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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
Getting the Job Done—Speed, Work, and Measurement Units II
How fast is your class? Learners determine the amount of time it takes individuals to walk a given distance and calculate their speeds. Pupils solve distance, rate, and time problems using the formula and pay attention to the...
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...
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...
Curated OER
Physics 152 ~ Fall 2003 Midterm Exam #3, Parts A, B
Illuminated physics stars show what they know about light by taking this exam. They match several related vocabulary terms to descriptions and answer multiple choice questions about the characteristics of light, magnification, and...
College Board
2011 AP® Calculus AB Free-Response Questions
So this is the real test? The resource provides the free-response questions from the 2011 AP Calculus AB exam. The six questions are split into two sections, calculator and non-calculator items. Several resources give teachers...
EngageNY
Getting the Job Done—Speed, Work, and Measurement Units
How do you convert from one measurement to another? Pupils use unit rates to convert measurements from one unit to another in the 21st segment in a 29-part series. They convert within the same system to solve length, capacity,...
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...
EngageNY
End-of-Module Assessment Task: Grade 8 Module 4
Connect proportional linear equations and systems. The seven-question assessment is the last installment in a 33-part series. The items cover comparing proportional relationships, slope concepts, and simultaneous linear...
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...
Mathematics Assessment Project
Middle School Mathematics Test 5
A middle school test contains two 40-minute sections covering material through algebra. All questions involve applied problem solving or mathematical analysis.
Balanced Assessment
Para-Ball-A
Analyze the flight of a thrown ball. Learners determine the maximum height of a thrown ball and the time it takes to hit the ground given its initial speed. They continue to review different scenarios with different maximums or...
Illustrative Mathematics
The Escalator, Assessment Variation
A great way to practice with unit rates, the activity gives your mathematicians an opportunity to compare different statements and select which are true. They can practice with "choose all that apply" by setting each statement into its...
EngageNY
Ratios of Fractions and Their Unit Rates 2
Remodeling projects require more than just a good design — they involve complex fractions, too. To determine whether a tiling project will fit within a given budget pupils calculate the square footage to determine the number of...
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!
Curated OER
Physics Final Exam
A two-hour final exam covers a range of physics topics related to electricity and magnetism. It employs a variety of methodologies for assessing your physics learners' understanding and mastery of these concepts. You will need to review...
Illustrative Mathematics
Friends Meeting on Bicycles
It's a great day for a bike ride, but how long will it take? Your learners will have to calculate multiple variables in the problem using scaffolded questioning. Different answer choices are given, but you will need to create the table...
Curated OER
How Fast is Usain Bolt?
Revisit the 2012 Summer Olympics by having seventh graders calculate the unit rate sprinting speed of the 100-meter gold medal winner.
Curated OER
Bird and Dog Race
Your pupil's pet dog and bird are racing down the city streets. In order to know who is going to win, they better know something about calculating rates, the Pythagorean Theorem, and applying those topics to the map of the city.
EngageNY
End-of-Module Assessment Task: Grade 8 Module 6
Test your knowledge of linear functions and models. The last installment of a 16-part module is an end-of-module assessment task. Pupils solve multi-part problems on bivariate data based on real-world situations to review concepts from...
Illustrative Mathematics
Ice Cream Van
In an open-ended problem, learners calculate costs involved in driving an ice cream van. Is it better to park in one place or drive through different neighborhoods? Learners look at these and other factors and must make reasonable...
Noyce Foundation
Truffles
Knowing how to scale a recipe is an important skill. Young mathematicians determine the amount of ingredients they need to make a certain number of truffles when given a recipe. They determine a relationship between ingredients given a...
Inside Mathematics
Squares and Circles
It's all about lines when going around. Pupils graph the relationship between the length of a side of a square and its perimeter. Class members explain the origin in context of the side length and perimeter. They compare the graph to the...
Curated OER
Fall 2003 Midterm Exam #2
Your physics students will really shine when they take this midterm exam. It covers a variety of concepts dealing with electromagnetic spectra, electricity, and motors and it provides a variety of question styles.