# Looking for Pythagoras

### Topics

The Pythagorean Theorem, square roots, cube roots, decimals, fractions and irrational numbers, properties of rational and irrational numbers, analyzing circles

Overivew of Changes

*Minor Changes* Real numbers with repeating and non repeating decimals have been added.

Detailed Description of Changes

*Looking for Pythagoras* has some modifications. The first three investigations have minor changes, such as Investigation 2 needed a new problem that enables students to learn about cube roots. This new problem is modeled after Problem 2.2 where students are introduced to square roots. Investigations 4 and 5 needed the most changes. The Wheel of Theodorus is still the opening problem of Investigation 4, but due to the discussion of irrational numbers in the 8th grade CCSS-M, three problems from CMP1 needed to be included in this unit. Students are introduced to repeating and terminating decimals as well as irrational numbers. Problems 4.2 (Sneaky Sally) and 4.3 (Analyzing Triangles) have been moved to a new investigation (Investigation 5), making the unit five investigations instead of its previous four. The final problem of Investigation 5 is for students using this unit as an Algebra 1 course, since circles are a component of the Algebra CCSS-M, not the 8th grade standards.

New Investigation | Changes in CMP2 Investigations |
---|---|

Investigation 1 Coordinate Grids |
Investigation 1 has minor changes from CMP2 |

Investigation 2 Squaring Off |
Investigation 2 has minor changes from CMP2 |

Investigation 3 The Pythagorean Theorem |
Investigation 3 has minor changes from CMP2 |

Investigation 4 Using the Pythagorean Theorem: Understanding Real Numbers |
Investigation 4 has minor changes from CMP2. Two problems are moved to Investigation 5 and three problems on real numbers have been added. |

Investigation 5 Using the Pythagorean Theorem: Analyzing Triangles and Circles |
Investigation 5 is a combination of two problems from Investigation 4 of CMP2 plus one new problem on circles. |