Grade 10
Grade 10 Geometry
10 units and 54 learning lessons. This is the outline a Grade 10 student works through in Geometry — the lessons themselves are taught inside OHM School, adapted to how each child is doing.
About this outline: the listed lessons are part of the available learning path. A lesson appearing here does not mean its standards mapping or assessment evidence has completed educator review. See the evidence and review methodology.
Grade 10 Geometry
OHM School · Grade 10
Geometry
10 units · 54 lessons
It opens with Foundations and Constructions and closes with Probability.
All units
All units
Lessons
Unit 1 of 10
Foundations and Constructions
4 lessons
Lessons
- 1Precise Definitions
- 2Basic Constructions
- 3Perpendicular and Parallel Constructions
- 4Inscribed Polygons
Unit 2 of 10
Transformations
5 lessons
Lessons
- 1Transformations as Functions
- 2Defining Rigid Motions
- 3Performing Transformations
- 4Symmetry of Polygons
- 5Congruence Through Rigid Motions
Unit 3 of 10
Geometric Proofs
5 lessons
Lessons
- 1Introduction to Deductive Reasoning
- 2Writing Two-Column Proofs
- 3Lines and Angles Theorems
- 4Triangle Theorems
- 5Parallelogram Theorems
Unit 4 of 10
Triangle Congruence
3 lessons
Lessons
- 1Congruence and Corresponding Parts
- 2Congruence Criteria (SSS, SAS, ASA, AAS)
- 3Proving Triangles Congruent
Unit 5 of 10
Similarity
6 lessons
Lessons
- 1Properties of Dilations
- 2Similarity Transformations
- 3The AA Criterion
- 4Triangle Proportionality
- 5Proving the Pythagorean Theorem with Similarity
- 6Solving Problems with Similarity
Unit 6 of 10
Trigonometric Ratios
8 lessons
Lessons
- 1Trigonometric Ratios from Similarity
- 2Sine, Cosine, and Tangent
- 3Sine and Cosine of Complementary Angles
- 4Finding Unknown Angles
- 5Applications of Trigonometry
- 6Area of a Triangle with Sine
- 7The Law of Sines
- 8The Law of Cosines
Unit 7 of 10
Coordinate Geometry
7 lessons
Lessons
- 1Distance and Midpoint Formulas
- 2Slopes of Parallel and Perpendicular Lines
- 3Partitioning a Segment
- 4Perimeter and Area with Coordinates
- 5Proving Geometric Relationships with Coordinates
- 6Equations of Circles
- 7Parabolas from Focus and Directrix
Unit 8 of 10
Circles and 3D Solids
7 lessons
Lessons
- 1All Circles Are Similar
- 2Circle Properties: Arcs and Angles
- 3Inscribed and Circumscribed Circles
- 4Arc Length, Radians, and Sectors
- 5Informal Arguments for Volume
- 6Volume of Cylinders, Cones, and Spheres
- 7Cross-Sections and Solids of Revolution
Unit 9 of 10
Modeling with Geometry
3 lessons
Lessons
- 1Describing Objects with Shapes
- 2Density in Modeling
- 3Geometric Design Problems
Unit 10 of 10
Probability
6 lessons
Lessons
- 1Sample Spaces and Events
- 2Independent Events
- 3Conditional Probability
- 4Two-Way Tables and Probability
- 5Independence in Everyday Language
- 6The Addition Rule
How it is taught
The whole subject, in the order a child meets it.
- What is covered10 units and 54 lessons, every one of them in the book above: this is the whole of Geometry in Grade 10, not a sample.
- Taught in orderA lesson unlocks when the one before it is mastered, and review is scheduled from what the child has actually shown rather than on a fixed timetable.
- Kept currentThese titles are read from the live curriculum, so what is in this book is what a Grade 10 student would work through today.
The Grade 10 shelf
More books in Grade 10
Getting started
Want your child taught this?
OHM School teaches every lesson above with adaptive tutoring, mastery practice, and progress a parent can actually see.
