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EngageNY
Linear Functions and Proportionality
Connect linear equations, proportionality, and constant rates of change to linear functions. Young mathematicians learn how linear equations of the form y = mx + b can represent linear functions. They then explore examples of linear...
Illustrative Mathematics
Identifying Even and Odd Functions
Is it even ... or odd? The task provides four functions to identify as being even, odd, or neither. Pupils use algebraic methods to make their decisions with select exponential, quadratic, and cubic functions.
Mathematics Vision Project
Linear and Exponential Functions
Provide a continuous progression to linear and exponential functions. Pupils continue to work with the discrete functions known as sequences to the broader linear and exponential functions. The second unit in a series of nine provides...
EngageNY
Modeling with Inverse Trigonometric Functions 2
Use inverse trigonometric functions to work with ramps, rabbits, and Talladega. The class models real-world situations with trigonometric functions and solves them using inverses in the 15th installment of a 16-part series. Pupils solve...
Chicago Teachers Union Quest Center
Factored Form of a Quadratic Function
Build upon linear functions to learn about quadratics. The lesson introduces the concept of zeros for quadratic functions and makes the connection to the linear factors of the function. It presents quadratics in both graphical and...
EngageNY
End-of-Module Assessment Task - Algebra 1 (Module 5)
This unit assessment covers the modeling process with linear, quadratic, exponential, and absolute value functions. The modeling is represented as verbal descriptions, tables, graphs, and algebraic expressions.
Mathematics Vision Project
Module 3: Arithmetic and Geometric Sequences
Natural human interest in patterns and algebraic study of function notation are linked in this introductory unit on the properties of sequences. Once presented with a pattern or situation, the class works through how to justify...
Kenan Fellows
Designing and Analyzing Data Collected from Wearable Devices to Solve Problems in Health Care
Wearable devices have become more the norm than the exception. Learners analyze data from a sample device with a regression analysis in a helpful hands-on lesson. Their focus is to determine if there is a connection between temperature...
Concord Consortium
The Line and the Ellipse
What do a line and an ellipse have in common? Maybe zero, one, or two points! Learners consider the equation of an ellipse and a line to determine if their graphs have any shared points. They then write a system of equations, including...
Mathematics Assessment Project
Classifying Equations of Parallel and Perpendicular Lines
Parallel parking might be difficult, but finding parallel lines is fairly simple. In this lesson, learners first complete an assessment task involving parallel and perpendicular lines in the coordinate plane. Individuals then take part...
Mathematics Assessment Project
College and Career Readiness Mathematics Test C1
Challenge high schoolers with a thorough math resource. The 20-page test incorporates questions from upper-level high school math in applied and higher order questions.
Curated OER
Graphs of Functions
In this graphs of functions worksheet, students identify the vertex, the x and y intercept and graph a quadratic function. This one-page worksheet contains 1 multi-step problem.
Curated OER
Graphs of Functions
For this graphs of functions worksheet, 9th graders solve and complete 3 different types of problems. First, they graph function f given by the functions shown on the grid. Then, students find the inverse of a function including its...
Curated OER
Graphing Rational Functions
In this rational function instructional activity, students identify the vertical and horizontal asymptote for each rational function. They graph rational functions. This one-page instructional activity contains five problems.
Curated OER
Transformations and Exponential Functions
Tenth graders study graphing exponential functions. In this transformations instructional activity, 10th graders apply inquiry to determine how changes to a parent function affect its graph. Students analyze transformed graphs and...
Curated OER
F(x)g(x): A Tale of Two Functions
In this graphing functions worksheet, students solve four problems where they graph given functions, find the sum related to the area under the curve and determine an integral.
Curated OER
Functions and the Vertical Line Test
Students examine functions and function notation. They use computer activities to discover how to graph functions, and conduct a vertical line test. Students describe spatial relationships using coordinate geometry.
Curated OER
Quadratic Functions
In this algebra worksheet, students graph quadratic functions and identify the vertex, axis of symmetry, maximum and minimum and intercepts. There are 7 questions.
Curated OER
Highs and Lows
Solve problems using integration and derivatives. By using calculus, learners will analyze graphs to find the extrema and change in behavior. They then will identify the end behavior using the derivatives. Activities and handouts are...
Curated OER
Graph of a Function
For this graph of a function worksheet, learners graph a function and find the value at a given point. They determine the absolute minimum and maximum of an interval. This two-page worksheet contains three problems.
Curated OER
Interactivate - Lines, Rays, Line Segments, and Planes
Students explore lines, rays, line segments, and planes. In this math lesson, students discuss the math concepts and direct their instructor in graphing functions. Students collaborate in graphing additional functions.
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.
Modesto Junior College
Graphical Transformations of Functions
Transform your knowledge from average to excellent with this comprehensive guide to function transformations. All of the types of shifts, stretches, and reflections are included with an explanation and coordinating graph to show...
Mt. San Antonio Collage
Quiz 1: Types of Functions
Sometimes the best things are already done for you! Here is a six-problem quiz that has a variety of problems ranging from solving quadratic equations to interpreting a function. The piece-de-resistance is the worked out answer key in...
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