**Important Information**

Course Outline

Ministry of Education *Draft* Math Foundations & Pre-Calculus 10 Curriculum (June 2016)

We are currently working on Unit 1 – Final Exam Prep.

The Unit 7 – Right Triangle Trigonometry unit test was on Thursday, June 1 and Friday, June 2.

Table of Trig Ratios

**Enjoy the summer!**

The Final Exam will have two parts:

Written Section

– Block G: Friday, June 9.

– Block D: Monday, June 13.

Multiple Choice Section

– Block G: Monday, June 19.

– Block D: Tuesday, June 20.

Marks cut-off for any late or unwritten quizzes or tests to be written was Friday, June 9 at 3:30 pm.

**June 9/12**

Students wrote the written part of the final exam.

Part 1 – Written Section

– Block G: Friday, June 9.

– Block D: Monday, June 13.

Part 2 – Multiple Choice Section

– Block G: Monday, June 19.

– Block D: Tuesday, June 20.

Marks cut-off for any late or unwritten quizzes or tests was Friday, June 9.

**June 7/8**

Students worked on review of functions, linear relations, and systems of linear equations.

The Final Exam will have two parts:

Part 1 – Written Section

– Block G: Friday, June 9.

– Block D: Monday, June 13.

Marks cut-off for any late or unwritten quizzes or tests to be written will be Friday, June 9 at 3:30 pm.

**June 5/6**

Students worked on review of trig, rational and irrational numbers, powers and radicals, and expanding and factoring polynomials.

The Final Exam will have two parts:

Part 1 – Written Section

– Block G: Friday, June 9.

– Block D: Monday, June 13.

Marks cut-off for any late or unwritten quizzes or tests to be written will be Friday, June 9 at 3:30 pm.

**June 1/2**

The Unit 7 – Right Triangle Trigonometry unit test today.

Students have a final exam package that covers all topics seen this year (we ran out of time for a measurement unit).

The Final Exam will have two parts:

Written Section

– Block G: Friday, June 9.

– Block D: Monday, June 13.

Multiple Choice Section

– Block G: Monday, June 19.

– Block D: Tuesday, June 20.

Marks cut-off for any late or unwritten quizzes or tests to be written will be Friday, June 9 at 3:30 pm.

**May 30/31**

Chapter review to prepare for the test next class.

page 136 #1-9

The Unit 7 – Right Triangle Trigonometry unit test will be on Thursday, June 1 and Friday, June 2.

**May 26/29**

Complete the textbook work to practice applications of trigonometry.

page 108 #6,12,13,14*

page 120 #7,8

page 131 #7,14*

**May 24/25**

Complete the textbook work using the inverse sine, inverse cosine, and inverse tangent operations.

page 108 #4,5

page 120 #3,5,6

page 131 #1

**May 18/23**

Complete the worksheet using sine, cosine, and tangent ratios. Answer key available here.

**May 16/17**

Students worked on a worksheet using all angles from 0 to 90, before going outside to do some work.

There will be a quiz next class.

**May 12/15**

Trigonometry

Trig table with ratios for all angles (integers from 0 to 90 degrees)

Complete the side of the worksheet where you calculate lengths of sides of triangles.

**May 10/11**

Trigonometry

Special Triangles: 30-60-90 and 45-45-90 triangles

Complete the worksheet

**May 8/9**

The Unit 1b – Powers & Radicals unit test

Students were given a solving equations & proportions worksheet after the test.

**May 4/5**

Review Day 2

page 197 #11-24

The Unit 1b – Powers & Radicals unit test will be on Monday, May 8 and Tuesday, May 9.

**May 2/3**

Review day 1

worksheet

front: 4.3 #1-4(a,b for each),5

back: 4.4 #1,3,4,5(a,b for each),6

There will be a quiz next class.

The Unit 1b – Powers & Radicals unit test will be on Monday, May 8 and Tuesday, May 9.

**Apr 27/May 1**

Entire radicals and Mixed Radicals

Page 192 #4-7 (a,c,e…), 9*, 10*, 12*, 19*

There will be a quiz next class.

