**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.

**6-3 The Inverse of a Product**

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.

**6-5 Simplification**

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.

**6-6 Reciprocals of 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.