Chapter 10-11 Notes 4

Microsoft Team Meeting Link

Topics Covered:

  • Finding the next terms of a geometric sequence with signed numbers

  • Identifying arithmetic and geometric sequences

  • Identifying geometric sequences and finding the common ratio

  • Finding a specified term of a geometric sequence given the first terms

  • Finding a specified term of a geometric sequence given the common ratio and first term

  • Finding a specified term of a geometric sequence given two terms of the sequence

  • Arithmetic and geometric sequences: Identifying and writing an explicit rule

  • Sum of the first n terms of a geometric sequence

  • Sum of an infinite geometric series

Video of the Lesson

Chapter 10-11 Notes 3

Microsoft Teams Meeting Link

Topics covered in todays lesson:

  • Finding the first terms of an arithmetic sequence using an explicit rule

  • Finding the first terms of a geometric sequence using an explicit rule

  • Finding the first terms of a sequence using an explicit rule with multiple occurrences of n

  • Finding the first terms of a sequence using a recursive rule

  • Factorial expressions

  • Finding the next terms of an arithmetic sequence with integers

  • Identifying arithmetic sequences and finding the common difference

  • Finding a specified term of an arithmetic sequence given the first terms

  • Finding a specified term of an arithmetic sequence given the common difference and first term

  • Finding a specified term of an arithmetic sequence given two terms of the sequence

  • Writing an explicit rule for an arithmetic sequence

  • Sum of the first n terms of an arithmetic sequence

Video of the Lesson

Chapter 10-11 Notes 2

Microsoft Teams Link

Topic List:

  • Range of a quadratic function

  • Graphing a parabola of the form y2 = ax or x2 = ay

  • Graphing a parabola of the form ay2 + by + cx + d = 0 or ax2 + bx + cy + d = 0

  • Writing an equation of a parabola given the vertex and the focus

  • Writing an equation of a parabola given the focus and the directrix

  • Finding the focus of a parabola of the form ay2 + by + cx + d = 0 or ax2 + bx + cy + d = 0

  • Writing an equation of a parabola given its graph

  • Classifying conics given their equations

  • Graphically solving a system of linear and quadratic equations

  • Solving a system of linear and quadratic equations

  • Solving a system of nonlinear equations: Problem type 1

  • Solving a system of nonlinear equations: Problem type 2

  • Plotting points in polar coordinates

  • Converting rectangular coordinates to polar coordinates: Special angles

Chapter 10-11 Notes 1

Microsoft Team Meeting Link

Topics Covered tonight:

  • Identifying the center and radius to graph a circle given its equation in standard form

  • Identifying the center and radius to graph a circle given its equation in general form: Basic

  • Writing the equation of a circle centered at the origin given its radius or a point on the circle

  • Writing an equation of a circle given its center and a point on the circle

  • Writing an equation of a circle given the endpoints of a diameter

  • Graphing an ellipse given its equation in standard form

  • Graphing an ellipse centered at the origin: Ax2 + By2 = C

  • Graphing an ellipse given its equation in general form

  • Finding the center, vertices, and foci of an ellipse

  • Finding the foci of an ellipse given its equation in general form

  • Writing an equation of an ellipse given the center, an endpoint of an axis, and the length of the other axis

  • Writing an equation of an ellipse given the foci and the major axis length

  • Graphing a hyperbola given its equation in standard form

  • Graphing a hyperbola centered at the origin: Ax2 + By2 = C

  • Graphing a hyperbola given its equation in general form

  • Finding the center, vertices, foci, and asymptotes of a hyperbola

  • Finding the foci of a hyperbola given its equation in general form

  • Writing an equation of a hyperbola given the foci and the vertices

Chapter 7 Lesson 3

Microsoft Team Meeting Link

Topic List:

  • Finding solutions in an interval for a trigonometric equation in factored form

  • Finding solutions in an interval for a trigonometric equation with a squared function: Problem type 2

