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### Crack the Code: Algebraic Generalizing with Manipulatives

### Math Metaphors

### Pythagorean Theorem with Technology

In this lesson, students will extend the Pythagorean theorem by investigating the relationship between the areas generated by the lengths of the sides of a right triangle, investigate whether the Pythagorean theorem still holds if the shapes are not squares, and investigate whether the Pythagorean theorem still holds if the shapes are not regular.

### Patterns and Functions

### Persevering Through Problem Solving with Open Middle: Order of Operations

In this lesson, students will engage in a low-floor, high-ceiling Open Middle task that challenges students to think critically about order of operations. Suggestions for facilitating this lesson based on Building Thinking Classrooms are provided, as well as extension questions and questions for reflection.### Supporting Black Students’ Mathematical Identity

### Understanding and Comparing Three-Digit Numbers

In this lesson, students will learn to make math drawings for hundreds, tens, and ones and connect the drawings to numerical symbols on layered place-value cards. Students will then compare two-digit and three-digit numbers, justifying their choices using math drawings and/or the layered place-value cards to show their classmates their reasoning.