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Math Foundations & Pre-Calculus 10 2013-14

Important Information

Course Outline
Ministry of Education Math 10 curriculum

Math 10 Provincial Exams will be on Wednesday, June 18 at 9:00 am.
Data page from the Provincial Exam

Practice exams and other info for Math/English/Science

We are currently working on Final Exam Review.
The Unit 8 – Measurement unit test will be on June 3 (not May 30) and June 4.
The Unit 2b – Powers & Radical mini-unit test was on Tuesday, May 6, and Wednesday, May 7.
 
 
 
June 3/4
Mesasurement test
We worked on the final exam practice booklet after the test.
 
May 29/30
Measurement review
page 52 #1ac,3aceg,5d,6a,11abcd
There will be a measurement test next day on June 2/3.
 
May 26/27
Mass/Density
complete the handout
There will be a quiz next day on rulers, surface area, and volume on Wednesday, May 28/Thursday, May 29.
There will be a measurement test on June 2/June 3.
 
May 21/22
Volume
Workbook pages…
There will be a quiz on rulers, surface area, and volume on Wednesday, May 28/Thursday, May 29.
There will be a measurement test on May 30/June 2.
 
May 21/22
Volume
Workbook pages…
There will be a quiz on rulers, surface area, and volume on Wednesday, May 28/Thursday, May 29.
There will be a measurement test on May 30/June 2.
 
May 16/20
Surface Area day 2
page 39 #9, 16
page 46 #2,7,14,19
There will be a quiz on rulers, surface area, and volume on Wednesday, May 28/Thursday, May 29.
There will be a measurement test on May 30/June 2.
 
May 14/15
Area and Surface Area
page 25 #1ac,6
page 37 #3c
page 44 #1a,e,g,h,i,j
 
May 12/13
We looked at measuring using the imperial system. Complete:
– the rulers practice worksheet,
– the feet/inches worksheet
If there had been a lot more time, I would have assigned page 13 #4h,8,9 and page 18 #3fgh
There will be a converting units quiz on Wednesday/Thursday next week.
 
May 8/9
Students continued to convert units, but saw how to use unit analysis to convert units and to convert rates.
page 12 #1,2ace,3ace
page 17 #1,3ace,6,12
There will be a converting units quiz on Wednesday/Thursday next week.
 
May 6/7
Students are writing the powers and radicals test. Complete the metric lengths unit conversion questions.
 
May 2/5
Review for the powers and radicals test. Work on worksheet.
 
Apr 30/May 1
More radicals practice and started Measurement
Page 90 #3bd, 9bd
Page 6, 1, 3 (a-f for each)
 
Apr 28/29
We looked at converting between whole radicals and mixed radicals.
page 89 #2-5,9-12 (block A should do a,c,e for each; block F should do a and c for each)/
There will be a quiz next day on evaluating and simplifying powers, and converting between exponents and radicals.
 
Apr 24/25
Exponents and radicals worksheet
page 1 – a,d,g,j…
page 2 – a,c,e…
 
Apr 22/23
Powers with fractional exponents
Page 106 – 109
#7a-h, 8 left side, and 11 left side
page
 
Apr 16/17
We wrote the Unit 7 – Systems of Equations test.
 
Apr 14/15
Complete a few questions from each page of the review worksheet. There will be a unit test next class.
There will be a unit 7 test on Wednesday/Thursday April 16/17
 
Apr 9/10
Complete the solving systems of equations handout.
There will be a quiz on Monday/Tuesday. It will have 7 questions:
– 2 solving by substitutions, 4 solving by elimination, 1 word problem
There will be a unit 7 test on Wednesday/Thursday April 16/17
 
Apr 7/8
We looked at solving systems by elimination

Block A should try page 295 #2a,c,k,q,s
Block F should try page 295 #2a,c
There will be a quiz on Monday/Tuesday.
There will be a unit 7 test on Wednesday/Thursday April 16/17
 
Apr 3/4
Page 287 #1-3,4ac,6ac,11
page 300 #1acem
There will be a quiz next class (Monday and Tuesday) on # of solutions and solving systems graphically.
 
Apr 1/2
Number of solutions in a system of equations
Block A should do the graphing and equations review worksheet. Answer key here.
 
Mar 14/31
We started systems of linear equations
page 288 #4bdfg, 5, 6bdghl, 10
 
Mar 12/13
Linear Equations unit test; no homework
 
Mar 10/11
The class wrote a quiz on the slope-point form of a linear equation.
Students were given a review worksheet with an answer k ey to review for test next day.
 
Mar 6/7
We looked more at the slope-point form of the equation.
page 267 #1,2,4
page 188 #5
page 218 #5,6,15
we will have a quiz next class.
 
