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
  1. Make sense of problems and persevere in problem solving them.

  2. Reason abstractly and quantitatively.

  3. Construct viable arguments and critique the reasoning of others.

  4. Model with mathematics.

  5. Use appropriate tools strategically.

  6. Attend to precision.

  7. Look for and make use of structure.

  8. Look for and express regularity in repeated reasoning.

Semesters at a Glance

Semester 1

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






Santa Monica-Malibu Unified School District
1651 16th Street
Santa Monica, California 90404
310-450-8338
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