Algebra 2 (+Stats+Trig)

Trimester 3

Unit #9: Due 3/25/24

IXL:

DD. Probability

• 1 Introduction to probability

• 2 Calculate probabilities of events

• 3 Counting principle

• 4 Combinations and permutations

• 5 Find probabilities using combinations and permutations

• 6 Find probabilities using two-way frequency tables

• 7 Identify independent events

• 8 Probability of independent and dependent events

• 9 Find conditional probabilities

• 10 Independence and conditional probability

• 11 Find conditional probabilities using two-way frequency tables

• 12 Find probabilities using the addition rule 

Worksheet # 29 : Probability : Introduction, Probability of Events, and Counting Principle : IXL DD1->DD3 

https://docs.google.com/document/d/1dCNLDymjLpqek8v-2l293PzNV54oGIliMVzvxEbx9Ck/edit 

Worksheet # 30 : Probability : Combination, Permutations, and Frequency Tables : IXL DD4->DD6

https://docs.google.com/document/d/11JgG024scOe9sDW-1IQ-QP33X6LI-PTiNRbQlJ4JgcQ/edit 

Worksheet # 31 : Probability : Independent, Dependent, and Conditional : IXL DD7->DD9

https://docs.google.com/document/d/1j-vz-KYyM0flIGs2-6sBbPbqeyZTdcERJwiGk9XaeWU/edit 

Worksheet # 32 : Probability : Independent, Conditional, and Addition Rule : IXL DD10->DD12 https://docs.google.com/document/d/1fde8D0t0V9VU92UXLmAl7Qg3eetOA2UKTFJ8NJss7Pw/edit 

Good Article on Probability : Complementary Sets :

https://brilliant.org/wiki/probability-by-complement/#:~:text=Complement%20Rule,-In%20a%20probability&text=For%20two%20events%20to%20be,must%20always%20total%20to%201.&text=Equivalently%2C%20P%20(%20A%20c%20),1%E2%88%92P(A). 

Good Article on Conditional Probability : 

https://prvnk10.medium.com/conditional-probability-3da741b4f315 

Cool Article why "1" is not a prime number : 

https://www.wgtn.ac.nz/science/ask-a-researcher/is-1-a-prime-number#:~:text=1%20can%20only%20be%20divided,now%20a%20commonly%20held%20view.

Unit #10: Due 4/29/24

IXL:

EE. Probability distributions

• 1 Identify discrete and continuous random variables

• 2 Write a discrete probability distribution

• 3 Graph a discrete probability distribution

• 4 Expected values of random variables

• 5 Variance of random variables

• 6 Standard deviation of random variables

• 7 Write the probability distribution for a game of chance

• 8 Expected values for a game of chance

• 9 Choose the better bet

• 10 Find probabilities using the binomial distribution

• 11 Find probabilities using the normal distribution I

• 12 Find probabilities using the normal distribution II

• 13 Find z-values

• 14 Find values of normal variables 

• 15 Distributions of sample means 

Worksheet # 33 : Distributions : Discrete Distributions and Graphs : IXL EE1->EE3  https://docs.google.com/document/d/1egTH7shM1sxGpRJ8B0QHqxc4vq7Mz8MH90hHBfXEWss/edit 

Worksheet # 34 : Distributions : Expected Values, Variance, and Standard Deviation : IXL EE4->EE6 https://docs.google.com/document/d/1PMKLsm4QaRqfApYm6-l8IQTFecfxkLQ0dOKuqZ9DiAg/edit 

Worksheet # 35 : Distributions : Expected Values for Games of Chance : IXL EE7->EE9 https://docs.google.com/document/d/1NgjBLkgD6EXvciwWNdTXZoaJDmiAgjM8YKl_95YjZr0/edit 

Worksheet # 36 : Distributions : Binomial and Normal : IXL EE10->EE11 

https://docs.google.com/document/d/1qx8h5A2421ySCTrjU2axjVWXA7ZEq1d1_AS3KuN2yFI/edit

