High School Curriculum Explorer · Grades 9–12

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138 original mini-lessons with video choices23 courses9 subject areas

Suggested pathways · Selected standards contributions · No calculus
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Each course has six lessons in three suggested units. Grade ranges guide placement; they are not universal requirements.

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35 minutes

Algebra II

Suggested grades 10–12 · Unit 3: Combining and reversing functions

Composition and the Order of Operations

Track an intermediate output through two functions.

▷ 2 teacher video choices: Composition and the Order of Operations
Preview lesson: Composition and the Order of Operations

Goal: Compute and interpret two compositions and identify a relevant input restriction.

Before this: Function notation Substitution

Try together: For p(x)=2x−1 and q(x)=x², compute p(q(3)) and q(p(3)).

Subject-content contributionHSF.BF.A.1.cHigh school · Functions(+) Additional preparation
Open lesson →: Composition and the Order of Operations
35 minutes

Algebra II

Suggested grades 10–12 · Unit 3: Combining and reversing functions

Inverse Functions as Reversing a Rule

Solve for the original input and distinguish inverse from reciprocal.

▷ 2 teacher video choices: Inverse Functions as Reversing a Rule
Preview lesson: Inverse Functions as Reversing a Rule

Goal: Find a simple inverse rule and state its domain and interpretation.

Before this: Solving equations Function notation

Try together: Find the inverse of k(x)=5x+2 and use it to recover the input producing 27.

Subject-content contributionHSF.BF.B.4.aHigh school · Functions
Open lesson →: Inverse Functions as Reversing a Rule

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