EngageNY
Graphs of Simple Nonlinear Functions
Time to move on to nonlinear functions. Scholars create input/output tables and use these to graph simple nonlinear functions. They calculate rates of change to distinguish between linear and nonlinear functions.
Curated OER
Systems of Equations and Real Life
What a great classroom resource! The intention of this lesson plan is to show that real-world math can and should be applied to the community in which your students reside. The class relates properties of equations to solving for species...
Curated OER
Interpreting Graphs
Sixth graders interpret linear and nonlinear graphs. They create graphs based on a problem set. Next, they represent quantitive relationships on a graph and write a story related to graphing.
Willow Tree
Approximating a Line of Best Fit
You may be able to see patterns visually, but mathematics quantifies them. Here learners find correlation in scatterplots and write equations to represent that relationship. They fit a line to the data, find two points on the line, and...
Howard County Schools
Exponential Decay Exploration
How can you model exponential decay? Explore different situations involving exponential decay functions and decreasing linear functions by performing activities with MandM candy, popcorn kernels, and number cubes.
Annenberg Foundation
Skeeters Are Overrunning the World
Skeeters are used to model linear and exponential population growth in a wonderfully organized lesson plan including teachers' and students' notes, an assignment, graphs, tables, and equations. Filled with constant deep-reaching...
EngageNY
Analyzing a Verbal Description
What function will describe the insect population growth? Pairs or small groups work together to determine which type of function and specific function will model given scenarios. The scenarios differentiate between linear,...
EngageNY
Modeling Relationships with a Line
What linear equation will fit this data, and how close is it? Through discussion and partner work, young mathematicians learn the procedure to determine a regression line in order to make predictions from the data.
Illustrative Mathematics
How Many Solutions?
Determining the number of solutions is an important stepping stone to higher math. In this case, the resource asks algebra pupils to find a second linear equation for a certain solution of a system. When one is asked for a linear...
Curated OER
Algebra 1, Unit 7, Lesson 8: Practice Finding the Equation of a Line
Learners solve systems of linear equations by graphing. The introduction of the lesson asks students to work in pairs or small groups to graph a line when given two points. Learners graph 14 equations on the same coordinate grid to...
Curated OER
Exploring Linear Equations
Third graders use graphing calculators to graph equations. They make visual models of algebraic expressions and they can readily see that an equation represents something.
Curated OER
Real World Systems of Linear Equations
Learners solve systems of equations with fluency. In this algebra lesson, students graph, use elimination and substitution to solve systems of equations. They identify the point of intersection using algebra.
Curated OER
Systems of Linear Equations Modeling!
Students focus on finding solutions to situations found in everyday life. Students participate in activities to solve a system of equations, identify the system as consistent and independent, consistent and dependent or inconsistent. ...
PBS
The Yo-Yo Problem
What do yo-yos and pennies have to do with linear equations? Learn about writing and solving linear equations while considering the Yo-Yo Problem and Penny Pattern Exploration from the High School Math Project. Learners utilize algebra...
Curated OER
Worksheet 1 - Equation of a Line
In this equation of a line worksheet, students determine the equation of a line, use the distance formula to identify the relationship between two moving objects, and solve inequalities algebraically. This two-page worksheet contains...
Curated OER
What Functions do Two Graph Points Determine?
Your algebra learners write linear, exponential, and quadratic equations containing the same two graph points in this collaborative task.
Virginia Department of Education
Graphing Systems of Inequalities
Apply systems of inequalities to a real-world problem. Here, scholars learn to graph solutions to systems of linear inequalities. To finish the lesson, they solve a problem involving burgers and cheeseburgers using a system of inequalities.
EngageNY
Analyzing a Graph
Collaborative groups utilize their knowledge of parent functions and transformations to determine the equations associated with graphs. The graph is then related to the scenario it represents.
Texas Instraments
Getting Started Dilemma
Get out those thinking caps and apply graphing functions to a real-world problem. Use the TI-83 graphing calculator to evaluate algebraic expressions that are imbedded in a series of real-world scenarios. A great lesson!
EngageNY
Analyzing a Data Set
Through discussions and journaling, classmates determine methods to associate types of functions with data presented in a table. Small groups then work with examples and exercises to refine their methods and find functions that work...
Curated OER
Linear and Exponential Models
Students linearize data to determine if an exponential model is suitable. In this linearizing data to determine if an exponential model is suitable lesson, students graph the residuals of sets of data that appear to have an exponential...
Curated OER
Systems of Linear Equations - Standard Form
Students write systems of equations and find solutions to systems of equations. They explain how they determined their solutions to a system of equations and justify their solutions. In addition, they write equations in standard form and...
Curated OER
Linear Graph
Students solve linear equations and graph the different functions. In this algebra lesson, students graph piecewise functions using the slope and y-intercept and the given restrictions on the domain of the line. They discuss rate of...
Curated OER
Graphing Nonlinear Equations
Students graph non-linear equations. In this algebra lesson plan, students investigate different polynomial functions and their shapes. They identify the different powers and zeros.