Mr. Hill's homework page » Mr. Hill's homework page Sands Secondary

Masthead header

Math Foundations & Pre-Calculus 10 2014-15

Important Information

Course Outline
Ministry of Education Math 10 curriculum

Math 10 Provincial Exams will be on Tuesday, June 23 at 9:00 – 11:00. Be there at least 15 minutes before your exam starts.
Data page from the Provincial Exam

Practice exams and other info for Math/English/Science

The last day to submit assignments or write/rewrite tests was Friday, June 12.

We are currently working on Exam review.

The Unit 8 – Measurement unit test was on Friday, June 12.
The Unit 2b – Powers & Radicals unit test was on Tuesday, May 19.
 
 
 
June 26
Have a terrific summer!
 
June 16/18
Review for the final exam. I handed out answer keys for the review that we did.
Explore the Ministry of Education links above.
 
June 12
Chapter test today.
 

June 10
Review for test next day.
The Measurement unit test will be on Friday, June 12.
 

June 8
There is a worksheet on mass and density that students may work on. It is good practice for the end of this unit.
The Measurement unit test will be on Friday, June 12.
 

June 4
Volume
Page 86 #1,3,5
Page 61 #1,2,4,5,10
There will be a quiz on rulers, surface area and volume on Monday, June 8.
The Measurement unit test will be on Friday, June 12.
 

June 2
Students worked on surface area again.
No homework
There will be a quiz on rulers, surface area and volume on Monday, June 8.
The Measurement unit test will be on Friday, June 12.
 

May 29
Students worked on surface area again.
Page 74 #1,3
 

May 27
There was a conversions quiz.
Students started surface area.
There was a worksheet handed out to practice these topics.
 

May 25
We looked at using metric and imperial rulers.
There will be a conversions quiz on Wed. May 27.
 

May 21
The class looked at converting units using the metric and the imperial system.
Page 42 #2,10,11
Page 50 #10, 11
There will be a conversions quiz on Wed. May 27.
 

May 13
The class has a review worksheet for powers and radicals that has (actually two copies of) an answer key on the back.
Test next day.
 

May 11
No homework.
There will be a Quiz next day, and a chapter test on Tuesday.
 

May 7
Section 4.4 #4-9
 

May 5
Radicals and Exponents
Complete the second and fourth column on both sides of the worksheet.
 

May 1
Rational Exponents
Page 180 #1,2,5(a,c,e for each),6
 

Apr 29
Unit 7 – Systems of Equations test.
 

Apr 27
Prepare for the unit test next day.
The answer key for the Equations & Plotting Linear Relations is here.
 

Apr 23
Modelling and solving systems of equations
8.2 Page 440 #3,4,11
9.3 Page 498 #3,5,7
 

Apr 21
Solving Systems of Equations using Elimination
9.2 Page 488 #1,2,3,6,7
 

Apr 16
Solving Systems of Equations using Substitution
9.1 Page 474 #1,2,4 (a and c for each)
 

Apr 14
Number of Solutions for Systems of Linear Equations
Sec. 8.3 Page 454 #1,2,3,4,9,10,12
 

Apr 10
Graphing Systems of Linear Equations
Page 427 #3,4,5,6,14,15
 

Apr 8
Linear Equations test today. no homework.
 

Apr 2
Linear Equations review worksheet 2.
Test next class (on Wednesday next week).
 

Mar 31
Linear Equations review worksheet 1.
Test on Wednesday next week.
 

Mar 13
Linear Equations – Quiz 2
Slopes as Rates of Change.
 

Mar 11
7.3 – The Slope-Point Form of Linear Equations
Page 377 #1,2,3,5,6 (a,c,e… for each)
There will be a quiz next day.
 

Mar 9
7.2 – The General Form of Linear Equations
Page 365 #1-5
 

Mar 5
Continued parallel and perpendicular slopes
Page 390 #3,4,6a,c,e
 

Mar 3
Students wrote a quiz on the slope-intercept form of the linear equation.
Students worked on parallel and perpendicular slopes
Page 390 #1,2,5 (a,c,e, for each)
 

Feb 27
We continued to look at the slope-intercept form of the equation. Complete the worksheet for next class.
Quiz next class.
 

