Worksheet
Curated OER

Worksheet 3.1 Functions

For Students 8th - 11th Standards
Middle and high schoolers complete and solve 12 various types of problems. First, they express the output as a function of the input in each table. Then, pupils evaluate for the given variable when the value is as stated. In addition,...
Lesson Plan
National Research Center for Career and Technical Education

Business Management and Administration: Compound Interest - A Millionaire's Best Friend

For Teachers 6th - 12th Standards
Many math concepts are covered through this resource: percentages, decimals, ratios, exponential functions, graphing, rounding, order of operations, estimation, and solving equations. Colorful worksheets and a link to a Google search for...
AP Test Prep
College Board

2016 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
Using the common errors and test taker responses, it's easy for teachers to see where to pinpoint instruction throughout the AP Calculus course. Pupils, using the released items, develop an understanding of how future exams assess the...
AP Test Prep
College Board

2015 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
How will the topics be assessed? Using the six released items from the Calculus AB test, pupils see how the exam assesses content from the course. With the additional materials covering test taker's responses and scoring keys, teachers...
AP Test Prep
College Board

2014 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
Give classes a sneak peek at an upcoming test. Scholars work released items from the AP Calculus AB test to prepare for their own exams. The resource consists of six items, two graphing calculator items, and four non-calculator items....
AP Test Prep
College Board

2012 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
What's on the test? Released items provide insight into the AP Calculus test. The six items are split into two groups, two calculator items and four non-calculator items. Resources allow teachers to see what kinds of answers test takers...
AP Test Prep
College Board

2017 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
Pupils use the six released free-response questions from an AP Calculus BC exam to prepare for their own exam. The questions cover a range of topics from the BC curriculum, with half of the items coming strictly from AB material and...
AP Test Prep
College Board

2006 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
Develop more than just a topical approach to the exam. The six free-response questions from 2006 reveal how the AP exam assesses topics. By using the questions, pupils practice topics such as velocity, sketch slope fields, solving...
Activity
Mathematics Common Core Toolbox

Golf Balls in Water

For Teachers 8th - 11th Standards
Here's a resource that models rising water levels with a linear function. The task contains three parts about the level of water in a cylinder in relationship to the number of golf balls placed in it. Class members analyze the data and...
Lesson Plan
Curated OER

Quadratic Equations and Functions

For Teachers 8th - 11th
This comprehensive lesson plan reviews solving and graphing quadratic functions and functions of higher degree.  Using the vertex form of a quadratic functions, one finds the vertex, minimum or maximum, and axis of symmetry. A few...
Activity
Illustrative Mathematics

Identifying Even and Odd Functions

For Teachers 8th - 12th Standards
Use a worksheet to give learners practice in identifying even and odd functions. The problems on this page are also appropriate for use as assessment items, or you can use them with GeoGebra to interactively present concepts. The task is...
Lesson Plan
Curated OER

Functions and Their Graphs.

For Teachers 9th - 10th
Young scholars solve equations and label it as a function or not. In this algebra lesson, students make a table of values and graph their equation. They identify the domain and range of each graph.
Lesson Plan
Curated OER

Profit of a Company

For Teachers 9th - 12th Standards
Your business executives choose which of three equivalent forms of a quadratic equation is the most useful for finding various pieces of information in this task centered on a company's profits.
Lesson Plan
Mathalicious

Domino Effect

For Teachers 8th - 9th Standards
Carryout the lesson plan to determine the cost of pizza toppings from a Domino's Pizza® website while creating a linear model. Learners look through real data—and even create their own pizza—to determine the cost of each topping....
Activity
Howard County Schools

Planning for Prom

For Teachers 9th - 11th Standards
Make the most of your prom—with math! Pupils write and use a quadratic model to determine the optimal price of prom tickets. After determining the costs associated with the event, learners use a graph to analyze the break even point(s).
Lesson Plan
Illustrative Mathematics

Buying a Car

For Teachers 8th - 12th Standards
Teenagers love to think about driving and buying their first car. The intent of this resource is to create an equation for the list price of a car and add the appropriate state tax. Once your teens understand the calculation, ask them to...
Lesson Plan
Kenan Fellows

Math Made Simple as 1-2-3: Simplified Educational Approach to Algebra

For Teachers 8th - 11th Standards
Writing an equation of a line is as easy as m and b. A lesson presentation gives individuals different strategies for writing equations of lines. Some items provide a slope and a point while others provide two points. Whatever the given,...
Lesson Plan
Curated OER

Physics: Visualization of Hydrogen Wave Functions

For Teachers Higher Ed
Pupils explore various methods for visualizing the results of hydrogen wave function. They observe trends using a polar plot tool and make plots for the first three energy levels of the radial wave function for hydrogen. Students apply...
Assessment
Noyce Foundation

Pizza Crusts

For Teachers 6th Standards
Enough stuffed crust to go around. Pupils calculate the area and perimeter of a variety of pizza shapes, including rectangular and circular. Individuals design rectangular pizzas with a given area to maximize the amount of crust and do...
Activity
Illustrative Mathematics

Interpreting the graph

For Teachers 8th - 12th Standards
The purpose of this exercise is to give practice in reading information about a function from its graph. Learners are given graphs of two functions on the same axes. The task is to locate and label various key points on the graph that...
Activity
Illustrative Mathematics

Warming and Cooling

For Teachers 8th - 11th Standards
Is it too hot to go hiking? This task asks learners to refer to a graph that shows temperature as a function of time and answer five questions about the scenario depicted by the graph. The exercise could be used for instruction to help...
Lesson Plan
Curated OER

Money in India: Comparison Shopping

For Teachers 3rd - 4th
Students are exposed to a monetary system different from their own. They learn to exchange currencies between two monetary systems. Practice the necessary mathematical functions to find comparison. Compare prices of items sold in India...
Lesson Plan
Curated OER

Measuring Pots

For Teachers 4th - 9th
Students use an activity sheet to construct analogies about possible function of ancient or historic ceramics and compute circumference from a section of a circle as they study measuring pots.
Lesson Plan
Curated OER

Making Blood!

For Teachers 5th - 7th
students research blood's components, and use their math skills to recreate a model of whole blood using commonly found food items.