Exploratorium
Traveling Networks
Show your class the path to understanding graph theory. Scholars learn about basic graph theory using an activity based on the Bridges of Konigberg problem. They draw networks on the playground and decide whether it is possible to travel...
Exploratorium
Handy Measuring Ratio
Your hand can be a handy tool for measurement. Young mathematicians learn how to estimate the height of objects by applying similarity. They find the horizontal distance from the object where spreading their outstretched fingers results...
Achieve
Medication Dosage
Here's the cure to boredom. Given a patient file, including medication dosage information, scholars determine the amount of medication left in the patient's bloodstream over time. They analyze the sequence of numbers and determine a...
Mathematics Assessment Project
Generating Polynomials from Patterns
Patterns and polynomials go hand in hand. Budding mathematicians analyze sequences of dot diagrams to discover the patterns in the number of white dots and black dots. They use the identified patterns to write and simplify a polynomial...
New York City Department of Education
Designing Euclid’s Playground
Create a geometric playground. Pupils work through a performance task to demonstrate their ability to use geometric concepts to solve everyday problems. The accompanying engineering design lessons show teachers how the assessment works...
McGraw Hill
Lesson 12: Absolute Mean Deviation
Learn a different way to determine variability. An informative lesson provides directions on how to calculate the mean absolute deviation of a data set. Pupils use examples to learn the process and then practice finding the mean absolute...
CK-12 Foundation
Repeating Decimals: Does 1 equal 0.999... ?
Six questions make up a challenging interactive that tests scholars' knowledge of repeating decimals. Mathematicians answer true or false and multiple-choice questions with help from a tool that highlights decimal movement in an...
CK-12 Foundation
Whole Number Exponents: Building Blocks
Five questions make up an interactive all about whole-number exponents. Movable building blocks create a visual tool to aide mathematicians in answering multiple-choice and true or false problems. The interactive ends with a discussion...
CK-12 Foundation
Scientific Notation Values
Scientific notation is the focus of a five-question interactive. A model with movable points offers a visual reference to help solve true or false, multiple-choice, and fill in the blank questions. A discussion question challenges...
CK-12 Foundation
Numbers with Decimal Place Value: Battleship Decimals
Decimal place value is the topic of a Battleship themed-interactive. Scholars answer five questions—multiple-choice and true or false—while referencing a grid that acts as the board game. The practice concludes with a discussion question.
CK-12 Foundation
Decimals as Mixed Numbers
A five-question interactive boosts scholars' knowledge of decimals and mixed numbers. Moveable base 10 blocks assist mathematicians in answering a series of multiple-choice and true or false questions. A discussion concludes the practice.
PHET
Equality Explorer: Two Variables
Solving equations in two variables can't be that much harder than solving equations in one variable. Using a balance interactive, scholars solve equations in two variables. They apply inverse operations by adding -x, -y, or -1 as...
PHET
Equality Explorer
Find the right balance between concrete and abstract thinking. After using interactive balances to explore inverse operations, learners solve multi-step equations with variables on both sides. Of course, they can still use the...
PHET
Equality Explorer: Basics
Not all interactives are made equal. Scholars use an interactive balance to explore the concept of equality. They place different objects on balances to determine the number of each object needed to balance the scale.
PHET
Area Model Algebra
Expand the pupils knowledge of using area models to algebra. The interactive allows learners to use the same procedure of getting partial products when multiplying multi-digit numbers to multiplying polynomials. Scholars see how the...
College Board
2011 AP® Calculus BC Free-Response Questions Form B
Take a second look. Form B of the AP® Calculus BC free-response questions allow pupils and teachers to see another set of items. The six questions expand the set of items from the 2011 free-response questions. Form B items include a...
College Board
2010 AP® Calculus BC Free-Response Questions Form B
Keep moving along a curve. Two items in the set of released free-response questions from the 2010 AP® Calculus BC exam involve movement along a graph. One involves particle motion along a polar curve while the other uses a squirrel...
College Board
2009 AP® Calculus BC Free-Response Questions Form B
Let them eat cake. The free-response questions from an AP® Calculus BC exam cover several topics that include finding the area under a curve within the context of creating a birthday cake. Calculus concepts include finding rates of...
College Board
2008 AP® Calculus BC Free-Response Questions Form B
This is integral to the test. Pupils realize that every question in the released free-response items from the 2008 AP® Calculus exam Form B requires integration. By reviewing the additional resources, scholars learn how important it is...
College Board
2007 AP® Calculus BC Free-Response Questions Form B
There is just a single real-world problem. Released free-response items from the 2007 AP® Calculus BC Form B contains only one real-world question. The question involves rate of change of wind chill scenario. The mathematical problems...
College Board
2006 AP® Calculus BC Free-Response Questions Form B
Go a little deeper. Learners use the released 2006 AP® Calculus BC free-response questions to review for the BC test, which covers content from Calculus AB and Calculus BC. Topics include volumes of revolution, particle motion,...
College Board
2005 AP® Calculus BC Free-Response Questions Form B
Let's put it in context. Pupils use the AP® Calculus BC free-response questions to practice for the exam. Five of the six released items deal with mathematical problems, with one using a real-world situation. Learners use differentiation...
College Board
2004 AP® Calculus BC Free-Response Questions Form B
Take another look at the exam. A set of questions is a different form for the 2004 AP® Calculus BC free-response question section. The questions are evenly split into calculator and non-calculator sections. Pupils use their knowledge of...
College Board
2003 AP® Calculus BC Free-Response Questions Form B
Be integral to the learners in the classroom. Pupils use integrals, differentiation, and limits to solve the free-response questions from an AP® Calculus BC exam. Items cover topics such as area under a curve, particle motion, average...