Learning Series Books

Learning Series Book

SumBlox Building Blocks teach a wide range of mathematics through guided, hands-on discovery in our SumBlox Learning Activities.Teachers' guides are currently available to assist in teaching addition, subtraction, multiplication, and fractions.  Each series empowers the educator to gradually move students to a deeper understanding of the properties of math through step-by-step investigations, engaging discussions and fun challenges.

Instructions

  • Teacher: Now I am going to build the Factor Wall of 12.

    Make the following incomplete Factor Wall of 12. The goal is to have your students find the missing stack.

    Stacking blocks

    Teacher: With a partner, I want you to prove that this is or is not the correct factor wall of 12.

    Allow discussion-time. If you want to build an identical, incorrect factor wall so that there are two for the students to use, build it on the other side of the table.

    Teacher: Is this SumBlox Factor Wall of 12 correct? Explain your reasoning.

    Student: No, it is missing a stack. We matched up the stacks with matching factors and found that the stack of four 3-blocks did not have another stack that used the same factors. The equation for the four 3-blocks is 4 x 3 = 12. Using the commutative property, we know that we can switch the factors to get 3 x 4 = 12, which would be three 4-blocks. So we added a stack of three 4-blocks to complete the SumBlox Factor Wall of 12.

    Have students correct the SumBlox Factor Wall(s) of 12 and then write the equations and factor list. Equations: 1 x 12 = 12, 2 x 6 = 12, 3 x 4 = 12, 4 x 3 = 12, 6 x 2 = 12, 12 x 1 = 12. Factor list: 1, 2, 3, 4, 6, 12.

    Stacking blocks

    Teacher: We are now going to have a SumBlox Factor Wall Challenge to practice finding the different factors and equations of different whole numbers.

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