Geometry curriculum

A proof-centered geometry course covering transformations, congruence, similarity, trigonometry, circles, area, volume, and coordinate geometry.

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High school geometry / proof readiness

Geometry curriculum

A proof-centered geometry course covering transformations, congruence, similarity, trigonometry, circles, area, volume, and coordinate geometry.

Pacing

8 units, 24-32 weeks self-paced

Units

8 unit sequence

Practice

16 checked answers

Support

Self-paced or tutor-guided

Outcomes

Write valid geometric arguments instead of guessing from diagrams.
Use transformations to justify congruence and similarity.
Connect visual models, measurement, algebra, and coordinate reasoning.

Unit sequence

Built for independent progress first, then tutor support where the student gets stuck.

01
Geometry language and logic
- Use points, lines, angles, and planes precisely.
- Build conditional statements and counterexamples.
Practice: Rewrite vague diagram claims as exact if-then statements.
Original practice checks
Answer in PeerTutor, then use the explanation or bring the miss to a tutor.
2 checked answers
Unit readiness
Which target best matches the Geometry unit "Geometry language and logic"?
Use transformations to compare figures.Build conditional statements and counterexamples.Use points, lines, angles, and planes precisely.Perform translations, rotations, reflections, and dilations.
Practice artifact
Which practice artifact should you produce for "Geometry language and logic" before asking a tutor for help?
Skip the unit and start a new subject.Memorize vocabulary without checking any examples.Rewrite vague diagram claims as exact if-then statements.Watch videos without writing or solving anything.
02
Transformations and symmetry
- Perform translations, rotations, reflections, and dilations.
- Use transformations to compare figures.
Practice: Map one figure onto another and document every transformation.
Original practice checks
Answer in PeerTutor, then use the explanation or bring the miss to a tutor.
2 checked answers
Unit readiness
Which target best matches the Geometry unit "Transformations and symmetry"?
Build conditional statements and counterexamples.Use transformations to compare figures.Perform translations, rotations, reflections, and dilations.Use points, lines, angles, and planes precisely.
Practice artifact
Which practice artifact should you produce for "Transformations and symmetry" before asking a tutor for help?
Memorize vocabulary without checking any examples.Watch videos without writing or solving anything.Skip the unit and start a new subject.Map one figure onto another and document every transformation.
03
Congruent triangles and proof
- Apply SSS, SAS, ASA, AAS, and HL.
- Write paragraph and two-column proofs.
Practice: Prove two triangle pairs congruent from minimal givens.
Original practice checks
Answer in PeerTutor, then use the explanation or bring the miss to a tutor.
2 checked answers
Unit readiness
Which target best matches the Geometry unit "Congruent triangles and proof"?
Perform translations, rotations, reflections, and dilations.Use points, lines, angles, and planes precisely.Apply SSS, SAS, ASA, AAS, and HL.Build conditional statements and counterexamples.
Practice artifact
Which practice artifact should you produce for "Congruent triangles and proof" before asking a tutor for help?
Prove two triangle pairs congruent from minimal givens.Watch videos without writing or solving anything.Memorize vocabulary without checking any examples.Skip the unit and start a new subject.
04
Similarity and right-triangle trigonometry
- Use similarity ratios and scale factors.
- Apply sine, cosine, tangent, and inverse trig.
Practice: Measure an inaccessible height using a right-triangle model.
Original practice checks
Answer in PeerTutor, then use the explanation or bring the miss to a tutor.
2 checked answers
Unit readiness
Which target best matches the Geometry unit "Similarity and right-triangle trigonometry"?
Perform translations, rotations, reflections, and dilations.Apply sine, cosine, tangent, and inverse trig.Use points, lines, angles, and planes precisely.Build conditional statements and counterexamples.
Practice artifact
Which practice artifact should you produce for "Similarity and right-triangle trigonometry" before asking a tutor for help?
Measure an inaccessible height using a right-triangle model.Watch videos without writing or solving anything.Memorize vocabulary without checking any examples.Skip the unit and start a new subject.
05
Circles
- Use chords, arcs, tangents, and secants.
- Compute angle and segment relationships.
Practice: Solve a mixed circle diagram and label the theorem behind each step.
Original practice checks
Answer in PeerTutor, then use the explanation or bring the miss to a tutor.
2 checked answers
Unit readiness
Which target best matches the Geometry unit "Circles"?
Perform translations, rotations, reflections, and dilations.Build conditional statements and counterexamples.Use chords, arcs, tangents, and secants.Use points, lines, angles, and planes precisely.
Practice artifact
Which practice artifact should you produce for "Circles" before asking a tutor for help?
Solve a mixed circle diagram and label the theorem behind each step.Memorize vocabulary without checking any examples.Skip the unit and start a new subject.Watch videos without writing or solving anything.
06
Area, surface area, and volume
- Derive and use area and volume formulas.
- Compare shapes under scaling.
Practice: Design a container under a material constraint and justify its volume.
Original practice checks
Answer in PeerTutor, then use the explanation or bring the miss to a tutor.
2 checked answers
Unit readiness
Which target best matches the Geometry unit "Area, surface area, and volume"?
Use points, lines, angles, and planes precisely.Build conditional statements and counterexamples.Perform translations, rotations, reflections, and dilations.Compare shapes under scaling.
Practice artifact
Which practice artifact should you produce for "Area, surface area, and volume" before asking a tutor for help?
Design a container under a material constraint and justify its volume.Skip the unit and start a new subject.Watch videos without writing or solving anything.Memorize vocabulary without checking any examples.
07
Coordinate geometry
- Use distance, midpoint, slope, and equations.
- Classify figures using coordinates.
Practice: Prove a quadrilateral type using only coordinate evidence.
Original practice checks
Answer in PeerTutor, then use the explanation or bring the miss to a tutor.
2 checked answers
Unit readiness
Which target best matches the Geometry unit "Coordinate geometry"?
Perform translations, rotations, reflections, and dilations.Build conditional statements and counterexamples.Use points, lines, angles, and planes precisely.Use distance, midpoint, slope, and equations.
Practice artifact
Which practice artifact should you produce for "Coordinate geometry" before asking a tutor for help?
Skip the unit and start a new subject.Watch videos without writing or solving anything.Prove a quadrilateral type using only coordinate evidence.Memorize vocabulary without checking any examples.
08
Geometric modeling
- Combine proof, algebra, measurement, and trigonometry.
- Explain assumptions in real-world models.
Practice: Build a scale drawing and audit its assumptions and error sources.
Original practice checks
Answer in PeerTutor, then use the explanation or bring the miss to a tutor.
2 checked answers
Unit readiness
Which target best matches the Geometry unit "Geometric modeling"?
Use points, lines, angles, and planes precisely.Build conditional statements and counterexamples.Perform translations, rotations, reflections, and dilations.Explain assumptions in real-world models.
Practice artifact
Which practice artifact should you produce for "Geometric modeling" before asking a tutor for help?
Build a scale drawing and audit its assumptions and error sources.Watch videos without writing or solving anything.Skip the unit and start a new subject.Memorize vocabulary without checking any examples.