Worksheet
Mt. San Antonio Collage

#### Test 1: Functions and Their Graphs

For Students 9th - 12th Standards
Save the time creating an assessment because these function problems should do the trick. With 10 multi-part questions, they each focus on a different topic including radical, polynomial, linear and piecewise functions. The majority of...
Worksheet
University of North Texas

#### Math Exam 1 Review

For Students 9th - 12th Standards
Perfect as a review guide, this worksheet provides a range of questions focusing on functions. Topics include composing functions, transformations, domains, and polynomials. Also included are corresponding worksheets focusing on other...
Lesson Plan
Curated OER

#### Is There a Limit to Which Side You Can Take?

For Teachers 9th - 12th Standards
Calculus high schoolers find the limit of piecewise functions at a value. They find the limit of piecewise functions as x approaches a given value. They find the limit of linear, quadratic, exponential, and trigonometric piecewise...
AP Test Prep15:39
1
1
Flipped Math

#### Calculus AB/BC - Applying Properties of Definite Integral

For Students 10th - 12th
Properly apply the properties of integrals. By watching a video, scholars learn about the properties of definite integrals. They see how to use the area under a curve and the properties to determine the value of a given definite integral.
Worksheet
2
2
Flipped Math

#### Unit 8 Review: Functions

For Students 9th - 10th Standards
Let's finish a functional review. Pupils work through 31 items to review the concepts learned in Unit 8. Scholars determine whether a mapping is a function and identify the domain and range. Using function notation, individuals then...
Instructional Video18:18
2
2
Flipped Math

#### Piecewise Functions

For Students 9th - 10th Standards
Break it up into pieces to solve the problem. Individuals watch a video on how to graph and determine the equation and values of piecewise functions. Viewers then work several exercises to practice evaluating a piecewise function at...
AP Test Prep5:08
1
1
Flipped Math

#### Calculus AB/BC - Connecting Multiple Representations of Limits

For Students 10th - 12th
It's time to put it all together. Viewers of an informative video learn to connect multiple representations of limits. Given algebraic, tabular, and graphical representations of a linear piecewise function, they determine whether a limit...
AP Test Prep9:18
1
1
Flipped Math

#### Calculus AB/BC - Determining Limits Using Algebraic Properties

For Students 10th - 12th
Taking calculus doesn't mean one can forget all about algebra. Viewers of an educational video learn how to determine limits using algebraic properties. They apply basic operations to calculate limits and use substitution to find one-...
Performance

#### Skate Ramp

For Teachers 9th - 12th Standards
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...
Performance

#### Create A Ramp Design

For Teachers 9th - 12th Standards
Ramp up a design challenge. Class members design ramps to meet a client's requirements to comply with the American with Disabilities Act. The scholars create a scaled graph of their designs and determine the equations of the lines on...
Assessment
Concord Consortium

#### Painted Stage

For Students 11th - 12th Standards
Find the area as it slides. Pupils derive an equation to find the painted area of a section of a trapezoidal-shaped stage The section depends upon the sliding distance the edge of the painted section is from a vertex of the trapezoid....
AP Test Prep
College Board

#### 2003 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
Take a free look. Released free-response questions from the 2003 AP® Calculus AB exam show how questions cover different topics. Pupils and teachers review the topics of bounded regions, particle movement, rates, relationships between...
AP Test Prep
College Board

#### 2001 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
Take a closer look at the exam. Released items from the 2001 Calculus AB exam allow teachers and pupils to view how the exam presents questions. Scholars use the questions to prepare for the test and compare their responses to the...
Assessment
1
1
CCSS Math Activities

#### Smarter Balanced Sample Items: High School Math – Claim 3

For Teachers 9th - 12th Standards
Communication is the key. A presentation provides 25 sample items for Claim 3, Communicating Reasoning, for the Smarter Balanced High School Math assessment. Items require pupils to answer the question and provide logical reasoning to...
Unit Plan
Mathematics Vision Project

#### Module 8: More Functions, More Features

For Teachers 8th - 10th Standards
A piece of this and a piece of that, add domain restrictions and create a piecewise function. Young scholars explore piecewise functions with and without context. Functions include both linear and quadratic parts. The module is the...
Activity
5280 Math

#### Factory Functions

For Teachers 8th - 10th Standards
Solve a real-life problem using function-building skills. Presented with an open-ended question, scholars complete a checklist to create and justify a solution in an interesting algebra project. The checklist asks for justifications of...
Unit Plan
Mathematics Vision Project

#### Module 3: Features of Functions

For Students 8th - 10th Standards
Learn how to represent functions in multiple ways. Learners analyze functions as equations, graphs, and verbal descriptions. The analysis includes intercepts, behavior, domain, and range. The module of seven lessons makes up the third...
Lesson Plan
Mathematics Assessment Project

#### Representing Functions of Everyday Situations

For Teachers 10th - 12th Standards
Functions help make the world make more sense. Individuals model real-world situations with functions. They match a variety of contexts to different function types to finish a helpful resource.
Unit Plan
Mathematics Vision Project

#### Features of Functions

For Teachers 9th - 10th Standards
What are some basic features of functions? By looking at functions in graphs, tables, and equations, pupils compare them and find similarities and differences in general features. They use attributes such as intervals of...
Activity
PBL Pathways

#### Medical Insurance 3

For Students 11th - Higher Ed Standards
Create a technical report explaining the components of a medical plan through a function. The project-based learning activity gives a medical insurance scenario that young mathematicians model using piecewise functions. Their analyses...
Activity
PBL Pathways

#### Medical Insurance 2

For Students 10th - Higher Ed Standards
Make an informed decision when choosing a medical insurance provider. An engaging lesson asks your classes to write piecewise models to represent the cost of different medical plans. The project-based learning activity is a variation of...
Activity
PBL Pathways

#### Medical Insurance

For Students 10th - Higher Ed Standards
Design a plan for finding the best health insurance for your money. Learners compare two health plans by writing and graphing piecewise functions representing the plan rules. Using Excel software, they create a technical report...
Activity
PBL Pathways

#### Death Project

For Teachers 10th - Higher Ed Standards
Verify the rule of thumb for finding the time of death. The project-based learning task asks pupils to determine when the rule of thumb process of finding the time of death is appropriate. Learners develop a function for the rule and...
Assessment
Illustrative Mathematics

#### Bank Account Balance

For Students 9th - 12th Standards
Represent the ups and downs of a bank account. The two-part task points out that some types of graphs may better show discrete functions than others. Pupils analyze a graph on how well it represents the situation. They develop their own...