10+Math

Email: mrjonathan@lapazschool.org (PDF - 9.1MB) Web-based Graphing Calculator : Desmos, Basic Graphing Calculator A handheld Graphing Calculator is REQUIRED for this course. ( Texas Instruments 84 suggested, or Casio is okay but not supported in class) (for inquiring minds)
 * Welcome to Math 10**

Solving expressions with rational exponents using logarithms (product, quotient, power rules) In class worksheet examples here. || Apply the properties of logarithms Solve exponential equations using logarithms Read: Using Logarithms in the Real World and Read: An Intuitive Guide to Exponential Functions and e, How to think with Exponents and Logarithms In Class: 16I.1 #2-5 || Solve simple Exponential Equations HW 16G #1 OLP, #2 1st column, 3rd column || Recognize Exponential Growth and Decay Graph Graph/Sketch Exponential Functions Define Principal, Compounding Recall "annual multiplier" Evaluate/Resolve Exponential Function Solve Compound Interest Problems Solve Depreciation Problems HW 16C #1-4 (6,7 Challenge) 16D #2,4,5 16E #2,4,5,7 || Review Index Laws Apply Index Laws using primes as base Assignment: 16A #1-10; 16B #1-4 || Apply geometric sequence explicit formula and recursive formula to real life applications (Real Estate Appreciation/Depreciation and Music - Piano note frequencies) || Recognize Geometric Sequences and find the indicated term of a geometric sequence Find the geometric means between 2 numbers Find the arithmetic means between 2 numbers Assignment: Textbook 14I.2 ALL #1-9 || Show that a sequence is arithmetic Express and arithmetic sequence in explicit form and recursive form Assignment: 14I.1 #1 (page 347) || Recognize the absolute value function (and its aliases: modulus(x), mod(x), or abs(x), |x|) Solve equalities and inequalities with absolute values (positive solution and negative solution) Assignment: 14G.1 #1defgh, #3,4,5 14G.2 #1abcghijkl, #2 || Recognize and Identify an Inverse Relationship Complete the Investigation 2 in 14F and Exercises 1-7 Watch Inverses on Udacity || Identify Vertical Asymptotes Identify Horizontal Asymptotes Review of transformations, domain, range, functions, composition of functions. Handout: QUIZ WEDNESDAY from class || Assignment: 14D in class, watch Asymptotes on Udacity (18 minutes of video + questions) and Practice Problems QUIZ WEDNESDAY || Assignment: Watch Composite Functions on Udacity. Expect a Quiz Monday on this material. || Use Function Notation to evaluate function of x. Evaluate the domain of a function Complete your assignment for Wednesday, but expect a quiz Tuesday. Identify a Relation Identify Domain Identify Range Identify a Function (using Vertical Line Test) Use Function Notation to evaluate a function of x.
