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...
Curated OER
Lesson 2-5: Absolute Value Functions and Graphs
What is absolute value? What is an absolute value function? Emerging mathematicians solve equations containing variables inside an absolute value sign. They graph each function on a coordinate plane and identify the maximum and...
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
One Variable Word Problems
Here is a one-variable word problems learning exercise in which learners complete word problems dealing with all four operations and one variable. They complete a total of 18 problems.
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...
National Security Agency
Equations and Expressions
Learners demonstrate their knowledge pictorially, concretely, and abstractly in this unit meant to last three hours over three days. Using hands-on activities, manipulatives, real-world applications, and problem...
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...
Noyce Foundation
Apple Farm Field Trip
Monitor the growth of young mathematicians with a comprehensive addition and subtraction assessment. Using the context of a class field trip to an apple orchard, this series of four story problems allows children to demonstrate their...
Inside Mathematics
Functions
A function is like a machine that has an input and an output. Challenge scholars to look at the eight given points and determine the two functions that would fit four of the points each — one is linear and the other non-linear. The...
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.
Math Guy
Algebra 2 Practice Final
Work out to Algebra II with the 50-question worksheet that practices different types of functions. Multiple choice questions focus on topics such as rational, radical, and logarithmic functions. The resource comes with a printed answer...
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....
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
Young scholars factor a difference of two squares. In this factoring a difference of two squares instructional activity, students use manipulates cut from a piece of paper to illustrate the difference of two squares. Young...
Curated OER
Expressions With Multiplication and Division
For this expressions worksheet, 4th graders evaluate 12 expressions for n = 7 and find the total number of hats when x = 12. Students write their answers on the lines provided.
Curated OER
Algebraic Expressions
For this linear expressions worksheet, students simplify given expressions using the FOIL method. They square linear expressions. This two-page worksheet contains two types of problems: some with a single variable, and some with two...
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...