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
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.
Illustrative Mathematics
Equivalent Expressions
Here is a straight-forward problem of multiplying two binomials with a twist. It is up to algebra learners to decide how to turn this product of sums into a sum of products. However, it is not the quadratic that is the answer; it is the...
Curated OER
Dice Addition
Using the provided tracing number worksheet, a pair of kindergartners will practice their adding skills. Player A will roll two die, add the sum, and then trace the sum on the worksheet. Player B will take a turn and do the same. The...
Illustrative Mathematics
$20 Dot Map
Challenge the addition skills of young learners with this open-ended math problem. The task is simple, get from start to finish by connecting a series of three numbers. The trick is that the sum of the numbers must be less than or equal...
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.
EngageNY
Solving Problems by Finding Equivalent Ratios
Combine total quantities and equivalent ratios in problem solving. The fifth lesson in a series of 29 presents problems that can be solved using equivalent ratios. Pupils use part-to-part ratios and either sums or differences of the...
Illustrative Mathematics
A Bobbie Bear's Buttons
Young mathematicians help Bobbie Bear pick colored buttons out of a box as they learn how to decompose numbers less than 10 into pairs of smaller numbers. To support young scholars with the process, consider creating a worksheet or...
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,...
Balanced Assessment
Pick a Pattern or Two
Math is all about finding patterns. In this ask, scholars first investigate a sequence formed by squaring the sum of the digits in the previous term. They go on to investigate a second sequence and write an algebraic expression for this...
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
Shake and Spill
Entertaining as well as educational, this math activity about decomposing numbers is bound to capture the engagement of young learners. Given a cup and five two-color counters, young mathematicians simply shake and spill the cup,...
Illustrative Mathematics
Equivalent fractions approach to non-repeating decimals
Trying to get your class to think of decimals as fractions and vice versa can lead to interesting discussions. After all, we can usually understand quickly that 1/4 is .25 but why is 1/7 not so easy to convert? This activity looks at...
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...
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...
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 members 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
Informal Proof of AA Criterion for Similarity
What does it take to show two triangles are similar? The 11th segment in a series of 16 introduces the AA Criterion for Similarity. A discussion provides an informal proof of the theorem. Exercises and problems require scholars to apply...
Illustrative Mathematics
Make 9
Learning how numbers are put together as parts and wholes is a big step in building the foundational number sense of young mathematicians. Here, children are given a number less than 10 and are asked to find as many pairs of numbers as...
Curated OER
Tetrahedral Dice
Put those thinking hats on and look at all the possible outcomes from rolling two different four-sided dice. The challenge in this problem is finding all the combinations when adding and subtracting the numbers from each die and creating...
Illustrative Mathematics
Mixed Numbers with Unlike Denominators
There is more than one way to add mixed numbers. This worksheet asks 5th graders to find and record two ways. The purpose is to help pupils realize there are different ways to reach a common solution in math. The two most common ways are...
EngageNY
Addition and Subtraction Formulas 1
Show budding mathematicans how to find the sine of pi over 12. The third lesson in a series of 16 introduces the addition and subtraction formulas for trigonometric functions. Class members derive the formulas using the distance formula...
Illustrative Mathematics
Guess My Number
Make a game out of solving equations. This particular activity works well for pairs of learners. Follow the instructions to have player one pick a number and player two verbally give an equation. Participants need to make sense of a...
Curated OER
Mixing Fertilizer
Your young landscapers do concentration calculations in this problem dealing with mixing fertilizer. Learners use and analyze rational expressions within this context.
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