Illustrative Mathematics
Comparing Numbers
Young mathematicians spin their way to a deeper number sense with this fun, collaborative activity. Using two spinners, one with the numbers 0-9 and the other with the decades 00-90, pairs of students take turns building and comparing...
Illustrative Mathematics
Comparing Sums of Unit Fractions
First, add each set of fractions with unlike denominators. Then, compare their sums with the symbols <, >, or =.
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...
Fluence Learning
Writing About Literary Text: Pygmalion and Galatea
Is it crazy to fall in love with your own work, or is that the purest love of all? Compare two renditions of the classic Greek myth Pygmalion and Galatea with a literary analysis exercise. After students compare the similarities and...
Illustrative Mathematics
Equality Number Sentences
Understanding the concept of equality is fundamental to the success of young mathematicians. To explore this basic idea, children compare the dots arranged in pairs of rectangles in order to determine whether or not they contain an equal...
Fluence Learning
Writing About Informational Text: Music and the Brain
Even if you've never picked up a musical instrument, chances are that music has directly impacted your mental and emotional development. Sixth graders engage in a reading activity in which they read two articles on the impact of music on...
Curated OER
Building a Quadratic Function Form
Comparing the movement of graphs geometrically when small changes are made to the parent function motivates this collaborative discussion on the transformations of functions to their various forms. Vertical and horizontal shifts due to...
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...
Illustrative Mathematics
Who Has the Best Job?
Making money is important to teenagers. It is up to your apprentices to determine how much two wage earners make with their after school jobs. Participants work with a table, an equation, and a graph and compare the two workers to see...
Curated OER
Exponential Growth Versus Linear Growth I
Your algebra learners will discover how quickly an exponential function value grows compared to a linear function's value. Making a table of values helps in this comparison, set in the context of making a wage for raking leaves.
Illustrative Mathematics
Ordering Numbers
Deepen the number sense of young mathematicians with this unique ordering exercise. Given a list of the numbers 1, 5, 10, 50, and 100, young learners must determine where the numbers from a second list fit in the sequence. To increase...
Balanced Assessment
Garages and Phones
Examine and compare a linear and step function. The task provides two scenarios, one modeled by a linear function and the other a step function. Pupils create a graph for each and explain how each compares to the other.
Curated OER
In the Billions and Exponential Modeling
Modeling population growth gives learners an opportunity to experiment with real data. Comparing the growth rates in this real-life task strengthens learners' understanding that exponential functions change by equal factors over equal...
Curated OER
Interesting Interest Rates
Your young bankers compare earning interest accumulated yearly and monthly to decide which method most increases their balance. Using an exponential function to model the bank balance affords the learners more practice connecting...
Curated OER
Exponential Growth versus Polynomial Growth
Your algebra learners explore the values of two types of functions in order to compare growth rates in this short cooperative task. Two types of solutions are given, using a table of values and an abstract argument.
Curated OER
Hot Under The Collar
Pupils try to get a collar on temperature with a short assessment item that asks them to compare two different methods in converting Celsius to Fahrenheit. Individuals try to find out when an estimation provides conversions that are...
College Board
2003 AP® Calculus BC Free-Response Questions
There are shaded areas, particles, polar equations, oh my! Teachers use the materials to see how their pupils compare to the AP® Calculus BC exam expectations. Scholars use the released items to practice on several BC topics and become...
College Board
1999 AP® Microeconomics Free-Response Questions
Imports often affect the production of domestic goods. Scholars consider the variables in this situation with a scaffolded prompt from College Board. Other items examine factors in production and compare the production advantage between...
Curated OER
Music and Sports
With so much talent in the classroom, do your musicians and athletes have related interests? This problem has your learners taking data from their classmates to decide whether there is an association between the two activities. The...
Fluence Learning
Writing an Opinion: Buddies that Bark or Purr-fect Pets?
Which animal is best for you—a dog or cat? Why? Engage third graders in an opinion writing assessment that prompts them to read facts about both pets, and then write and decide which pet is best for them.
Carolina K-12
Practice Test of Economics
From scarcity and supply and demand to entrepreneurship and the stock market, here you'll find a multiple-choice assessment that includes 34 questions covering all the major concepts of a traditional economics course.
College Board
2013 AP® English Language and Composition Free-Response Questions
In 2011, the Martin Luther King, Jr. Memorial opened in Washington, DC to much praise and some criticism. Part of a series of response questions from the AP® English Language and Composition exam, writers consider what factors...
College Board
2010 AP® English Language and Composition Free-Response Questions
Humorists do more than tell jokes; they also impart key messages about society. A series of free-response topics from the AP® English Language and Composition exam cover three topics, including one discussing the role of humorists....
Concord Consortium
Three Rubber Bands
Stretch your mind about triangles. Given a triangle, scholars consider a smaller triangle formed when they stretch three rubber bands from each vertex to the opposite side. They determine the ratios of the areas and perimeters of the...