# Math Foundations & Pre-Calculus 10 2015-16

Important Information

Course Outline
Ministry of Education Math 10 curriculum

Data page from the Provincial Exam

Practice exams and other info for Math/English/Science
The Provincial Exam for Math 10 courses will be on Monday, June 27 at 1:00 pm. I advise you to be at school 30 minutes early.

We are currently working on Unit 7 – Trigonometry.

The Unit 7 – Trigonometry unit test will be on Monday, June 13.
The Unit 8 – Measurement unit test was on Monday, May 30.

June 13
Students wrote the Unit 7 – Trigonometry unit test. We spent the rest of the class working on the multiple choice booklet to prepare for the provincial exam.
Students were also given a booklet of practice multiple choice questions to prepare for the provincial exam.

June 10
To prepare for the chapter test, students have a worksheet with some more difficult trigonometry problems. They can do any of the practice in the textbook as well (for example, page 136).
The Unit 7 – Trigonometry unit test will be on Monday, June 13.
Students were also given a booklet of practice multiple choice questions to prepare for the provincial exam.

June 7
Students saw that the calculator can calculate angles using the inverse trig operations.
There will be a quiz next class (Thursday).
The Unit 7 – Trigonometry unit test will be on Monday, June 13.
Students were also given a booklet of practice multiple choice questions to prepare for the provincial exam.

June 3
Sine, Cosine, & Tangent – Students have a worksheet to complete, using their calculator rather than a trig table to get trig ratios.

June 1
Students began trigonometry by using trig tables to find ratios. Complete the handout for next class.

May 30
Students wrote the measurement test and were given the intro worksheet to our final unit: Trigonometry. Complete it for next class.

May 26
There was a quiz today. Students have a review worksheet with an answer key on the back to prepare for the test next class.
The Unit 8 – Measurement unit test will be on Monday, May 30.

May 24
Volume
page 86 #1,3,5
There will be a quiz next class.
The Unit 8 – Measurement unit test will be on Monday, May 30.

May 18
Students continued working on Surface Area.
There will be a quiz on Thurs. May 26
The Unit 8 – Measurement unit test will be on Monday, May 30.

May 16
Complete the front of the worksheet.
Then complete page 74 #1,4,6,10
If time, work on the back of the worksheet.

May 12
Students worked on three concepts:
1. Unit conversions
2. Length measurement using cm and inches
3. Surface Area

May 10
Saw two (initially different-looking, but ultimately similar) methods to converting measures of length from one unit to another.
Page 42 #2,10,11
Page 50 #10,11

May 6
Wrote the Powers & Radicals unit test.
Complete the worksheet on measurement in the metric system.

May 4
We started work on a Measurement unit by looking at the metric system.
complete the questions on the handout, and do page 15 #1,5
The Unit 1b – Powers, Roots, & Radicals unit test will be next class: Friday, May 6.
If you want more practice to prepare for the test next class, try page 197 #11-24.

May 2
Unit Review worksheet with answer key given today.
Try an assortment of questions on the review to prepare for the quiz next day and the test in two classes.
There will be a quiz on Wednesday.
The Unit 1b – Powers, Roots, & Radicals unit test will be Friday, May 6.

April 28
Converting between mixed and entire radicals.
page 192 #4,5,6,7 (a,c,e… for each).
There will be a quiz on Wednesday.
The Unit 1b – Powers, Roots, & Radicals unit test will be Friday, May 6.

April 26
Complete the second and fourth column of questions on both sides of the Powers and Roots worksheet.
There will be a quiz on Monday.

April 22
4.3 Powers with Rational Exponents
Page 180 #1,2,5,(a,c,e… for each), then 6,9,10

April 20
Wrote the Unit 6 – Systems of Equations test.
Had a reminder of fraction operations and simplifying powers.

April 19
Students wrote the solving systems algebraically quiz.
Complete the review worksheet. The answer key for the graphing is here.
The Unit 6 – Systems of Linear Equations unit test will be tomorrow: Wednesday, April 20.