 * NEXT QUIZ: **
 * LAST QUIZ: **** QUIZ **
 * Assignments **
 * **Week** || **Assigned** || **Due** || **Assignment: eol is every other letter** ||
 * ||  || 1/9 || Summer Assignment: IB DP Math Entrance Exam ||
 * 37 || 2/7 || 4/7 || ** Learning Targets: **
 * 37 || 30/6 || 7/1 || ** Learning Targets: **
 * || 26/6 || 27/6 || ** Learning Targets: **
 * 36 || 24/6 || 25/6 || ** Learning Targets: **
 * 35 || 18/6 || 23/6 || ** Learning Targets: **
 * 35 || 17/6 || 18/6 || ** Learning Targets: **
 * 35 || 16/6 || 17/6 || ** Learning Targets: **
 * 33 || 4/6 || 6/6 || ** Learning Targets: **
 * 33 || 3/6 || 4/6 || ** Learning Targets: **
 * 32 || 28/5 || 3/6 || ** Learning Targets: **
 * 32 || 27/5 || 28/5 || ** Learning Targets: **
 * 32 || 26/5 || 27/5 || ** Learning Targets: **
 * Evaluate combined functions with addition, subtraction, multiplication, and division
 * Evaluate composite functions
 * 31 || 22/5 || 25/5 || ** Learning Targets: **
 * Construct transformations of functions from parent functions
 * Identify domain and range from transformed functions
 * 31 || 21/5 || 23/5 || ** Learning Targets: **
 * Assignment __(INCLUDES TEXTBOOK AND WATCHING VIDEOS)__: **
 * 14C.1 # 5,6,7**
 * 14C.2 #1 (Check your work with graphing calculator or graphing web site)**
 * Watch:**
 * Identify a Function (using Vertical Line Test)**
 * Use Function Notation to evaluate a function of x.**
 * Finding the Domain of a Function**
 * IF YOU NEED MORE HELP:**
 * Udacity Lessons on Domain and Range (for extra help)**
 * Introduction to Functions (Khan Academy)(for extra help)** ||
 * 31 || 19/5-20/5 || N/A || She Loves Math site to help you find information needed on assignment of Parent Functions
 * Assignment DUE Wednesday: 14A #1-3 and 14B #1-3 from your textbook; your completed parent functions research**
 * Learning Targets ** for Tuesday:

Udacity Lessons on Domain and Range Introduction to Functions (Khan Academy)

For review, [|what is is function]? what is a parent function? || Define **relation, function, domain, range** For each of the Parent Functions listed below, find a) domain b) range c) symmetry d) any asymptotic behavior e) extreme behavior or end behavior (what happens as x goes to infinity and what happens as x goes to negative infinity) f) draw the graph g) what does it model in the world (how do we as humans use each of these functions, give at least one example of each) h) find the inverse (if the function has one)
 * 30 || 16/5 || 19/5 || ** Learning Targets: **

Parent Functions for evaluation: 1. Linear Function y=x 2. Quadratic Function y=x^2 3. Cubic Function y=x^3 4. Square Root Function y=x^.5 or y=sqrt(x) 5. Exponential Function y=2^x or y=10^x or y=e^x 6. Sinusoidal Function y=sin(x) 7. Cosine Function y=cos(x) 8. Tangent Function y=tan(x) 9. Absolute Value Function y=|x| 10. Integer Function or Step Function y=[x] 11. The Reciprocal Function y=1/x Multiply/Divide rational expressions Add/Subtract rational expressions Assignment 12B #1 i-p, #2 i-p 12C #1 m-p #2 m-p, #3 i-l #4 e-h || Simplify algebraic fractions (rational expressions) Identify and evaluate rational expressions Assignment 11I.2 #1,2,4,5,6,8 || Define inclusive events Define mutually exclusive (disjoint) events Illustrate mutually exclusive events and inclusive events with a Venn Diagram Find the probability of inclusive events Find probability of mutually exclusive events Assignment: 11G: #3,4 11H #1,2 || find the probability of two or more independent events find the probabilities of conditional events (dependent