Worksheet # 37 : Distributions : Normal CDF and Z Scores : IXL EE12->EE13

https://docs.google.com/document/d/1FtQDzXnMtyz0RyKYarYNvXGg_NQDQVYQSId4YWHXzDs/edit 

Worksheet # 38 : Distributions : Normal Model and Samples : IXL EE14->EE15

https://docs.google.com/document/d/1zEf2G5xty5EH_KRTZJsgmkNEDMFO8ZdC0RnPWhmf-44/edit 

Spreadsheet Template Worksheet to Print for EE5 and EE6 to calculate variance and standard deviation: https://docs.google.com/spreadsheets/d/1pTfHB7zsitUmGwfP48CWQrCiPmXHKs6m_mwqAeJN3oM/edit#gid=0 

Good Article Comparing Normal Distribution with Binomial Distribution : 

https://stats.stackexchange.com/questions/176425/why-is-a-binomial-distribution-bell-shaped 

Trimester 2

END OF Trimester 2 TO DO:

TODO: End of Tri 2 Student Class Evaluation Form:

https://forms.gle/WdFpnbp2wrryGiYh7  

Final IXL End of Tri 2 Diagnostic: All students: Bring your IXL Diagnostic up to date to the highest level possible. I will give you a report on how well you're doing. If you're up significantly, then I can praise you on that in your Trimester 2 evaluation.  

Unit #5: Due 11/17/23

IXL:

F. Systems of inequalities

• 1 Is (x, y) a solution to the system of inequalities?

• 2 Solve systems of linear inequalities by graphing

• 3 Solve systems of linear and absolute value inequalities by graphing

• 4 Find the vertices of a solution set

• 5 Linear programming 

Worksheet # 13 : Systems : Solve Systems of Linear Inequalities: IXL F1->F2 https://docs.google.com/document/d/1YzdX1Y93KCyToCu0L67dFd6teq8uwR3UKphyxyt-qY4/edit?usp=sharing 

Worksheet # 14 : Systems : Solve Systems of Linear Inequalities and Linear Programming : IXL F3->F5  https://docs.google.com/document/d/1IeEOhtvoyMdD9KHNJXUeQlHcEcwrk9YhtWvCu_3o9GY/edit 

Article About Linear Programming: https://en.wikipedia.org/wiki/Linear_programming#:~:text=Industries%20that%20use%20linear%20programming,scheduling%2C%20assignment%2C%20and%20design. 

Unit #6: Due 12/04/23

IXL:

I.Complex numbers

• 1 Introduction to complex numbers

• 2 Add and subtract complex numbers

• 3 Complex conjugates

• 4 Multiply complex numbers

• 5 Divide complex numbers

• 6 Add, subtract, multiply, and divide complex numbers

• 7 Absolute values of complex numbers

• 8 Powers of i

Worksheet # 15 : Complex Numbers : Adding, Subtracting, Multiplying, and Dividing Complex Numbers : IXL I1->I6

https://docs.google.com/document/d/1zQBe2yMAgyCzLvzagdDdZAG8uOzZMASieY7pU2Fv7xs/edit?usp=sharing

Worksheet # 16 : Complex Numbers : Absolute Values of Complex Numbers and Powers of "i" : IXL I7->I8

https://docs.google.com/document/d/1TDeRIE0XMrg1qOlq7vjNWWWptFQXTqAV1LCjOg3RSSM/edit?usp=sharing 

The Guardian UK Edition : What are Complex Numbers used for in real life? 

https://www.theguardian.com/notesandqueries/query/0,5753,-18864,00.html#:~:text=Complex%20numbers%20(the%20sum%20of,as%20well%20as%20alternating%20currents. 

