Канал: Karie E Kosh

AP PreCal 1.3 (24-25) Passwater's notes

AP PreCal 1.3 (24-25) Passwater's notes

AP PreCal 1.2 (24-25) Passwater's notes

AP PreCal 1.2 (24-25) Passwater's notes

AP PreCal 1.1 (24-25) Passwater's notes video two of two

AP PreCal 1.1 (24-25) Passwater's notes video two of two

AP PreCal 1.1 (24-25) Passwater's notes video one of two

AP PreCal 1.1 (24-25) Passwater's notes video one of two

AP PreCal 1.1-1.3 (24-25) video four of four

AP PreCal 1.1-1.3 (24-25) video four of four

AP PreCal 1.1-1.3 (24-25) video three of four

AP PreCal 1.1-1.3 (24-25) video three of four

AP PreCal 1.1-1.3 (24-25) video two of four

AP PreCal 1.1-1.3 (24-25) video two of four

AP PreCal 1.1-1.3 (24-25) video one of four

AP PreCal 1.1-1.3 (24-25) video one of four

Probability with Combinations and Permutations

Probability with Combinations and Permutations

AP PreCal FRQ 3 and 4 from 2024

AP PreCal FRQ 3 and 4 from 2024

AP PreCal FRQ 1 and 2 from 2024

AP PreCal FRQ 1 and 2 from 2024

Prior Knowledge for AP PreCal and IB Math (3rd of 3 videos)

Prior Knowledge for AP PreCal and IB Math (3rd of 3 videos)

Prior Knowledge for AP PreCal and IB Math (2nd of 3 videos)

Prior Knowledge for AP PreCal and IB Math (2nd of 3 videos)

Prior Knowledge for AP PreCal and IB Math (1st of 3 videos)

Prior Knowledge for AP PreCal and IB Math (1st of 3 videos)

Follow Up... AP PreCal MCQ Review Unit 3, video 11 (part 2)

Follow Up... AP PreCal MCQ Review Unit 3, video 11 (part 2)

AP PreCal MCQ Review Unit 3, video 11

AP PreCal MCQ Review Unit 3, video 11

AP PreCal MCQ Review Unit 3, video 10

AP PreCal MCQ Review Unit 3, video 10

Follow Up... AP PreCal MCQ Review Unit 3, video 9 (part 2)

Follow Up... AP PreCal MCQ Review Unit 3, video 9 (part 2)

AP PreCal MCQ Review Unit 3, video 9

AP PreCal MCQ Review Unit 3, video 9

AP PreCal MCQ Review Unit 3, video 8

AP PreCal MCQ Review Unit 3, video 8

AP PreCal MCQ Review Unit 3, video 7

AP PreCal MCQ Review Unit 3, video 7

AP PreCal MCQ Review Unit 3, video 6

AP PreCal MCQ Review Unit 3, video 6

AP PreCal MCQ Review Unit 3, video 5

AP PreCal MCQ Review Unit 3, video 5

Series to supplement AP PreCal (3rd of 3 videos)

Series to supplement AP PreCal (3rd of 3 videos)

Series to supplement AP PreCal (1st of 3 videos)

Series to supplement AP PreCal (1st of 3 videos)

Series to supplement AP PreCal (2nd of 3 videos)

Series to supplement AP PreCal (2nd of 3 videos)

