Math Doctor
Chapter 2: Integers & the Number Line
Here is an extensive set of teacher's notes to help you teach all about integers. Begin by introducing a number line and how it can be used to visualize positive and negative numbers. Talk about absolute value and the additive inverse...
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...
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...
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...
Illustrative Mathematics
Operations on the Number Line
A different way to look at integers is on this number line with variables in place of numbers. Learners are to look at different expressions and describe why they think the answer would be positive or negative, depending on the location...
University of Minnesota
Fraction Operations and Initial Decimal Ideas
Add another strategy to the toolboxes of young mathematicians with this elementary math lesson on using number lines to add and subtract fractions.
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...
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...
Curated OER
Rationals
In this rational numbers worksheet, 9th graders solve 14 various types of problems relating to rational numbers that include simplifying each equation and reducing to lowest terms to using the order of operations to simplify equations....
Curated OER
Arithmetic Operations With Numbers
In this arithmetic operations instructional activity, 9th graders identify and solve 48 different problems that include applying Arithmetic operations with various types of numbers. First, they simplify each of the expressions using...
Virginia Department of Education
Using Order of Operations and Exploring Properties
If you need some creative ways to teach the order of operations, use a series of activities that focus on properties. Each instructional activity uses different materials and works as a stand-alone activity, or can build upon the...
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...
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...
Cabrillo College
Elementary Algebra
Hello Algebra! If you're in need of a resource with a books worth of examples and practice problems, this is it. Some topics include linear equations, polynomials and exponents, rational expressions, quadratic equations, and a great...
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.
PBS
Adding Integers
Your sixth and seventh graders deepen their understanding of a number line and adding integers in this concrete, hands-on activity. Learners play "Warehouse Puzzle" and then discuss their game strategies and the characteristics...
Noyce Foundation
Toy Trains
Scholars identify and continue the numerical pattern for the number of wheels on a train. Using the established pattern and its inverse, they determine whether a number of wheels is possible. Pupils finish by developing an algebraic...
Virginia Department of Education
Balanced
Bring balance to your lesson plans with an activity that asks individuals to solve one-step linear equations with inverse operations. Balance scales help learners understand the concept of isolating the variable.
Virginia Department of Education
Give or Take a Few
Young mathematicians extend their knowledge of rational numbers on a number line to graph inequalities by first using number cards to compare rational numbers. They finish by using similar reasoning to graph inequalities on a number line.
Curated OER
Rational Equations
In this rational equations worksheet, 9th graders solve 10 different problems that include various forms of rational equations. First, they determine the least common denominator in each equation. Then, students compare numerators and...
Curated OER
Rational Expressions: Add and Subtract
In this rational expression worksheet, students add or subtract rational expressions by finding common denominators. There are 11 multiple choice questions.
Helping with Math
Solving Equations with Two-Stepping! (4 of 4)
Here are 12 two-step algebraic equations to be solved. The first problem is completed as an example to your class, but the remaining can be worked right on the page. An answer key is available by clicking on a small box at the top of the...
Curated OER
Rational Inequalities
In this rational inequalities worksheet, 9th graders solve 10 different equations that contain rational inequalities in each. First, they find the zeros from the numerator and the undefined points from the denominator. Then, students use...