Assessment
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Illustrative Mathematics

Solving Two Equations in Two Unknowns

For Students 8th - 10th Standards
More than just a one-problem resource, learners must explain their answer and incorporate a writing component to mathematical thinking. The resource also includes an explanation of the solution to help with the reasoning. 
Lesson Plan
EngageNY

Applications of Systems of Equations and Inequalities

For Students 9th - 10th Standards
Is the application of systems of equations giving your class headaches? Use this resource to build on your pupils' logic to lead them to building equations and using algebraic methods. The instructional activity begins with an...
Assessment
1
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CCSS Math Activities

Smarter Balanced Sample Items: 6th Grade Math – Claim 3

For Students 6th Standards
Communication is key. Eight sample items show how important communication and reasoning is for sixth grade mathematics. Part of the Claim 2-4 slide show series, the presentation uses concepts from fifth and sixth grade to illicit...
Lesson Plan
Mathematics Assessment Project

Representing Inequalities Graphically

For Teachers 9th - 12th Standards
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...
Assessment
Charleston School District

Pre-Test Unit 5: Solving Equations

For Students 8th Standards
Your pupils just may know more than you think they do! A pre-test assesses their ability to solve and write equations. It includes simple quadratic and cubic equations as well. 
Interactive
PHET

Friction

For Teachers 6th - 12th
Friction leads to movement, heat, and melting on such a small scale most people don't notice. A short simulation permits scholars to observe the reaction between atoms as they move together.  The simulation applies the concept of...
Lesson Plan
Curated OER

Variables and Controls in an Investigation

For Teachers 7th
Seventh graders identify variables and controls in a paper airplane investigation. In this scientific method lesson plan, 7th graders conduct an experiment to determine the variables that affect the flight of paper airplanes. They design...
Worksheet
Curated OER

Thirty Single Variable Algebraic Equation Word Problems

For Students 8th - 10th
In this algebraic equations worksheet, student solve thirty word problems from single variable algebraic equations.  Two of the thirty problems are solved as examples.
Worksheet
Curated OER

Solving Linear Systems by Substitution

For Students 8th - 11th Standards
Practice solving two equations with two unknowns. Here are five problems for using the substitution method. Included are clear, concise step-by-step instructions for the learner to follow. Problems start out easy and gradually get...
Interactive
Curated OER

Review of Algebra I

For Students 8th - 9th
Test your class with this online review. They determine the probability of a given situation, solve inequalities, systems of equations, and write numbers in scientific notation.  This two-page worksheet contains approximately 60...
Worksheet
Curated OER

Linear Inequalities

For Students 9th
In this Algebra I learning exercise, 9th graders determine if the given value is a solutions to the given linear inequality.  The one page learning exercise contains six multiple choice and one free response question.  Answers...
Worksheet
Curated OER

Solving Inequalities

For Students 9th - 11th
In this inequalities worksheet, students solve and graph inequalities. They shade the answer region. Explanations and examples are provided at the beginning of the document. Answers are at the end of the worksheet. This four-page...
Worksheet
Curated OER

Using Inequalities to Solve Problems

For Students 9th - 11th
In this Algebra I/Algebra II worksheet, students use inequalities to solve verbal problems.  The one page worksheet contains a combination of seven multiple choice and free response questions.  Answers are included
Worksheet
Curated OER

Graphing Inequalities in Two Variables

For Students 7th - 10th Standards
This study guide is a great resource to help you present the steps to graphing linear inequalities. Show your class two different ways to graph an inequality and work on a real-world example together. The document could also be easily...
Handout
Charleston School District

Solving with Inverse Operations

For Students 8th Standards
What does order of operations have to do with solving equations? A video explains solving two-step equations using a do/undo chart. Learners recognize the operations within an equation and use inverse operations to undo those...
Worksheet
Curated OER

Solving Multi-Step Inequalities

For Students 7th - 10th Standards
Ready to study inequalities with your class? Use this worksheet to solve multi-step inequalities and graph the solutions. The document would be great to use as a study guide as you present the material, or could easily be modified and...
Worksheet
Curated OER

Quiz: Variable Expressions

For Students 7th - 8th
In this variable expression worksheet, learners read word statements and translate them into an algebraic expression. Afterward, students solve the one-variable equations. This one-page worksheet contains ten problems.
Worksheet
Curated OER

Solving Multistep Linear Equations

For Students 10th
In this multistep linear equations worksheet, 10th graders solve and complete 21 different multiple choice problems. First, they determine the value of a given variable by using multisteps. Then, students determine the equation that...
Worksheet
Curated OER

Linear Inequality

For Students 7th
Seventh graders solve and complete 12 different problems that include graphing and using multi-steps to solve. First, they solve each multi-step linear non-compound inequality with the given values. Then, pupils graph each solution given...
Lesson Plan
Curated OER

Solving Equations Using Two Operations

For Teachers 5th - 7th
Need more detail in showing your class how to solve two-step equations and proportions? This lesson plan outlines the steps young mathematicians need to solve simple equations and check their results. 
Worksheet
Curated OER

Unit 12 - Version 6.0 - Worksheet 1 - Inequality

For Students 9th - 11th
In this inequality worksheet, students solve inequality equations and graph the solution on a number line. They add and subtract fractions with variables and unlike denominators. Students solve absolute variable equations with one...
Worksheet
1
1
Curated OER

Quick Graphs of Linear Equations

For Students 9th - 12th Standards
Graph equations of lines using the slope-intercept method or by plotting both x and y intercepts. Determine if two lines are parallel or perpendicular by comparing their slopes. This handout includes step-by-step directions and four...
Lesson Plan
Pennsylvania Department of Education

Using Expressions and Equations

For Teachers 6th
Sixth graders analyze expressions and equations. In this algebra instructional activity, 6th graders write algebraic sentences and solve for an unknown in a one-step equation. This instructional activity uses the formulas for the...
Worksheet
Curated OER

Solving Equations with the Variable on Both Sides

For Students 9th
In this solving equations worksheet, 9th graders solve and complete 21 different problems that include solving various equations that contain a variable on both sides of the equal sign. Then, students write an equations and solve it,...