algebra worksheet, pupils add 5 expressions with radical signs. In 6 problems, students multiply with radicals over parenthesis. The final 4 problems require pupils to rationalize the denominator and divide.
Virginia Department of Education
Exponents and Radicals
What is that fraction doing as an exponent? Fun math games prompt learners to practice evaluating radical expressions and expressions containing rational exponents, both in groups and individually.