# Math Foundations & Pre-Calculus 10 2016-17

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
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
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 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

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)
• 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

Unit 8 – Measurement

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

s a n d s
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