Illustrative Mathematics
Solving Equations
If you have two bags with an unknown number of tiles, represented by x, and you add three tiles to get seven total, you can set up a linear equation to represent the problem. Use this example and a few others to demonstrate how to solve...
Curated OER
Multiplication: Bugs Can Multiply, So Can I!
Develop multiplication skills with your class. Youngsters will visualize multiplication as repeated addition. Then they will create a multiplication bug book and discover arrays as a strategy for multiplication problem solving....
Concord Consortium
Systematic Solution II
Up the difficulty level by solving a system of equations with variable coefficients. Young scholars devise a plan to solve for x and y in terms of a and b. They represent their solutions as expressions and explain their...
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...
Curated OER
Eight Simplify Radical Expressions Problems
In this radical expressions worksheet, students simplify eight expressions contains radicals, variables, and exponents. Students should be familiar with factoring quadratics in order to complete this worksheet.
Curated OER
Combining Expressions 2
In this expression worksheet, young scholars combine like terms and perform the indicted operation. They solve problems involving exponents, with multiple variables. There are 15 equations to solve.
Curated OER
Sum of Products and Product of Sums Expression
In this electrical circuit worksheet, students answer a series of 21 questions about sum of product and product of sum, and Boolean expression for a logic circuit. They design and build a circuit board using PC-board relays to show...
Curated OER
Solve Multistep Equations
In this multi-step equations worksheet, 9th graders solve and complete twenty-four different problems that include using a graphing calculator to complete. First, they solve for x in the first section. Then, students solve using the same...
EngageNY
Creating and Solving Quadratic Equations in One Variable
Give your classes practice at modeling using quadratic models with a resource that uses area and integer problems to allow individuals to create second degree polynomials. Young mathematicians solve equations using factoring and then...
Curated OER
Increasing or Decreasing? Variation 1
Your algebra learners analyze the value of an algebraic expression to decide if it will increase, decrease, or stay the same when one variable is changed as the others stay constant. Their collaborative efforts culminate with a written...
Curated OER
Increasing or Decreasing? Variation 2
Your algebra learners will manipulate an expression's form in order to make obvious the value of it increasing, decreasing, or staying the same, when one variable is changed as the others stay constant. Your future physicists'...
EngageNY
Multiplying and Factoring Polynomial Expressions (part 2)
If you can multiply binomials, you can factor trinomials! This is the premise for a lesson plan on factoring. Pupils look for patterns in the binomials they multiply and apply them in reverse. Examples include leading coefficients...
EngageNY
Relationships Between Quantities and Reasoning with Equations and Their Graphs
Graphing all kinds of situations in one and two variables is the focus of this detailed unit of daily lessons, teaching notes, and assessments. Learners start with piece-wise functions and work their way through setting up and solving...
Illustrative Mathematics
The Sign of Solutions
Positive or negative, zero or no solution, are all possibilities for the solution of a linear equation. Here the resource gives examples of linear equations in one variable and their type of solutions. The resource comes with commentary...
Lorain County Community College
Solving Equations Using the Division Property
Go from easy to challenging with a worksheet full of different problems designed for solving equations. Your mathematicians will be able to start small with one- and two-step equations and work their way up to multi-step equations. The...
Curated OER
Simplifying Expressions (Multiplication and Division)
Seventh graders simplify algebraic expressions using multiplication and division to combine like items and solve for the variable. They work with inverse operations to solve equations with guided practice. Students complete various...
Curated OER
Simplifying Radical Expressions
In this radical expressions worksheet, 9th graders solve and complete 20 different problems that include simplifying various radical expressions. First, they define rationalizing the denominator. Then, students simplify and leave each in...
Alabama Learning Exchange
Finding Prime
Fifth and sixth graders explore prime numbers. They work with a partner to build rectangular arrays using twelve tiles. Factor pairs are noted and recorded on graph paper. Pupils construct rectangular arrays with a prime number and...
Math Mammoth
Expressions
In this expression worksheet, learners evaluate equations, write equations for a specified event, and determine the perimeter of shapes, Six multi-step problems are provided on this one-page worksheet.
Curated OER
Evaluating Variable Expressions
In this algebra worksheet, learners replace the variable with a known number and solve the expression following the operation given. There are 24 questions with an answer key.
Illustrative Mathematics
Watch out for Parentheses
It is important for the algebra learner to understand the use of parentheses. Mathematicians of all levels can make errors with nested parentheses. This will give them some practice. It makes for a good class starter or quick assessment.
Inside Mathematics
Magic Squares
Prompt scholars to complete a magic square using only variables. Then they can attempt to solve a numerical magic square using algebra.
Virginia Department of Education
Equation Vocabulary
You'd feel bad if someone called you by the wrong name — and equations are no different. Young mathematicians learn the vocabulary associated with equations and expressions identifying these components in sample equations.
Houghton Mifflin Harcourt
Unit 1 Math Vocabulary Cards (Grade 5)
Associative property of addition, exponents, and variables are a few of the terms that a set of flash cards includes and are designed to support math vocabulary instruction. Cards offer a a bold-faced font as well as a thorough...