 K12 Curriculum
 0 (Registered)

05
Jan
Credit Value: 1
Anticipated Grade Level(s): 9^{th} or 10^{th}.
Prerequisites: Algebra 1 or equivalent. In exceptional situations, Geometry may be taken simultaneously with Algebra 1 with teacher approval.
Course Description:
In Geometry students develop reasoning and problemsolving skills as they study topics such as congruence and similarity; apply properties of lines, triangles, quadrilaterals, and circles; and use length, perimeter, area, circumference, surface area, and volume to solve realworld problems. In addition to its geometry content, the course includes numerous examples and exercises involving algebra, data analysis, and probability.
Course Content

Chapter 1: Essentials of Geometry
7
Lecture1.1Identify Points, Lines, and Planes

Lecture1.2Use Segments and Congruence

Lecture1.3Use Midpoint and Distance Formulas

Lecture1.4Measure and Classify Angles

Lecture1.5Describe Angle Pair Relationships

Lecture1.6Classify Polygons

Lecture1.7Chapter 1 TEST Essentials of Geometry


Chapter 2: Reasoning and Proof
8
Lecture2.1Use Inductive Reasoning

Lecture2.2Analyze Conditional Statements

Lecture2.3Apply Deductive Reasoning

Lecture2.4Use Postulates and Diagrams

Lecture2.5Reason Using Properties from Algebra

Lecture2.6Prove Statements about Segments and Angles

Lecture2.7Prove Angle Pair Relationships

Lecture2.8Chapter TEST Reasoning and Proof


Chapter 3: Parallel and Perpendicular Lines
7
Lecture3.1Identify Pairs of Lines and Angles

Lecture3.2Use Parallel Lines and Transversals

Lecture3.3Prove Lines are Parallel

Lecture3.4Find and Use Slopes of Lines

Lecture3.5Write and Graph Equations of Lines

Lecture3.6Prove Theorems about Perpendicular Lines

Lecture3.7Chapter TEST Parallel and Perpendicular Lines


Chapter 4: Congruent Triangles
10
Lecture4.1Apply Triangle Sum Properties

Lecture4.2Apply Congruence and Triangles

Lecture4.3Transformations and Congruence

Lecture4.4Prove Triangles Congruent by SSS

Lecture4.5Prove Triangles Congruent by SAS and HL

Lecture4.6Prove Triangles Congruent by ASA and AAS

Lecture4.7Use Congruent Triangles

Lecture4.8Use Isosceles and Equilateral Triangles

Lecture4.9Perform Congruence Transformations

Lecture4.10Chapter TEST Congruent Triangles


Chapter 5: Relationships within Triangles
7
Lecture5.1Midsegment Theorem and Coordinate Proof

Lecture5.2Use Perpendicular Bisectors

Lecture5.3Use Angle Bisectors of Triangles

Lecture5.4Use Medians and Altitudes

Lecture5.5Use Inequalities in a Triangle

Lecture5.6Inequalities in Two Triangles and Indirect Proof

Lecture5.7Chapter TEST Relationships within Triangles


Chapter 6: Similarity
7
Lecture6.1Use Similar Polygons

Lecture6.2Transformations and Similarity

Lecture6.3Prove Triangles Similar by AA

Lecture6.4Prove Triangles Similar by SSS and SAS

Lecture6.5Use Proportionality Theorems

Lecture6.6Perform Similarity Transformations

Lecture6.7Chapter TEST Similarity


Chapter 7: Right Triangles and Trigonometry
8
Lecture7.1Apply the Pythagorean Theorem

Lecture7.2Use the Converse of the Pythagorean Theorem

Lecture7.3Use Similar Right Triangles

Lecture7.4Special Right Triangles

Lecture7.5Apply the Tangent Ratio

Lecture7.6Apply the Sine and Cosine Ratios

Lecture7.7Solve Right Triangles

Lecture7.8Chapter TEST Right Triangles and Trigonometry


Chapter 8: Quadrilaterals
7
Lecture8.1Find Angle Measures in Polygons

Lecture8.2Use Properties of Parallelograms

Lecture8.3Show that a Quadrilateral is a Parallelogram

Lecture8.4Properties of Rhombuses, Rectangles, and Squares

Lecture8.5Use Properties of Trapezoids and Kites

Lecture8.6Identify Special Quadrilaterals

Lecture8.7Chapter TEST Quadrilaterals


Chapter 9: Properties of Transformations
8
Lecture9.1Translate Figures and Use Vectors

Lecture9.2Use Properties of Matrices

Lecture9.3Perform Reflections

Lecture9.4Perform Rotations

Lecture9.5Apply Compositions of Transformations

Lecture9.6Identify Symmetry

Lecture9.7Identify and Perform Dilations

Lecture9.8Chapter TEST Properties of Transformations


Chapter 10: Properties of Circles
8
Lecture10.1Use Properties of Tangents

Lecture10.2Find Arc Measures

Lecture10.3Apply Properties of Chords

Lecture10.4Use Inscribed Angles and Polygons

Lecture10.5Apply Other Angle Relationships in Circles

Lecture10.6Find Segment Lengths in Circles

Lecture10.7Write and Graph Equations of Circles

Lecture10.8Chapter TEST Properties of Circles


Chapter 11: Measurement of Figures and Solids
10
Lecture11.1Circumference and Arc Length

Lecture11.2Areas of Circles and Sectors

Lecture11.3Areas of Regular Polygons

Lecture11.4Use Geometric Probability

Lecture11.5Explore Solids

Lecture11.6Volume of Prisms and Cylinders

Lecture11.7Volume of Pyramids and Cones

Lecture11.8Surface Area and Volume of Spheres

Lecture11.9Explore Similar Solids

Lecture11.10Chapter TEST Measurement of Figures and Solids


Chapter 12: Probability
6
Lecture12.1Find Probabilities and Odds

Lecture12.2Find Probabilities Using Permutations

Lecture12.3Find Probabilities Using Combinations

Lecture12.4Find Probabilities of Disjoint and Overlapping Events

Lecture12.5Find Probabilities of Independent and Dependent Events

Lecture12.6Chapter TEST Probability

About the Instructor
David is a professor of mathematics education at the Aphy School. His research focuses on social and cultural factors as well as educational policies and practices that facilitate mathematics engagement, learning, and performance, especially for underserved students. Alphy School collaborates with teachers, schools, districts, and organizations to promote mathematics excellence and equity for young people.
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