Course Guide

DR. E. P. SCARLETT HIGH SCHOOL PURE MATH 10 COURSE OUTLINE FEBRUARY 2008 Teacher: D. Stock Phone:281-3366 Ext 7061 e-mail: [email protected] TEXT:

MATHPOWER 10

Topic of Study

McGraw-Hill Ryerson

# of Days 1

Weight %

Test Date

0

Tues. Feb. 5th

Number Systems (Radicals) Polynomials Operations

12

8

Tues. Feb. 26th

11

9

Thurs. Mar. 13th

Rational Expressions & Equations Number Patterns (Sequences & Series) Midterm Exam

14

11

Thurs. Apr. 10th

8

8

Tuesday. Apr. 22nd

2

10

Thurs. Apr. 24th

Coordinate Geometry

10

8

Thurs. May 8th

Relations & Functions

10

8

Wed. May 28th

Trigonometry & Statistics

9

8

Tues. June 10th

30

Fri. June 13th

Skills Assessment Test

FINAL EXAM

Note:

A family vacation is not an acceptable reason to change the date of your final exam. Please do not schedule any vacations during exam week.

These dates are subject to minor changes due to the occasional adjustments in the timetable during the school year. Students will be advised of any changes as soon as they are known. Additional copies of this outline can be obtained by contacting the teacher. There will be two report cards during the semester (First Report Mar. 14 , Second Report May 9, Final Report June 27) NOTE: Parent/Teacher Interviews are March 19th from 3 - 7 pm

Assessment: Unit Test: This evaluation is intended to inform students on their demonstrated understanding of a particular topic. Unit tests will account for at least 70% of the unit mark. Regular homework and use of the Math Help Room (8:00-8:45 am in room 274, Monday - Thursday) will ensure the maximum success in this program. IF YOU HAVE AN UNEXCUSED absence for a unit exam you will receive a mark of zero on that exam. You will be required to write a make up exam for which your mark will be averaged with the zero. If you have an excused absence you are expected to write the exam the next day in the Exam Centre after school.

Quizzes: Quizzes may be planned or unannounced. These are primarily to identify to the students the concepts that they need more review on before their unit exam.

Daily Assignments: These consist of in-class assignments, take-home assignments and homework exercises. Students may or may not be given advance notice on when this work will be evaluated. It is expected that students will spend 30-40 minutes of math homework each school day outside of the class.

PLEASE ENSURE YOU READ THIS VERY IMPORTANT SECTION: Due to the nature of the course, regular attendance is critical for success. Parents should verify all absences by notifying the school. If an absence on a test/quiz day is unavoidable (e.g. medical appointment), be sure to inform your teacher before the test. If the absence is unplanned (illness), the parent/guardian must contact the school and excuse the absence ON THE DAY OF THE EXAM before 1 pm. It is the responsibility of the student and the parents to ensure this happens every time. Upon returning to school after an absence, the student will be expected to write the test in the Exam Centre on the day of their return. Please ensure transportation arrangements are made for this circumstance. Students who do not follow this procedure can expect to receive a mark of zero for the test/quiz in question.

Attendance Line: 281-3429

Calculators: The Alberta Learning Program of Study for Pure Math 10 requires that students use a graphing calculator. As the student resources refer to a TI-83/ TI-84, it is suggested that the student purchase a TI-84 or a TI-84 Plus (which can be purchased for $125 gst incl., from the school). Alberta Education requires the teacher to inform you of its calculator policy. Please take the time to become familiar with this policy which can be found at: http://www.learning.gov.ab.ca/k_12/testing/diploma/dip_gib/policy_calculator.asp (Calculators that can perform algebraic manipulations are not allowed for use in classes.)

Student Equipment:

Each student must bring the following to class each day: Binder with pen/pencil, eraser, ruler, looseleaf/3-hole scribbler or paper, textbook and graphing calculator. A highlighter and liquid paper are also suggested. Please ensure you have these items available for use as soon as possible.

Tutors: A tutor list is available from your teacher if you require a tutor for the course.

Please KEEP THIS PAGE for future reference about dates and classroom rules.

