Monthly Archives: September 2015

Precalculus

Sept 30 6-1 Function Transformation Con’t

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Precalc Lesson 6-1 Classwork Functions and Transformations

Play with ME! Desmos Function Transformation

I Doubt it Cards Precalc Lesson 6-1 I Doubt It Cards

Precalc Lesson 6-1 to 6-2 Homework

 

Activity 6Transformations of Functions

6-1 Learning Targets:

  • Graph transformations of functions and write the equations of the transformed functions.
  • Describe the symmetry of the graphs of even and odd functions.

6-2 Learning Targets:

  • Add, subtract, multiply, and divide functions.
  • Transform and perform operations with piecewise-defined functions.
 Transforming Functions
Recognizing odd and even functionsConnection between even and odd numbers and functions

Recognizing features of functions (example 1)

Recognizing features of functions (example 2)

Recognizing features of functions (example 3)
Function Operations
Sum of functionsDifference of functions

Product of functions

Quotient of functions
Precalculus

Sept 29 Precalculus 6.1 Function Transformations

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Precalc Lesson 6-1 Classwork  Functions and Transformations

Play with ME! Desmos Function Transformation

I Doubt it Cards Precalc Lesson 6-1 I Doubt It Cards

Precalc Lesson 6-1 to 6-2 Homework

 

Activity 6

Transformations of Functions

6-1 Learning Targets:

  • Graph transformations of functions and write the equations of the transformed functions.
  • Describe the symmetry of the graphs of even and odd functions.

6-2 Learning Targets:

  • Add, subtract, multiply, and divide functions.
  • Transform and perform operations with piecewise-defined functions.
 Transforming Functions
Recognizing odd and even functions

Connection between even and odd numbers and functions

Recognizing features of functions (example 1)

Recognizing features of functions (example 2)

Recognizing features of functions (example 3)
Function Operations
Sum of functions

Difference of functions

Product of functions

Quotient of functions
Algebra 2

Sept 29 Algebra 2 6-2 Graphs of Inverse Functions

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Quiz 7

Quiz 7 Functions Ops

 

Alg 2 Classwork Lesson 6-2  Graphs of Inverse Functions

Alg 2 Homework Lesson 6-1 to 6-2

Activity 6

Inverse Functions

6-1 Learning Targets:

  • Find the inverse of a function.
  • Write the inverse using the proper notation.

6-2 Learning Targets:

  • Use composition of functions to determine if functions are inverses of each other.
  • Graph inverse functions and identify the symmetry.
 Inverse Functions
Introduction to function inverses

Introduction to the inverse of a function

Function inverse example 1

Function inverses example 2

Function inverses example 3
Algebra 2

Sept 28 Algebra 2 6.1 Inverse Functions

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Get Back Quiz 6— Absent students must make up and do Act 4 Grade Check in Person

6.1 Inverse Functions p 89-92  Alg 2 Classwork Lesson 6-1

HW Finish 5-1 to 5-3 for grade check and quiz prep

  • 5-1 p 87-88 1-12 old
  • 5-2 p 87-88 13-22 old
  • 5-3 p 87-88 23-35 old
  • 6-1 p 97 1-14 new

Quiz tomorrow on Function Operations and Composite Functions

KHANACADEMY HELP

Activity 6

Inverse Functions

6-1 Learning Targets:

  • Find the inverse of a function.
  • Write the inverse using the proper notation.

6-2 Learning Targets:

  • Use composition of functions to determine if functions are inverses of each other.
  • Graph inverse functions and identify the symmetry.
 Inverse Functions
Introduction to function inverses

Introduction to the inverse of a function

Function inverse example 1

Function inverses example 2

Function inverses example 3

 

Precalculus

Sept 25 Precalculus Finish 5-3/Start 6.1

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Precalc Lesson 5-3 Classwork

Homework: Finish Precalc Lesson 5-1 to 5-3 Homework

All for Grade Check

Exponent and Logarithms Embedded Assessment on Monday

Activity 4

Exponential Functions

4-1 Learning Targets:

  • Write, graph, analyze, and model with exponential functions.
  • Solve exponential equations.

4-2 Learning Targets:

  • Write, graph, analyze, and model with exponential functions.
  • Calculate compound interest.
  • Solve exponential equations.

4-3 Learning Targets:

  • Write, graph, analyze, and model with exponential functions.
  • Calculate compound interest.
  • Solve exponential equations.
 Exponential Functions and Equations
Exponential growth functions

Graphing exponential functions

Solving exponential equation
Modeling with Exponential Functions
Exponential growth and decay word problems

Decay of cesium 137 example

Modeling ticket fines with exponential function
Compound Interest
Introduction to compound interest and e

Compound interest and e (part 2)

Compound interest and e (part 3)

Compound interest and e (part 4)
Activity 5

Logarithms

5-1 Learning Targets:

  • Explore the inverse relationship between exponents and logarithms.
  • Graph logarithmic functions and analyze key features of the graphs.

5-2 Learning Targets:

  • Apply the Change of Base Formula.
  • Use properties of logarithms to evaluate and transform expressions.

5-3 Learning Targets:

  • Solve exponential equations by taking the logarithm of both sides.
  • Use properties of exponents and logarithms to solve logarithmic equations.

 

 Common and Natural Logarithms
Comparing exponential and logarithmic functions

Graphing logarithmic functions

Matching functions to their graphs

Graphs of logarithmic functions
Using Properties and the Change of Base Formula
Introduction to logarithm properties

Introduction to logarithm properties (part 2)

Logarithm of a power

Sum of logarithms with same base

Using multiple logarithm properties to simplify

Change of base formula
Solving Logarithmic Equations
Solving exponential equation with logarithm

Solving exponential equation

Solving logarithmic equations

Solving logarithmic equations
Algebra 2

Sept 25 Algebra 2 Quiz 6/5.3 More Composite Functions

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Quiz 6: Equation of a Line Given Two Points, Absolute Value Transformation

Quiz 6 Eq Given Two Points Abs Value

Grade Check

Classwork Act 5.3 More Composite Functions

Alg 2 Classwork Lesson 5-3

Bring Act 6 Monday- Inverse Fucntions

KhanAcademy????

Homework: Finish Act 5 Assignments p 87-88 1-36

Alg 2 Homework Lesson 5-1 to 5-3

Activity 5

Function Composition and Operations

5-1 Learning Targets:

  • Combine functions using arithmetic operations.
  • Build functions that model real-world scenarios.

5-2 Learning Targets:

  • Write functions that describe the relationship between two quantities.
  • Explore the composition of two functions through a real-world scenario.

5-3 Learning Targets:

  • Write the composition of two functions.
  • Evaluate the composition of two functions.
 Operations with Functions
Sum of functions

Difference of functions

Product of functions

Quotient of functions
Composition of Functions
Introduction to function composition

Creating new function from composition

Evaluating composite functions example

Modeling with function composition