Summer Mathematics · Structured readiness program
Rising Precalculus
Rising Precalculus Mathematics builds confidence, closes important skill gaps, and prepares the learner for the next academic level. Key areas include The analytical core of Precalc.; Complete graph analysis.; Full exp/log command..
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 The analytical core of Precalc. 3 sessions
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Session 1
Domain, Range, and Behavior Analysis
Understand and apply domain, Range, and Behavior Analysis; solve introductory problems with support.
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Session 2
Composition of Functions
Build accuracy and confidence with composition of Functions through practice and application.
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Session 3
Inverse Functions Mastery
Build accuracy and confidence with inverse Functions Mastery through practice and application.
Learning focus 2 Complete graph analysis. 3 sessions
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Session 4
End Behavior and Multiplicity
Understand and apply end Behavior and Multiplicity; solve introductory problems with support.
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Session 5
Rational Functions: Asymptotes
Build accuracy and confidence with rational Functions: Asymptotes through practice and application.
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Session 6
Graphing Rational Functions
Build accuracy and confidence with graphing Rational Functions through practice and application.
Learning focus 3 Full exp/log command. 3 sessions
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Session 7
Log Properties and Equation Solving
Understand and apply log Properties and Equation Solving; solve introductory problems with support.
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Session 8
The Number e and Natural Logs
Build accuracy and confidence with the Number e and Natural Logs through practice and application.
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Session 9
Exponential/Log Modeling
Build accuracy and confidence with exponential/Log Modeling through practice and application.
Learning focus 4 The trig foundation. 3 sessions
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Session 10
Radian Measure
Understand and apply radian Measure; solve introductory problems with support.
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Session 11
The Unit Circle
Build accuracy and confidence with the Unit Circle through practice and application.
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Session 12
Exact Trig Values
Build accuracy and confidence with exact Trig Values through practice and application.
Learning focus 5 Trig as functions. 3 sessions
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Session 13
Graphing Sine and Cosine
Understand and apply graphing Sine and Cosine; solve introductory problems with support.
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Session 14
Amplitude, Period, Phase Shift
Build accuracy and confidence with amplitude, Period, Phase Shift through practice and application.
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Session 15
Modeling Periodic Phenomena
Build accuracy and confidence with modeling Periodic Phenomena through practice and application.
Learning focus 6 Symbolic trig fluency. 3 sessions
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Session 16
Fundamental Identities
Understand and apply fundamental Identities; solve introductory problems with support.
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Session 17
Verifying Identities
Build accuracy and confidence with verifying Identities through practice and application.
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Session 18
Solving Trig Equations
Build accuracy and confidence with solving Trig Equations through practice and application.
Learning focus 7 Discrete math strand. 3 sessions
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Session 19
Explicit and Recursive Sequences
Understand and apply explicit and Recursive Sequences; solve introductory problems with support.
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Session 20
Arithmetic and Geometric Series
Build accuracy and confidence with arithmetic and Geometric Series through practice and application.
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Session 21
Sigma Notation
Build accuracy and confidence with sigma Notation through practice and application.
Learning focus 8 Preview of the Precalc-exclusive domains; readiness. 3 sessions
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Session 22
Vectors: Components and Operations
Understand and apply vectors: Components and Operations; solve introductory problems with support.
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Session 23
Matrices: Operations Preview
Build accuracy and confidence with matrices: Operations 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.