EngageNY
Replacing Letters with Numbers
When did letters become the same as numbers? Scholars learn about substituting numbers for letters to evaluate algebraic expressions in the seventh part in a series of 36. The lesson focuses on expressions related to geometry, such as...
Code.org
Controlling Memory with Variables
Not all variables are created equal. Discover how variables in computer science are different from variables in math class. Scholars learn to work with variables in computer programming by developing a mental model for how variables...
Curated OER
Two Step Equations
Sixth graders solve multiple step math problems. In this problem solving lesson, 6th graders practice following step by step instructions such as making cookies or building a snowman. Students use algebra tiles and draw pictures to solve...
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
College Level Study Guide
In this study guide worksheet, students examine and complete questions that are similar to the college Accuplacer College Level Math test. This worksheet includes, but is not limited to, factoring and expanding polynomials, simplifying...
EngageNY
True and False Equations
What does English have to do with math? Teach your class the "grammar" of a number sentence. Sentences with correct grammar can be false! Understanding of a number sentence leads to a comparison with equations.
Mathematics Assessment Project
Representing Inequalities Graphically
A new, improved version of the game Battleship? Learners graph linear inequalities on the coordinate plane, then participate in a game where they have to guess coordinate points based on the solution to a system of linear...
EngageNY
Constant Rate
Two-variable equations can express a constant rate situation. The instructional activity presents several constant rate problems. Pupils use the stated constant rate to create a linear equation, find values in a table, and graph the...
EngageNY
Systems of Equations
What do you get when you cross a circle and a line? One, two, or maybe no solutions! Teach learners to find solutions of quadratic and linear systems. Connect the visual representation of the graph to the abstract algebraic methods.
Willow Tree
Order of Operations
It's the classic please excuse my dear aunt sally strategy to remembering the order of operations. Young mathematicians practice to develop an understanding of the order of operations. Examples and practice problems include...
EngageNY
Solving Radical Equations
Learners solve complex radical equations. Solutions vary from one, two, and none, allowing pupils to gain experience solving a variety of problems.
Curated OER
Two-Step Equations
Students explore the concept of solving two-step equations. In this solving two-step equations lesson, students watch a short video about solving equations. Students view a PowerPoint presentation about solving two-step equations....
Curated OER
Patterns and Algebraic Expressions
Scholars will solve problems, create patterns, and write algebraic expressions. In addition, they will learn how to represent a number with a variable.
Curated OER
Simplifying Expressions (Addition and Subtraction)
Seventh graders simplify algebraic expressions using addition and subtraction to combine like items and solve for the variable. They work with inverse operations to solve equations with guided practice. Everyone completes various...
Curated OER
Algebra: Evaluating Expressions Using Tiles
Sixth graders evaluate algebraic expressions. In this introduction to algebra lesson plan, 6th graders use manipulatives (algebra tiles) to solve problems involving one and two variables. Students apply this knowledge to real life...
EngageNY
Read Expressions in Which Letters Stand for Numbers III
Those key operation words sure come in handy. Groups continue their work with converting between different notations for algebraic expressions. They work in stations to write the symbolic form for given verbal phrases. This is the 17th...
Curated OER
Integers
Students explore integers through a review of basic knowledge and understanding of integers. They order integers on a number line and evaluate integer expressions with variables. Students order values from variable expressions on a...
Willow Tree
Scientific Notation
Numbers that are very large or very small are difficult to express in standard notation. Pupils learn how to convert between standard and scientific notation. They also multiply and divide the numbers in scientific notation.
Virginia Department of Education
Rational Expressions
Demonstrate the progression of operations with rational expressions through a multi-day instructional activity, equipped with worksheets for each day. High schoolers develop the concepts needed to perform operations with rational...
EngageNY
Solving Basic One-Variable Quadratic Equations
Help pupils to determine whether using square roots is the method of choice when solving quadratic equations by presenting a lesson that begins with a dropped object example and asks for a solution. This introduction to solving by...
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...
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...
Curated OER
The Difference of 2 Squares
Learners factor a difference of two squares. In this factoring a difference of two squares lesson, students use manipulates cut from a piece of paper to illustrate the difference of two squares. Learners illustrate the...
Illustrative Mathematics
Equivalent Expressions?
Pre-algebra pupils need to understand that two expressions are only equal if they have the same value. Show them that once the expression is multiplied by a number, the value of the expression changes. It makes for a good lead-in to...