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
Lesson 8: Absolute Value in Equations & Inequalities
This lesson contains a number of good examples and explanations of solving absolute value equations and inequalities. Piece-wise functions, and compound inequalities are also discussed. This lesson contains some additional exercises for...
Mathematics Vision Project
More Functions, More Features
Learners tackle a wide range of intimidating topics in this comprehensive unit that spans piecewise functions, absolute value of functions, and inverse functions (among other topics). Investigative group work alternates with more...
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...
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 instructional...
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...
Curated OER
Types of Functions
Students 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...
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
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.
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
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
Lesson #2 Absolute Value and Symmetry
Students investigate absolute value functions. In this Algebra II/Pre-calculus/Calculus lesson, students explore the formal definition of absolute value and apply the piece-wise definition to solve inequality problems. Students explore...
Curated OER
Muggie Maggie- Lesson 7
Students read a chapter in a book. In this reading comprehension and vocabulary instructional activity, students predict what will happen in chapter 7 of Muggie Maggie, define and illustrate new vocabulary words, read chapter 7, and...
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. In this physics lesson, students collect and analyze acceleration data on amusement park rides. Students use CBLs to collect data in this lesson.
Calvin Crest Outdoor School
Survival
Equip young campers with important survival knowledge with a set of engaging lessons. Teammates work together to complete three outdoor activities, which include building a shelter, starting a campfire, and finding directions in the...
Curated OER
Legend of The Lorax
Learners explore ecosystems. They read or listen to Dr. Seuss' The Lorax to draw conclusions and make predictions about the environmental impact and use of resources. They write poems about real forests and the wildlife which inhabit...
Curated OER
Pronoun-Antecedent Agreement Made Easy
Middle and high schoolers check their writing for pronoun-antecedent agreement. After identifying the pronouns in their writing, they then complete a table with the pronouns and corresponding antecedents, making revisions as necessary.