Unit #7: Due 12/13/23

IXL:

J. Factoring

• 1 Factor out a monomial

• 2 Factor quadratics using algebra tiles

• 3 Factor quadratics

• 4 Factor using a quadratic pattern

• 5 Factor by grouping

• 6 Factor sums and differences of cubes

• 7 Factor polynomials 

Worksheet # 17 : Factoring : Factor Monomials and Quadratics : IXL J1->J4

https://docs.google.com/document/d/16M3RPNGak3_wsGfR5xtZhjS__KtsvMPO-6yVNptBPt4/edit?usp=sharing 

Worksheet # 18 : Factoring : Grouping, Cubes, and Polynomials : IXL J5->J7

https://docs.google.com/document/d/1UHk5lkWP-RTYvqkuqYspEMnLeGftsUFFWrxPxMlWXyw/edit 

Unit #8: Due 1/22/24

IXL:

K. Quadratic functions

• 1 Characteristics of quadratic functions: graphs

• 2 Characteristics of quadratic functions: equations

• 3 Complete a function table: quadratic functions

• 4 Transformations of quadratic functions

• 5 Graph a quadratic function

• 6 Solve a quadratic equation using square roots

• 7 Solve a quadratic equation using the zero product property

• 8 Solve a quadratic equation by factoring

• 9 Complete the square

• 10 Solve a quadratic equation by completing the square

• 11 Solve a quadratic equation using the quadratic formula

• 12 Solve quadratic equations: word problems

• 13 Using the discriminant

• 14 Write a quadratic function in vertex form

• 15 Match quadratic functions and graphs

• 16 Domain and range of quadratic functions: graphs

• 17 Domain and range of quadratic functions: equations

• 18 Write a quadratic function from its zeros

• 19 Write a quadratic function from its vertex and another point

• • New! Write a quadratic function from its x-intercepts and another point 

• • New! Write a quadratic function from three points

• 20 Interpret parts of quadratic expressions: word problems 

Worksheet # 19 : Quadratic Functions : Graphs, Equations, and Transformations : IXL K1->K5

https://docs.google.com/document/d/1wDvH7XwiguRswNkn3mpcfpl9USY22cvBRalVaa9_ACM/edit 

Worksheet # 20 : Quadratic Functions : Square Roots, Zero Product, Factoring, and Completing the Square : IXL K6->K10

https://docs.google.com/document/d/1sWHzK0oQx4o4v8vqRejXRGCgkT8rRpGn8vuU-WBt7rE/edit 

Worksheet # 21 : Quadratic Functions : Quadratic Formula, Functions, Vertex Form, and Graphs : IXL K11->K15

https://docs.google.com/document/d/1qAQtYyG21jEZD2CVJfyYKjGOOt-etNM8LEKt1HRNci8/edit 

Worksheet # 22 : Quadratic Functions : Quadratic Graphs and Functions from Zeros and Vertex : IXL K16->K19

https://docs.google.com/document/d/1ERoD7ReK_8xpXQpyZmlcHKMs-irTIIQqXo1iKdk8h6A/edit 

Worksheet # 23 : Quadratic Functions : X-Intercepts, Three Points, and Word Problems : IXL KNew!, KNew!, and K20

https://docs.google.com/document/d/1GdWu212U6RfhTmwjzrTYkp4988zzhit6T3cUv7jnu2c/edit 

K12 Teacher's Notes - Model Problem

https://drive.google.com/file/d/19r6wMihLAJy2cJgLnFttPES413B2qvnu/view?usp=sharing

KNew! Teacher's Notes - Model Problem for Finding Quadratic Function from Three Given Points

https://drive.google.com/file/d/1Fd6Ie0bt7Jkd73Fi68UJIMjd_1wsKb9o/view?usp=sharing

Unit #9: Due 2/14/24

IXL:

