HIGH SCHOOL

Geometry 1B

This course covers the topics for the second semester of Geometry 1, and is aligned with California Common Core State Standards (CA CCSS.)

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FORMAT: Self-paced, online, video-based
LEVEL: High School
CREDITS: 5 (one semester)

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Full refund if you complete the entire course and don't pass.

Overview

Geometry 1B builds on foundational geometry concepts with an emphasis on polygons, similarity, trigonometry, circles, area, volume, and probability. Students explore the properties of quadrilaterals and other polygons, use similarity and proportional reasoning, and apply right-triangle trigonometry, including sine, cosine, and tangent. The course also covers the properties and measurements of circles, areas and volumes of two- and three-dimensional figures, and fundamental concepts of probability, permutations, and combinations.

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RECOMMENDED AGES: High School
CREDITS: 5 (one semester)

CURRICULUM

Course contents

  • 1.1 The Polygon Angle-Sum Theorems
    1.2 Properties of Parallelograms
    1.3 Properties of Rhombuses & Kites
    1.4 Properties of Rectangles & Squares
    1.5 Properties of Trapezoids
    1.6 Coordinate Geometry

  • 2.1 Similar Polygons
    2.2 Proving Triangle Similarity - AA
    2.3 Proving Triangle Similarity- SSS
    2.4 Proving Triangle Similarity- SAS
    2.5 Similarity in Right Triangles
    2.6 Proportions in Triangles

  • 3.1 The Pythagorean Theorem
    3.2 Special Right Triangles
    3.3 Sin, Cos, Tan
    3.4 Angles of Elevation and Depression
    3.5 Solving Right Triangles
    3.6 Area of Regular Polygons (Using Trigonometry)
    3.7 Law of Sines & Law of Cosines

  • 4.1 Radius, Chord, Diameter, Secant, & Tangent
    4.2 Finding Arc Measures
    4.3 Finding Circumference & Arc Lengths
    4.4 Chord Theorems
    4.5 Inscribed Angles
    4.6 Angle Relationships in Circles
    4.7 Segment Relationships in Circles
    4.8 Finding Circle and Sector Areas
    4.9 Circles in the Coordinate Plane

  • 5.1 Areas of Regular Polygons
    5.2 Surface Areas of Prisms and Cylinders
    5.3 Surface Areas of Pyramids and Cones
    5.4 Volumes of Prisms and Cylinders
    5.5 Volumes of Pyramids and Cones
    5.6 Surface Area and Volumes of Spheres
    5.7 Areas and Volumes of Similar Solids

  • 6.1 Sample Space & Probability
    6.2 Independent & Dependent Events
    6.3 Two-Way Tables
    6.4 Permutations & Combinations
    6.5 Binomial Distribution

UNIT 1, LESSON 1.1

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Law of Sines & Law of Cosines

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