Feb 25
Slope and the slope-intercept form (y = mx + b) of a linear equation.
Page 325 #1-5,8,10,11
Quiz in two classes.
 

Feb 23
Students wrote the Midterm exam. We will continue with Linear Relations next day.
 

Feb 18
Students were given Review worksheet #2. The solutions for both worksheets are available here.
The midterm will be next class. It will cover units 1-5.
 

Feb 16
We looked at solving equations.
Students were also given a Review worksheet #1 and a practice midterm booklet with an answer key.
The midterm will be on Mon. Feb. 23 It will cover units 1-5. We will review next week.
 

Feb 12
Functions test today; students were given a page reminding them of some polynomials stuff from Math 9.
The midterm will be on Mon. Feb. 23 It will cover units 1-5. We will review next week.
 

Feb 10
Students worked on reviewing for the unit test next day. There was a review worksheet handed out with an answer key.
The midterm will be on Mon. Feb. 23 It will cover units 1-5.
 

Feb 5
Students wrote the domain and range quiz.
Practice function notation: page 311 #2,4,5,8,11,15
There will be a functions test on Thursday, Feb. 12.
The midterm will be on Mon. Feb. 23 It will cover units 1-5.
 

Feb 3
More domain and range. There will be a quiz next class.
We started function notation. Complete the worksheet for next day.
The midterm will be on Mon. Feb. 23
 

Jan 30
We continued to study domain and range.
Worksheet should be completed by next class.
 

Jan 28
We wrote quiz #1 for Functions,
We looked at domain and range. There wasn’t time to complete the notes, so no homework today.
 

Jan 26
Linear Relations
page 287 #1,2,3,4,6,8
 

Jan 22
– writing tables of values
– writing equations of linear functions
– graphing functions
– describing functions
no homework.
 

Jan 20
We started looking at functions. There is no homework, but we’ve seen that functions can be described in a number of different ways, and we should know how to create a table of values.
 

Jan 16
Students wrote the unit 4 – Factoring Polynomials test today; no homework.
 

Jan 14
Students wrote a factoring quiz.
I handed out two worksheets:
– a multi-step factoring worksheet where the factored form has more than two factors
– a review covering all the types of factoring seen in this chapter.
There will be a unit test next class.
 

Jan 12
We practiced writing perfect square trinomials and difference of squares.
Complete teh worksheet for next day.
There will be a quiz next day. The Factoring unit test will be on Friday.
 

Jan 8
Quiz today.
We looked at two special cases of trinomials:
– perfect square trinomials
– difference of squares
No homework.
 

Jan 6
Factoring worksheet. Do at least the first page. Try the factoring on the back. #19 is not necessary but has a surprising result.
The class is going to have a partner quiz at the start of next class.
 

Dec 17
The class voted today to have the first quiz for Factoring Polynomials in the new year, so it will be Thurs. Jan 8.
Students are continuing to work on factoring trinomials.
 

Dec 15
Factoring trinomials
Page 234 #3,4,5,8a,9,10
 

Dec 11
Factoring using common factors
Page 220 #1,4,5,6,7,10,13,16 (a,c,e for questions up to and including #7)
 

Dec 9
Expanding Chapter test.
Complete the intro to Factoring worksheet
 

Dec 5
Complete the review worksheet
There will be a unit 2 test next class.
 

Dec 3
Students wrote the second expanding quiz.
Students should complete the algebra tiles worksheet.
There will be a unit test in two classes: Tuesday, December 9.
 

Dec 1
We looked at geometric applications like area and volume for polynomials.
Complete the worksheet.
There will be a quiz next day. It will look like the warm-up from today, as well as an area question (maybe similar to question 2 on the worksheet).
 

Nov 27
Expanding polynomials.
Page 209 #4bdf, 5, 6bdf
Term 1 cutoff is Friday, Nov. 28 at 3:30 pm.
 

Nov 25
Expanding binomials.
Page 209 #3ace, 4ace, 6ace, 10, 13.
Term 1 cutoff is Friday, Nov. 28 at 3:30 pm.
 

Nov 20
The class looked at multiplying monomials by polynomials.
Do the even numbers of this worksheet.
 

Nov 18
Students looked at adding/subtracting polynomials and multiply by partial products and box multiplication.
 