AP PreCal MCQ Review Unit 3, video 4

AP PreCal MCQ Review Unit 3, video 4

AP PreCal MCQ Review Unit 3, video 3

AP PreCal MCQ Review Unit 3, video 3

AP PreCal MCQ Review Unit 3, video 2

AP PreCal MCQ Review Unit 3, video 2

AP PreCal MCQ Review Unit 3, video 1

AP PreCal MCQ Review Unit 3, video 1

AP PreCal MCQ Review Unit 2, video 7

AP PreCal MCQ Review Unit 2, video 7

AP PreCal MCQ Review Unit 2, video 6

AP PreCal MCQ Review Unit 2, video 6

AP PreCal FRQ2 revisited

AP PreCal FRQ2 revisited

AP PreCal MCQ Review Unit 2, video 5

AP PreCal MCQ Review Unit 2, video 5

AP PreCal MCQ Review Unit 2, video 4

AP PreCal MCQ Review Unit 2, video 4

AP PreCal MCQ Review Unit 2, video 3

AP PreCal MCQ Review Unit 2, video 3

AP PreCal MCQ Review Unit 2, video 2

AP PreCal MCQ Review Unit 2, video 2

AP PreCal MCQ Review Unit 2, video 1

AP PreCal MCQ Review Unit 2, video 1

AP PreCal MCQ Review Unit 1, video 10

AP PreCal MCQ Review Unit 1, video 10

AP PreCal MCQ Review Unit 1, video 9

AP PreCal MCQ Review Unit 1, video 9

AP PreCal MCQ Review Unit 1, video 8

AP PreCal MCQ Review Unit 1, video 8

AP PreCal MCQ Review Unit 1, video 7

AP PreCal MCQ Review Unit 1, video 7

AP PreCal FRQ2 from Kosh Set 3

AP PreCal FRQ2 from Kosh Set 3

AP PreCal MCQ Review Unit 1, video 6

AP PreCal MCQ Review Unit 1, video 6

AP PreCal MCQ Review Unit 1, video 5

AP PreCal MCQ Review Unit 1, video 5

AP PreCal MCQ Review Unit 1, video 4

AP PreCal MCQ Review Unit 1, video 4

AP PreCal MCQ Review Unit 1, video 3

AP PreCal MCQ Review Unit 1, video 3

AP PreCal MCQ Review Unit 1, video 2

AP PreCal MCQ Review Unit 1, video 2

AP PreCal MCQ Review Unit 1, video 1

AP PreCal MCQ Review Unit 1, video 1

AP PreCAL Kosh FRQ #4

AP PreCAL Kosh FRQ #4

AP PreCAL Kosh FRQ #2

AP PreCAL Kosh FRQ #2

AP PreCAL Kosh FRQ #3

AP PreCAL Kosh FRQ #3

AP PreCAL Kosh FRQ #1

AP PreCAL Kosh FRQ #1

Finding obtuse angles with the law of cosines

Finding obtuse angles with the law of cosines

AP PreCal 3.15 (version 2, video 3)

AP PreCal 3.15 (version 2, video 3)

AP PreCal 3.15 (version 2, video 2)

AP PreCal 3.15 (version 2, video 2)

AP PreCal 3.15 (version 2, video 1)

AP PreCal 3.15 (version 2, video 1)

AP PreCal 3.14 Graphing Polar Functions (multiple choice)

AP PreCal 3.14 Graphing Polar Functions (multiple choice)

AP PreCal 3.12 again...

AP PreCal 3.12 again...

AP PreCal 3.13 (version 3) Polar Coordinates

AP PreCal 3.13 (version 3) Polar Coordinates

AP PreCal 3.13 EXTENSION

AP PreCal 3.13 EXTENSION

AP PreCal 3.15 - Polar Rates of Change - Average Rate of Change

AP PreCal 3.15 - Polar Rates of Change - Average Rate of Change

AP PreCal 3.15 - Polar Rates of Change - finding extrema

AP PreCal 3.15 - Polar Rates of Change - finding extrema

AP PreCal 3.15 Polar Rates of Change - is r increasing or decreasing?

AP PreCal 3.15 Polar Rates of Change - is r increasing or decreasing?

AP PreCal 3.12 (version 3, video 3)

AP PreCal 3.12 (version 3, video 3)

AP PreCal 3.12 (version 3, video 1)

AP PreCal 3.12 (version 3, video 1)

AP PreCal 3.12 (version 3, video 2)

AP PreCal 3.12 (version 3, video 2)

AP PreCal 3.14 Graphing Polar curves by hand and Desmos (version 1, video 3)

AP PreCal 3.14 Graphing Polar curves by hand and Desmos (version 1, video 3)

AP PreCal 3.14 Graphing Polar with Desmos (version 1, video 2)

AP PreCal 3.14 Graphing Polar with Desmos (version 1, video 2)

AP PreCal 3.14 Graphing Polar curves by hand (version 1, video 1)

AP PreCal 3.14 Graphing Polar curves by hand (version 1, video 1)

AP PreCal 3.11 Reciprocal Trig Graphs (version 2, video 1)

AP PreCal 3.11 Reciprocal Trig Graphs (version 2, video 1)

AP PreCal 3.11 Reciprocal Trig Equations (version 2, video 2)

AP PreCal 3.11 Reciprocal Trig Equations (version 2, video 2)

AP PreCal 3.9 and 3.10 working with trig functions

AP PreCal 3.9 and 3.10 working with trig functions

AP PreCal 3.13: Introducing Polar Coordinates and Complex Numbers (version 2, video 2)

AP PreCal 3.13: Introducing Polar Coordinates and Complex Numbers (version 2, video 2)

