Summer Mathematics · Structured readiness program
Rising Geometry
Rising Geometry Mathematics builds confidence, closes important skill gaps, and prepares the learner for the next academic level. Key areas include Geometric precision and construction skill.; Transformations as precise functions.; Congruence via transformations..
Program fit
A clear path into the next academic level
This program combines targeted instruction, guided practice, application, and a readiness check so families can see the learner’s strengths and next steps.
Curriculum sequence
What the learner will work through
Open each learning focus to review the session topics, objectives, and standards alignment.
Learning focus 1 Geometric precision and construction skill. 3 sessions
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Session 1
Definitions: Point, Line, Plane, Angle
Understand and apply definitions: Point, Line, Plane, Angle; solve introductory problems with support.
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Session 2
Compass-and-Straightedge: Copying and Bisecting
Build accuracy and confidence with compass-and-Straightedge: Copying and Bisecting through practice and application.
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Session 3
Construction Challenges
Build accuracy and confidence with construction Challenges through practice and application.
Learning focus 2 Transformations as precise functions. 3 sessions
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Session 4
Translations and Reflections as Functions
Understand and apply translations and Reflections as Functions; solve introductory problems with support.
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Session 5
Rotations as Functions
Build accuracy and confidence with rotations as Functions through practice and application.
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Session 6
Composing Rigid Motions
Build accuracy and confidence with composing Rigid Motions through practice and application.
Learning focus 3 Congruence via transformations. 3 sessions
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Session 7
Congruence Defined by Rigid Motions
Understand and apply congruence Defined by Rigid Motions; solve introductory problems with support.
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Session 8
Corresponding Parts
Build accuracy and confidence with corresponding Parts through practice and application.
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Session 9
Showing Figures Congruent
Build accuracy and confidence with showing Figures Congruent through practice and application.
Learning focus 4 Deductive reasoning debuts. 3 sessions
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Session 10
What Counts as a Proof
Understand and apply what Counts as a Proof; solve introductory problems with support.
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Session 11
Proving Angle and Line Theorems
Build accuracy and confidence with proving Angle and Line Theorems through practice and application.
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Session 12
Proof Formats: Two-Column and Paragraph
Build accuracy and confidence with proof Formats: Two-Column and Paragraph through practice and application.
Learning focus 5 The classic criteria, grounded in rigid motion. 3 sessions
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Session 13
SSS and SAS
Understand and apply sSS and SAS; solve introductory problems with support.
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Session 14
ASA and AAS
Build accuracy and confidence with aSA and AAS through practice and application.
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Session 15
Congruence Proof Practice
Build accuracy and confidence with congruence Proof Practice through practice and application.
Learning focus 6 Similarity foundations. 3 sessions
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Session 16
Dilations: Center and Scale Factor
Understand and apply dilations: Center and Scale Factor; solve introductory problems with support.
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Session 17
Similarity via Transformations
Build accuracy and confidence with similarity via Transformations through practice and application.
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Session 18
AA Similarity Preview
Build accuracy and confidence with aA Similarity Preview through practice and application.
Learning focus 7 Algebra meets geometry. 3 sessions
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Session 19
Distance and Midpoint
Understand and apply distance and Midpoint; solve introductory problems with support.
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Session 20
Slope Criteria for Parallel/Perpendicular
Build accuracy and confidence with slope Criteria for Parallel/Perpendicular through practice and application.
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Session 21
Coordinate Arguments
Build accuracy and confidence with coordinate Arguments through practice and application.
Learning focus 8 Trig ratio preview; readiness. 3 sessions
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Session 22
Similar Right Triangles and Ratios
Understand and apply similar Right Triangles and Ratios; solve introductory problems with support.
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Session 23
Sine, Cosine, Tangent Preview
Build accuracy and confidence with sine, Cosine, Tangent Preview through practice and application.
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Session 24
School-Year Readiness Check
Demonstrate readiness for the new school year; identify any remaining gaps.
Included learning support
Instruction that responds to the learner
Sessions can be adjusted for review, confidence building, acceleration, or preparation for the next course.
- Guided instruction and worked examples
- Targeted practice and real-world application
- Readiness checks and practical next steps
- Family-friendly progress guidance
Build the right summer plan
Start with the learner’s current level and fall goal
We will help you select the right program level, pace, and areas of focus.