Worksheet
Waterloo Mathematics

Grade 7 Patterning and Algebra: Algebraic Expressions

For Students 6th - 8th Standards
Classmates solve 18 different problems that are mostly word problems that apply algebraic expressions. They draw different combinations of masses on a scale that would balance. They also simplify expressions and solve for x in a number...
Worksheet
Curated OER

Patterns and Algebra - Modeling

For Students 7th - 9th Standards
Seventh grade math is so much fun! They solve 10 different problems that include using patterns to complete a table, describe the pattern, and identify the specific term in the pattern for each. Then they give a description of the...
Lesson Plan
West Contra Costa Unified School District

Connecting Arithmetic Sequences to Linear Equations

For Teachers 8th - 10th Standards
Common difference is to arithmetic sequences as what is to linear equations? (Answer: slope) Pupils learn how arithmetic sequences can be considered as linear patterns. They then write linear equations to represent arithmetic...
Lesson Plan
Virginia Department of Education

Solving Equations

For Students 8th Standards
Demonstrate the abstract process of solving equations by using algebra tiles as a concrete representation. Scholars begin by solving equations through the use of manipulatives. As they gain more confidence, they progress to...
Lesson Plan
Odell Education

Graphing Linear Equations

For Students 8th Standards
Combine linear equations and a little creativity to produce a work of art. Math scholars create a design as they graph a list of linear equations. Their project results in a stained glass window pattern that they color.
Assessment
Balanced Assessment

Pick a Pattern or Two

For Students 6th - 8th
Math is all about finding patterns. In this ask, scholars first investigate a sequence formed by squaring the sum of the digits in the previous term. They go on to investigate a second sequence and write an algebraic expression for this...
Lesson Plan
Odell Education

Equation Vocabulary

For Teachers 6th Standards
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.
Handout
Cabrillo College

Elementary Algebra

For Students 8th - 11th Standards
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...
Worksheet
Curated OER

Algebraic Relationships

For Students 8th - 9th
Here are 17 various forms of problems that range from matching equivalent expressions to word problems. Included are problems for substutiing values into expressions and using the order of operations, simplifying algebraic expressions,...
Worksheet
Curated OER

The Algebra of Summation Notation

For Students 9th - 11th
In this algebra worksheet, students use the summation notation correctly as they solve problems. They define the integral of a function and solve problems involving i. There are 14 questions with an answer key.
Lesson Plan
Odell Education

Equations

For Teachers 7th Standards
Science equipment can be handy for math class, too. Scholars learn to solve one- and two-step linear equations by using the concept of a balance. They solve real-world problems in a variety of contexts by writing and solving linear...
Worksheet
Curated OER

Solving for an Unknown

For Students 8th - 9th
In this solving for the unknown worksheet, students solve and complete 18 different problems that include algebraic expressions. First, they study each pattern in the equations shown. Then, students solve each equation for the variable...
Lesson Plan
National Security Agency

A Balancing Act: Solving Multi-Step Equations

For Teachers 6th - 8th Standards
Wow! Put on that thinking cap and solve multi-step equations. To solve equations, learners review the use of the distributive property and combining like terms. This three-day lesson plan comes with about 20 pages of worksheets,...
Lesson Plan
Willow Tree

Linear Relationships

For Students 8th - 11th Standards
There's just something special about lines in algebra. Introduce your classes to linear equations by analyzing the linear relationship. Young mathematicians use input/output pairs to determine the slope and the slope-intercept formula to...
Worksheet
Curated OER

Modeling in Algebra

For Students 8th
In this modeling in algebra worksheet, 8th graders solve ten different types of algebra problems, including 5 word problems. They first complete each table, describe the pattern used, and determine the 20th and nth term for each....
Worksheet
Curated OER

Algebraic Expressions & Equations

For Students 9th
In this algebraic expressions and equations worksheet, 9th graders solve 12 various types of problems ranging from writing expressions for each written equation to solving 8 different word problems related to cost, speed, age, and...
Assessment
Inside Mathematics

Number Towers

For Teachers 9th - 12th Standards
Number towers use addition or multiplication to ensure each level is equal. While this is common in factoring, it is often not used with algebraic equations. Solving these six questions relies on problem solving skills and being able to...
Lesson Plan
Illustrative Mathematics

Gotham City Taxis

For Teachers 6th - 8th Standards
Taxi! Have your travelers figure out how far they can go in a taxi for $10.00. They must account for the mileage rate and tip in their calculation. They can set up a table or make an equation to solve for the exact mileage they can...
Lesson Plan
Ohio Department of Education

The Solution is Complex

For Teachers 9th - 12th Standards
Consider complex numbers, roots, and quadratic equations. Use the discriminate as a way to determine the nature of a quadratic's roots. Then discuss the similarities and differences between quadratics with two, one, or no real roots....
Lesson Plan
PBS

The Yo-Yo Problem

For Teachers 9th - 12th
What do yo-yos and pennies have to do with linear equations? Learn about writing and solving linear equations while considering the Yo-Yo Problem and Penny Pattern Exploration from the High School Math Project. Learners utilize algebra...
Worksheet
Curated OER

Multiplication, Division, and Money

For Students 5th - 6th
In this math review worksheet, students complete problems involving multiplication, division, money, and equations. Students complete 10 multiple choice problems.
Activity
Education Development Center

Writing Numerical Expressions—Hexagon Tables

For Students 5th - 7th Standards
Explore a basic pattern to practice writing expressions. In collaborative groups, learners examine a contextual pattern and write an expression to model it. The task encourages groups to describe the pattern in multiple ways.
Worksheet
Curated OER

Writing Linear Equations in Different Forms

For Students 7th - 10th Standards
Can your class write linear equations three different ways? Here is a study guide that includes slope-intercept, standard, and point-slope forms. Learners are given the slope and a point on the line, or two points and are asked to write...
Lesson Plan
Odell Education

Types of Variations

For Teachers 10th - 12th
Scholars determine how two quantities vary with respect to each other. They complete a fill-in-the-blank activity by stating whether the entities vary directly, inversely, or jointly, create equations that match different variations, and...