Welcome to the home page for Principles of Mathematics 10 (MPM2D). This page will be updated daily with important course information such as homework, assignments, announcements, quiz and test dates, and any and all comings and goings. Refer to it daily.
HOMEWORK
September 2 (Tuesday) - Complete Grade 10 Intro Quiz (Grade 9 Review) and complete Pages 4 and 17 homework (do not do Q # 10 on p. 17). To be complete for Monday, September 8 September 8 (Monday) - Take up review concepts and go over particulars. Start Linear Systems September 9 (Tuesday) - Complete page 26 questions from the homework sheet - QUIZ on Wednesday, September 10 on grade 9 review and pages 4 and 17 from the homework September 10 (Wednesday) - Quiz. Solve the two assigned word problems using substitution. Make certain to include let statements, two equations, solution, check, and therefore statement for each. No homework tonight. September 11 (Thursday) - Complete page 40 questions from the homework sheet. - QUIZ tomorrow on Substitution September 12 (Friday) Quiz on Substitution - No homework for the weekend - All the homework from pages 4, 17, 26, and 40 is up for review on Monday. HAVE IT ALL COMPLETED! September 15 (Monday) - Students who had a mark under 60% on the substitution quiz, see me after school. Reviewed up to page 40. In class review assignment, what is not completed is for homework. TRY the following word problem - A riverboat takes 2 hours to travel 24km with the current and takes 3 hours to travel 24km against the current. What is the speed of the riverboat in stillwater and what is the speed of the current? How would you attempt to solve such a problem? Quiz on Elimination tomorrow.
September 16 (Tuesday) - Quiz on Elimination. Complete page 46 questions from the homework sheet. September 17 (Wednesday) - Complete Math Assignment # 1 - To be submitted at the beginning of Thursday's period
September 18 (Thursday) - Take up Math Assignment # 1. Start p. 48 questions from the homework sheet. September 19 (Friday) - Complete page 48 and 50 questions from the homework sheet- Review for test - Assignment 1 answers are on the wikispace September 22 (Monday) - Review for Test # 1
September 23 (Tuesday) - TEST # 1
You must be able to:
translate sentences into equations
solve for the unknown variable
know the characteristics of intersecting, parallel and distinct, and coincident lines
graph linear equations
determine solution of graphed lines
solve linear systems by graphing
solve linear systems by substitution
solve linear systems by elimination
determine if lines are intersecting, parallel and distinct, or coincident by comparing slope and y-intercept
create equivalent equations
complete word problems by going through the steps of writing let statements, writing two equations, solving for one variable, solving for the other variable, checking your answer, and writing a therefore statement
September 24 (Wednesday) - Take up Test # 1 - Complete page 54 questions - Anyone who earned under 60% on the test must come in after school today and rewrite it with me. I've attached a review for how to determine slope and how to write linear equations.
September 25 (Thursday) - Complete page 66 questions (due: Monday) September 26 (Friday) - Complete page 77 questions (due: Monday) September 29 (Monday) - no homework September 30 (Tuesday) - Complete page 89 questions 1, 2, 3, 5, 8, and 9 only October 1 (Wednesday) - Quiz. Complete page 89 question 10 only (to be handed in tomorrow) October 2 (Thursday) - No homework October 3 (Friday) - Complete page 96 questions from homework sheet October 6 (Monday) - Quiz. Complete page 100 questions from the homework sheet (review for the test on Thursday) October 7 (Tuesday) - Complete page 104 questions from the homework sheet (review for test on Thursday) October 8 (Wednesday) - Review for TEST # 2
October 9 (Thursday) - TEST # 2
You must be able to:
write out and apply the following formulas: (although the formulas will be given to you on the test)
Midpoint formula
Slope formula
Length formula
y-intercept form for writing linear equations
differentiate the slope of parallel and perpendicular lines
determine the midpoint given two endpoints
determine an endpoint given the midpoint and the other endpoint
determine the length of a line given two points
state length as both "exact" and "approximate" solutions
be able to write linear equations given the following:
a point and a slope
two points
a point and a parallel or perpendicular slope
identify and write equations for the following lines of a triangle
Median, Right Bisector, and the Altitude
determine the shortest distance between a point and a line
Complete verifications using length and/or slope for the following:
scalene, isosceles, equilateral and right angle triangles and for squares and rectangles
Determine the equation for the radius of a circle with centre at (0, 0)
Determine the radius and diameter of a circle given the equation of a circle
Determine points on the circle, in the circle, and outside the circle
October 10 (Friday) - Take up Test # 2. Complete p. 108 from the homework sheet. October 13 (Monday) - Thanksgiving. No Class. October 14 (Tuesday) - Complete page 114 from the homework sheet. Please add question 18 to your homework. October 15 (Wednesday) - Complete page 124 from the homework sheet. Go to the following site and "play" with SIMILAR triangles. http://www.mathopenref.com/similartriangles.html
CENTROID http://www.mathopenref.com/trianglecentroid.html