events) Assignment: 11E.1 #5,6 11E.2 # 1,3 The Monty Hall Problem || Recognize, state and calculate P(event) = # of ways an event can happen / total # of possible outcomes Friday QUIZ on Trig Ratios, sine rule, cosine rule, trigonometric identities. Review on Monday, Final Trimester Exam on Wednesday (topics 20-29, 50 from your topic checklist) || Complete these: || In class 10F #3,4 all and 10G #1,2,4abd, +1 challenge #5 || Video: A way to remember values on the entire Unit Circle New Material: Video of Sine Rule and Cosine Rule Homework is to graph by hand y=sin(x) (With a scale accurate to 2 decimal places (1= 1.00). Your increments on the x-axis should be in degrees of 15, 30, 45, ...etc. or you may choose the increments from the below calculation. The bicycle wheel has a circumference of 2.21 m and 32 spokes. How far apart is each spoke in cm? What is the angle between each spoke (in radians and degrees)? || Trigonometric Ratios (you will have a "good time" in class if you also watch the rest of this unit by Friday) || p467 #2 adgjm #3adg p472 #2 1st column || Check your answer from this quadratic equation. You should check both your answers (± gives you two answers). You may use a calculator. If you have questions on Completing the Square, review the videos we watched in class and try again! ALSO: Please review [|Simplifying Radicals] || For practice, complete 9C #2beh, #3 beh, #4a, b (iii, vi) || 8H.2 #2 8I #2 (use your graphing calculator) 8J.1 #1,3 8K #1-4 Khan Academy Video Resources on Measures of dispersion and central tendency || Exercise 8F: #5, 8G #2,3 || Define/depict: class intervals, frequency histogram, modal class, bimodal, mean, median, mode, central tendency, outlier, skewed data, negatively skewed, positively skewed, data spread Asignment: 8D #3,4 8E.1 #3,4,6,9,11,13,14 8E.2 #1,2,3 || Define: Statistics, data, data set, raw data, statistical enquiry, categorical data, quantitative data, discrete data, continuous data , census, sample, unbiased/biased sample, population, mode. Do exercise 8A.1 and 8A.2 || 6E Areas and Volumes of Similar Figures using scale factors HOMEWORK is #1abcd || Know the congruence test and how to use it. Complete 6C.1 #1,2 6C.2 #2,9 6C.3 #2 in class || QUIZ TODAY: Exercise 5D #1,6 and 5E.1 #1ae, 2ac, 3h, 4abce, 5ALL, Challenge 6,7,8 || || 4C.2 #2,3 4D #2,3,6,12,**13** 4E #1,2,3,4,8,10 **AND ANY HOMEWORK DUE FRIDAY WHICH EVERYONE PRESENT CHOSE NOT TO DO! AND ANY PROBLEMS FROM 4F ALSO QUALIFY FOR "QUICK 4."** || 4A #1bc,2bc, 3b, 4abc, 5c, 6abc, 7b,8,9abc || 4/10/13 || View this quick review/tutorial "A Visual Approach to Simplifying Radicals" In class, you will have time to do the problems below. Videos should be watched at home. Khan Academy Resources: Watch these videos: Understanding Square Roots1 minute Simplifying Radicals10 min Approximated Square Roots8 min Simplifying Square Roots4 min Square Roots and Real Numbers11 min Adding and Simplifying Radicals8 min Finding Cube Roots5 min [|Cube Root of a Non-Perfect Cube]5 min Simplifying Cube Roots3 min Do these problems: 3A.1 #1adh, 2c, 3cfi 3A.2 #1jkl, 2gh 3B.1 #1jkl, 2ijkl, 3efgh, 4abcd, 5cd, 6ab 3B.2 #1dhlp, 2abcd 3C #1j, 2mo, 3ej 4n,o 5h,i, 6b 3D #1dijrst, 2afgh, 3aefh, 4c, 7, 8 3E #1aef, 2d, 3cd, 4ab, 5, 6ab || For Friday: 2C 1aceg, 2acdfgi, 3aceg, 4bdfh 2D 1acegikmo, 2, 3acegh, 4 || Do Exercises 2A 1-6 eol and 2B 1-6 eol, starting on p 47. ||
 * NEW 12. The Constant Function y=c
 * BONUS 13. The Cubed Root Function y=x^(1/3) ||