AP PreCal 3.13: Introducing Polar Coordinates and Complex Numbers (version 1, video 3)

AP PreCal 3.13: Introducing Polar Coordinates and Complex Numbers (version 1, video 3)

AP PreCal 3.13: Introducing Polar Coordinates (version 2, video 1)

AP PreCal 3.13: Introducing Polar Coordinates (version 2, video 1)

AP PreCal 3.13: Introducing Polar Coordinates (version 1, video 2)

AP PreCal 3.13: Introducing Polar Coordinates (version 1, video 2)

AP PreCal 3.13: Introducing Polar Coordinates (version 1, video 1)

AP PreCal 3.13: Introducing Polar Coordinates (version 1, video 1)

Study (trig identities!!) until the ice melts

Study (trig identities!!) until the ice melts

AP PreCal 3.10 Trig Inequalities (version 2, video 2)

AP PreCal 3.10 Trig Inequalities (version 2, video 2)

AP PreCal 3.10 Trig Inequalities (version 2, video 1)

AP PreCal 3.10 Trig Inequalities (version 2, video 1)

AP PreCal 3.10 Trig Equations (version 2)

AP PreCal 3.10 Trig Equations (version 2)

AP PreCal 3.9 Inverse Trig Functions (version 2)

AP PreCal 3.9 Inverse Trig Functions (version 2)

AP PreCal 3.8 (Tangent Functions) version 2

AP PreCal 3.8 (Tangent Functions) version 2

Trig Induction - double angles

Trig Induction - double angles

AP PreCal 3.6 (version 2, video 2)

AP PreCal 3.6 (version 2, video 2)

AP PreCal 3.6 (version 2, video 1)

AP PreCal 3.6 (version 2, video 1)

AP PreCal 3.4-3.5 (version 2, video 2)

AP PreCal 3.4-3.5 (version 2, video 2)

AP PreCal 3.4-3.5 (version 2, video 1)

AP PreCal 3.4-3.5 (version 2, video 1)

AP PreCal - Solving Trig Inequalities with Identities (2nd of 2 videos)

AP PreCal - Solving Trig Inequalities with Identities (2nd of 2 videos)

AP PreCal - Solving Trig Inequalities with Identities (1st of 2 videos)

AP PreCal - Solving Trig Inequalities with Identities (1st of 2 videos)

What's the inverse of an inverse trig function??

What's the inverse of an inverse trig function??

AP PreCal 3.12 (4th of 4 videos)

AP PreCal 3.12 (4th of 4 videos)

AP PreCal 3.12 (3rd of 4 videos)

AP PreCal 3.12 (3rd of 4 videos)

AP PreCal 3.12 (2nd of 4 videos)

AP PreCal 3.12 (2nd of 4 videos)

AP PreCal 3.12 (1st of 4 videos)

AP PreCal 3.12 (1st of 4 videos)

AP PreCal 3.7 Modeling with Trig (follow up video)

AP PreCal 3.7 Modeling with Trig (follow up video)

AP PreCal 3.7 Modeling with Trig

AP PreCal 3.7 Modeling with Trig

Using the Unit Circle to Understand Inverse Trig

Using the Unit Circle to Understand Inverse Trig

AP PreCal 3.3 Unit Circle (version 2, video 1)

AP PreCal 3.3 Unit Circle (version 2, video 1)

AP PreCal 3.3 Unit Circle (version 2, video 2)

AP PreCal 3.3 Unit Circle (version 2, video 2)

AP PreCal 3.7 - Trig Regression with a calculator

AP PreCal 3.7 - Trig Regression with a calculator

AP PreCal 3.7 Harmonic Motion

AP PreCal 3.7 Harmonic Motion

AP PreCal 3.7 Modeling with Sine and/or Cosine

AP PreCal 3.7 Modeling with Sine and/or Cosine

AP PreCal 3.2 (version 2, part 2)

AP PreCal 3.2 (version 2, part 2)

AP PreCal 3.2 (version 2 part 1)

AP PreCal 3.2 (version 2 part 1)

AP PreCal FRQ 3 (wall clock)

AP PreCal FRQ 3 (wall clock)

AP PreCal 3.1 Periodic Phenomena (version2, video 2)

AP PreCal 3.1 Periodic Phenomena (version2, video 2)

AP PreCal 3.1 Periodic Phenomena (version2, video 1)

AP PreCal 3.1 Periodic Phenomena (version2, video 1)

AP PreCal 3.10 Trig Inequalities (video 3)

AP PreCal 3.10 Trig Inequalities (video 3)