The chapter 1b test will be in two or three classes.

**Apr 25/26**

Radicals & Exponents

Worksheet – Do two columns: first and third columns

**Apr 21/24**

Non-integer exponents

Page 180

#1,2,5 (a,c,e…); 6,9,10

**Apr 19/20**

Chapter test today

**Apr 13/18**

Review worksheet to prepare for test next class. The review page has an answer key at the end.

8.1 #1,3a

9.1 #1,2,4,

8.2 choose at least 3

Page 455 #5

The Unit 6 – Systems of Equations unit test will be on Wednesday, Apr 19 and Thursday, Apr 20.

**Apr 11/12**

Modelling word problems with Equations

9.1 Page 475 #10,11,16

8.2 Page 440 #3,4,11

9.3 Page 498 #3,5,7

There will be a quiz next class.

The Unit 6 – Systems of Equations unit test will be on Wednesday, Apr 19 and Thursday, Apr 20.

**Apr 7/10**

9.3 – Solving Systems by Elimination

Page 488 #1,2,3,4 (a and c)

There will be a quiz Thurs. Apr 13 and Tues. Apr 18.

The Unit 6 – Systems of Equations unit test will be on Wednesday, Apr 19 and Thursday, Apr 20.

**Apr 5/6**

9.1 – Solving Systems by Substitution Day 2

Page 474#1,2,4 (a and c for each).

page 458 #16

**Apr 3/4**

Quiz today.

9.1 – Solving Systems by Substitution

Page 474 #1

**Mar 30/31**

8.3 – Numbers of solutions

Page 454 #1,2,3,4,9,10,12

There will be a quiz on Monday/Tuesday next week.

**Mar 28/29**

8.1 – Solving Systems of Equations Graphically

Page 427 #3,4,5,6,14,15

There will be a quiz on Monday/Tuesday next week.

Block D students were also given the graphing practice. Here is the answer key for those students to check.

**Mar 27**

Block G had a full block to practice graphing.

Here is the answer key for those students to check, or for Block D to find out what the extra practice was.

**Mar 9/10**

Chapter test today; no homework. Enjoy the break!

The Unit 5 – Slope & Linear Equations unit test will be on Thursday, Mar 9 and Friday, Mar 10

**Mar 8**

Block D saw Review worksheet 2 as well. Answer key available here.

The Unit 5 – Slope & Linear Equations unit test will be on Thursday, Mar 9 and Friday, Mar 10

**Mar 6/7**

Complete the review worksheet to prepare for the test this week.

The Unit 5 – Slope & Linear Equations unit test will be on Thursday, Mar 9 and Friday, Mar 10

**Mar 2/3**

Slope is Rate of Change

Page 327 #12,13

Page 334 #17,18

Page 379 #13,17

There will be a quiz next class

The Unit 5 – Slope & Linear Equations unit test will be on Thursday, Mar 9 and Friday, Mar 10

**Feb 28/Mar 1**

Slope-Point Form

Page 337 #1,2,3,5,6 (a,c,e for each)

There will be a quiz in two classes

The Unit 5 – Slope & Linear Equations unit test will be on Thursday, Mar 9 and Friday, Mar 10

**Feb 23/27**

General Form

Page 365 #1-5

**Feb 21/22**

Parallel & Perpendicular Lines day 2

Page 390

Option 1: #3,6, 7ab,8,12*

Option 2: #3ab, 4ab, 6ab, 7ab, 12, 15,16, 21*, 23*

**Feb 17/20**

Quiz today;

Parallel & Perpendicular Lines

page 390 #1ace,2ace,5ace, 9*,11*,14*

**Feb 15/16**

Slope-Intercept forms of Linear Relations

Block D: Page 351 #6,7,9,12

There will be a quiz next class.

**Feb 10/14**

Slopes of Linear Relations

Page 325 #1-4,8*,10,11

Page 351 #10

**Feb 8/9**

Solving and manipulating equations

1. p. 350 #5

2. Worksheet #2,4,5,8,11,12 (a and c only) – there is an answer key at the end.

**Feb 6/7**

Midterm today

**Feb 2/3**

Students are preparing for the midterm next class.

