Curated OER
Application of Function Composition
Young mathematicians solve composition of functions. They add, subtract, multiply and divide functions and then identify the domain and range of each function. An embedded animation shows three different applications of function...
Curated OER
Function or Not a Function
Graphing linear equations on the TI is easy! Through examination of graphs and identification if it is a function or not, this lesson can relate to the real world.
Curated OER
Multiplicity of Zeros of Functions
Pupils identify the multiplicity of exponents as they graph polynomials. They write equations for a function given the zeros of the function and work backwards from solving equations.
Curated OER
The Great Spoon Challenge: Form and Function
Students organize objects in terms of form and function. In this architecture lesson, students are introduced to the ideas of form and function by playing a game in which they organize spoons in different ways. Extension activities are...
Curated OER
Functions and Inverses
Students solve problems identifying the functions and inverses. In this algebra lesson, students identify a one-to-one function, and perform the horizontal line test. They analyze data and graph their results on a graph.
Curated OER
Graphic Designing with Transformed Functions
Teach your class how to transform a graph! By identifying the domain and range of the functions, students can observe the parabola and find the vertex of the transformed graph.
Curated OER
Exploring Power Functions 1
Learners describe the end behavior of polynomial functions. Pupils relate the behavior of the graph to the exponent of the graph. They differentiate graphs with odd-exponent and graphs with even exponents.
Texas Instruments
Continuity and Differentiability 1
Pupils examine graphs for continuity and differentiability in this calculus lesson plan. They observe piecewise functions to see where continuity and differentiability come into play. Learners finish by graphing their equation on the TI...
Curated OER
Exploring Structure and Function in Biological Systems
Students examine different levels of organization in biological systems for structure and function relationships. In this biological systems lesson, students use Internet resources to look at structure and function in the eye, the...
Mt. San Antonio Collage
Graphing Trigonometric Functions
Double win with a comprehensive worksheet and an excellent worked out answer key. The worksheet itself is twelve pages and begins with the simple sine and cosine graphs, then, develops into the reciprocal trig functions.
Mt. San Antonio Collage
Quadratic Functions and Their Graphs
Starting with the basics, learners discover the features of a parabola and the ways to accurately graph it. After pupils practice with graphing, the end of the worksheet focuses on application type problems.
Mt. San Antonio Collage
Synthetic Division and Zeros of Polynomial Functions
More than just a worksheet, this guide provides the description of many of the polynomials theorems to assist the learners. Starting with synthetic division, class members are then guided through the remainder theorem and linear...
Del Mar College
All About Lines
This resource should be called "All About Lines, and Then Some!". Packed full of all the key components of linear functions, learners review how to set up different equations, find intercepts, and graph. All the main topics are included...
Agile Mind
Transforming Graphs of Quadratic Functions
In the activity on this webpage, learners use interactive graphing technology to investigate transformations of graphs. In the first part of the task, they look at the graph of a quadratic function with coordinates of a few points...
Curated OER
Parabolas and Inverse Functions
Your Algebra learners will explore what equations are functions or not functions and how to alter the domain to produce a possibility for the relations being a function with a limitted domain.
Curated OER
Using Function Notation II
Learners write an example to show a function statement true and another to show it false in this short task that addresses some common student misconceptions.
Mathematics Vision Project
Module 4: Linear and Exponential Functions
Sequences and series are traditionally thought of as topics for the pre-calculus or calculus class, when learners are figuring out how to develop limits. But this unit uses patterns and slopes of linear functions in unique ways...
Illustrative Mathematics
Building an Explicit Quadratic Function by Composition
Use an activity to illustrate the different forms of a quadratic function. Here, the task asks learners to use composition of given functions to build an explicit function. The process emphasizes the impact of the order of...
Curated OER
Building a General Quadratic Function
Learners rewrite a general quadratic function by completing the square to see a new form of the function that more easily identifies the x-coordinate of the vertex and the two roots of the function.
Illustrative Mathematics
Transforming the graph of a function
This activity guides learners through an exploration of common transformations of the graph of a function. Given the graph of a function f(x), students generate the graphs of f(x + c), f(x) + c, and cf(x) for...
Illustrative Mathematics
The Parking Lot
Use the real-world cost of parking a car to demonstrate the properties of a function. The resource describes to learners how much it is to park in a certain lot. It is up to your number crunchers to complete a table of minutes...
Curated OER
Two Points Determine an Exponential Function I
Learners construct an exponential function from a graph, and two given points on the graph, as they analyze what makes up an exponential function.
Curated OER
Do Two Points Always Determine an Exponential Function?
Algebra learners explore, analyze and build an exponential equation given its form and a specific point that exists on the function in this task. The last question asks learners to apply their ideas to an exponential equation given two...
Curated OER
Logarithmic Functions
Learners explore the characteristics of logarithmic functions and their relationship to exponential functions. Using the subscriber website Explorelearning.com, pupils observe changes in the input variable and its effect on the graph of...
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