## Topic outline

- General
### General

Polansky

3rd hour https://classroom.google.com/c/NDM1NzQyNTgwMFpa

4th hour https://classroom.google.com/c/NDM1Nzc3MTU2MFpa

5th hour https://classroom.google.com/c/NDM1NzczOTU1NVpa

7th hour https://classroom.google.com/c/NDM1NzgwNTM5MFpa

**Course Description**This course is designed to formalize and extend the mathematics that students learned in sixth and seventh grade. Students will expand their algebraic thinking to include radical and integer exponents; through reasoning with expressions, equations, and systems of equations. Students will define, evaluate and compare functions. Students will use scientific notation to represent and calculate big and small numbers. Students build on their understanding of geometry to include rigid transformations, similarity and proof of congruence of figure. Students will explore right triangles and the Pythagorean Theorem. Throughout this course, students will persevere in problem solving, engage in mathematical arguments, model mathematics, communicate with precision, discern patterns and structures, and analyze the whole situation and work with the details. Students will utilize both content and practice in the context of real world situations.

**Key Course Learning Experiences**Rigid Transformation and Congruence

Students describe the effects of rotations, reflections, translations and prove congruence.

Dilations, Similarity, and Introducing Slope

Students extend their knowledge with proportional relationships to prove similarity of dilations and evaluate slope triangles..

Linear Relationships

Students build on their knowledge to understand the connections between proportional relationships, lines and linear equations.

Linear Equations and Linear Systems

Students extend their understanding to analyze and solve linear equations and pairs of simultaneous linear equations.

Functions and Volume

Students develop their understanding of functions to model relationships between quantities.

Associations in Data

Students analyze and evaluate linear relationships.

Exponents and Scientific Notation

Students reason about big and small numbers and use notation.

Pythagorean Theorem and Irrational Numbers

Students experimentally prove the Pythagorean Theorem and use it to find missing side lengths in right triangles in real-world and mathematical problems in two and three dimensions.

**Essential Learning Goals**1. Attends to precision (40%)

Work shown displays the correct procedures to solve problems.

2. Problem Solving (40%)

Apply and adapt a variety of appropriate strategies to solve problems.

3. Communication (20%)

Coherently communicates mathematical thinking both spoken and written.

**Major Assessments and Success Criteria**Students will engage in formative practices, summative assessments, and performance tasks employing the Essential Learning Goals as applied to geometric transformations, algebraic reasoning, understanding functions, special properties of right triangles, using numbers, large and small, rational and irrational to reason through and solve real-world problems. Through a process of reflection and revision, students will work towards mastery of his/her learning. Assessments will be multifaceted with an emphasis on skills that will enhance their upper level math thinking, and will relate mathematics to the real world.