Learning Targets:
Review Index Laws
Apply Index Laws using primes as base
Assignment: 16A #1-10; 16B #1-4

35

17/6

18/6

Learning Targets:
Apply geometric sequence explicit formula and recursive formula to real life applications (Real Estate Appreciation/Depreciation and Music - Piano note frequencies)

35

16/6

17/6

Learning Targets:
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

33

4/6

6/6

Learning Targets:
Show that a sequence is arithmetic
Express and arithmetic sequence in explicit form and recursive form
Assignment: 14I.1 #1 (page 347)

33

3/6

4/6

Learning Targets:
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

32

28/5

3/6

Learning Targets:
Recognize and Identify an Inverse Relationship
Complete the Investigation 2 in 14F and Exercises 1-7 Watch Inverses on Udacity

32

27/5

28/5

Learning Targets:
Identify Vertical Asymptotes
Identify Horizontal Asymptotes
Review of transformations, domain, range, functions, composition of functions.
Handout: 10 Math Concept Grade Checklist
QUIZ WEDNESDAY Notes on Finding Asymptotes from class

32

26/5

27/5

Learning Targets:

Evaluate combined functions with addition, subtraction, multiplication, and division

She Loves Math site to help you find information needed on assignment of Parent Functions
Complete your assignment for Wednesday, but expect a quiz Tuesday. Assignment DUE Wednesday: 14A #1-3 and 14B #1-3 from your textbook; your completed parent functions research Learning Targets for Tuesday: Identify a Relation Identify Domain Identify Range Identify a Function (using Vertical Line Test) Use Function Notation to evaluate a function of x.

Learning Targets:
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)

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
*NEW 12. The Constant Function y=c
*BONUS 13. The Cubed Root Function y=x^(1/3)

In class practice on previous learning targets
Assignment 11I.2 #1,2,4,5,6,8

27

25/4

25/4

Learning Targets:
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

27

23/4

Learning Targets:
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

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
Recognize, state and calculate P(event) = # of ways an event can happen / total # 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
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)

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)
Complete these:

23

7/3

10/3

Sine Rule and Cosine Rule
In class 10F #3,4 all and 10G #1,2,4abd, +1 challenge #5

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
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)?

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 Trigonometric Ratios (you will have a "good time" in class if you also watch the rest of this unit by Friday)

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

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

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

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.
For practice, complete 9C #2beh, #3 beh, #4a, b (iii, vi)

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)

Cumulative Frequency and Further Measures of Central Tendency [Measuring the Spread]
Exercise 8F: #5, 8G #2,3

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
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

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
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

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

Know these terms: Converse, Vertically Opposite Angles, Alternate Angles, Corresponding sides, Included angle, Isosceles triangle.
Know the congruence test and how to use it.
Complete 6C.1 #1,2 6C.2 #2,9 6C.3 #2 in class

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.
QUIZ TODAY: 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) (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 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.)

Problem Solving Pythagoras 4C.1 #2,3,4,8,10,11abc, 12, 13, 15
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."Selected solutions from your homework (questions in class).

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.
For Friday:
2C 1aceg, 2acdfgi, 3aceg, 4bdfh
2D 1acegikmo, 2, 3acegh, 4

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
Do Exercises 2A 1-6 eol and 2B 1-6 eol, starting on p 47.

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.

Welcome to Math 10Email: mrjonathan@lapazschool.org

Math 10 Textbook to download to your device for home use (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)

The Mathematics that Every Secondary Math Teacher Should Know (for inquiring minds)

Mr. Jonathan's Classroom Schedule

NEXT QUIZ:LAST QUIZ:QUIZAssignmentsWeekAssignedDueAssignment: eol is every other letterLearning Targets:Solving expressions with rational exponents using logarithms (product, quotient, power rules)

In class worksheet examples here.