Students will be allowed the use of a handwritten “cheat sheet” that can be filled with notes or examples.

There will be a midterm on Monday, Feb 6 and Tuesday, Feb 7. It will cover Units 1 – 4 of this course.

**Jan 31/Feb 1**

Students are preparing for the midterm in 2 classes.

Students will be allowed the use of a handwritten “cheat sheet” that can be filled with notes or examples.

There will be a midterm on Monday, Feb 6 and Tuesday, Feb 7. It will cover Units 1 – 4 of this course.

**Jan 26/27**

Students wrote the functions unit test.

There will be a midterm on Monday, Feb 6 and Tuesday, Feb 7. It will cover Units 1 – 4 of this course.

**Jan 24/25**

Complete the review booklet to prepare for the chapter test next class.

The Unit 4 – Function Notation unit test will now be on Thursday, Jan 26 and Friday, Jan 27.

**Jan 20/23**

Review page 330 #3,4,5,6,7,8,10,11,13

The quiz will now be on Tuesday, & Wednesday.

The Unit 4 – Function Notation unit test will now be on Thursday, Jan 26 and Friday, Jan 27.

**Jan 18/19**

Complete the composite function notation worksheet.

There will be a function notation quiz next class.

The Unit 4 – Function Notation unit test will be on Tuesday, Jan 24 and Wednesday, Jan 25.

**Jan 16/17**

Complete the function notation worksheet.

**Jan 12/13**

6.4 – Function Notation

Page 311 #2,4,5,6,8,11,15*

**Jan 10/11**

Domain & Range day 3

Page 301 #2,3,4a,6,8,9

There will be a domain and range quiz next class (Thur/Fri).

**Jan 6/9**

1. Domain and Range day 2 worksheet

2. Page 301 #1, 9

**Jan 4/5**

Complete the examples on the domain and range page.

**Jan 3**

Block G will have a quiz next class.

**Dec 14/15**

Block D will have a quiz next class (on Friday).

Block G will have a quiz on Thursday, Jan 5.

**Dec 12/13**

Complete the graphing on the worksheet and

complete 6.2 Page 287 #1,2,3,4,6,8

**Dec 8/9**

6.1 – Page 274 #2,3,4,11

**Dec 6/7**

Students wrote the Unit 3 – Factoring Polynomials unit test. Complete the graphing stories puzzle worksheet: “When does green mean stop and red…”.

**Dec 1/2**

Complete the review worksheet.

The Unit 3 – Factoring Polynomials unit test will next class (on Tuesday, Dec. 62 and Wednesday, Dec. 7).

**Nov 29/30**

Complete the worksheet.

The Unit 3 – Factoring Polynomials unit test will on Tuesday, Dec. 6 and Wednesday, Dec. 7.

**Nov 25/28**

Two sections from the textbook

Page 234 #6ace, 7d, 9ac, 10ac, 15, 20*

Page 246 #2ac, 3acd, 5ace, 7*ace, 17*

**Nov 23/24**

Complete the worksheet on perfect square trinomials and difference of squares. #1-4 (a,c,e for each), 5,6

**Nov 21/22**

Complete the \(ax^2 + bx + c\) worksheet. Do the 6 expanding questions on the worksheet and do the Dracula factoring questions on lined paper.

**Nov 17/18**

Still more factoring

Students should complete at least 12 questions on the Applications Worksheet.

There will be a quiz next class.

**Nov 15/16**

More factoring trinomials

There is a whole page of practice that students can do for this.

**Nov 10/14**

Factoring Trinomials by Decomposition

Page 234 #3 and 5

**Nov 2/3**

Wrote the Unit 2 – Expanding Polynomials unit test. No homework.

**Oct 31/Nov 1**

Complete the review worksheet.

The Unit 2 – Expanding Polynomials unit test will be next class.

