Inside Mathematics
Picking Apples
Getting the best pick of the apples depends on where to pick. The short assessment presents a situation in which class members must analyze a real-world situation to determine the cost of picking apples. The pricing structures resemble...
EngageNY
Why Are Vectors Useful? 2
Investigate the application of vector transformations applied to linear systems. Individuals use vectors to transform a linear system translating the solution to the origin. They apply their understanding of vectors, matrices,...
EngageNY
Characteristics of Parallel Lines
Systems of parallel lines have no solution. Pupils work examples to discover that lines with the same slope and different y-intercepts are parallel. The 27th segment of 33 uses this discovery to develop a proof, and the class determines...
Alabama Learning Exchange
Add, Subtract, and Multiply Matrices
Introduce the concept of matrices with a pre-designed instructional activity. Learners watch video lessons to learn the ins and outs of adding, subtracting, and multiplying matrices. Using provided problems, they practice each operation...
West Contra Costa Unified School District
Modeling Division of Fractions
Introduce young mathematicians to the process of dividing fractions with a hands-on math lesson. Using the help of fraction strips and other visual models, children work through a series of example problems as they deepen their...
Illustrative Mathematics
Points on a Graph
Learners practice using their knowledge of how to interpret a function and use function notation. The activity includes two questions. Given an input of a function and its output, the first question asks learners to write the ordered...
Virginia Department of Education
Using Order of Operations and Exploring Properties
If you need some creative ways to teach the order of operations, use a series of activities that focus on properties. Each lesson uses different materials and works as a stand-alone activity, or can build upon the concepts of the last...
EngageNY
Geometric Sequences and Exponential Growth and Decay
Connect geometric sequences to exponential functions. The 26th installment of a 35-part module has scholars model situations using geometric sequences. Writing recursive and explicit formulas allow scholars to solve problems in context.
CK-12 Foundation
Translating Sine and Cosine Functions: Translating Sine
Learn how to slide sine back and forth and up and down. Pupils move the starting point of a graph of sine vertically and horizontally. They investigate the changes to the equation of the graph in relationship to the translation. They...
West Contra Costa Unified School District
Average Rate of Change
The concept of slope gets an approachable, yet theoretical, treatment in a comprehensive algebra lesson. The use of functional notation and problem-solving techniques keep the material rigorous, but detailed teaching notes and lots of...
Curated OER
Algebraic Relationships
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,...
Curated OER
Interactivate - Lines, Rays, Line Segments, and Planes
Pupils explore lines, rays, line segments, and planes. In this math lesson, students discuss the math concepts and direct their instructor in graphing functions. Pupils collaborate in graphing additional functions.
Ohio Department of Education
Models for Dividing Fractions - Grade Six
Fifth and sixth graders use food and candy to help them represent division of fractions and develop algorithms to solve fraction problems. They discuss dividing whole numbers by fractions. Pupils use sticks and chocolate bars to study...
Curated OER
Quadratic Functions
Learners explore the concept of quadratic equations. In this quadratic equations learning exercise, students determine what shifts of a parent graph will look like by describing in sentences. Learners factor quadratic expressions and...
Curated OER
Hands-On Equations
Use this worksheet with the Hands-On Equations kit of manipulatives. Learners find the value of x in 5 equations, then check their answers. A great addition to your math lesson!
Curated OER
Graph Dynamic Linear Equations
Students explore the concept of linear equations. In this linear equation lesson, students change parameters of an equation and notice the effect it has on its graph.
Curated OER
Solving Systems by Substitution
Students solve systems of linear equations using substitution. They investigate the steps to solving linear equations by substitution and practice problems in small groups.
Curated OER
Systems of Equations
In this solving systems of equations worksheet, 9th graders solve and complete 12 different problems algebraically. First, they solve each system of equations using substitution. Then, students solve each system of equations using...
Curated OER
Solving Quadratic Systems
In this solving quadratic systems worksheet, 11th graders solve 8 different problems. First, they solve each system of equations algebraically. Then, students solve each system of inequalities by graphing on the grids provided for each...
Curated OER
Solving Algebraic Expressions
Students simplify equations and expressions. In this algebra lesson, students add, subtract, multiply and divide as they solve expressions. They relate factoring to solving polynomials.
Curated OER
Linear and Exponential Functions
This comprehensive unit on linear and exponential functions provides numerous clearly-written worksheets. Topics include graphing linear equations, solving systems of equations algebraically and by graphing, identifying the domain and...
Florida Center for Instructional Technology
A Human Number Line: Teacher Notes
Twenty-one pieces of tagboard can lead your class to a greater understanding of integers when you use them to form a human number line. After creating this math tool, two strategies for adding and subtracting will have your...
Curated OER
Balancing Equations and Using a Pyramid
Sixth graders complete worksheets and make journal entries to interpret mathematical expressions about the pyramids. In this equality by balancing equations lesson plan, 6th graders participate in groups or by themselves to complete...
Curated OER
Solving Systems of Inequalities
In this algebra worksheet, students solve systems of inequality using the graphing method. There are 5 questions with lots of examples and an answer key.