April 13
Be able to solve by substitution and by elimination and solve word problems
Page 475 #10,11,16
Page 440 #3,4,11
Page 498 #3,5,7
Quiz next class – *** Tuesday ***
Test in two classes – *** Wednesday ***
The Unit 6 – Systems of Linear Equations unit test will be on Wednesday, April 20.

April 11
Page 474 #2ac4ac,10
Page 458 #16
Page 488 #1ac,2abc

April 7
9.1 Page 474 #1abc

April 5
8.3 – Numbers of solutions of Systems of Equations
Page 454 #1,2,3,4,9,10,12
There will be a quiz next class.

April 3
8.3 – Numbers of solutions of Systems of Equations
Page 454 #1,2,3,4,9,10,12
There will be a quiz next class.

April 1
8.1 – Solving Systems of Equations Graphically
Page 427 #3,4,5,6,14,15

March 30
Students had a bit of an introduction to systems of llinear equations. We looked at the midterm exam as well.

March 11
Students wrote the Unit 5 – Slope & Linear Equations unit test.

March 9
Reviewing for unit test. Students were given a worksheet with an answer key.
The Unit 5 – Slope & Linear Equations unit test will be next day on Friday, March 11.

March 7
Quiz today. The unit test is in two classes, so we will be reviewing next day.
The Unit 5 – Slope & Linear Equations unit test will be on Friday, March 11.

March 3
Slope as Rates of Change
Page 327 #12,13
Page 334 #17,18
Page 379 #13,17
There will be a quiz on Monday.
The Unit 5 – Slope & Linear Equations unit test will be on Friday, March 11.

March 1
Slope-Point Form of the Linear Equation
page 377 #1,2,3,5,6 (a,c,e for each)
There will be a quiz on Monday.

Feb 26
General Form of the Linear Equation
page 365 #1-5

Feb 24
Parallel & Perpendicular Lines Day 2
page 390 #3,4,6ab,7ab

Feb 17
We are continuing to look at Unit 5 – Slopes, Equations, & Linear Relations.
Parallel & Perpendicular Lines
page 390 #1,2,5

Feb 15
Students wrote the midterm.
We will continue to look at Unit 5 – Slopes, Equations, & Linear Relations next class.

Feb 11
Students continued reviewing for the midterm exam that is on Monday.
The review worksheets that have been handed out have answer keys here.

Feb 9
Students are beginning two classes of review to prepare for the midterm exam that is on Monday.

Feb 3
The Slope-Intercept form of the equation: y=mx+b
Page 350 #6,7,9,12
There will be a quiz next class.

Feb 1
Slope
Page 350 #1-4,8,10,11

Jan 28
Solving equations and manipulating equations
Page 350 #5
Worksheet #2,4,5,8,11 (a and c for all)

Jan 26
Students wrote the unit 4 test.
There is an algebra review worksheet reminding students of solving equations.

Jan 22
Students wrote a function notation quiz and are reviewing for the chapter test next class.
The unit 4 test will be on Tuesday, Jan 26.

Jan 20
Students practiced function notation and began reviewing for the chapter test.
Page 330 #3 – 8, 10,11,13
There will be a function notation quiz on Friday.
The unit 4 test will be on Tuesday, Jan 26.

Jan 18
Complete the worksheet on composite functions.
There will be a function notation quiz on Friday.
The unit 4 test will be on Tuesday, Jan 26.

Jan 14
Students wrote the second quiz on Functions.
Page 311 #2,4,5,8,11, 15*
There is a worksheet as well on function notation.

Jan 12
There will be a quiz next day on domain and range, and on functions.

Jan 8
Domain & Range day 2
Complete the worksheet
There will be a quiz on Thursday.

Jan 6
Domain & Range day 1
No homework

Jan 4, 2016
Continued to look at relations.
Page 287 #1,2,3,4,6,8

Dec 17
Students wrote a quiz and worked on puzzles. There is no homework. Enjoy the break!