NUMBER SYSTEMS

Objective

MathPower 10 Assignment

1. Study the characteristics and classification of the real number system

pg. 8: 1-39 (odd), 45-54, 61, 62, 65, 66

2. Evaluate irrational numbers

pg. 14: 2-44 (even), 29, 45, 48, 49, 51, 53

3. Discuss simplifications of radicals including simple multiplication and division

pg. 19: 1-45, 46 – 54, 62

4. Study operations with radicals (2 classes)

pg. 23: 2-42 (even), 62, 64-66 pg. 23: 68, 43-51 (odd)

5. Review the exponent laws with integral exponents

pg. 33: 1-59 (odd), 67, 71, 76, 77, 79, 81, 83, 84, 85 (a, c)

6. Discuss operations with rational exponents

pg. 37: 2-48 (even), 53, 54, 57, 58, 64, 66, 77-79

7. Study these operations with higher order roots

pg. 23: 53-60 pg. 20: 59 worksheet

8. Apply these properties to radicals with variables in the radicand

worksheet

9. Review

pg. 46: 1-113 (odd) pg. 48: 2-72 (even)

10. Exam

Date:

FEBRUARY 2003

1 -Number Systems Unit Outline.doc

POLYNOMIAL OPERATIONS

Objective

MathPower 10

1. Review – definition, classify, addition, multiply, divide (monomials)

pg. 102: 1-51 (odd), 52-57, 59

2. Multiply polynomials

pg. 107: 3-84 (multiples of 3), 85, 87, 88, 91, 92, 94

3. Special products

pg. 112: 1-47 (odd), 50, 51, 53, 5456 (eop), 57,58

4. Common factor and grouping

pg. 120: 1-29 (odd), 30-37, 37-43 (odd), 44

5. Factoring x2 + bx + c

pg. 126: 1-59 (odd), 65-67

6. Factoring ax2 + bx + c

pg. 130: 1-49 (odd), 54-56

7. Factoring special products

pg. 133: 1-43 (odd), 50-52, 55, 56

8. Tutorial

pg. 136: [1] 1-24 [2] 1-20, omit 9, 10 pg. 140: 1-93 (odd), omit 35, 77

9. Review

10. Test

Date:

Note: eop – every other problem

FEBRUARY 2003

2- Polynomials Outline.doc

NUMBER PATTERNS

Objective 1. Study patterns with numbers and diagrams

MathPower 10 Assignment pg. 52: section 1 1- 4 section 2 1, 2a, 3a, 3b Locker Problem

2. Review percent and its application to problems

pg. 53: 1-4

3. Investigate patterns in tables with a focus on both simple and compound interest

pg. 57: 1-8, 9-17 (odd)

4. Explore the concept of a sequence including the “general term” and the “recursive definition”

pg. 63: all pg. 66: 1-39 (odd), 41-44, 45, 47, 49

5. Study “arithmetic” sequence and their general form with its applications

pg. 74: 1-61 (odd), 66

6. Study “arithmetic” series, its related formulas and applications

pg. 82: 1-21 (odd), 22, 23-33 (odd)

7. Study “geometric” sequences with its related terminology, formula and applications

pg. 84: [1] 1 – 14 [2] 1 – 10

8. Review

pg. 90: 1-38

9. Exam

Date:

FEBRUARY 2003

3 -Number Patterns Outline.doc

RATIONAL EXPRESSIONS AND EQUATIONS

Objective


1. Dividing polynomials (2 periods)

pg. 152: 1-17, 18, 22, 24, 28, 32, 39, 47, 50, 57, 59, 66, 69a

2. Simplifying rational expressions

pg. 158: 1, 3, 5, 9, 13, 18, 19, 21, 25, 30, 36, 44, 48, 50 (a-d), 55a,b

3. Multiplying and dividing rational expressions

pg. 163: 1-47 (odd)

4. Complex Fractions

pg. 163: 49 – 54, 60

5. Adding and subtracting rational expressions I

pg. 167: 1-26 #26 length = 3x-1 (not width)

