Illustrative Mathematics
Looking at Numbers Every Which Way
Assess class members' ability to look at numbers every which way. A helpful worksheet contain four tasks, including writing numbers as a sum of 100's, 10's, and 1's, and drawing a picture to represent the number.
Curated OER
Making a Ten
An addition table supports third graders as they learn strategies to improve their math fluency. When finding sums greater than ten, students are taught how to first make a ten and then add on the rest. A similar method is also...
Concord Consortium
The Trouble with Tables
Tackle these tables. A performance task has learners complete two puzzles using addition and subtraction. They must fill in tables with missing addends, sums, minuends, subtrahends, or differences.
Illustrative Mathematics
Rational or Irrational?
Is 4 plus the square root of 2 rational or irrational? After your class has gained a basic grasp of rational and irrational numbers, use this worksheet to push them a little further in their understanding. Learners must identify sums and...
Curated OER
Why Does ASA Work?
Your geometry learners explore Angle-Side-Angle congruence in this collaborative task. The sum of the interior angles of all triangles being one hundred eighty degrees, is the key learners will discover as they explain their reasoning...
EngageNY
The Volume Formula of a Sphere
What is the relationship between a hemisphere, a cone, and a cylinder? Using Cavalieri's Principle, the class determines that the sum of the volume of a hemisphere and a cone with the same radius and height equals the volume of a...
California Education Partners
John's Trip Disneyland
It all adds up to one. Pupils solve several items that involve finding sums of fractions in relationship to a whole. The assessment task uses fractions with unlike denominators to determine the amount of a tank of gas and the amount of...
Mathed Up!
Surface Area
Surface area is the sum of the parts. Given the measurements of different prisms, pupils determine their surface areas. Individuals find the area of each surface and figure out the surface area by finding the sum. The video, part of a...
Curated OER
Comparing a Number and a Product
Mental math strategies are important for fifth graders to be able to determine the greater sum without actually solving the equations. As a summative assessment, this eight-problem worksheet can give insight into the understanding of the...
Illustrative Mathematics
Adding Multiples
Mathematicians practice communicating why the sum of two multiples of a number results in another multiple of that number. Encourage learners to construct a viable argument by applying the distributive property or by drawing a diagram....
Curated OER
A Lifetime of Savings
Sometimes people who seem to lead what would be considered an ordinary life do extraordinary things. Such was the case with Oseola McCarty, who donated a large sum of money for a university scholarship fund in her name. Oseala lived her...
Illustrative Mathematics
Pick Two
Learning to break apart numbers into smaller pairs is a critical step young mathematicians take as they develop their number sense. To practice this skill, children are provided with sets of three numbers and are asked to pick the two...
Mathematics Assessment Project
Cross Totals
Finally, it all adds up. LearnersĀ completeĀ a number puzzle in which they investigate the sums of the digits one through nineĀ in a cross pattern. They thenĀ try to determine what totals are possible and which ones are notĀ beforeĀ devising a...
EngageNY
Putting the Law of Cosines and the Law of Sines to Use
Use the Law of Cosines and the Law of Sines to solve problems using the sums of vectors. Pupils work on several different types of real-world problems that can be modeled using triangles with three known measurements. In the process,...
Mathed Up!
Angles in Triangles and Quadrilaterals
This short video show viewers how to connect the sum of the angles in a triangle to other angle measurements. Pupils determine the missing measures for angles involved with triangles and quadrilaterals. Class members then must explain...
Virginia Department of Education
How Many Triangles?
Something for young mathematicians to remember: the sum of any two sides must be greater than the third. Class membersĀ investigates the Triangle Inequality Theorem to find the relationship between the sides of a triangle. At the same...
EngageNY
Estimating Probabilities by Collecting Data
Take a spin to determine experimental probability. Small groups spin a spinner and keep track of the sums of the spins and calculate the resulting probabilities. Pupils use simulated frequencies to practice finding other probabilities to...
EngageNY
Even and Odd Numbers
Even or not, here I come. Groups investigate the parity of products and sums of whole numbers in the 17th lesson in a series of 21. Using dots to represent numbers, they develop a pattern for the products of two even numbers; two odd...
EngageNY
Divisibility Tests for 3 and 9
Who knew the sum of a number's digits gives such interesting information? The 18th installment of a 21-part module has scholars investigate division by three and nine. After looking at several examples, they develop divisibility tests...
California Education Partners
Least and Greatest
Squares can be magic. Pupils use their knowledge of addition of positive and negative rational numbers to create a 3 X 3 magic square where the sums are 1. Scholars create addition and multiplication expressions with a set of rational...
Illustrative Mathematics
Find the Missing Number
First graders are asked to find the missing numbers in subtraction and addition equations. Each missing number is represented with a box and appears as an addend, subtrahend, sum, or difference.
Concord Consortium
Integer Solutions
Experiment with integer relationships. Young scholars consider integers that have a sum of 10. They begin with two integers, then three, four, and more. As they consider each situation, they discover patterns in the possible solutions.
Mathed Up!
Forming and Solving Equations
What does geometry have to do with geometry? The portion of a review series for a math assessment highlights how equation formation is assessed on the test. Pupils use geometric concepts such as perimeter and the sum of the measures of...
Illustrative Mathematics
Operations with Rational and Irrational Numbers
Learners complete addition and multiplication tables that include rational and irrational numbers. They also answer a series of questions about the sums and products of irrational and rational numbers. One suggested modification would be...
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