  • Finding solutions in an interval for a trigonometric equation using Pythagorean identities: Problem type 1

  • Finding solutions in an interval for an equation with sine and cosine using sum and difference identities

  • Finding values of trigonometric functions given information about an angle: Problem type 4

  • Composition of a trigonometric function with its inverse trigonometric function: Problem type 2

  • Solving a trigonometric equation involving more than one function

Chapter 7 Lesson 2

Microsoft Teams Meeting

Topic List

  • Values of inverse trigonometric functions

  • Composition of a trigonometric function with its inverse trigonometric function: Problem type 1

  • Composition of a trigonometric function with the inverse of another trigonometric function: Problem type 1

  • Composition of a trigonometric function with the inverse of another trigonometric function: Problem type 2

  • Composition of trigonometric functions with variable expressions as inputs: Problem type 1

  • Composition of trigonometric functions with variable expressions as inputs: Problem type 2

  • Using a calculator to approximate inverse trigonometric values

  • Finding solutions in an interval for a basic equation involving sine or cosine

  • Finding solutions in an interval for a basic tangent, cotangent, secant, or cosecant equation

  • Solving a basic trigonometric equation involving sine or cosine

  • Solving a basic trigonometric equation involving tangent, cotangent, secant, or cosecant

  • Finding solutions in an interval for a trigonometric equation with a squared function: Problem type 1

  • Solving a trigonometric equation involving a squared function: Problem type 1

  • Solving a trigonometric equation involving an angle multiplied by a constant

  • Finding solutions in an interval for a trigonometric equation with an angle multiplied by a constant

Chapter 7 Lesson 1

Team Meeting Link

Trig Cheat Sheet

Topic List

  • Using a calculator to approximate inverse trigonometric values

  • Finding values of trigonometric functions given information about an angle: Problem type 2

  • Finding values of trigonometric functions given information about an angle: Problem type 3

  • Simplifying trigonometric expressions

  • Verifying a trigonometric identity

  • Verifying a trigonometric identity

  • Proving trigonometric identities: Problem type 1

  • Proving trigonometric identities: Problem type 2

  • Proving trigonometric identities: Problem type 3

  • Sum and difference identities: Problem type 1

  • Sum and difference identities: Problem type 2

  • Proving trigonometric identities using sum and difference properties: Problem type 1

  • Proving trigonometric identities using sum and difference properties: Problem type 2

  • Double-angle identities: Problem type 1

  • Half-angle identities: Problem type 1

Chapter 6 Lesson 3

Topic List

  • ·         Using a calculator to approximate sine, cosine, and tangent values

  • ·         Sine, cosine, and tangent ratios: Numbers for side lengths

  • ·         Using the Pythagorean Theorem to find a trigonometric ratio

  • ·         Finding trigonometric ratios given a right triangle

  • ·         Using a trigonometric ratio to find a side length in a right triangle

  • ·         Using trigonometry to find a length in a word problem with one right triangle

  • ·         Using a trigonometric ratio to find an angle measure in a right triangle

  • ·         Using trigonometry to find angles of elevation or depression in a word problem

  • ·         Solving a right triangle

  • ·         Using trigonometry to find a length in a word problem with two right triangles

  • ·         Using a calculator to approximate inverse trigonometric values

  • ·         Determining the location of a terminal point given the signs of trigonometric values

  • ·         Finding values of trigonometric functions given information about an angle: Problem type 1

  • ·         Special right triangles: Exact answers

  • ·         Understanding trigonometric ratios through similar right triangles

  • ·         Relationship between the sines and cosines of complementary angles

  • ·         Using a calculator to approximate inverse trigonometric values

Chapter 6 Lesson 2

Topic List

  • ·         Sketching the graph of y= a sin(x) or y= a cos(x)

  • ·         Sketching the graph of y= sin(bx) or y= cos(bx)

  • ·         Sketching the graph of y= a sin(bx) or y= a cos(bx)