T. Exponential and logarithmic functions

• 1 Domain and range of exponential and logarithmic functions

• 2 Evaluate exponential functions

• 3 Write exponential functions: word problems

• 4 Graph exponential functions

• 5 Match exponential functions and graphs

• 6 Graph logarithmic functions

• 7 Solve exponential equations by rewriting the base

• 8 Solve exponential equations using common logarithms

• 9 Solve exponential equations using natural logarithms

• 10 Solve logarithmic equations I

• 11 Solve logarithmic equations II

• 12 Exponential functions over unit intervals

• 13 Identify linear and exponential functions

• 14 Describe linear and exponential growth and decay

• 15 Exponential growth and decay: word problems

• 16 Compound interest: word problems

• 17 Continuously compounded interest: word problems 

Worksheet # 24 : Exp'n't'l and L'g'r'thm'c Functions : Domain, Range: IXL T1->T4  https://docs.google.com/document/d/1IHW7fiiIsXmNRncGyUgtOifulzoI_1RyhOSUck-hUi8/edit 

Worksheet # 25 : Exp'n't'l and L'g'r'thm'c Functions : Graph Log Functions and Solve Exp Functions : IXL T5->T8  

https://docs.google.com/document/d/1nDePjd62R2JcN6NawzPsk7jqoRRJ4i2-9m7Kms-gCZM/edit 

Worksheet # 26 : Exp'n't'l and L'g'r'thm'c Functions : Solving Natural and Other Logarithmic Functions : IXL T9->T11

https://docs.google.com/document/d/1f0GIQICbAPUvX5yXmqs-VTEqxci5jZM_TNHsxsSZ8EY/edit 

Worksheet # 27 : Exp'n't'l and L'g'r'thm'c Functions : Linear and Exponential Growth and Decay : IXL T12->T14

https://docs.google.com/document/d/1XzLXuVa-32rxbSt3a5jhCBarzbp0MnKdGiXbtOLJBrQ/edit 

Worksheet # 28 : Exp'n't'l and L'g'r'thm'c Functions : Exponential Growth and Decay and Compound Interest : IXL T15->T17

https://docs.google.com/document/d/1RGiT2dK-WsCRgEUW3a6EPDC6cvu18cOFxggvgpZTHDw/edit 

Trimester 1

Do Today: 11/15/2023

End-of-Trimester 1 Student Evaluations of Algebra 2 Course:

Here's the link: Link: https://forms.gle/tiQ5sMAoMPXpuSaN6  

Intro: Remember to pick up course materials as described in the Course Description. See Syllabus above!

First Assignment: Make your own My Picture Story like Michael did and showed in class in Google Docs or Google Sheets. You should have pictures, music, links, and websites of things you like, and try to tell a story. You may present it to the class. Please make the file viewable and send a viewable link to me at michaelw@school-one.org . Present your My Picture Story by Friday, Tuesday, or Wednesday, September 6th.

Sample My Picture Story: https://docs.google.com/document/d/1oP-9D-tBzsGV1NOxqLoFidDQecSJ04nFBhU-NS3CEoA/edit?usp=drive_link 

Announcement: Join our KhanAcademy.org Class! Go to Teachers, and put in this code: MGCXBB6V . Thank you all!

Tips to Become a Math Genius by New Year's Day!

IXL:

• Method 1: Work on IXL - Assessment, and see the "recommended skills" under each of the six domains. Work on these recommended skills and try to get a SmartScore of 90 on each topic. If your IXL - Assessment page runs out of recommended skills, you can pop back into Step into the Arena, do six questions, and then pop back out to Assessment to see more recommended skills.

• Method 2: Since you're recommended for Algebra 2, you can go to IXL - Learning - Math - Algebra 2, and work on the topics in each section to work ahead and learn more!  The more that you do, the more you will learn. 

• Challenge Opportunity: For your challenge opportunity for Algebra 2, if you complete 90% of the topics in IXL - Learning - Math - Algebra 2 with a SmartScore of 75 or higher by the end of January, you can then proceed to take Geometry from February to June.  Or, if you already finished Geometry, you can then proceed to Precalculus. 

