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...
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,...
EngageNY
Using Permutations and Combinations to Compute Probabilities
Now that we know about permutations and combinations, we can finally solve probability problems. The fourth installment of a 21-part module has future mathematicians analyzing word problems to determine whether permutations or...
Curated OER
Combinations to 20
Ten frames are a great way to help visualize simple math problems, evidenced in this clear and concise word problems worksheet. Each question features two ten frames for learners to use as they solve. All numbers are 20 or less....
Scholastic
Study Jams! Combinations
With so many combinations, this colorful video allows your learners to mathematically figure out how many options they have when purchasing t-shirts. One instructional activity teaches how to find out the combinations, and the second...
CK-12 Foundation
Combinations: Making the Team
Determine how many three-player teams you can make from five players. Pupils drag dots representing players to create a list of teams they can form with a limited number of players. They then find out the number of teams one individual...
Discover Mathematics
Equivalent Fractions Game: Three in a Row
Dice up fractions and bring this game into the classroom. Players roll dice to create fractions, and then have to find an equivalent fraction on the board. Once they get three in a row, they win!
Illustrative Mathematics
Hitting the Target Number
Make combinations to reach the target. Learners play a game to add and subtract numbers between 0 and 10 to reach a target number between 10 through 20. Teachers use the game to help pupils learn efficient ways to add and subtract within...
Inside Mathematics
Number Towers
Number towers use addition or multiplication to ensure each level is equal. While this is common in factoring, it is often not used with algebraic equations. Solving these six questions relies on problem solving skills and being able to...
Concord Consortium
Perfect Ten
How many ways can you make 10? Class members tackle three problems to find all possible ways three numbers add to be 10. The first is with positive integers, secondly with non-negative integers, and finally with real numbers. Pupils also...
Curated OER
K-5 Mathematics Module: Number and Number Sense
Reinforce number sense with a collection of math lessons for kindergarteners through fifth graders. Young mathematicians take part in hands-on activities, learning games, and complete skills-based worksheets to enhance proficiency in...
Virginia Department of Education
Permutations and Combinations
Counting is not all it adds up to be — sometimes it involves multiplying. The lesson introduces permutations and combinations as ways of counting, depending upon whether order is important. Pupils learn about factorials and the formulas...
EngageNY
Counting Rules—Combinations
Discover how combinations are different from permutations. In the third installment of a 21-part module, scholars learn how to determine combinations of objects. They learn to distinguish between situations where order is important and...
Math Wire
Gingerbread Man Combinations
Gingerbread men are just like us—they're unique! Discover how many combinations are possible when constructing a gingerbread man with several choices for shapes and colors of eyes, noses, and buttons.
CK-12 Foundation
Counting Techniques: Permutations and Combinations
Comparing and contrasting is an important skill, even in mathematics. A drag-and-drop interactive has users classify situations as suitable for permutations or combinations. A set of challenge questions tests whether they know the...
Illustrative Mathematics
What’s Missing?
Now you see them, now you don't! This fun peek-a-boo activity engages young mathematicians in developing their ability to compose and decompose numbers. After being presented with a series of counters, children close their eyes while the...
Curated OER
Mathematical Treasure Hunt
The hunt is on! Young mathematicians follow clues and complete a series of ten math puzzles as they try to crack Dr. Integer's code and find the location of his hidden treasure.
Curated OER
Make 12: Number Combinations
In this make 12 worksheet, learners write number sentences using five cards, with numbers or operations on them, that will total 12.
Scholastic
Study Jams! Tree Diagrams
With so many toppings to chose from, make the ice cream truck combinations a fun math problem that teaches your learners about outcomes. The video introduces a tree diagram that allows your mathematicians to see how to create...
Balanced Assessment
Legos
How many ways can you arrange two six-hole Legos? Scholars practice their understanding of combinations as they investigate this question. As they create a plan, they develop a specific definition of a combination.
Concord Consortium
Petit Fours
Four 4s represent the counting numbers. Pupils attempt to write equivalent expressions to as many counting numbers as possible using only four 4s. Scholars then determine whether the same feat is possible using only three 3s.
Raytheon
Permutations and Combinations
For this permutations and combinations worksheet, middle schoolers complete word problems and pattern problems dealing with permutations and combinations. Students complete 14 problems total.
Curated OER
Math Regents Exam Questions: Combinations
In this combinations worksheet, students solve 20 short answer and multiple choice questions. Students determine the number of possible combinations given a word problem.
Curated OER
Permutations and Combinations II
In this permutation and combinations worksheet, students read situations and determine if it is a permutation or combination. They write equations and solve problems. This one-page worksheet contains eleven problems. Answers are...
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