Mar 4/5
We looked at the slope-point form of the linear equation.
page 247 #5ab, 10ce, 11ab
There will be linear equations unit test in 3 classes.
 
Feb 28/Mar 3
We looked at parallel and perpendicular lines.
Page 233-235 #1(all but i), 2, 3ace, 6, 11-13
There will be a quiz next day on the general form of the equation, x and y intercepts and slopes of parallel and perpendicular lines.
 
Feb 26/27
We looked at parallel and perpendicular lines. Block F should look at examples 1-5 on the worksheet.
 
Feb 24/25
Working with the general form of an equation. X and Y intercepts
worksheet in notes #1a,c,e, 4a,c,e (answer key attached to back)
page 185 #1(all), 4a-e
page 225 #2,a,c,e, 6a,c,e
 
Feb 19/20
Writing the equation of a line, and graphing an equation in slope-intercept form.
page 187 #4f-k
page 223 #1,3,4,5,6 (“odd” letters: a,c,e… for each)
 
Feb 17/18
Calculating slope from a graph, a table of values, or two ordered pairs
page 208 #1a,b,c,d, 2, 3, 4, 5a,c,e,k, 6
 
Feb 13/14
We looked at solving (or manipulating) equations.
worksheet #2,4,5,8,11 (a and c for each)
page 246 #3,4,5,6 (a,c,e for each)
 
Feb 11/12
Midterm today; no homework.
 
Feb 6/7
We practiced for the upcoming midterm.
There will be a midterm exam covering the first five units of the year next class.
 
Feb 4/5
We practiced for the upcoming midterm.
There will be a midterm exam covering the first five units of the year on Tuesday Feb 11, and Wednesday Feb. 12.
Jan 31/Feb 3
We wrote a functions unit test today. There will be a midterm exam covering the first five units of the year on Tuesday Feb 11, and Wednesday Feb. 12.
 
Jan 29/30/
We wrote a function notation quiz today. Complete the review worksheet for next class. There will be a functions unit test next class.
 
Jan 27/28/
Composite function worksheet
There will be a function notation quiz on next class, and a unit test on Friday Jan. 31 and Monday Feb 3.
 
Jan 23/24
Students worked on a function notation worksheet.
Students should do:
– front: a (i-v) and b (i-v)
– back: a,c,e,g,i.
There will be a function notation quiz on Monday and Tuesday, and a unit test on Friday Jan. 31 and Monday Feb 3.
 
Jan 21/22
We wrote a domain and range quiz.
We will continue to look at function notation next day.
There will be a function notation quiz on Monday and Tuesday, and a unit test on Wednesday, and Thursday next week.
 
Jan 16/17
We practiced domain and range.
We also have begun to look at function notation.
 
Jan 14/15
Functions quiz 1
We looked at more examples of domain and range.
Block F also looked at the vertical line test to determine if a relation is a function or not. Block F should complete the worksheets.

 
Jan 10/13
Domain and range
page 169 #5,6,7,10(not d)
Quiz next day.

 
Jan 8/9
Representations of functions
Complete the examples on the front and the back of the handout.

 
Jan 6/7
Start of Unit 5 – Functions
Reminder of writing the equation of a linear relation. We also looked at substituting values into an equation or expression.
Students should do 1,2ab,3,4,6b,7, *2cd,8 on the worksheet.

 
Dec 18/19
The class wrote the factoring test.

 
Dec 16/17
We practiced factoring. Students should be prepared for the factoring unit test next class.

 
Dec 12/13
We did some much-needed practice on factoring difference of squares and perfect square trinomials.
Students should try page 137 #7,10,11
The Factoring Polynomials test will be on Wed, Dec. 18 and Thurs, Dec. 19.

 
Dec 10/11
Students looked at factoring perfect square trinomials. There was a worksheet with an answer key available to check your work. Block A should do #4-10 (a and c only). Block F should complete #4-10 (a only).
The Factoring Polynomials test will be on Wed, Dec. 18 and Thurs, Dec. 19.

 
Dec 6/9
We wrote a quiz today. We looked at factoring a difference of squares.
There is no homework, although students who found the quiz difficult should practice the topics we have seen so far this unit.

 
Dec 4/5
We looked at factoring trinomials that have a leading coefficient.
Students should complete the questions that are on the notes handout. Students should also do at least the first 7 questions on the “when is the wrestler king of the ring?” worksheet.
There will be a quiz next class.

 
Dec 2/3
We factored polynomials with 3 and 4 terms.
Page 136 #5,6 “odd” letters
Page 143 #6,7 “odd” letters
There will be a quiz in two classes.

