EngageNY
The Relationship of Multiplication and Addition
You know 4 + 4 + 4 = 3(4), but what about x + x + x? Pairs work together to develop equivalent expressions relating multiplication and addition in the third lesson of a 36-part series. They extend their knowledge of multiplication as...
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...
Curated OER
A Sum of Functions
Collaborative learners will see the geometric addition of functions by graphing the sum of two graphed curves on the same coordinate plane. This task then naturally flows into giving learners the algebraic representation of the curves...
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...
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
Sugar in Six Cans of Soda
Understanding how to multiply a whole number by a fraction is the key concept. Young mathematicians create a visual model of this real-world example and find the solution. Extensions are possible for making this an even richer activity....
EngageNY
The Relationship of Division and Subtraction
See how division and subtraction go hand-in-hand. The fourth installment of a 36-part module has scholars investigate the relationship between subtraction and division. They learn using tape diagrams to see that they can use repeated...
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...
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...
Balanced Assessment
Dog Tags
Class members demonstrate a proficiency with conditional probabilities through this task. Individuals calculate probabilities using multiplication and addition. They also distinguish between repetition and non-repetition while...
Illustrative Mathematics
Number of the Day
Daily routines not only help to manage classrooms, they can also provide students with rich opportunities for learning. This activity supports young learners in developing their number sense by counting up the school days on a class...
Inside Mathematics
Magic Squares
Prompt scholars to complete a magic square using only variables. Then they can attempt to solve a numerical magic square using algebra.
Inside Mathematics
Hexagons
Scholars find a pattern from a geometric sequence and write the formula for extending it. The worksheet includes a table to complete plus four analysis questions. It concludes with instructional implications for the teacher.
Illustrative Mathematics
Sports Equipment Set
Many students like to play sports and the equipment that goes with it costs money. The resource sets up an inequality that gives a total amount needed to purchase the equipment and the initial amount of money already obtained. In order...
Curated OER
Analyzing Word Problems Involving Multiplication
Learners sometimes have difficulty making sense of a word problem. In a guided learning activity, pupils are asked to think about how to find an answer and explain their thinking, rather than finding the answer. It allows them to...
Los Angeles County Office of Education
California State Standards: Algebra I
Starting a year of Algebra I? This mighty packet practices all of the major topics with different ranges of difficulty. Standards include everything from linear to quadratic to rational expressions. Use it in a...
Curated OER
Bernardo and Sylvia Play a Game
This activity presents a game played by two learners whose solution is an exercise in creating and analyzing with algebraic inequalities.
Illustrative Mathematics
Kimi and Jordan
A single activity gets your math class to solve a word problem using two linear equations and two variables. They compare the summer earnings of Kimi and Jordan and then graph the solutions to determine who will save the most money in a...
Khan Academy
Khan Academy: Math: 3rd Grade: Relate Repeated Addition to Multiplication
Math practice exercise on repeated addition with multiplication.
Khan Academy
Khan Academy: Addition Word Problems Within 10
In this exercise, students practice addition word problems within 10. Students receive immediate feedback and have the opportunity to get hints and try questions repeatedly.
Khan Academy
Khan Academy: Addition and Subtraction Word Problems 1
In this exercise, students practice addition and subtraction word problems 1. Students receive immediate feedback and have the opportunity to get hints and try questions repeatedly.
Khan Academy
Khan Academy: Breaking Apart Two Digit Addition Problems
In this exercise, students practice breaking apart two-digit addition problems. Students receive immediate feedback and have the opportunity to get hints and try questions repeatedly.
Khan Academy
Khan Academy: Integer Addition and Subtraction With Substitution
In this exercise, students practice integer addition and subtraction with substitution. Students receive immediate feedback and have the opportunity to get hints and try questions repeatedly.
Khan Academy
Khan Academy: Meaning of Multiplication
Practice representing multiplication as equal groups, repeated addition, or arrays. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints. Video content is available for...
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