Unit #1: Due 9/8/23

IXL:

B. Equations

• 1 Solve linear equations

• 2 Solve one-step and two-step equations: word problems

• 3 Solve equations: complete the solution

• 4 Solve absolute value equations

• 5 Graph solutions to absolute value equations

• • New! Write absolute value equations from graphs

• 6 Solve multi-variable equations 

Khan Academy:

Algebra 2 Challenge : Try this Algebra 2 Course Challenge Test on KhanAcademy.org. How much do you know about Algebra 2? How much will you know by the end of the year? https://www.khanacademy.org/math/algebra2/test/x2ec2f6f830c9fb89:course-challenge . Let me know after you try the Khan Academy Algebra 2 Challenge Test, and I will record your BOY score. 

Unit #2: Due 9/27/23 

(NEW DUE DATE 9/27/23: We need more Time to go over more notes on C9, C10, and C11. More notes in class on Monday 9/25 for these three.)

IXL:

C. Inequalities

• 1 Graph a linear inequality in one variable

• 2 Write inequalities from graphs

• 3 Write a linear inequality: word problems

• 4 Solve linear inequalities

• 5 Graph solutions to linear inequalities

• 6 Solve absolute value inequalities

• 7 Graph solutions to absolute value inequalities

• 8 Graph a two-variable linear inequality

• 9 Graph solutions to two-variable absolute value inequalities

• 10 Graph solutions to quadratic inequalities

• 11 Solve quadratic inequalities

Worksheet #1 : Absolute Value Inequalities (Worksheet #1) : https://docs.google.com/document/d/1QF4DhLY1pe2FxldAyzv_DqMHD4b3GCE0HpnizU6Yy5M/edit?usp=sharing 

Project #1 : Absolute Value Project

Part I : Data Collection Sheet : https://docs.google.com/document/d/1fzcpcMpx9Lt3NHQj9GAdA_T7LUyOMVwIVh8Y7jVPZyA/edit

Part II : Example to Follow : Data, Calculations, and Graph:

https://docs.google.com/spreadsheets/d/1x9eaDjQLRzt4qsJLAuzT1ZnVzPb6YCq4rpY0Zdw70Mc/edit#gid=0

Worksheet # 2 : Graph solutions to two-variable absolute value inequalities

https://docs.google.com/document/d/1cazX6dxi-JWA8mrv-sWRJJgWmOnnqqMcP4ui5840xpo/edit?usp=sharing 

Worksheet # 3 : Graph solutions to quadratic inequalities

https://docs.google.com/document/d/1A3wxm95oqQBI3gPyYEScIh7Lcd3VYv4P32u80Mo4v2s/edit?usp=sharing 

Unit #3: Due 10/18/23

(NEW DUE DATE 10/18/23: We need more Time to go over more notes on D14->D18. More notes in class on Monday 10/16 for these five.)

IXL:

D. Functions

• 1 Domain and range

• 2 Identify functions

• 3 Evaluate functions

• 4 Find values using function graphs

• 5 Complete a table for a function graph

• 6 Identify graphs: word problems

• 7 Find solutions using a table

• 8 Approximate solutions using a table

• 9 Find the slope of a linear function

• 10 Graph a linear function

• 11 Write the equation of a linear function

• 12 Linear functions over unit intervals

• 13 Average rate of change

• 14 Graph an absolute value function

• 15 Domain and range of absolute value functions: graphs

• 16 Domain and range of absolute value functions: equations

• 17 Transformations of absolute value functions

• 18 Graph piecewise-defined functions 

Worksheet #4 : Functions (Worksheet #4) : D1->D5 :

https://docs.google.com/document/d/1NzQwe61PJcDuZ_yQQSdYBx3kyYAmwQDSJvc0WGXLPKQ/edit?usp=sharing 

Worksheet #5 : Functions (Worksheet #5) : D6 :

https://docs.google.com/document/d/1D0CBiWvHLLXNEfaUOFRuqZoDxZSkDqyOW-6v3TzxHfE/edit?usp=sharing