 
Nov 28/29
We looked at finding greatest common factors (GCF) and factoring polynomials.
do page 134-135 #1-4 “odd” letters (a,c,e…) Skip #4i.

 
Nov 26/27
The class wrote the Expanding Polynomials unit test today.
There was a handout for people to do for next day to get ready for Factoring Polynomials.

 
Nov 21/25
We reminded ourselves of algebra tiles.
We have a review worksheet.
Do #1ab, 3abcf, 4a, 6abc
or #1ab, 3ab, 4ac, 7, 14

 
Nov 15/18
Quiz today
We looked at area and volume of shapes.
Practice this in your workbook. Page 130 and 137.
Chapter test next week.

 
Nov 15/18
We multiplied polynomials by polynomials and we cubed binomials. Students should do the worksheet #3ab,4ab,5ab,6,7,8.
There will be a quiz on Tuesday/Wednesday.

 
Nov 13/14
We multiplied binomials by binomials. Students should practice with page 128 #1a-f, 2, 3. Do a few questions from each.

 
Nov 8/12
Students should complete the multiplying a monomial times a polynomial questions on pages 4 and 5 of the worksheet from today.
There will be a quiz next class on combining like terms, multiplying numbers and multiplying monomials times a polynomial.

 
Nov 6/7
We started to look at multiplying and had a reminder of like terms in polynomials. Students should complete the worksheet.

 
Nov 4/5
Unit 2 (numbers and number system) test today. Do the multiplying/dividing monomials worksheet that was given out afterwards.

 
Oct 31/Nov 1
We had some scientific notation practice.
We had a review worksheet to work on. Answer key available Review solutions.
We will have a unit test next class on Nov. 4 and 5.

 
Oct 29/30
We wrote a quiz on powers and exponents.
We looked at scientific notation. Students should do the odd numbers on the worksheet. There is an answer key on the back.
We will have a unit test on Nov. 4 and 5.

 
Oct 24/28
We practiced simplifying powers using exponent laws.
We looked at writing powers with negative exponents as the reciprocal of the positive exponent. Students should practice this by looking at pages 103 – 105 in the workbook. Block F should do #3,4,5,6 (a-d for each)
There will be a quiz next day on powers and exponent laws. We will have a unit test on Nov. 4 and 5.

 
Oct 22/23
Students wrote a quiz on the rational vs. irrational numbers as well as square and cube roots. Block A should do alternating letters a,c,e… on the powers and exponents worksheet.

 
Oct 18/21
Students completed the handouts on the number systems, and worked on page 58 in the workbook.
Block F students should also complete the first two pages of the powers and exponents worksheet.
There will be a quiz next class on the number systems and square and cube roots.

 
Oct 16/17
We talked about square and cube roots. Students in block A should do page #83 #1-5,7 (abcd for all). Students in block F should the workbook questions as well as describing the first 4 numbers on the rational/irrational numbers handout.

 
Oct 11/15
We looked at the square and cube roots of perfect and non-perfect squares. Block A should complete the first 3 pages of the worksheet. Block F should do the first 4 pages.
There will not be tests this week.

 
Oct 9/10
We practiced divisibility rules, prime factorization, GCF, LCM, and square and cube roots. We wrote a quiz on this.

 
Oct 7/8
We looked at perfect squares and perfect cubes. There will be a quiz next day with no calculators.

 
Oct 3/4
We looked at greatest common factors and lowest common denominators.

 
Oct 1/2
We did divisibility rules. Complete the worksheet. Answer key here.

 
Sept 27/30
Chapter test today; no homework.

 
Sept 25/26
We reviewed how to solve triangles.
We looked at applications of trigonometry on worksheets here and here. The answer key is here.

There will be a trigonometry test next class (on Friday/Monday).

 
Sept 23/24
The class wrote trig quiz 2.

Students should solve the two triangles that they copied. There will be a trigonometry test in two classes (on Friday/Monday).

 
Sept 18/19
We worked on the inverse trig functions. Complete the worksheet.

There will be a quiz on Monday/Tuesday next week. It will cover the three trig functions, as well as the inverse trig functions.

 
Sept 16/17
The classes wrote Trig quiz 1. Block A has no homework. Block F was still working on “The Trig Ratios: Sin, Cos, Tan”. Students should do #1abc,ijk and #7cd.

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

 
Sept 12/13
The A block class had no homework. The F block was still working on the Trig Using Any Angles worksheet. They should do #1-9 on that page. Here is the answer key.

There will be a quiz on trigonometry next class. There will be a calculator and non-calculator section.

 
Sept 10/11
Complete the finding the length questions on the 30-60-90 and 45-45-90 triangles handout.

 
Sept 4
No homework. We will go over the Math 9 review at the start of class next day.

