Project Maths
Integral Calculus
From derivatives to antiderivatives and back again. Building on the second lesson plan of the three-part series covering functions, learners explore the concept of an antiderivative. They connect the concept to the graph of the function...
Curated OER
Graphing Linear Functions
Seventh graders identify the use of a function.They are asked to describe the input and output of a function. Students also identify different aspects of the coordinate system and represent functions in a visual graph.
Curated OER
Sloping and Intersecting a Linear Function
High schoolers examine and discuss typical linear equations, and the difference between a linear and nonlinear equation. They observe examples of linear equations and complete a worksheet.
Curated OER
Reciprocals of Quadratic Functions
Eleventh graders investigate inverse functions. In this Algebra II instructional activity, 11th graders use their prior knowledge of linear, exponential,and quadratic functions to create a graph of an equation they have never seen...
Curated OER
Explore Graphs and Factors
Pupils graph the factors of a quadratic as linear equations and graph the parabolic equation in factored form. Also, they investigate the relationship between the x-intercepts of the lines and the zeros of the parabola.
Curated OER
Graphing Functions
In this graphing functions worksheet, students solve and complete 13 different problems that include identifying and graphing various functions. First, they graph each of the functions shown on the graphs provided. Then, students solve...
Curated OER
Graphs Involving Absolute Value
In this Algebra I/Algebra II worksheet, students graph absolute value functions. The two page worksheet contains four multiple choice questions. Answers are included.
Curated OER
Slopes of Lines
Students examine a graph and relate it to the real world situation it depicts. They investigate changes in an equation and the appearance of a line. They investigate the connection between the graph of a situation and the meaning of the...
Curated OER
Math Regents Exam Questions: Graphing Rational Functions
In this graphing rational functions learning exercise, students answer 18 multiple choice problems about rational functions. Students determine values for a which a function is undefined given the equation of the function.
Curated OER
Discovering Different Types of Functions
Graph polynomials and identify the end behavior of each polynomial function. The class differentiates between linear, quadratic, and other polynomial equations.
Illustrative Mathematics
Riding by the Library
Draw a graph that shows the qualitative features of a function that has been described verbally. Make sure learners understand where time is zero and the distance is zero. It may take them some time to understand this concept, so working...
Curated OER
Linear Inequalities in One and Two Variables: Rays and Half Planes
Define rays and half planes, including the concepts of boundary lines and prerequisite knowledge of coordinate planes. Given linear inequalities in one and two variables, your class will compare the differences. They will also graph...
Curated OER
Twenty-Seven Graphing Lines, Parabolas, and Absolute Value Problems
Have learners find coordinates of point on a graph, find equations of graphs given, and graph given equations using in and out tables. There are 27 problems related to equations for lines, parabolas, and absolute value functions.
Curated OER
Linear Functions-Learn Your Lines
Students solve and graph linear equations. In this algebra instructional activity, students collect and plot data on a coordinate plane. They use the CBL and TI calculator to graph systems of equation.
Curated OER
Activity 11: Family of Functions
Students investigate linear, quadratic, and absolute value functions. In this Algebra II lesson plan, students observe and describe family traits that exist among functions as they use technology to graph several functions on the...
Curated OER
Exponential Growth
Students study exponential functions. In this exponential growth lesson, students conduct a simulation in which a population grows at random but predictable rate. Students compare and contrast linear and exponential functions. Students...
EngageNY
Modeling a Context from Data (part 2)
Forgive me, I regress. Building upon previous modeling activities, the class examines models using the regression function on a graphing calculator. They use the modeling process to interpret the context and to make predictions...
EngageNY
End-of-Module Assessment Task - Algebra 1 (Module 3)
Looking for higher-level thinking questions? This assessment provides questions that challenge young mathematicians to think and analyze rather than simply memorize. Topics include piecewise functions, linear modeling, exponential...
5280 Math
More or Less the Same
Tell the story of the math. Given a graph of a linear system, learners write a story that models the graph before crafting the corresponding functions. Graphs intersect at an estimated point, allowing for different variations in the...
Concord Consortium
Betweenness I
Just between us, this is a pretty cool lesson! Given two functions with the same slope, learners write three new functions whose outputs are all between the given functions. The question is open-ended, allowing pupils to explore the...
Curated OER
Barbie Bungee
Middle and high schoolers collect and analyze their data. In this statistics lesson, pupils analyze graphs for linear regression as they discuss the relationship of the function to the number of rubber bands and the distance of the...
West Contra Costa Unified School District
Writing Exponential Functions Based on Data
Give your class a concrete example of exponential growth and decay using this hands-on activity. These Algebra II lessons allow for the exploration of exponential growth and decay models, as well as the discovery of the patterns of...
Inside Mathematics
Conference Tables
Pupils analyze a pattern of conference tables to determine the number of tables needed and the number of people that can be seated for a given size. Individuals develop general formulas for the two growing number patterns and...
Balanced Assessment
Getting Closer
Flip the script! Reverse the situation and ask the class to find the function given asymptotes. The task requires class members to use their knowledge of functions and asymptotes to create functions that have a given asymptote or...