6. Adding and subtracting rational expressions II

pg. 172: 1, 5, 9, 13, 17, 21, 25, …61, 66a,f

7. Review solving equations Equations with literal coefficients

pg. 179: 1-38 (even), 47, 50, 51 pg. 193: 1-16 omit 12

8. Rational equations

pg. 185: 3- 69 (multiples of 3) 70, 75, 77, 79, 80

9. Problem solving with equations

pg. 190: 7-10, 12-16, 20, 23, 27, 31

10. Review

pg. 200: 1-58

11. Exam

Date:

FEBRUARY 2003,

4 - Rational Expressions Outline.doc

RELATIONS AND FUNCTIONS

Objective


1. Review of basic skills and terminology pertaining to graphs

pg. 208: [1] 1-5 [2] 1-8 Pg. 209 [3] 1-5

2. Investigate binary relations written in different forms including a study of domain and range

pg. 214: 1-17, 19, 20

3. Study linear relations and the “line of best fit”

pg. 219: 1-23 (odd), 26, 29, 31

4. Explore the graphs and properties of non-linear relations

pg. 225: 1-5, 7, 10-13

5. Explore information available from “general” relations pg. 229: 1-5, 8, 10, 12

6. Define a function and study its properties

pg. 234: 1-10 (ace), 11-14, 18, 19, 21, 26, 28, 29 (ace), 31

7. Study the “applications” of linear functions

pg. 238: 1-13 (odd), 14, 15, 18-21, 25

8. Review

pg. 244: 1-31

9.

Date:

FEBRUARY 2003

5 - Relations and Functions Outline.doc

COORDINATE GEOMETRY Objective


1. Length of horizontal and vertical line segments

pg. 252 - 253: all

2. Develop and apply a formula to determine the distance between two points in the plane

pg. 256: 1-11 (odd), 14-19, 20a, c 26

3. Develop and apply a formula for the midpoint between pg. 261: 1-17 (odd), 19-22, 26, any two points in the plane 29, 33, 36

4. Develop and apply the formula for the slope of a line or segment joining any two points in the plane

pg. 267: 1-25 (odd), 26-32, 34, 35, 37, 40, 42

5. Define and study the concept of slope as a “rate of change”

pg. 271: 1-10

6. Find the equation of a line given certain conditions involving the slope and point(s) on the line

pg. 282: 3-39 (multiples of 3), 41, 43, 45, 46, 48-50

7. Study the “slope/y-intercept” form of the equation of a line ( y = mx + b )

pg. 288: 1-35 (odd), 37 (ac), 38 (ac), 40, 43-45

8. Determine the conditions for parallel and perpendicular pg. 294: 1-63 (odd) lines

9. Draw the graphs of linear functions using a variety of techniques

pg. 298: 2-36 (even), 37, 38, 40-42

10. Review and chapter check

pg. 300: all

11. Date:

FEBRUARY 2003

6 - Coordinate Geometry Outline.doc

FEBRUARY 2003

6 - Coordinate Geometry Outline.doc

TRIGONOMETRY Objective


1. Solving right triangles using trig ratios

pg. 332: 1-13

2. Solving problems using trigonometry

pg. 335: 1-13, 18

3. Angles in standard position

pg. 341: 1- 5, 10 - 25

4. Law of sines

pg. 347: 1-14, 16, 18, 19

5. Law of cosines

pg. 352: 1-14

6. Applications and making decisions about which law to use

pg. 352: 15-25, 28, worksheet

7. Review

pg. 356: 12 - 30

8. Date:

STATISTICS AND PROBABILITY Objective


8. Investigate populations and sampling along with various sampling strategies

pg. 368: 1-26, 29

9. Investigate the concept of “bias” in sampling and responding and the effects that it has on surveys and poll

pg. 372: 1-17, 20, 22

January 4, 2004

STATISTICS AND PROBABILITY

Objective


1. Investigate populations and sampling along with various sampling strategies

pg. 368: 1-26, 29

2. Investigate the concept of “bias” in sampling and responding and the effects that it has on surveys and polls

pg. 372: 1-17, 20, 22

FEBRUARY 2003

8- Statistics Outline.doc