 

 

Unit 1 – Trigonometry of Right Triangles

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

  • 1A – obtain (from both a trig table and a calculator) an appropriate trig ratio value
  • 1B – give the angle for a specific trig ratio (using a calculator and trig table)
  • 1C – calculate the length of a side or the measure of an angle in a right triangle
  • 1D – calculate angles or sides in problems involving two right triangles
  • 1E – solve problems from a picture or description involving one or more right triangles
  • 1F – solve triangles using trigonometry, the Pythagorean Theorem, and angles in a triangle = 180 degrees

 

Unit 2 – Numbers and Number Systems

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

  • 2A – write a number as the product of prime factors
  • 2B – determine the greatest common factor (GCF) and lowest common multiple for a set of 2 or 3 numbers
  • 2C – determine the square and cube root of perfect squares and perfect cubes, including large and small numbers and fractions
  • 2D – estimate the square and cube root of numbers that are not perfect squares or cubes
  • 2E – demonstrate an understanding of the differences and classificationsof real numbers (rational and irrational numbers)
  • 2F – order irrational numbers
  • 2G – apply exponent laws to simplify powers
  • 2H – explain, using patterns why a negative exponent can be written as the reciprocal of a positive exponent
  • 2I – express numbers in scientific notation
  • 2K – calculate the value of a power or radical
  • 2L – convert powers to radicals and vice versa
  • 2M – convert between whole radicals and mixed radicals

 

Unit 3 – Polynomials 1 – Expanding

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

  • 3A – multiply a monomial by a polynomial and collect like terms
  • 3B – FOIL – multiply a binomial by a binomial, including perfect squares and difference of squares
  • 3C – multiply a polynomial by a polynomial
  • 3D – add or subtract products of polynomial expansion
  • 3E – applications of multiplying polynomials: area, volume, etc.

 

Unit 4 – Polynomials 2 – Factoring

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

  • 4A – determine the greatest common factor of numbers or terms
  • 4B – factor out the greatest common factor from a polynomial
  • 4C – factor a difference of squares and a sum of squares
  • 4D – factor a trinomial into two binomials with a leading coefficient of 1
  • 4E – factor a trinomial with a leading coefficient not equal to 1 into two binomials
  • 4F – factor polynomials that appear in geometric applications

 

Unit 5 – Functions

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

  • 5A – determine the equation of a linear relation, in the form y = mx + b
  • 5B – determine the result if you input different values of x into a function, or determine the value(s) of x that will give a specific result
  • 5C – explain the domain or range of a relation, or draw a relation with a specific domain and range
  • 5D – explain whether a relation is a function or not
  • 5E – use function notation for an algebraic or graphical function
  • 5F – use function notation for an algebraic or graphical composite function

 

 

Unit 6 – Slopes and Graphing of Linear Relations

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

  • 6A – solve or manipulate an equation, including converting between these forms of linear equations:
    • the general form of a linear equation Ax + By + C = 0
    • the slope-intercept form of a linear equation y = mx + b
    • the slope-point form y-y1 = m(x-x1)
  • 6B – represent a linear relation using a graph, words, ordered pairs, tables of values, or equations
  • 6C – find the equation of a line given a graph, a point and the slope, the coordinates of two points, a point and the equation of a parallel or perpendicular line
  • 6D – determine other points on a line and determine whether a point is a solution to a linear equation
  • 6E – determine the slopes of parallel and perpendicular lines
  • 6F – use a linear equation to solve a rates of change problem

 

Unit 7 – Systems of Linear Relations (Algebra & Graphing)

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

  • 7A – Write an equation for a relation
  • 7B – Plot a linear function on a grid
  • 7C – Determine whether a point is on a line or not, and explain algebraically and graphically, what a solution to a system represents
  • 7D – Solve a system of equations graphically
  • 7E – Determine the number of solutions of a system of equations and describe systems as consistent or inconsistent
  • 7F – use substitution to algebraically solve a system
  • 7G – use elimination to algebraically solve a system
  • 7H – solve a two-variable problem that involves a system of linear equations

 

Unit 8 – Measurement

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

  • 8A – convert between SI units and imperial units using proportions and unit analysis
  • 8B – choose appropriate units and estimate lengths in both SI units and imperial units
  • 8C – measure using the SI and imperial systems of measurements
  • 8D – determine the surface area of 3d shapes and composite shapes, including prisms, cylinders, pyramids, cones, and spheres
  • 8E – determine the volume of 3d shapes and composite shapes, including prisms, cylinders, pyramids, cones, and spheres
  • 8F – Apply proportional reasoning to solve geometric problems (e.g. cost, weight, time, etc.)

 

 

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