6-1 Building the Whole Numbers and Natural Numbers
Tasks: Describe the mathematical meaning of each image. Compare them.
Learning goals: Understand and compare how whole numbers are generated using addition vs. multiplication.
6-2 Additive and Multiplicative Inverses
Tasks: Describe the mathematical meaning of each image. Predict the value of the "X"d white block. Compare the images.
Learning goals: Understand the general concept of an inverse. Compare and contrast additive and multiplicative inverses.
Tasks: Describe the mathematical meaning of each image. Create your own examples.
Learning goals: Explore and find patterns related to multiplicative inverses of products.
6-4 Building the Positive Rational Numbers
Tasks: Describe the mathematical meaning of each image. Create your own examples.
Learning goals: Use the Math Building Blocks to represent positive rational numbers.
Tasks: Describe the mathematical meaning of each image. Create your own examples.
Learning goals: Compare unsimplified and simplified diagrams for multiplications and addition. Use the Math Building Blocks to represent and simplify fractions.
Tasks: Describe the mathematical meaning of each image, Create your own examples.
Learning goals: Use Math Building Blocks to represent reciprocals of positive rational numbers. Understand reciprocals are multiplicative inverses.
6-7 A New Multiplication Magic Square
Tasks: Describe the mathematical meaning of each image, Compare and contrast the images. Create your own examples.
Learning goals: Continue to explore multiplicative inverses by analyzing diagrams of multiplication magic squares.