AP PreCal 3.10 Trig Inequalities (video 2)

AP PreCal 3.10 Trig Inequalities (video 2)

AP PreCal 3.10 Trig Inequalities (video 1)

AP PreCal 3.10 Trig Inequalities (video 1)

AP PreCal 3.10 Trig Equations (video 2)

AP PreCal 3.10 Trig Equations (video 2)

AP PreCal 3.10 Solving Trig Equations (video 1)

AP PreCal 3.10 Solving Trig Equations (video 1)

AP PreCal 3.9 Transforming Inverse Trig Functions (part 2)

AP PreCal 3.9 Transforming Inverse Trig Functions (part 2)

AP PreCal 3.9 Inverse Trig Functions

AP PreCal 3.9 Inverse Trig Functions

Trig Transformations for AP PreCal (part 4)

Trig Transformations for AP PreCal (part 4)

Trig Transformations for AP PreCal (part 3)

Trig Transformations for AP PreCal (part 3)

Trig Transformations for AP PreCal (part 2)

Trig Transformations for AP PreCal (part 2)

Trig Transformations for AP PreCal (part 1)

Trig Transformations for AP PreCal (part 1)

Reciprocal trig and the unit circle 3.8 and 3.11

Reciprocal trig and the unit circle 3.8 and 3.11

Summarizing Graphing Sine and Cosine (3.4)

Summarizing Graphing Sine and Cosine (3.4)

Sinusoidal Functions (part 2) section 3.5 for AP PreCal

Sinusoidal Functions (part 2) section 3.5 for AP PreCal

Periodic Phenomena for AP PreCal (3.1)

Periodic Phenomena for AP PreCal (3.1)

Teacher vs. Teacher!

Teacher vs. Teacher!

Using the unit circle when the radius changes (AP PreCal 3.2 and 3.3) 2nd of 3 videos

Using the unit circle when the radius changes (AP PreCal 3.2 and 3.3) 2nd of 3 videos

Using the unit circle when the radius changes (AP PreCal 3.2 and 3.3) 3rd of 3 videos

Using the unit circle when the radius changes (AP PreCal 3.2 and 3.3) 3rd of 3 videos

Using the unit circle when the radius changes (AP PreCal 3.2 and 3.3) 1st of 3 videos

Using the unit circle when the radius changes (AP PreCal 3.2 and 3.3) 1st of 3 videos

Tangent values on the unit circle

Tangent values on the unit circle

Using the Unit Circle in AP PreCal

Using the Unit Circle in AP PreCal

Regression and Residuals for the Unit 2 review (video 2 of 2)

Regression and Residuals for the Unit 2 review (video 2 of 2)

Regression and Residuals for the Unit 2 review (video 1 of 2)

Regression and Residuals for the Unit 2 review (video 1 of 2)

Semi-log plots and desmos

Semi-log plots and desmos

Semi-Log Plots for AP PreCal (video 2 of 2)

Semi-Log Plots for AP PreCal (video 2 of 2)

Semi-Log Plots for AP PreCal (video 1 of 2)

Semi-Log Plots for AP PreCal (video 1 of 2)

Log Function Context and Data Modeling (2nd of two videos)

Log Function Context and Data Modeling (2nd of two videos)

Log Function Context and Data Modeling (1st of two videos)

Log Function Context and Data Modeling (1st of two videos)

Exponential and Logarithmic Equations and Inequalities (Part 4)

Exponential and Logarithmic Equations and Inequalities (Part 4)

Exponential and Logarithmic Equations and Inequalities (Part 5)

Exponential and Logarithmic Equations and Inequalities (Part 5)

Exponential and Logarithmic Equations and Inequalities (Part 3)

Exponential and Logarithmic Equations and Inequalities (Part 3)

Exponential and Logarithmic Equations and Inequalities (Part 2)

Exponential and Logarithmic Equations and Inequalities (Part 2)

Exponential and Logarithmic Equations and Inequalities (Part 1)

Exponential and Logarithmic Equations and Inequalities (Part 1)

Log Function Manipulation

Log Function Manipulation

Logarithmic Functions

Logarithmic Functions

Inverse of Exponential Functions

Inverse of Exponential Functions

Introducing Logs for AP PreCal

Introducing Logs for AP PreCal

(SILENT VIDEO...) CASIO regression and residual help

(SILENT VIDEO...) CASIO regression and residual help

Residuals (2nd of two videos)

Residuals (2nd of two videos)

Residuals (1st of two videos)

