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CCSS Math Activities
Smarter Balanced Sample Items: 6th Grade Math – Target E
When US citizens travel throughout the world, they often need to know how to convert temperatures from Fahrenheit to Celsius. Young mathematicians practice applying the formula as well as other algebraic equations as part of a...
CCSS Math Activities
Smarter Balanced Sample Items: High School Math – Target C
Let units pave the way to success. A set of five questions in a helpful PowerPoint presentation highlights the SBAC Claim 1 Target C high school item specifications. It covers the use of units to steer solutions, identifying appropriate...
EngageNY
A Critical Look at Proportional Relationships
Use proportions to determine the travel distance in a given amount of time. The 10th installment in a series of 33 uses tables and descriptions to determine a person's constant speed. Using the constant speed, pupils write a linear...
EngageNY
Interpreting Division of a Whole Number by a Fraction—Visual Models
Connect division with multiplication through the use of models. Groups solve problems involving the division of a whole number by a fraction using models. The groups share their methods along with the corresponding division and...
CCSS Math Activities
Smarter Balanced Sample Items: 7th Grade Math – Claim 2
To solve or not to solve that is the problem. A slide presentation of 17 items show different ways that Smarter Balanced assesses Claim 2, problem solving. The items span from sixth and seventh grade concepts to highlight the...
CCSS Math Activities
Smarter Balanced Sample Items: 6th Grade Math – Claim 4
Develop a model for prep. The resource provides examples of how items reflect modeling and data analysis for Smarter Balanced assessments. Items use on-grade or below-grade content to focus on the modeling aspect. The questions revolve...
Noyce Foundation
Granny’s Balloon Trip
Take flight with a fun activity focused on graphing data on a coordinate plane. As learners study the data for Granny's hot-air balloon trip, including the time of day and the distance of the balloon from the ground, they practice...
Illustrative Mathematics
Distance to School
A single problem requires learners to write two expressions representing the total distance between a student's home and school over a time span of four weeks. A thorough commentary follows that will help you explore the solutions with...
Mathematics Assessment Project
Journey
Drive home math concepts with an engaging task. Learners follow a verbal description to fill in a table and create a distance-time graph representing a car journey. They then answer questions by interpreting the graph.
Illustrative Mathematics
Satellite
Learners practice relating rules of trigonometry and properties of circles. With a few simplifying assumptions such as a perfectly round earth, young mathematicians calculate the lengths of various paths between satellite and...
Mathematics Assessment Project
Historic Bicycle
"Ordinary" bicycles are not so ordinary. Learners use given information to determine the circumference of wheels for a historic Ordinary or Penny Farthing bicycle. Pupils then determine the number of times each wheel turns when the...
Balanced Assessment
Don't Fence Me In
Investigate the complexities of design problems using geometric concepts. The task asks scholars to design a fence for a horse based on the distance it can travel within one hour. It is a seemingly simple task — until individuals learn...
Illustrative Mathematics
Gotham City Taxis
Taxi! Have your travelers figure out how far they can go in a taxi for $10.00. They must account for the mileage rate and tip in their calculation. They can set up a table or make an equation to solve for the exact mileage they can...
Curated OER
Taxi!
Your young taxi drivers evaluate and articulate the reasoning behind statements in a conceptual task involving linear data. The given data table of distances traveled and the resulting fare in dollars is used by learners to explore...
Bowland
Hilbre Island
Young travelers plan a trip to Hilbre Island based on constraints on tides and time. They use a timeline to help determine the optimal day/time to make the trip.
Noyce Foundation
Snail Pace
Slow and steady wins the race? In the assessment task, scholars calculate the rates at which different snails travel in order to find the fastest snail. Hopefully, your class will move much more quickly in finishing the task!
Mathed Up!
Distance Time Graphs
If only there was a graph to show the distance traveled over a period of time. Given distance-time graphs, pupils read them to determine the answers to questions. Using the distance and time on a straight line, scholars calculate the...
Balanced Assessment
A Run for Two
Develop a graph to represent the distance between two cars. The assessment task presents a scenario in which two cars are traveling at constant speeds with one faster than the other. Pupils develop graphical representations to show the...
Concord Consortium
Parameters and Clusters I
Chase the traveling solution. Pupils analyze the solutions to a system of linear equations as the parameter in one equation changes. Scholars then use graphs to illustrate their analyses.
College Board
2002 AP® Calculus AB Free-Response Questions Form B
Become better at the test concepts. An educational resource presents six free-response questions from the AP® Calculus AB exam. Pupils use the items to practice the content, which contains concepts ranging from particle motion to ships...
College Board
2011 AP® Calculus AB Free-Response Questions Form B
Half are real-world. The 2011 AP® Calculus AB free-response questions let pupils and teachers see how content appears on the exam. Half of the questions contain real-world context, and four items do not allow calculators. Real-world...
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...
Concord Consortium
All-in-All Problems
Graphs, functions, symbols, and more! Use these strategies to model everything from the flow of a river to the number of cars passing a toll booth. Presented differently but solved similarly, learners consider five different scenarios...
Illustrative Mathematics
Downhill
A car traveling down a steep hill is the model for this resource. The confusion comes when the elevation, E, is given in terms of distance, d. The distance, d, is the horizontal distance from E. Therefore, the equation, E = 7500 – 250d,...
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