Learning Targets: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

Learning Targets:Solve simple Exponential Equations

HW 16G #1 OLP, #2 1st column, 3rd column

Learning Targets: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

Learning Targets:Review Index Laws

Apply Index Laws using primes as base

Assignment: 16A #1-10; 16B #1-4

Learning Targets:Apply geometric sequence explicit formula and recursive formula to real life applications (Real Estate Appreciation/Depreciation and Music - Piano note frequencies)

Learning Targets: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

Learning Targets:Show that a sequence is arithmetic

Express and arithmetic sequence in explicit form and recursive form

Assignment: 14I.1 #1 (page 347)

Learning Targets: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

Learning Targets:Recognize and Identify an Inverse Relationship

Complete the Investigation 2 in 14F and Exercises 1-7

Watch Inverses on Udacity

Learning Targets:Identify Vertical Asymptotes

Identify Horizontal Asymptotes

Review of transformations, domain, range, functions, composition of functions.

Handout: 10 Math Concept Grade Checklist

QUIZ WEDNESDAY

Notes on Finding Asymptotes from class

Learning Targets:- Evaluate combined functions with addition, subtraction, multiplication, and division
- Evaluate composite functions

Assignment: 14D in class, watch Asymptotes on Udacity (18 minutes of video + questions) and Practice ProblemsQUIZ WEDNESDAY

Learning Targets:- Construct transformations of functions from parent functions
- Identify domain and range from transformed functions

Assignment: Watch Composite Functions on Udacity. Expect a Quiz Monday on this material.Learning Targets:Use Function Notation to evaluate function of x.

Evaluate the domain of a function

Assignment(INCLUDES TEXTBOOK AND WATCHING VIDEOS):14C.1 # 5,6,714C.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 FunctionIF YOU NEED MORE HELP:Udacity Lessons on Domain and Range (for extra help)Introduction to Functions (Khan Academy)(for extra help)Complete your assignment for Wednesday, but expect a quiz Tuesday.

Assignment DUE Wednesday: 14A #1-3 and 14B #1-3 from your textbook; your completed parent functions researchLearning Targetsfor Tuesday:Identify a Relation

Identify Domain

Identify Range

Identify a Function (using Vertical Line Test)

Use Function Notation to evaluate a function of x.

Udacity Lessons on Domain and Range

Introduction to Functions (Khan Academy)

For review, what is is function? what is a parent function?

Learning Targets:Define

relation, function, domain, rangeFor 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)

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

*NEW 12. The Constant Function y=c

*BONUS 13. The Cubed Root Function y=x^(1/3)

Learning Targets: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

Learning Targets:Simplify algebraic fractions (rational expressions)

Identify and evaluate rational expressions

Assignment:12A.1 #1prt, #2fg, 4moqr; 12A.2 #1ijkl, 2kl, 3vwx, 4ghijklAssignment 11I.2 #1,2,4,5,6,8

Learning Targets: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

Learning Targets: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

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 outcomesRecognize, state and calculate P(event) = # of ways an event can happen / total # of possible outcomes

Homework/classwork: 11C #1-4 and 11D #1, 2, 9, 12Friday 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:Complete Investigation 3 on p 254 and do Exercise 10F #1,2 allHomework 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)?

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.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

SPARK Facebook Post from Tuesday)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:

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) (REVIEW QUESTIONS PDF)- 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.)

Exercise 5D #1,6 and 5E.1 #1ae, 2ac, 3h, 4abce, 5ALL, Challenge 6,7,8Pythagoras etc. Problem Set Solutions

4C.2 #2,3 4D #2,3,6,12,

134E #1,2,3,4,8,10AND ANY HOMEWORK DUE FRIDAY WHICH EVERYONE PRESENT CHOSE NOT TO DO! AND ANY PROBLEMS FROM 4F ALSO QUALIFY FOR "QUICK 4."Selected solutions from your homework (questions in class).4A #1bc,2bc, 3b, 4abc, 5c, 6abc, 7b,8,9abc

4/10/13

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 Cube5 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.