**Oct 27/28**

Quiz

Complete the algebra tile worksheet

The Unit 2 – Expanding Polynomials unit test will be on Wednesday, Nov. 2 and Thursday, Nov. 3.

**Oct 25/26**

Geometric examples of Multiplying Polynomials

Try some examples from the worksheet.

Quiz #2 will be next class (Thurs/Friday)

The Unit 2 – Expanding Polynomials unit test will be on Wednesday, Nov. 2 and Thursday, Nov. 3.

**Oct 19/20**

Quiz today.

More complicated examples of Multiplying Polynomials

Page 209 #4c, 4f, 6b, 11,12,15

**Oct 17/18**

Multiplying Polynomials

Page 209 #3ab,4ab,6a,10,13

There will be a quiz next class.

**Oct 13/14**

Complete the worksheet:

Multplying monomials and polynomials

**Oct 11/12**

Complete the worksheet:

– practice adding/subtracting polynomials

– practice multiplying parts of numbers together to get partial products.

**Oct 6/7**

Students wrote a Unit 1 – Numbers & Number Systems test.

Complete the polynomials worksheet.

**Oct 4/5**

Complete the Plenty of Numbers worksheet for next class. Practice for test.

The Unit 1 – Numbers & Number Systems unit test will be on Thursday, Oct. 6 and Friday, Oct. 7.

**Sept 30/Oct 3**

Review worksheet.

There will be a quiz next class (Tues and Wed).

The Unit 1 – Numbers & Number Systems unit test will be on Thursday, Oct. 6 and Friday, Oct. 7.

**Sept 28/29**

Complete the worksheet: Powers and Scientific Notation

There will be a quiz in two classes (Tues and Wed).

The Unit 1 – Numbers & Number Systems unit test will be on Thursday, Oct. 6 and Friday, Oct. 7.

**Sept 26/27**

Simplifying powers and writing negative exponents as positive.

Page 169 #2,5ace,7

There will be a quiz in .

**Sept 21/22**

Review of Powers and Exponents. Complete the back of the worksheet.

**Sept 19/20**

The Real Number System: Rational and Irrational Numbers worksheet.

Complete for next day.

There will be a quiz next class.

**Sept 15/16**

Squares, Square Roots, Cubes, Cube Roots worksheet.

Complete for next day.

**Sept 13/14**

Complete the three questions on the projector at the end of class.

1. Do a prime factorization of…

2. Calculate the greatest common factor of…

3. Calculate the lowest common multiple of…

**Sept 9/12**

Looked at prime factorization and divisibility. Complete the worksheet that was handed out. There is an answer key for the last half of it on the back page.

**Sept 7 and 8**

Investigate which reciprocals of whole number have repeating as opposed to terminating decimal. Colour Calculator

Discover at least one pattern that can be seen by looking a the numbers of repeating and non-repeating digit in the decimal equivalents of the reciprocals of whole numbers.

**Unit 1 – Numbers and Number Systems**

By the end of this chapter, you will be able to…

- 1A – write a number as the product of prime factors
- 1B – determine the greatest common factor (GCF) and lowest common multiple (LCM) for a set of 2 or 3 numbers
- 1C – use prime factorization to determine the square and cube root of perfect squares and perfect cubes, including large and small numbers and fractions
- 1D – use prime factorization to explain why a number will have a rational or irrational square or cube root
- 1E – demonstrate an understanding of the classification of real numbers (real, irrational/rational, integers, whole numbers, natural numbers)
- 1F – order and irrational numbers in ascending or descending order
- 1G – apply exponent laws to simplify expressions
- 1H – explain, using patterns why a negative exponent can be written as the reciprocal of a positive exponent
- 1I – express numbers in scientific notation
- 1J – calculate the value of a power or radical
- 1K – convert powers to radicals and vice versa
- 1L – convert between whole radicals and mixed radicals

**Unit 2 – Polynomials 1 – Expanding**

By the end of this chapter, you will be able to…

- 2A – multiply a monomial by a polynomial and collect like terms if possible
- 2B – FOIL – multiply a binomial by a binomial, including perfect squares and difference of squares
- 2C – multiply a polynomial by a polynomial
- 2D – add or subtract products of polynomial expansion
- 2E – apply multiplying polynomials in geometric applications: area, volume, etc.