 * 30 || 14/5 || 16/5 || Assignment: [[file:10_Math_REVIEW-Graphing-Lines-Parallel and Perpendicular Activity.pdf|Graphing Activity]] ||
 * 29 || 6/5 || 7/5 || ** Learning Targets: **
 * 29 || 5/5 || 6/5 || ** Learning Targets: **
 * Assignment:** 12A.1 #1prt, #2fg, 4moqr; 12A.2 #1ijkl, 2kl, 3vwx, 4ghijkl ||
 * 28 || 29/4 || 30/4 || Complete this [[file:10 Math MYP-dice-probability.pdf|worksheet on probability with a die]]. Remember to list out your sample space to help you visualize the outcomes. ||
 * 28 || 28/4 || 28/4 || In class practice on previous learning targets
 * 27 || 25/4 || 25/4 || ** Learning Targets: **
 * 27 || 23/4 ||  || ** Learning Targets: **
 * 27 || 22/4 || 23/4 || Text 11C and 11D - Combined Events and Theoretical Probability
 * Learning Targets: ** define sample space, represent sample space in various ways, identify the number of ways an event can happen, identify the total number of possible outcomes
 * Homework/classwork: 11C #1-4 and 11D #1, 2, 9, 12** ||
 * 27 || 21/4 || N/A || Experimental Probability (Learning Target): Use simulation methods to estimate or approximate the experimental probability of an event. ||
 * ~  ||||~ TRIMESTER 2 BELOW ||
 * 25 || 18/3 || 19/3 || Complete exercises on Cosine Rule, Sine Rule, Trig Identities, etc. p 260 #8 and Review Set 10A #9-13
 * 25 ||  ||   || Quiz on Unit Circle and Squares of Integers from 1-20 (22.5 minutes to complete quiz) ||
 * 24 || 10/3 || 11/3 || Solving Triangles: Choose 4 from 10H (in class time given was 45 minutes)
 * 23 || 7/3 || 10/3 || Sine Rule and Cosine Rule
 * 23 || 5/3 ||  || In class we did the Investigation 3 on p 254
 * Homework:** Complete Investigation 3 on p 254 and do Exercise 10F #1,2 all ||
 * 23 || 4/3 || 5/3 || Area of triangle knowing 2 sides and angle in between (use when you don't know height) 10E #1E, 3, 5 ||
 * 22 || 3/3 || 4/3 || Exercise 10C.2 #3abcd choose 2 and 10D #1,4 ||
 * 22 ||  ||   || [|Completed Unit Circle]
 * 22 || 26/2 ||  || Today we nearly completed the [|Unit Circle] - your job is to complete it for homework. Also, your homework that was due Monday is still due (you still need to do it!). ||
 * 21 || 21/2 || 24/2 || **DUE MONDAY: NO CLASS MONDAY (FIELD TRIP), ASSIGNMENT MUST BE TURNED IN BEFORE YOUR FIELD TRIP.** **Section 10B.1 #1-23 ODD**. Include all work, correct heading. This is a problem set and should be treated as a quality assignment. **LATE WORK RECEIVES NO CREDIT.** ||
 * 21 || 19/2 || 20/2 || Please add Physics 100 in Udacity to your courses and for your reference we will be using part of Unit 1 as a resource to Trigonometry
 * 21 || 18/2 || 20/2 || Solving for unknown sides and angles using sine, cosine, tangent trigonometric ratios and the inverse trig ratios. Exercise #4 abc on page 237 ||
 * 20 || 14/2 || 18/2 || Read [|this site on understanding Sine Waves] ||
 * 20 || 11/2 ||  || QUIZ FRIDAY: [[file:10_Math Quadratics-Square root, completing the square, quadratics-SAMPLE-QUESTIONS.pdf|Here is a sample of questions that you should be able to solve with the appropriate method.]] ||
 * 20 || 10/2 || 11/2 || Quadratic Inequalities (Udacity>Visualizing Algebra>9.5)
 * 19 || 7/2 || 10/2 || Homework is to solve quadratic equation given in class. If you weren't in class, phone a classmate. ||
 * 19 || 5/2 || 7/2 || Solving with the Quadratic Formula: 9E.1 #1 jkl, #2adf, #3a, #5 ||
 * 19 || 4/2 || 5/2 || [[image:10_Math-Quadratic-Formula-hw-4-feb.png width="560" height="192"]]
 * 19 || 3/2 || 3/2 || Sign up for www.udacity.com and sign up for Visualizing Algebra. Forward the confirmation email to mrjonathan@lapazschool.org.
