EngageNY
Relationships Between Quantities and Reasoning with Equations and Their Graphs
Graphing all kinds of situations in one and two variables is the focus of this detailed unit of daily lessons, teaching notes, and assessments. Learners start with piece-wise functions and work their way through setting up and solving...
Curated OER
Piecewise Linear Functions: Extending Stories to Graphs
Using this resource, scholars develop graphs that model situations by showing change over time. They answer 15 questions based on information from charts that show growth in weight. They extend the concepts to an assessment section of...
Radford University
Skate Ramp
Going up and down makes a more exciting ride. Pupils recall what they know about continuity and limits of functions. Working in groups, classmates design a skateboard ramp that meets a given set of criteria, using at least three...
Curated OER
Types of Functions
Learners graph step functions (for example, the greatest integer function), and then form the inverse function of given function. They also graph piece-wise defined functions and explain step-by-step the process. Finally, students define...
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...
Curated OER
Types of Functions and Composition of Functions
Algebra II classes solve problems relating to piecewise functions, step functions, and decomposition/composition of functions. They utilize links to work with real world examples. Mr. Pleacher has added humor to the lesson by including...
Illustrative Mathematics
Bike Race
A graph not only tells us who won the bike race, but also what happened during the race. Use this resource to help learners understand graphs. The commentary suggests waiting until the end of the year to introduce this topic, but why...
Curated OER
Shortest Path
High schoolers explore an application of definite integrals. They graph three functions that go through the same three points. Learners use the symbolic capacity of their calculators to find the shortest path through the three points and...
Curated OER
Functional Analysis
Students perform functional analysis. In this pre-calculus lesson, students recognize the different elements of a function, graph a function and analyze it. They synthesize composites of other basic functions.
Curated OER
Worksheet 1, Basic Calculus Pre-Course Review
In this calculus worksheet, students review topics they need to already understand in order to be successful in a basic calculus course. Topics include functions, linear equations, coordinate graphing, piece-wise formulation, exponents,...
Curated OER
Perfect Shuffles
Students investigate piecewise functions. In this algebra lesson, students model piecewise functions in the real world. They graph the parts of the functions following the restrictions of the domain.
Curated OER
Absolute Value And Symmetry
Students engage in a lesson that is concerned with the concepts of absolute value and symmetry. They define the meaning of absolute value and graph functions and study the corresponding line and its symmetry. The lesson includes calculus...
Curated OER
Amusement Park Physics
Students get up close and personal with principles of motion. For this physics lesson, students collect and analyze acceleration data on amusement park rides. Students use CBLs to collect data in this lesson.