Residuals (1st of two videos)

Exponential Models (2nd of 3)

Exponential Models (2nd of 3)

Exponential Models (3rd of 3)

Exponential Models (3rd of 3)

Exponential Models (1st of 3)

Exponential Models (1st of 3)

Exponential Function Manipulation for AP PreCal

Exponential Function Manipulation for AP PreCal

Exponential Functions for AP PreCal

Exponential Functions for AP PreCal

Exponential Function Manipulation with Desmos

Exponential Function Manipulation with Desmos

Geometric Sequence Challenge for AP PreCal (7th videeo)

Geometric Sequence Challenge for AP PreCal (7th videeo)

Geometric Sequences for AP PreCal (4th video)

Geometric Sequences for AP PreCal (4th video)

Arithmetic Challenge for AP PreCal (6th video)

Arithmetic Challenge for AP PreCal (6th video)

Summarizing Sequences for AP PreCal (5th video)

Summarizing Sequences for AP PreCal (5th video)

Geometric Sequences for AP PreCal (3rd video)

Geometric Sequences for AP PreCal (3rd video)

Arithmetic Sequences for AP PreCal (2nd video)

Arithmetic Sequences for AP PreCal (2nd video)

Arithmetic Sequences for AP PreCal (1st video)

Arithmetic Sequences for AP PreCal (1st video)

Inverse Functions for AP PreCal (3 out of 3)

Inverse Functions for AP PreCal (3 out of 3)

Function Operations and Composition for AP PreCal (1 out of 3)

Function Operations and Composition for AP PreCal (1 out of 3)

Function Composition word problem for AP PreCal (2 out of 3)

Function Composition word problem for AP PreCal (2 out of 3)

Function Models for AP PreCal (2 of 3)

Function Models for AP PreCal (2 of 3)

Function Models for AP PreCal (3 of 3)

Function Models for AP PreCal (3 of 3)

Transformation of Functions for AP PreCal

Transformation of Functions for AP PreCal

Function Models for AP PreCal (1 of 3)

Function Models for AP PreCal (1 of 3)

More transformations for AP PreCal

More transformations for AP PreCal

Finding the slant asymptote

Finding the slant asymptote

Equivalent Relationships with Rational Functions

Equivalent Relationships with Rational Functions

Rational Inequalities

Rational Inequalities

Limit notation with rationals (part 2)

Limit notation with rationals (part 2)

Limit notation in rational functions

Limit notation in rational functions

Vertical Asymptotes, Holes, and Zeros (part 1)

Vertical Asymptotes, Holes, and Zeros (part 1)

End Behavior of Rational Functions

End Behavior of Rational Functions

Graphing Polynomials with your CASIO

Graphing Polynomials with your CASIO

Sign diagrams and polynomial inequalities

Sign diagrams and polynomial inequalities

Determining the degree of a polynomial

Determining the degree of a polynomial

Polynomials: zeros, multiplicity, and complex roots

Polynomials: zeros, multiplicity, and complex roots

Polynomials - extrema, inflection points, even and odd functions

Polynomials - extrema, inflection points, even and odd functions

Polynomial End Behavior

Polynomial End Behavior

Binomial Expansion - an extension (part 3 of 3)

Binomial Expansion - an extension (part 3 of 3)

Binomial Expansion - the backstory (part 1 of 3)

Binomial Expansion - the backstory (part 1 of 3)

Binomial Expansion - the first two examples (part 2 of 3)

Binomial Expansion - the first two examples (part 2 of 3)

Dividing Polynomials

Dividing Polynomials

Rates of Change (part 1)

Rates of Change (part 1)

Rates of Change (part 2)

Rates of Change (part 2)

AROC (day 2, part 3)

AROC (day 2, part 3)

AROC - Average Rate of Change (day 1, part 1)

AROC - Average Rate of Change (day 1, part 1)

AROC - Average Rate of Change (day 2, part 1)

AROC - Average Rate of Change (day 2, part 1)

AROC - Average Rate of Change (day 2, part 2)

AROC - Average Rate of Change (day 2, part 2)

AROC - Average Rate of Change (day 1, part 2)

AROC - Average Rate of Change (day 1, part 2)

Finding Outliers

Finding Outliers

Cumulative Frequency

Cumulative Frequency

Interquartile Range

Interquartile Range

Standard Deviation

Standard Deviation

1 variable statistics and your CASIO

1 variable statistics and your CASIO

Parametric, Trig, AND conics… all in one problem!

Parametric, Trig, AND conics… all in one problem!