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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...
Worksheet
Curated OER

Piecewise Practice Problems

For Students 10th - 12th
In this algebra worksheet, students validate continuity of a graph by a defined interval as well as determine continuity of a piecewise function.
Handout
Charleston School District

Sketching a Piecewise Function

For Students 8th - 9th Standards
How do you combine linear and nonlinear functions? You piece them together! The lesson begins by analyzing given linear piecewise functions and then introduces nonlinear parts. Then the process is reversed to create graphs from given...
Worksheet
Curated OER

Finding the Limit: Piecewise Functions and Graphs

For Students 9th - Higher Ed
This pre-calculus worksheet is short, yet challenging. High schoolers calculate the limit of piecewise functions, rational functions, and graphs as x approaches a number from the positive or negative side. There are four questions.
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
Curated OER

Piecewise Linear Functions: Extending Stories to Graphs

For Students 8th - 10th
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...
Worksheet
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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...
Lesson Plan
EngageNY

Analyzing a Graph

For Teachers 9th - 10th Standards
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. 
Worksheet
Curated OER

Evaluating Functions

For Students 11th
In this evaluating functions worksheet, 11th graders solve and complete 24 various types of problems. First, they evaluate the functions for the given values. Then, students graph each of piecewise functions. They also write an equation...
Worksheet
Curated OER

Easy Worksheet: Limits 2

For Students 11th - 12th
For this limits worksheet, students solve 4 short answer problems. Students identify the limit of a function for a specified value given a graph, equation, or piecewise function.
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...
Lesson Plan
Curated OER

Piecewise-Defined Functions 2

For Teachers 10th
In this Piecewise-Defined function worksheet, 10th graders identify the function for a given graph. Additionally, they find the y-intercept, y-intercept, domain, range and interval of each function. Students solve this information for...
Lesson Plan
Curated OER

Piecewise-Defined Functions 1

For Teachers 10th - 11th
In this piecewise-defined function, learners explore the graph of given functions and match it to the proper equation. They identify the x and y-intercepts, domain, range, and interval of each function. There are approximately ten...
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....
Worksheet
Curated OER

Droodle Graphs

For Students 10th - 11th
In this algebra worksheet, students graph piecewise functions, and circles using restrictions. They graph a line and chop it on both ends to create a stair case looking graph or a ladder. There are 3 involve questions with an answer key.
Assessment
Concord Consortium

Filling the Pool

For Students 10th - 12th
Fill your mind with math as you think about filling a pool. Given information about the rates of two pipes, one filling a pool and one draining a pool, learners determine a piecewise function that models the volume of water in the pool...
Assessment
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Balanced Assessment

Postcards from the Falls

For Students 9th - 12th Standards
Pupils use graphs to analyze two pricing schemes for postcards. After determining which is the best deal, individuals determine what is wrong with the other pricing structures and explain their thinking.
Assessment
Del Mar College

Algebra Assessment Review

For Students 10th - Higher Ed Standards
Jam packed with problems, this advanced Algebra worksheet focuses on topics such as domain, solving quadratics, solving rationals, and function notation.  
Worksheet
University of North Texas

Math Exam 1 Review

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

Worksheet 4, Functions

For Teachers 8th - 9th
Eighth and ninth graders graph a given function and identify the domain, range and intercepts. Theytell the intervals that the function is increasing, decreasing, or constant. Pupils identify the minimum and maximum of the graph, and...
Worksheet
Curated OER

Graphing Review

For Students 10th - 12th
in this graphing review activity, students solve a variety of problems such as interpreting parabolas, identifying intercepts and asymptotes, and identifying functions. They solve piecewise functions and rational functions. This twenty...
Assessment
Inside Mathematics

Picking Apples

For Teachers 8th Standards
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...
Assessment
1
1
Balanced Assessment

Bagels or Donuts

For Students 9th - 12th Standards
Explore business problems through mathematical analysis. The task has individuals write and graph a linear system to determine the best business model. They use their models to answer a series of questions that help to make a conclusion.
Worksheet
Curated OER

Linear Functions and Piecewise Linear Functions

For Students 12th - Higher Ed
An activity that could function as a review or as a quiz, this worksheet prompts students to find two different linear functions that satisfy the given equation. Students sketch the graph of two linear equations. They identify the domain...