College Board
2004 AP® Calculus BC Free-Response Questions
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...
101 Questions
Print Job
A watched printer never finishes—or does it? Engage your classes in a ratio and proportion task that asks them to predict how long it takes to print the numbers one through 88 on 88 sheets of paper. They use video to determine the rate...
101 Questions
Gas Light
You don't want to leave any learners stranded! Explore ratios using an analysis of gas mileage and distance. Given a scenario, individuals must determine if a car has enough gas to make it to the next gas stop.
101 Questions
Shipping Routes
The product of the hard work is learning. Scholars use a simulation tool to collect information to analyze. They must decide when two ships traveling back and forth across a river at different rates will meet on the same side. The intent...
101 Questions
Stealing Bases
And he's ... safe? ... out? It's up to your scholars to decide! Provided with the speed of the runner and ball, learners develop a plan to determine which reaches the base first, the ball or the runner. While the distance from home to...
101 Questions
Leaky Faucet
A dripping faucet may be enough to drive you crazy, but it also teaches you a little about ratios. Presented with the volume of a sink and the rate the water is dripping, scholars must devise a plant to determine how long it will take...
EngageNY
From Rates to Ratios
Look at rates from a general perspective. The 17th part of a 29-part series provides problems that help pupils develop more general ratios from given rates. Scholars determine unit rates and ratios that are associated with given rates....
EngageNY
Problem Solving Using Rates, Unit Rates, and Conversions
Find a way to work with rates. The 23rd part in a 29-part series presents work problems for the class to solve given work rates. Pupils compare rates to determine which is faster. Some problems require learners to convert the rates to...
EngageNY
Comparison Shopping—Unit Price and Related Measurement Conversions II
Which rate is greater and by how much? Pupils continue to compare rates to solve problems in the 20th portion of a 29-part series. Rates are presented in a variety of representations either using the same representation or different...
EngageNY
Finding a Rate by Dividing Two Quantities
Develop the right station to solve rate word problems. The 18th lesson in a series of 29 starts by interpreting the aspects of rates with two different quantities. Pupils use the interpretation of rates to solve problems, and groups work...
Worksheet Web
Learning About Rate
After reading a one-page passage on how to understand and solve distance/rate problems, young mathematicians answer six word problems that have them correctly set up the formula in order to solve for the distnace, rate, or time in the...
Scholastic
Study Jams! Proportions
Join Zoe and Sam as they use proportions to budget money for their Green Earth Club. Watch as they set up and solve a series of proportions using cross multiplication and division. A great resource that brings together prior knowledge of...
Scholastic
Study Jams! Rate
Zoe is reading books over vacation and wants to know at her current rate, how many will she finish by the end. Building on prior knowledge of fractions and ratios, young mathematicians learn how equivalent rates are used to answer her...
Curated OER
Hybrid Vehicles: Cut Pollution and Save Money
Math and science meet in this lesson on hybrid electric automobiles. This 24-page resource provides everything you need for teaching a lesson that compares the use of internal combustion engines to hybrid electric engines. Participants...
Curated OER
Motion Basics
Quiz those kids to assess what they've gleaned from your last lesson on Newton's laws of motion. There are 10 questions that have learners define force, acceleration, velocity, and speed. A bonus question has them write a motion story...
Curated OER
Worksheet 15 - Differentiation
In this differentiation worksheet, students determine the seconds of motion, identify the constant, and speed of movement. This two-page worksheet contains five multi-step problems.
Curated OER
Shots, Standings, and Shopping
Rates and ratios can easily be applied to real-world situations. Learners explore a series of websites in order to procure comparable data. They define ratios and rates, view videos, and use the internet to explore how ratios and rates...
Curated OER
Ratio and Proportion: Basic Operations and Applications
Learners explore example problems dealing with ratios and proportions. Afterward, they read story problems and solve them using ratios and proportions. This four-page worksheet contains six multi-step problems.
Curated OER
Horatio's Ratios
View a PBS video entitled Horatio's Drive and explore Horatio's Ratios. Collaborative learners form groups to use Mapquest to determine distances covered. They generate the mathematical averages, ratios, and rates in order to calculate...
Curated OER
Calculate Rates Using Appropriate Units
In this Algebra I/Algebra II instructional activity, students solve verbal problems in which they calculate the indicated rate and choose the appropriate unit of measurement. The three page instructional activity contains a...
Curated OER
Calculating Rates
In this Algebra I/Algebra II worksheet, students determine the rate or time using the appropriate units. The one page worksheet contains a combination of six multiple choice and free response questions. Answers...
Curated OER
Ease on Down the Road
In this math quantities worksheet, students utilize a variety of strategies to strengthen their concepts between two quantities while experiencing family road trips. Students calculate miles per hour, cost of gasoline per gallon,...
Curated OER
Total Cost and Unit Cost
In this unit rate worksheet, students solve 6 problems in which the unit rate in a consumer math story problem is calculated. There are no examples or instructions.
Curated OER
Ratios, Rates and Percentages
In this ratios, rates and percentages worksheet, 6th graders solve 16 different types of problems that include writing each ratio as a decimal and a fraction in lowest terms as a percent. They also arrange numbers in ascending order and...