## GEOMETRY OVERVIEW

Geometry
Congruence
• Experiment with transformations in the plane
• Understanding congruence in terms of rigid motions
• Prove geometric theorems
• Make geometric constructions
Similarity, Right Triangles, and Trigonometry
• Understanding similarity in terms of similarity transformations
• Prove theorems involving similarity
• Define trigonometric ratios and solve problems involving right triangles
• Apply trigonometry to general triangles

Circles

• Understand and apply theorems about circles
• Find arc lengths and area of sectors of circles

Expressing Geometric Properties with Equations

• Translate between the geometric description and the equation for a conic section.
• Use coordinates to prove simple geometric theorems algebraically

Geometric Measurement and Dimension

• Explain volume formulas and use them to solve problems
• Visualize relationships between two-dimensional and three-dimensional objects

Modeling with Geometry

• Apply geometric concepts in modeling situations

Statistics and Probablility
Geometric Measurement and Dimension

• Understand independence and conditional probability and use them to interpret data
• Use the rules of probability to compute probabilities of compound event in a uniform probability model

Using Probability to Make Decisions

• Use probability to evaluate outcomes of decisions
 Mathematical Practices Make sense of problems and persevere in problem solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. Look for and make use of structure. Look for and express regularity in repeated reasoning.

## Semesters at a Glance

#### Semester 2

 Foundations for Geometry (2.5 weeks)Intro to Reasoning (2 weeks) Lines and Angles (3 weeks) Chapter 3 Transformations (2.5 weeks) Chapter 4 5A Triangle Congruency & Properties (4 weeks) Chapter 5 5B Triangles & Parallelograms (1 weeks) Section 6.5 and 7.2 - refresh & extend Semester 1 Similarity (2.5 weeks) Chapter 8 & Section 6.4 Special Right Triangles and Trigonometry (4.5 weeks) Section 9.2, 9.4-9.6 (Honors 9.7) Circles (5 weeks) Chapter 10 Area & Volume (3 weeks) Chapter 11 Probability (2 weeks) Chapter 12

### Geometry Overview

 GEO Guide Overview Geo 1-pg math guide Geo Detailed Curriculum Guide (password protected) Standards for Mathematical Practice in Action Geometry Critical Key Ideas Geometry Course Descriptions Geometry Mathematics Framework Geometry High Level Standards

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