**Unit 3 – Polynomials 2 – Factoring**

By the end of this chapter, you will be able to…

- 3A – determine the greatest common factor of numbers or terms
- 3B – factor out the greatest common factor from a polynomial
- 3C – factor a difference of squares and a sum of squares
- 3D – factor a polynomial with four terms into two binomials
- 3E – factor a trinomial into two binomials with a leading coefficient of 1
- 3F – factor a trinomial with a leading coefficient not equal to 1 into two binomials
- 3G – factor polynomials that appear in geometric applications: area, volume, etc.

**Unit 4 – Functions & Relations**

By the end of this chapter, you will be able to…

- 4A – determine the equation of a linear relation, in the form y = mx + b
- 4B – determine the inputs or outputs of functions
- 4C – identify the domain or range of a relation using interval or set notation, or draw a relation with a specific domain and range
- 4D – explain whether a relation is a function or not
- 4E – use function notation for an algebraic or graphical function
- 4F – use function notation for an algebraic or graphical composite function

**Unit 5 – Slopes and Graphing of Linear Relations**

By the end of this chapter, you will be able to…

- 5A – solve or manipulate an equation, including converting between these forms of linear equations:
- the general form of a linear equation
**Ax + By + C = 0**- A > 0;
- A, B, C are integers

- the slope-intercept form of a linear equation y = mx + b
- the slope-point form y-y1 = m(x-x1)

- the general form of a linear equation
- 5B – Determine the slope of a line when given a
- an equation in any form
- graphed line
- the coordinates of two or more points on the line

- 5C – find the equation of a line given
- another form of the equation
- a graphed line
- the coordinates of two or more points on the line
- a point and the slope (or th elope of a parallel or perpendicular line)
- a description of a relation

- 5D – plot a linear function that is given by
- a slope-point form of its equation
- a general form of its equation
- a slope-intercept form of its equation
- the coordinates of two or more points on the line
- a point and the slope (or th elope of a parallel or perpendicular line)
- a description of a relation

- 5E – determine the x- and y-intercepts of a line
- 5F – determine other points (solutions) on the line and determine whether a point is a solution to a linear equation
- 5G – use a linear equation to solve a rates of change problem

**Unit 6 – Systems of Linear Relations (Algebra & Graphing)**

By the end of this chapter, you will be able to…

- 6A – Plot systems of linear equations (see 6D above for plotting expectations
- 6B – Determine whether a point is on a line or not, and explain algebraically and graphically, what a solution to a system represents
- 6C – Solve a system of equations graphically
- 6D – Determine the number of solutions of a system of equations and describe systems as consistent or inconsistent
- 6E – use substitution to algebraically solve a system
- 6F – use elimination to algebraically solve a system
- 6G – solve a two-variable problem that involves a system of linear equations

**Unit 7 – Trigonometry of Right Triangles**

By the end of this chapter, you will be able to…

- 7A – obtain (from both a trig table and a calculator) an appropriate trig ratio value
- 7B – give the angle for a specific trig ratio (using a calculator and trig table)
- 7C – calculate the length of a side or the measure of an angle in a right triangle
- 7D – calculate angles or sides in problems involving two right triangles
- 7E – solve problems from a picture or description involving one or more right triangles
- 7F – solve (know the measure of all angles and lengths of all sides of) triangles using trigonometry, the Pythagorean Theorem, and angles in a triangle = 180 degrees

By the end of this chapter, you will be able to…

- 8A – identify an appropriate (metric or imperial) unit of measurement and be able to estimate the length or distance in various units
- 8B – use proportions to convert units within and between the SI and Imperial measurement systems
- 8C – measure using the SI and imperial systems of measurements
- 8D – use unit analysis to convert between units, including rates (e.g. km/h, or g/cm^3)
- 8E – calculate area and surface area and solve problems related to these measurements
- 8F – calculate volume and solve problems related to these measurements