Common Core Math Samples
Yours to try—free: Performance tasks that connect both the Common Core Standards for Mathematical Content and Mathematical Practice. Featuring differentiated instructional tasks and summative assessments with anchor papers, these engaging tasks let every student build their skills through solving real-world DOK 3-level problems.
The samples below are aligned to Common Core standards and include problem-solving performance tasks, teacher planning sheets, rubrics, student anchor papers, and scoring rationales. They reflect just a few of the 500+ tasks in Problem Solving for the 21st Century: Built for the Common Core.
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Students determine how many more dinosaur books are needed for a total of ten books.Instructional tasks include differentiated versions at 3 points of entry.
For any number from 1 to 9, find the number that makes 10 when added to the given number, e.g., by using objects or drawings, and record the answer with a drawing or equation.
Students determine if two boys have the same amount of apples and oranges.Instructional tasks include differentiated versions at 3 points of entry.
Understand the meaning of the equal sign, and determine if equations involving addition and subtraction are true or false. For example, which of the following equations are true and which are false? 6 = 6, 7 = 8 - 1, 5 + 2 = 2 + 5, 4 + 1 = 5 + 2.
Given a number of boxes put in a truck, students determine how many more boxes need to be put in the truck.Instructional tasks include differentiated versions at 3 points of entry.
Add up to four two-digit numbers using strategies based on place value and properties of operations.
Students determine if the boys cut the same amount of their wooden boards.Instructional tasks include differentiated versions at 3 points of entry.
Recognize and generate simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3. Explain why the fractions are equivalent, e.g., by using a visual fraction model.
Celery Sticks With Peanut Butter
Students determine how many friends Jane can make celery sticks with peanut butter for.Instructional tasks include differentiated versions at 3 points of entry.
Add and subtract mixed numbers with like denominators, e.g., by replacing each mixed number with an equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction.
Buying Plastic Plates
Students determine which of two stores is offering the better buy on plastic plates.Instructional tasks include differentiated versions at 3 points of entry.
Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.
How Big is the Property?
Students find the area of a piece of farmland based on a grid and coordinate points and use that information to determine how much property tax the owner should be paying.Instructional tasks include differentiated versions at 3 points of entry.
Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems.
Students predict which of three dragons will return to the finish line first in the 79th Annual Dragon Race.Instructional tasks include differentiated versions at 3 points of entry.
Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the rate as the complex fraction 1/2 /1/4 miles per hour, equivalently 2 miles per hour with 2 being the unit rate.
Students determine the distance traveled by two sharks and how fast a boat of marine biologists must travel to catch up with them again.Summative assessments include student anchor papers and scoring rationales.
Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.