HSF-BF.A.1c
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- HSF-BF.A.1aDetermine an explicit expression, a recursive process, or steps for calculation from a context.
- HSF-BF.A.1bCombine standard function types using arithmetic operations. For example, build a function that models the temperature of a cooling body by adding a constant function to a decaying exponential, and relate these functions to the model.
- HSF-BF.A.1c(+) Compose functions. For example, if T(y) is the temperature in the atmosphere as a function of height, and h(t) is the height of a weather balloon as a function of time, then T(h(t)) is the temperature at the location of the weather balloon as a function of time.
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HSF-BF.A.1c
(+) Compose functions. For example, if T(y) is the temperature in the atmosphere as a function of height, and h(t) is the height of a weather balloon as a function of time, then T(h(t)) is the temperature at the location of the weather balloon as a function of time.
9 Lesson(s)
Compositions in Context
12th Grade Math »
Unit: Basic Functions and Equations
12th Grade Math »
Unit: Basic Functions and Equations
Big Idea:
Students first become quick function composers with a relay game and then work to see how composite functions can be used to model cell phone bills.
Standards:
Favorites
(13)
Resources
(18)
Fun with Functions: Basic Inverse and Function Operations
12th Grade Math »
Unit: Basic Functions and Equations
12th Grade Math »
Unit: Basic Functions and Equations
Big Idea:
Students learn different function operations with a colorful teacher-led presentation that engages students with tons of practice.
Standards:
Favorites
(17)
Resources
(22)
Reflections
(1)
Review Day
12th Grade Math »
Unit: Basic Functions and Equations
12th Grade Math »
Unit: Basic Functions and Equations
Big Idea:
This lesson, driven by a 3-2-1 assessment, helps students to review past learning and continue to make new connections.
Standards:
Favorites
(3)
Resources
(14)
Jeopardy: Basic Functions
12th Grade Math »
Unit: Basic Functions and Equations
12th Grade Math »
Unit: Basic Functions and Equations
Big Idea:
Fun (and basic function review) is what this lesson is all about. Students need to bring their thinking caps to win this game of jeopardy!
Standards:
Favorites
(2)
Resources
(5)
Composition of Functions, Day 1 of 2
12th Grade Math »
Unit: Functions and Piecewise Functions
12th Grade Math »
Unit: Functions and Piecewise Functions
Big Idea:
By using graphs, tables, equations and real world problems students use function composition to solve problems
Standards:
Favorites
(9)
Resources
(29)
Reflections
(5)
Test Review
12th Grade Math »
Unit: Basic Functions and Equations
12th Grade Math »
Unit: Basic Functions and Equations
Big Idea:
Students work together to review for the upcoming test.
Standards:
Resources
(3)
Functioning with Functions: Unit Assessment
12th Grade Math »
Unit: Functioning with Functions
12th Grade Math »
Unit: Functioning with Functions
Big Idea:
Assess students' understanding of functions.
Standards:
Resources
(7)
Reflections
(1)
Using Inverses to Evaluate
12th Grade Math »
Unit: Trigonometry as a Real-Valued Functions
12th Grade Math »
Unit: Trigonometry as a Real-Valued Functions
Big Idea:
How can you evaluate cosine when you are given arcsin x without finding the angle?
Standards:
Resources
(15)
Reflections
(1)
Composition of Functions, Day 2 of 2
12th Grade Math »
Unit: Functions and Piecewise Functions
12th Grade Math »
Unit: Functions and Piecewise Functions
Big Idea:
Understanding how a composition can be separated into 2 functions develops skills necessary for calculus.
Standards:
Favorites
(2)
Resources
(25)
Reflections
(2)
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