 * 18 || 29/1 || 31/1 || Quadratic Equations Exercises 9A #1beh, 2beh, 9B.1 #1cfi, 9B.2 ALL (middle column only - for #6 do middle row only) ||
 * 17 || 21/1 || 31/1 || [[file:10_Math-MYP5_Standard_Statistics_Project.pdf|Statistics Project: Life Expectancy]] due Friday January 31st. ||
 * 17 || 20/1 ||  || We completed a quiz on descriptive statistics and then watched two videos: "No More Boring Statistics" and "200 Countries, 200 Years, 4 minutes" ||
 * 16 || 17/1 || 20/1 || For practice and to study, complete Review Set 8A in your textbook (also review the videos from Khan Academy below). Quiz Monday ||
 * 16 || 15/1 || 17/1/14 || Box-and-Whisker Plot, Standard Deviation, Normal Distribution
 * 16 || 14/1/14 || 15/1/14 || Cumulative Frequency and Further Measures of Central Tendency [Measuring the Spread]
 * 16 || 13/1/14 || 14/1/14 || In class: Cumulative Frequency Charts and Tables in 8F. For homework, define range, interquartile range, upper quartile, lower quartile. Also, define standard deviation (not mentioned in class) ||
 * 15 || 10/1/14 || 13/1/14 || Measures of Central Tendency: Mean, Median, Mode; Frequency Histograms
 * 15 || 8/1/14 || 10/1/14 || Quantitative Data and Grouped Discrete Data: 8B #1,3,5 8C #3,4 (stem and leaf plots) ||
 * 15 || 7/1/14 || 8/1/14 || Chapter 8 Univariate Data Analysis
 * 13 || 29/11/13 ||  || On Monday you can retake previous quizzes. To do so, you must email me by Saturday your topics that you want to retake. ||
 * 13 || 27/11/13 || 29/11/13 || 7C and 7D# ||
 * 13 || 26/11/13 || 27/11/13 || Reflections and Rotations: 7B #1aceg, 2bdfhi, 3cde 7C #3bfg ||
 * 13 || 25/11/13 || 26/11/13 || Notes on Transformations. Homework is 7A #2all, 3 ||
 * 12 || 20/11/13 ||  || In class we graphed y=x^2 and looked at the translation transformation that happens when you graph y=(x-2)^2 and y=(x+3)^2. Chapter 7A and 7B review ||
 * 11 || 12/11/13 || 15/11/13 || Similar Triangles [[file:10_Math-Similar-Triangles-Questions-in-Class.pdf|assorted questions for "check for understanding"]]
 * 11 || 12/11/13 || 15/11/13 || Similar Triangles [[file:10_Math-Similar-Triangles-Questions-in-Class.pdf|assorted questions for "check for understanding"]]
 * 11 || 11/11/13 || 12/11/13 || Similar Triangles 6D: #2, Choose 2 more from 6D (**[|SPARK Facebook Post from Tuesday]**) ||
 * 10 || 8/11/13 ||  || Know these terms: Converse, Vertically Opposite Angles, Alternate Angles, Corresponding sides, Included angle, Isosceles triangle.
 * 10 || 6/11/13 || 8/11/13 || Triangle Investigation p136-137 A-D (if you don't understand email me before 6 pm on Thursday afternoon) ||
 * 10 || 4/11/13 || 5/11/13 || Read this article: Why Do We Learn Math? and write me a short (3-4 sentence) response/reaction by email to what you read.
 * Coordinate Geometry (First Time): Graphing Lines, Finding Slope/Gradient, Parallel Lines, Perpendicular Lines, Slope-Intercept Lines, Distance formula, Midpoint Formula, Rule of Pythagoras (Second Time) ([[file:10 Math Review Questions for Coordinate Geometry.pdf|REVIEW QUESTIONS PDF]]) ** ||
 * 9 || 30/10/13 || 1/11/13 || Review Set 5A #1,3 Show all work, if you cannot complete, email me. ||
 * 9 || 28/10/13 || 29/10/13 || Finding the distance between a point and a line [[file:10_Math-Notes_5F-Shortest-distance-between-point-line.pdf|Class notes]] Section 5F #1ae, 2a, (Challenge 3, 4) ||
 * 8 || 25/10/13 || 28/10/13 || Linear Equations in slope-intercept form, general form.