  • ·         Amplitude and period of sine and cosine functions

  • ·         Writing the equation of a sine or cosine function given its graph: Problem type 1

  • ·         Domains and ranges of trigonometric functions

  • ·         Sketching the graph of a tangent or cotangent function: Problem type 2

  • ·         Sketching the graph of y= sin(x)+ d or y= cos(x)+ d

  • ·         Sketching the graph of y= sin(x+c) or y= cos(x+c)

  • ·         Sketching the graph of y= a sin(x+c) or y= a cos(x+c)

  • ·         Sketching the graph of y= a sin(bx+c) or y= a cos(bx+c)

  • ·         Sketching the graph of y= a sin(bx)+ d or y= a cos(bx)+ d

  • ·         Amplitude, period, and phase shift of sine and cosine functions

  • ·         Writing the equation of a sine or cosine function given its graph: Problem type 2

Chapter 6 Lesson 1

Topic List for the class:

  • ·         Converting degrees-minutes-seconds to decimal degrees

  • ·         Converting a decimal degree to degrees-minutes-seconds

  • ·         Converting between degree and radian measure: Problem type 1

  • ·         Converting between degree and radian measure: Problem type 2

  • ·         Coterminal angles

  • ·         Arc length and central angle measure

  • ·         Area of a sector of a circle

  • ·         Sketching an angle in standard position

  • ·         Finding coordinates on the unit circle for special angles

  • ·         Finding a point on the unit circle given one coordinate

  • ·         Trigonometric functions and special angles: Problem type 1

  • ·         Trigonometric functions and special angles: Problem type 2

  • ·         Trigonometric functions and special angles: Problem type 3

  • ·         Reference angles: Problem type 1

  • ·         Reference angles: Problem type 2

Chapter 1-5 Section 1 Lesson 5

Here are the topics we are covering tonight

  • Solving an equation of the form logba = c

  • Basic properties of logarithms

  • Expanding a logarithmic expression: Problem type 1

  • Writing an expression as a single logarithm

  • Change of base for logarithms: Problem type 1

  • Solving a multi-step equation involving a single logarithm: Problem type 1

  • Solving an exponential equation by using natural logarithms: Decimal answers

  • Evaluating an exponential function with base e that models a real-world situation

  • Solving a multi-step equation involving natural logarithms

  • Solving an equation involving logarithms on both sides: Problem type 1

  • Solving an equation involving logarithms on both sides: Problem type 2

  • Finding a final amount in a word problem on exponential growth or decay

  • Finding the time given an exponential function with base e that models a real-world situation

  • Finding the rate or time in a word problem on continuous exponential growth or decay

  • Finding half-life or doubling time

  • Writing and evaluating a function modeling continuous exponential growth or decay given doubling time or half-life

