Assessment
Illustrative Mathematics

Building a General Quadratic Function

For Students 9th - 12th Standards
Rewrite a quadratic function to easily see the transformations involved. The instructional task takes a general quadratic function and rewrites it into a form that shows the translations and scaling of the parent quadratic function. The...
Lesson Plan
Chicago Teachers Union Quest Center

Factored Form of a Quadratic Function

For Teachers 9th - 12th Standards
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...
Unit Plan
Mathematics Vision Project

Quadratic Functions

For Teachers 10th - 12th Standards
Inquiry-based learning and investigations form the basis of a deep understanding of quadratic functions in a very thorough unit plan.  Learners develop recursive and closed methods for representing real-life situations,...
Worksheet
Curated OER

The Consumption Function

For Students 11th - Higher Ed
In this Consumption Function worksheet, students plot consumption functions on a graph, answer questions about it, and show changes on various consumption schedules.
Lesson Plan
Curated OER

Using Parallel Axes To Discover Mathematical Interconnections

For Teachers 6th - 8th
In this math worksheet, students graph the functions on parallel axes and observe the location of the slope point in relation to the x and y axes.
Lesson Plan
Curated OER

Worksheet 13 - Derivative

For Teachers Higher Ed
In this derivative of a power worksheet, students compare derivatives of functions, and graph functions. This one-page worksheet contains five multi-step problems.
Interactive
Curated OER

Graphing of Functions Using First and Second Derivatives

For Students 11th - 12th
In this calculus activity, students solve problems using the first and second derivatives. They define the behavior of the function based on the derivative. There are 11 questions with an answer key.
Lesson Plan
Curated OER

Graphing Quadratic Functions

For Teachers 9th - 12th Standards
Pupils explore quadratic functions in this algebra lesson. They investigate transformation of quadratic functions using the TI calculator. They use the vertex form for this lesson.
Worksheet
Curated OER

Graphing Polynomial Functions

For Students 11th
In this algebra learning exercise, 11th graders graph polynomial functions using quadratics and other exponential functions. They identify the vertex and other properties of a parabola. There are 8 problems with an answer key.
Worksheet
Curated OER

Graphing Trig Functions

For Students 9th - 11th
In this graphing trig functions instructional activity, students find the amplitude of each function. They graph the function. This four-page instructional activity contains 12 problems. Answers are provided on the last two pages.
Lesson Plan
Curated OER

Characteristics of Exponential Functions

For Teachers 9th - 12th Standards
What can an upper grader do with an exponential function? They can solve and graph it, identify its important characteristic, and differentiate graphs based on shifts in graph bases that are greater or less than one. This 45 minute...
Lesson Plan
Curated OER

Exponential Functions f(x) = abx

For Teachers 9th - 12th Standards
Students define exponential functions and graph the equation. In this algebra lesson, students discuss exponential growth and decay as they graph their functions. They differentiate between the base of growth and decay.
Assessment
1
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Balanced Assessment

Alcohol Level

For Students 9th - 12th Standards
How long does it take alcohol to leave your system? Individuals explore this question by examining a polynomial function. They draw conclusions by analyzing the key features of the given polynomial function.
Lesson Plan
Texas Instruments

Let's Play Ball with Families of Graphs

For Teachers 9th - 12th Standards
Learners explore quadratic equations in this Algebra II instructional activity. They investigate families of quadratic functions by graphing the parent function and family members on the same graph. Additionally, they write the equation...
Lesson Plan
Curated OER

Asymptotes And Zeros of Rational Functions

For Teachers 9th - 12th Standards
Budding mathematicians graph polynomial functions and examine their zero and y-intercepts. They analyze how the zero and y-intercepts of the numerator and denominator affect the graph of a rational function. Several great additional...
Lesson Plan
Curated OER

Two Investigations of Cubic Functions

For Teachers 9th - 12th Standards
Through learning about cubic functions, students graph cubic functions on their calculator.  Students determine the local maximum and minimum points and the tangent line from the x-intercept to a point on the cubic function. ...
Worksheet
Curated OER

Cartesian Graphing

For Students 5th - 8th
In this graphing worksheet, students use the Cartesian plane (or coordinate grid) to complete graphs. This is a worksheet generator. The teacher may select the level of difficulty as well as the type of problems students are asked to...
Lesson Plan
Curated OER

Exploring Power Functions 2

For Teachers 9th - 12th Standards
Young mathematicians learn to write algebraic equations. They solve and graph different polynomial functions with different powers. They then graph radicals and identify the domain and range.
Lesson Plan
Curated OER

Zeros of a Quadratic Function

For Teachers 9th - 12th Standards
Factor quadratic equations by teaching your high schoolers how to identify the zeros of the quadratic function. They use the TI to see where the graph will intercept the coordinate plane.
Lesson Plan
Curated OER

Worksheet 3 - Velocity, Movement

For Teachers Higher Ed
In this velocity worksheet, students determine the distance traveled when an object is moving in a straight line. Students graph functions and determine the slope of the line. This two-page worksheet contains six multi-step problems.
Lesson Plan
Curated OER

Bar Graphs

For Teachers 6th - 9th
In this bar graph worksheet, students read about making quality bar graphs and they make a bar graph using given data. They answer 5 questions about their graph.
Lesson Plan
Curated OER

Lesson 10: Graphs

For Teachers 10th - 11th
Students explore graph theory.  In this geometry instructional activity,  graphs are used to solve problems in a variety of domains.  In this instructional activity the term graph refers to a collection of...
Lesson Plan
Curated OER

Function Composition

For Teachers 9th - 12th Standards
Students solve two functions at once. In this algebra lesson, students add, subtract, multiply and divide composition functions. They use the correct notation and substitution to get their answer.
Lesson Plan
Curated OER

Quadratic Functions and Stopping Distance

For Teachers 9th - 12th Standards
Students solve quadratic equations. In this algebra lesson, students factor and graph quadratic functions. they use the properties of quadratics to calculate the distance.

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