 * Finding slope from 2 points.
 * Finding equation of a line from slope and another point
 * Finding equation of a perpendicular line or parallel line through specified point
 * Use distance formula to verify shapes (triangle, quadrilateral, etc.)
 * 8 || 23/10/13 ||  || Parallel (same slope) and Perpendicular lines ( reciprocal slopes) 5C.2 1,2,3b,4b 5C.3 1a, 2a ||
 * 8 || 22/10/13 ||  || Midpoint 5B #1e, 2h, 3e, 4a, 6, (7,9 more challenging), 5C.1 #1,2,3aceg, 4, 5 ||
 * 7 || 18/10/13 || 22/10/13 || Coordinate Geometry Distance Formula 5A 1c and find the distance between D and G, 2b, 5A.2 #1fh, 2ace, 3ac, 4a ||
 * 7 || 15/10/13 || 16/10/13 || [[file:10_Math-Pythagoras-etc-problem-set.pdf|Pythagoras etc. Problem Set]]
 * 6 || 11/10/13 || 15/10/13 || Problem Solving Pythagoras 4C.1 #2,3,4,8,10,11abc, 12, 13, 15
 * 6 || 9/10/13 || 10/10/13 || Pythagoras HW Investigation p87 (spreadsheet), p91 choose 3 ||
 * 6 || 8/10/13 || 9/10/13 || Rule of Pythagoras:
 * 5 || 4/10/13 || 8/10/13 || Read and write a 150 word reflection on an article from [|Plus Magazine] ||
 * 5 || 30/9/13 || Friday
 * 4 || 25/9/13 ||  || [[file:Math 10 Factoring Review.pdf|Factoring Review worksheet]] ||
 * 4 || 24/9/13 || 25/9/13 || Miscellaneous Factoring: 2H #1defmnopqr, #2abcghijkl, #3abcghijkl, #4jklmno, #5def, #6ghijkl, Review 2A #6,7 ||
 * 4 || 23/9/13 || 24/9/13 || Factor by Splitting ("The Bomb Method") 2G #1-3 1st and 3rd column ||
 * 3 || 20/9/13 || 23/9/13 || Factoring 4-term expressions Exercise 2E 1acdfgi, Factoring Quadratic Trinomials 2F 1all, from 2,3,4,5,6 (1st and 3rd column) ||
 * 3 || 18/9/13 || 19/9/13 || Flow Chart to help with [|Figuring out Factoring].
 * 3 || 17/9/13 || 18/9/13 || Review of Expansion Rules: Distributive Law a(b+c), Product Law or FOIL (a+b)(c+d), Difference of Squares (a+b)(a-b)=a^2-b^2, Perfect Squares (a+b)^2 or (a-b)^2
 * 2 || 11/9/13 || 13/9/13 || Complete Exercise Review 1A for homework, ||
 * 2 || 10/9/13 || 11/9/13 || Venn Diagrams and Word Problems pp39-43 1D.2 #1, 1E #1-16 choose at least 8, 1F +1 Challenge choose 1 ||
 * 2 || 9/9/13 || 10/9/13 || Review of Venn Diagrams p 35 Exercise 1C all (if not finished in class, hw) ||
 * 1 || 6/9/13 || 9/9/13 || Review number sets (integers, natural numbers, rational, irrational, real numbers) and their symbols (Objective: Students are able to classify numbers according to number sets), Set Notation, Roster Notation, Interval Notation) ||
 * 1 || 4/9/13 ||  || Download textbook and save to your computer/device. In class work on math symbols, notation worksheet. ||
 * 1 || 3/9/13 ||  || Sign up for [|khanacademy.org] and add me as your coach. ||