  • Writing an equation that models exponential growth or decay

  • Writing an exponential function rule given a table of ordered pairs

Chapter 1-5 Section 1 Lesson 4

Here are the topics we will be covering in this class time

  • Inverse functions: Quadratic, square root

  • Inverse functions: Rational

  • Table for an exponential function

  • Graphing an exponential function and its asymptote: f(x)=bx

  • Graphing an exponential function and its asymptote: f(x) = a(b)x

  • Finding domain and range from the graph of an exponential function

  • The graph, domain, and range of an exponential function

  • Transforming the graph of a natural exponential function

  • Graphing an exponential function and its asymptote: f(x) = a(e)x-b + c

  • Evaluating an exponential function that models a real-world situation

  • Finding a final amount in a word problem on exponential growth or decay

  • Solving an exponential equation by finding common bases: Linear exponents

  • Converting between logarithmic and exponential equations

  • Converting between natural logarithmic and exponential equations

  • Evaluating logarithmic expressions

  • Translating the graph of a logarithmic function

  • Graphing a logarithmic function: Basic

  • The graph, domain, and range of a logarithmic function

Chapter 1-5 Section 1 Lesson 3

Here is the list of topics we will cover

  • Inverse functions: Quadratic, square root

  • Inverse functions: Rational

  • Table for an exponential function

  • Graphing an exponential function and its asymptote: f(x)=bx

  • Graphing an exponential function and its asymptote: f(x) = a(b)x

  • Finding domain and range from the graph of an exponential function

  • The graph, domain, and range of an exponential function

  • Transforming the graph of a natural exponential function

  • Graphing an exponential function and its asymptote: f(x) = a(e)x-b + c

  • Evaluating an exponential function that models a real-world situation

  • Finding a final amount in a word problem on exponential growth or decay

  • Solving an exponential equation by finding common bases: Linear exponents

  • Converting between logarithmic and exponential equations

  • Converting between natural logarithmic and exponential equations

  • Evaluating logarithmic expressions

  • Translating the graph of a logarithmic function

  • Graphing a logarithmic function: Basic

  • The graph, domain, and range of a logarithmic function


Chapter 1-5 Section 1 Lesson 2

Topics for tonight’s class:

  • Vertical line test

  • Finding the vertex, intercepts, and axis of symmetry from the graph of a parabola

  • Finding where a function is increasing, decreasing, or constant given the graph: Interval notation

  • Graphing a piecewise-defined function: Problem type 1

  • Graphing a piecewise-defined function: Problem type 2

  • Graphing a piecewise-defined function: Problem type 3

  • Graphing a square root function: Problem type 1

  • Graphing a square root function: Problem type 2

  • How the leading coefficient affects the graph of an absolute value function

  • How the leading coefficient affects the shape of a parabola

  • Identifying functions from relations

  • Matching parent graphs with their equations

  • Transforming the graph of a function by reflecting over an axis

  • Transforming the graph of a function using more than one transformation

  • Writing an equation for a function after a vertical and horizontal translation

  • Writing the equations of vertical and horizontal lines through a given point

Chapter 1-5 Section 1 Lesson 1

Here are the topics that will cover in tonight’s meeting

  • Evaluating a piecewise-defined function

  • Evaluating functions: Absolute value, rational, radical

  • Finding an output of a function from its graph

  • Finding inputs and outputs of a function from its graph

  • Finding values and intervals where the graph of a function is zero, positive, or negative

  • Distance between two points in the plane: Exact answers

  • Domain and range from the graph of a continuous function

  • Domain and range from the graph of a discrete relation

  • Domain and range from the graph of a piecewise function

  • Domain and range from the graph of a quadratic function

  • Domain of a rational function: Excluded values

  • Domain of a rational function: Interval notation

  • Domain of a square root function: Advanced

  • Domain of a square root function: Basic

  • Finding the domain of a fractional function involving radicals

Classes going Forward

We have completed all the topics in the program. So I will not have recorded classes after today. I will be on for office hours to help on any topics you might need to go back and look at and I will be doing to review lessons for the upcoming tests.

Teams Meeting Link

November 23rd - Office Hours from 6-7:30

November 25th - No Class

November 30th - Review for Chapter 10-11 Test (can start it on November 18th)

December 2nd - No Class Do your Test for Chapter 10-11

December 7th - Final Exam Review Class

December 9th - Office Hours from 6-7:30

December 14th - No Class take your Final Exam (Can start as soon as November 30th)

All Topics must be completed before Midnight on December 14th. Your final pie percentage which is 40% of your grade will be calculated at that time.

October 7th Class

Microsoft Teams Meeting Link

We will be doing the Review for the Chapter 6 test on October 7th. This class will not be recorded.

Chapter 6 test is due on October 14th. You can do it at anytime just send me an email for the password.

Also we will not have class next Monday the 12th or Wednesday the 14th. Use this time to catch up on topics. If you are behind send me an email and I will unlock the section you want to work on next week otherwise you can go ahead and work on Chapter 7 topics.