Dec 15
There will be a quiz next day on linear relations and substituting values into an expression.

Dec 11
Students looked at linear relations and other kinds of relations. Complete the practice on the handout.

Dec 9
Started Functions & Relations
Page 274 #2,3,4,11

Dec 7
Students wrote the unit test for Unit 3 – Factoring Polynomials; no homework.

Dec 3
Students practiced the skills that we have looked at in this unit. Students worked on a review worksheet with an answer key on the back.
The Unit 3 – Factoring Polynomials unit test will be on Monday, December 7.

Dec 1
Students practiced the skills that we have looked at in this unit. I put off the quiz and the test, so we will write the quiz on Thursday and the chapter test next monday.
There will be a quiz on Thursday.
The Unit 3 – Factoring Polynomials unit test will be on Monday, December 7.

Nov 26
Factoring Two Special Cases worksheet. Try a couple examples from each section of questions.
There will be a quiz on Tuesday.
The Unit 3 – Factoring Polynomials unit test will be on Thursday, December 4.

Nov 18
Day 3: More practice with factoring trinomials in the form: $x^2+bx+c$ . We looked at decided whether numbers are factorable or not.
There will be a quiz on Friday.

Nov 16
Day 2 of factoring polynomials. We started factoring trinomials in the form: $x^2+bx+c$ .
Students should complete page 234 #3,5.
There will be a quiz on Friday.

Nov 12
We began factoring polynomials. Students should complete Page 220 #1ac,4ace,5ace,6ace,7ace,10,13,16

Nov 9
The Unit 2 – Expanding Polynomials unit test was written today. Students should complete the worksheet that was given out after the test.

Nov 5
Students have a review worksheet with an answer key to get ready for the unit test.
The Unit 2 – Expanding Polynomials unit test will be on Monday, November 9.

Nov 3
Students wrote the second expanding polynomials quiz. We looked at using algebra tiles to represent multiplying polynomials. Complete the worksheet for next class.
The Unit 2 – Expanding Polynomials unit test will be on Monday, November 9.

Oct 30
Applying Polynomials to Lengths, Areas, and Volumes worksheet
There will be a quiz next day
The Unit 2 – Expanding Polynomials unit test will be on Monday, November 9.

Oct 28
Multiplying Polynomials: Page 209 #4c,4f,11,12,15

Oct 26
Wrote quiz today. Complete Number dating profile.

Oct 21
Page 209 #3ab,4ab,6a,10,13
Quiz next day.
Complete Number dating profile.

Oct 19
Complete the EVEN numbers on the multiplying monomials worksheet.

Oct 15
Complete the worksheet to practice adding & subtracting polynomials and using the distributive property.

Oct 13
Students wrote the Unit 1 test.

Oct 8
The Unit 1 test will be on Tuesday, Oct 13. There will be a calculator section and a non-calculator section.

Oct 6
Complete #1-12 on the scientific notation worksheet and the common powers worksheet.
There will be a quiz next class. The Unit 1 test will be on Tuesday, Oct 13.

Oct 2
Simplifying powers and writing negative exponents as positive exponents.
Page 169 #2,5ace,7.
There will be a quiz on Thursday. The Unit 1 test will be on Tuesday, Oct 13.

Sept 30
STudents should complete the geometric powers page and the powers pattern that was on the projector at the end of class.

Sept 28
The class looked at the differences between rational numbers and irrational numbers. No homework.

Sept 23
Complete the true and false questions about the number systems.
There will be a quiz next class.

Sept 13
Using factors to determine greatest common factors.
Complete the questions that were on the screen in class today.

Sept 11
We looked at factors and saw that divisibility rules help with factoring numbers.

Sept 9
Complete the scaling a recipe larger and smaller, and the multiplicative patterns on the back. There will be some time next day to work on the Who I Am page.

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

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