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AP Test Prep
College Board

2009 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
Dive into the exam review. Pupils use questions, including one about diving into a pool, to prepare for the AP® Calculus BC exam. Items include contextual and non-contextual questions with contextual examples requiring a calculator....
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AP Test Prep
College Board

2007 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
Provide a review for the exam so individuals don't tank. AP® provides the free-response questions for teachers to use to help their pupils prepare for the exam. The six BC questions from 2007 include regions bounded by functions, water...
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AP Test Prep
College Board

2009 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
What was one of the big takeaways from 2009? By reviewing the released AP® Calculus free-response questions, pupils and teachers realize that performing mathematics is not all there is to doing well on the exam. Several items require...
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AP Test Prep
College Board

2007 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
Grow your knowledge of Calculus AB. Items released from the 2007 AP® Calculus AB exam provide information to teachers about the importance of particular topics. Pupils use the questions to gain an understanding of ways the exam assesses...
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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...
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Unit Plan
EngageNY

Ratios and Unit Rates

For Teachers 6th Standards
This turn-key unit on ratios and unit rates walks through a 30-lesson unit on teaching proportional reasoning, with each lesson broken into detailed teaching notes and time allotments for all parts. An unbelievable resource when taken...
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Lesson Plan
Curated OER

How Fast is Usain Bolt?

For Teachers 6th - 8th Standards
Revisit the 2012 Summer Olympics by having seventh graders calculate the unit rate sprinting speed of the 100-meter gold medal winner. 
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Assessment
Curated OER

2000 U.S. National Chemistry Olympiad Part II

For Students 9th - 12th
In this chemistry olympiad problem solving instructional activity, chemistry pupils solve eight problems on a variety of topics including periodic trends, phase changes, ionization reactions, catalysts and titrations.
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Lesson Plan
Curated OER

Intercepting Villans Using the Correct Rate

For Teachers 4th - 8th
A Cyberchase video introduces the distance = rate x time equation. Participants then calculate answers to proposed problems and graph a series of results that is then incorporated into a game to help cement the concept. A thorough and...
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Workbook
Utah Education Network (UEN)

Ratio Relations

For Students 6th Standards
At this rate, the class will be experts on ratios and rates in no time. A class workbook teaches individuals about ratio language, using tables and tape diagrams to find equivalent ratios, and solving ratio problems. They then discover...
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Activity
Gfletchy

The Clapper

For Students 6th Standards
Give a round of applause for completing the task. Scholars watch a video that shows an extremely fast clapper and a timer. The activity requires applying concepts of rates and proportional reasoning to estimate the number of claps in one...
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Activity
Gfletchy

Rope Jumper

For Students 6th Standards
Jump at the chance to use the idea of rates. Young mathematicians watch part of a clip of a Japanese TV show where a contestant jumps rope as fast as possible. They use the data for the number of jumps and the number of seconds shown in...
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Activity
Gfletchy

Thumbs on Fire

For Students 7th Standards
How fast are those thumbs? Pupils view a short video showing a person typing out a text message in a speed challenge. They use the information they can glean from the video to estimate the number of seconds it will take to completely...
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Activity
Under the Dome

The Fastest

For Students 7th Standards
The cheetah is faster than Bolt. Class members watch a video of a cheetah and Usain Bolt run at record breaking speeds. The pupils come up with questions about the video. When asked, the teacher provides information relative to the...
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Performance
Radford University

How Do Facebook Likes Accrue Likes?

For Teachers 9th - 12th Standards
Finally, a project pupils will instantly like! Young mathematicians collect data on the number of likes they receive for a social media post over time. During the first part of the project, they determine a curve of best fit and...
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Performance
Radford University

A Day at the Beach!

For Teachers 9th - 12th Standards
Make math class feel like a day at the beach (minus all the sunburns, of course). Given information about a pail, a soup can, and a plastic pyramid mold, pupils calculate the volume of sand that can fit in each. They then design sand...
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eBook
CK-12 Foundation

CK-12 Middle School Math Concepts - Grade 6

For Students 6th Standards
Twelve chapters cover a multitude of math concepts found in the Common Core standards for sixth grade. Each title provides a brief explanation of what you will find inside the chapter—concepts from which you can click on and learn more...
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Interactive
CK-12 Foundation

Comparison of Unit Rates: Drive Away

For Students 6th - 8th Standards
Five questions make up an interactive that challenges mathematicians to compare unit rates. Word problems question scholars about two friends going on a road trip. Scholars manipulate two cars on a coordinate plane to help solve word...
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Interactive
CK-12 Foundation

Prices Involving Sales Tax: Proper Tipping

For Students 6th - 8th Standards
A five-question interactive challenges mathematicians to find a correct tip and total amount using percents five, 12, and 18. A tool with moveable pieces assists participants in locating answers. Types of questions include...
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Assessment
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CCSS Math Activities

Smarter Balanced Sample Items: 6th Grade Math – Claim 3

For Students 6th Standards
Communication is key. Eight sample items show how important communication and reasoning is for sixth grade mathematics. Part of the Claim 2-4 slide show series, the presentation uses concepts from fifth and sixth grade to illicit...
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AP Test Prep
College Board

2004 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
Given a set of questions, pupils realize the way the Calculus BC free-response exam asks questions. The items include both contextual and non-contextual questions. Both types are split into the calculator and non-calculator sections for...
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Assessment
Mathed Up!

Functional Maths Questions

For Students 7th - 11th Standards
Dang, it's a word problem! Pupils address a variety of word problems that involve knowledge of proportions and geometric topics. The General Certificate of Secondary Education review problems require determining costs based on area...
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Handout
PBS

The Lowdown — Living Wages in CA: Ratio and Rate in the Real World

For Students 5th - 7th Standards
How much money is enough money? Future wage earners explore the minimum hourly wage and then use it to calculate monthly and yearly earnings. They use an interactive to consider living costs and determine whether earning a minimum wage...
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Assessment
Concord Consortium

Flying High

For Students 7th - 12th
Some planes are just more efficient than others. Young mathematicians use data on the number of seats, airborne speed, flight length, fuel consumption, and operating cost for airplanes to analyze their efficiency. They select and use...