Worksheet #6 : Functions (Worksheet #6) : D7->D8 :

https://docs.google.com/document/d/1AhRtuVeCigsMylGbqksnZAOsQ6awgIJodJMa4FQHy2w/edit?usp=sharing

Worksheet #7 : Functions (Worksheet #7) : D9->D13 :

https://docs.google.com/document/d/1QlUuAkUH7nXVPWvBjt5a_7n1BdWOsWHzWvOal-s_I0g/edit?usp=sharing

Worksheet #8 : Functions (Worksheet #7) : D14->D18 :

https://docs.google.com/document/d/15rJ2Enfrfqu41UtaUwRI_uDEA8gBKJJneLpCrLCX7D0/edit

Project #2 : Functions Project : To Be Determined :

Unit #4: Due 11/08/23

IXL:

E. Systems of equations

Theoretical Notes #1 on Systems of Linear Equations: https://drive.google.com/file/d/1fIVKNn3gGGfW1-P3oi-M-4Jk25i85yg6/view?usp=share_link (Recommendation on Notes: Write down all notes in your own hand writing, try the examples as you go, and also try the examples on https://www.geogebra.org/classic .)

• 1 Is (x, y) a solution to the system of equations?

• 2 Solve a system of equations by graphing

• 3 Solve a system of equations by graphing: word problems

• 4 Find the number of solutions to a system of equations

• 5 Classify a system of equations

• 6 Solve a system of equations using substitution

• 7 Solve a system of equations using substitution: word problems

• 8 Solve a system of equations using elimination

• 9 Solve a system of equations using elimination: word problems

• 10 Solve a system of equations using any method

• 11 Solve a system of equations using any method: word problems

• 12 Solve a system of equations in three variables using substitution

• 13 Solve a system of equations in three variables using elimination

Theoretical Notes #2 : SchOne Systems of Equations Three Variables Number of Solutions : https://docs.google.com/document/d/1aS8z8vLGyIpdohV84Cs8k1U3X30j4l0Bg4N8zLCrqdc/edit?usp=sharing 

• 14 Determine the number of solutions to a system of equations in three variables

• 15 Solve a system of linear and quadratic equations by graphing: parabolas

• 16 Solve a system of linear and quadratic equations: parabolas

• 17 Solve a system of linear and quadratic equations: circles

• 18 Solve a nonlinear system of equations 

Worksheet #9 : Systems of Equations (Worksheet #9) : E1->E5:

https://docs.google.com/document/d/1iKqBQZ2QccUM6h7-ElbwD7ZdVWrL3fGQZ26pNlarjd0/edit 

Worksheet #10 : Solve Linear Equations by Substitution and Elimination: IXL E6->E11

https://docs.google.com/document/d/1lvluJ8MdsWtVAgigiEheuHuk5mf4mJ36DWjynem2BtE/edit?usp=sharing 

Worksheet # 11 : Systems : Solve Linear Equations in Three Variables: IXL E12->E14

https://docs.google.com/document/d/15qSHGKT873ta1Fut85I1bDBBfYYZh59_N7JERhF0VyI/edit 

Worksheet # 12 : Systems : Solve Systems of Linear and Nonlinear Equations: IXL E15->E18

https://docs.google.com/document/d/1Xm1TRYwGPWgUGhaIxX-Qnf1Zwno2vs9obqaJLITqAUM/edit?usp=sharing

Notes #1 : Systems of Linear Equations : https://drive.google.com/file/d/1fIVKNn3gGGfW1-P3oi-M-4Jk25i85yg6/view 

Notes #2 : SchOne Systems of Equations Three Variables Number of Solutions : https://docs.google.com/document/d/1aS8z8vLGyIpdohV84Cs8k1U3X30j4l0Bg4N8zLCrqdc/edit?usp=sharing