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Kakooma Polygon Shapes and Multiplication--Make Your Own

The 3rd through 6th graders were craving multiplication Kakooma after its introduction last week. Not only did we explore this new challenge but we did it with square, pentagonal, hexagonal, heptagonal, and octagonal patterns. We spent considerable time looking at the advantages of hexagonal tessellations vs. pentagons which do not tesselate.

Kakooma: Power Adding Puzzle

Kakooma is a wonderful puzzle created by mathematician, Greg Tang, to challenge children to see the operations visually requiring hundreds of mental calculations and strategies. 

 

Prime Factorization and Number of Factors Algorithm (3rd through 7th grade)

The logical extension to finding all of the factors of a number using the double/half method is to dissect numbers into their prime factorization. Every whole number greater than one can be factored into prime numbers multiplied by other prime numbers. For example, 12 = 2x2x3 or we say 2^2 x 3.

Triangle Area = Half of Corresponding Rectangle (Prime and Composite Areas) (K-2nd Grade)(Tuesday-Friday only; not Monday classes)

Last week we explored the area of rectangles by looking at the multiplication of dimensions. It is only logical to extend this lesson to looking at the area of each rectangles corresponding triangle as exactly one half.

Factoring: Rectangles and Double-Half Method

Factor Pairs: Double-Half Method (Grades 3-6)