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Illustrative Mathematics
Numbers in a Multiplication Table
Identifying patterns is a crucial skill for all mathematicians, young and old. Explore the multiplication table with your class, using patterns and symmetry to teach about square numbers, prime numbers, and the commutative and identity...
5280 Math
Multiplication Table Algebra
Patterns, patterns, everywhere! Young scholars examine the multiplication table to identify patterns. Their exploration leads to an understanding of the difference of squares and sum of cubes by the completion of the algebra project.
EngageNY
Multiplying and Factoring Polynomial Expressions (part 2)
If you can multiply binomials, you can factor trinomials! This is the premise for a lesson on factoring. Pupils look for patterns in the binomials they multiply and apply them in reverse. Examples include leading coefficients of one...
Curated OER
Multiplication Magic
Investigate multiplication problem solving strategies by working with base 10 blocks. Learners decompose problems with a Merlin the Magician theme. Multiple resources are provided.
Curated OER
Pattern Search
Third graders review the commutative and associative property in mathematics. Using a worksheet, they work together to identify the patterns between the 32 triangles. To end the instructional activity, they create their own array and...
Curated OER
Pascal's Triangle
Students explore the concept of Pascal's Triangle. For this Pascal's Triangle lesson, students use an applet called 'Coloring Multiples' to explore Pascal's Triangle. Students develop patterns starting with various numbers in Pascal's...
EngageNY
When Can We Reverse a Transformation? 2
The second lesson on finding inverse matrices asks class members to look for a pattern in the inverse matrix and test it to see if it works for all matrices. The teacher leads a discussion to refine the process in finding inverses,...
Curated OER
Grade 2: Exploring Place Value
Creative problem solving is fun and helps kids conceptualize content. They use grid paper, manilla paper, and markers to cut, draw, and show given double-digit numbers as many ways as they can.
Curated OER
Counting Principle
Young scholars identify the different outcomes given a situation. In this algebra lesson, students calculate the possible outcome using the counting principle. They compare and analyze patterns to make their predictions.
Curated OER
Using CAS and algebra tiles with Expanding and factoring trinomials
Ninth graders investigate multiplication of binomials and factoring of trinomials. In this Algebra I lesson, 9th graders compare and contrast expansion and factoring using algebra tiles and a TI-89.
Mathematics Vision Project
Module 3: Polynomial Functions
An informative module highlights eight polynomial concepts. Learners work with polynomial functions, expressions, and equations through graphing, simplifying, and solving.
Curated OER
Mathematics Within: Algebraic Processes and Its Connections to Geometry
Fifth graders discover the connections between algebra and geometry. With a focus on arrays and factors, they are introduced to multiplication. They develop an array for multiples of 2 through 10 and identify the factors of each row....
Pennsylvania Department of Education
Equal Groups
Students explore statistics by completing a graphing activity. In this data analysis lesson, students define a list of mathematical vocabulary terms before unpacking a box of raisins. Students utilize the raisins to plot data on a line...
Curated OER
The Binary Counter Circuit
Pupils count from 0-99 using the binary number system. For this algebra lesson, students problem solve by working with faulty circuits and applying their knowledge f Binary Numbers. They work in team to create a solution.