Curated OER
Linear Programming
Students explore inequalities to determine the optimal solution to maximize a profit for a company. For this linear programming lesson, students discover how to graph inequalities and how to determine the algebraic representation of a...
Illustrative Mathematics
Do Two Points Always Determine a Linear Function?
Your learners can approach this task algebraically, geometrically, or both. They analyze the building of a linear function given two points and expand the concrete approach to the abstract when they are asked to find the general form of...
Curated OER
Do Two Points Always Determine an Exponential Function?
Algebra learners explore, analyze and build an exponential equation given its form and a specific point that exists on the function in this task. The last question asks learners to apply their ideas to an exponential equation given two...
Virginia Department of Education
Square Patios
Build a patio from toothpicks and marshmallows to analyze functions! Learners look for patterns in the data as they create different size patios. As they discover patterns, they make connections between the different representations of...
Curated OER
Linear Inequalities in Two Variables
Graph and solve linear equations in two variables. The class relates the concepts of linear equations to the real world.
EngageNY
Properties of Trigonometric Functions
Given a value of one trigonometric function, it is easy to determine others. Learners use the periodicity of trigonometric functions to develop properties. After studying the graphs of sine, cosine, and tangent, the lesson connects them...
Curated OER
Forms of Quadratic Equations
Transformations of parabolas to fit a particular quadratic equation is taught through this lesson. In this transforming parabolas to fit a particular quadratic equation lesson, students describe the transformations of the parabola...
02 x 02 Worksheets
Inverse Functions
Young mathematicians look for patterns in inverse functions as they relate to the original functions. The comprehensive instructional activity emphasizes vocabulary throughout as well as algebraic and graphical characteristics of the...
Curated OER
Middle Grades Math: Balancing Equations
Learners solve linear equations. By observing the graph of each side of an equation using the TI-nspire graphing calculator, your class gains insight into solutions, as well as balancing equations and transforming linear equations....
Curated OER
Exploring Expressions
Examine parts of an expression in this algebra lesson. Ninth graders identify the properties of the coefficient and their behavior to the graph. They graph the equation on a TI to see their results.
Curated OER
Exponential Functions
Your algebra learners analyze and interpret the general form and the graph of two functions. The increase of the function due to the multiplicative factor is emphasized.
02 x 02 Worksheets
Absolute Value Equations and Inequalities
Demonstrate the meaning of an absolute inequality using three different methods. Here, scholars explore absolute value inequalities through graphing, number line distance, and compound inequalities. Pupils complete various activities to...
Curated OER
Systems of Equations: What Method Do You Prefer?
Students explore the concept of solving systems of equations. In this solving systems of equations lesson, students watch YouTube videos about how to solve systems by graphing and by elimination. Students use an interactive website to...
Curated OER
Solving Systems Using Substitution
Write a math story for a series of problems using given variables. The class writes stories, showing understanding of strategies in compound sentences. They then solve the equations.
Shodor Education Foundation
Cross Sections
Use this activity on cross-sections of three-dimensional shapes in your math class to work on algebra or geometry Common Core standards. The lesson includes a list of relevent terminology, and a step-by-step process to illustrate the...
Curated OER
Real-World Linear Programming
Explore linear programming on a website game. Partners solve a real-world problem by setting up an objective function and a linear inequality. They graph their results on chart paper and also using a calculator before presenting their...
Curated OER
Solution Sets
Here is a task that gives the graph of the solutions of a system of linear inequalities and asks learners to analyze and write the algebraic form of the systems. By turning the problem around, learners make the connections between...
Kent State University
How Does that Work?
Sixth and seventh graders explore algebra word problems. They work with a partner to solve word problems distributed by e-mail. Learners simplify mathematical expressions following a "think aloud" algebra strategy modeled by the teacher....
Alabama Learning Exchange
Bloodstain Pattern Doesn't Lie......
An interesting instructional activity on hypothesizing about the diameter of a drop of blood that is splattered. To test their theories, learners work in groups to make blood droplets splatter from different heights. They use graphed...
Curated OER
Latitude
Your young geologists generate a graph given a table of values from the context of latitude and percent of the earth's surface north of that latitude. The questions in the activity then focus the learners to a deeper understanding of the...
EngageNY
Secant and the Co-Functions
Turn your class upside down as they explore the reciprocal functions. Scholars use the unit circle to develop the definition of the secant and cosecant functions. They analyze the domain, range, and end behavior of each function.
Ohio Department of Education
The Solution is Complex
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....
Curated OER
Introduction to the National Debt
Learners relate the national debt to the economy. In this algebra instructional activity, students discuss what the national debt is, create a national budget based on priority and what the government should spend money on. They analyze...
Curated OER
Domain and Range: Equation
For this algebra worksheet, learners state the domain and range of various functions and equations. There are five questions and some are multiple choice questions.