Nov 14
Students wrote the Numbers & Number Systems test. Students should complete the polynomials worksheet for next day.
 

Nov 12
Students wrote a powers quiz. They are getting ready for a Numbers & Number Systems test next class. Students should work on the review worksheet: answer key here
 

Nov 7
Students were working on a scientific notation worksheet.
There will be a simplifying powers (and writing with positive exponents) quiz next class
 

Nov 5
Simplifying powers & writing powers with positive exponents only.
Page 169 #4,5,6,8 (alternate letters: a,c,e,…)
 

Nov 3
Started looking at variables and exponents
no homework.
 

Oct 30
We looked at number systems and rational/irrational numbers
no homework.
 

Oct 28
There will be a quiz next class. We’ve seen prime factorization, divisibility, LCM, GCF, and square and cube roots.
 

Oct 23
GCF and LCM
page 220 #2,3
 

Oct 21
Students looked at factors, products, and prime factorization. We saw how knowing the divisibility rules helps with this process. No homework.
 

Oct 17
Students wrote the Trigonometry test; no homework.
 

Oct 15
Students should do:
– page 121 #6
– page 131 #4,6,7,11
– challenge: Sands building worksheet
The unit 1 test will be next class (on Friday, Oct. 17). It will have a calculator and non-calculator sections.
 

Oct 10
Students should complete the warm-up worksheet and also do page 108 #5,6,8,9
There will be a quiz next class.
The unit 1 test will be on Friday, Oct. 17. It will have a calculator and non-calculator sections.
 

Oct 8
Complete the inverse sine, cosine, tangent worksheet.
There will be a quiz in two classes.

 
Oct 6
Complete the sine, cosine, tangent (SOH CAH TOA) worksheet.

 
Oct 2
Complete the worksheet where we found the lengths of sides in any triangles.
There will be a quiz on trigonometry next class.

 
Sep 30
Complete the worksheet where we found the lengths of sides in the special 30-60-90 and 45-45-90 triangles.
There will be a quiz on trigonometry on Monday.

 
Sept 26
Complete the trigonometry worksheet, labeling sides, and calculating proportions.
Complete the Math 10 intro worksheet so we can see what our strengths & weaknesses are.

 
Sept 24
We began an assessment of skills that will be continued next day. We will also begin Trigonometry next class.

 

 

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 (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 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 (LCM) for a set of 2 or 3 numbers
  • 2C – use prime factorization to determine the square and cube root of perfect squares and perfect cubes, including large and small numbers and fractions
  • 2D – use prime factorization to explain why a number will have a rational or irrational square or cube root
  • 2E – demonstrate an understanding of the classification of real numbers (real, irrational/rational, integers, whole numbers, natural numbers)
  • 2F – order and irrational numbers in ascending or descending order
  • 2G – apply exponent laws to simplify expressions
  • 2H – explain, using patterns why a negative exponent can be written as the reciprocal of a positive exponent
  • 2I – express numbers in scientific notation
  •  
     

  • 2J – calculate the value of a power or radical
  • 2K – convert powers to radicals and vice versa
  • 2L – 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 if possible
  • 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 – apply multiplying polynomials in geometric applications: 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 polynomial with four terms into two binomials
  • 4E – factor a trinomial into two binomials with a leading coefficient of 1
  • 4F – factor a trinomial with a leading coefficient not equal to 1 into two binomials
  • 4G – factor polynomials that appear in geometric applications: area, volume, etc.

 

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 inputs or outputs of functions
  • 5C – identify the domain or range of a relation using interval or set notation, 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
      • 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)
  • 6B – 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
  • 6C – 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
  • 6D – 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
  • 6E – determine the x- and y-intercepts of a line
  • 6F – determine other points (solutions) on the line and determine whether a point is a solution to a linear equation
  • 6G – 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 – Plot systems of linear equations (see 6D above for plotting expectations
  • 7B – Determine whether a point is on a line or not, and explain algebraically and graphically, what a solution to a system represents
  • 7C – Solve a system of equations graphically
  • 7D – Determine the number of solutions of a system of equations and describe systems as consistent or inconsistent
  • 7E – use substitution to algebraically solve a system
  • 7F – use elimination to algebraically solve a system
  • 7G – 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 – 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