CIRCUMCENTRE http://www.mathopenref.com/trianglecircumcenter.html
ORTHOCENTRE http://www.mathopenref.com/triangleorthocenter.html October 16 (Thursday) - Complete page 134 from the homework sheet October 17 (Friday) - Complete page 142 and page 150 from the homework sheet October 20 (Monday) - complete pages 152 and 154 from the homework sheet October 21 (Tuesday) - Review for Test # 3
You are responsible for:
review skills - determine midpoint, length, and slope (be able to identify the formulas)
define each one of the following and determine whether you would utilize length and/or slope to verify each: scalene triangle, isosceles triangle, equilateral triangle, right-angle triangle, square, rectangle, rhombus, parallelogram, trapezoid
determine area of a triangle given the median and information
write a linear equation for the median, right-bisector, and altitude
determine the centroid of a triangle
properties of diagonals for square, rhombus, rectangle, parallelogram, kite
midpoints of any quadrilateral form this shape
properties of triangles and trapezoids so as to determine lengths of their lines
determining equidistance of 3 points on a map
chord of a circle
determining if points are on a circle given a centre point and coordinates of points
October 22 (Wednesday) - TEST # 3 moved to Thursday, October 23 due to WICKED FieldTrip October 23 (Thursday) - TEST # 3 - Complete page 162 from the homework sheet and start looking at P. 166 work October 24 (Friday) - Take up Test # 3, go over P. 162 and lecture on terminology - Define each one of the following and provide an example: quadratic, quadratic relation, linear relation vs. non linear relation, line of best fit, scatterplot, independent vs. dependent variables, domain vs. range, transformations (translation, reflection, dilation). ALSO Complete P. 166 from the homework sheet for the weekend. October 27 (Monday) - Lecture on terms continues - parabola, vertex, axis of symmetry, minimum/maximum value. Complete P. 172 Q # 1 and 3 only from the homework sheet. October 28 (Tuesday) - Complete page 178 questions from the homework sheet October 29 (Wednesday) - Complete page 185 questions from the homework sheet October 30 (Thursday) - Complete page 192 questions from the homework sheet October 31 (Friday) - Complete page 199 questions from the homework sheet November 3 (Monday) - NO CLASSES - work on review questions on pages 202 and 204 from the homework sheet. November 4 (Tuesday) - review for TEST # 4
linear vs. non-linear relations, line of best fit, independent vs. dependent variables, domain, range
parabola, vertex, axis of symmetry, minimum/maximum value,
using 1st and 2nd differences to determine whether linear, quadratic or neither
determining parts of a quadratic function if in "useable" form y = a(x - h)2 + k
writing a quadratic function in "useable" form given a description and information
describing transformations given a quadratic function in "useable" form
determining the following of a parabola given a quadratic function in "useable" form: direction of opening, vertex, domain, range, axis of symmetry, min./max. value, stretch/shrunk, narrower/wider, and a sketch
given the form y= a(x-m) (x-n) determining x-intercepts, vertex, value of "a", and writing it in "useable" form
word problems given quadratic function in "useable" form
word problems utilizing x and y intercepts and a chart
negative exponents and exponent of zero
November 5 (Wednesday) - TEST # 4 November 6 (Thursday) - Take up Test # 4. Read and complete pages 208 and 217, there will be a quiz on the material that will not count but rather will only be intended for determining your understanding of the concepts. November 7 (Friday) -No Classes. Parents Day/Night November 10 (Monday) -Quiz on polynomial terminology (degree of polynomial, monomial, binomial, trinomial, adding and subtracting polynomials, distributive properties, factors of numbers, and expanding binomials) - take up pages 208 and 217. November 11 (Tuesday) -Complete page 225 and page 234 questions from the homework sheet. Quiz on polynomial terminology and FOILing. November 12 (Wednesday) -Complete page 240 questions from the homework sheet.
November 13 (Thursday) -Complete page 246 questions from the homework sheet. Quiz tomorrow on product/sum factoring of quadratics. November 14 (Friday) -Review factoring as a process. November 17 (Monday) -In class assignment on factoring. November 18 (Tuesday) -Complete pages 256 and 258 questions from the homework sheet. November 19 (Wednesday) - Review for TEST # 5. You are responsible for:
Polynomial Terminology - monomial, binomial, trinomial, variable, like term, coefficient
Expand and simplify polynomials
Addition and subtraction of polynomials
Multiplication of polynomials and distributive properties
Division of polynomials
Binomial x Binomial (FOIL)
Determining greatest common factor for polynomials
Factoring by monomial common factor
Factoring by binomial common factor
Factoring by grouping
Determining values of b when given c, and determining values of c when given b in ax2 + bx + c
Factoring quadratic expressions in the form ax2 + bx + c where a = 1
Factoring quadratic expressions in the form ax2 + bx + c where a does not equal 1
Factoring quadratic expressions in the form ax2 + bx + c where there is no b
Word problems involving quadratic expressions and their factors
November 20 (Thursday) - TEST # 5 - No homework tonight November 21 (Friday) - Take up Test # 5 - complete page 262 from the homework sheet. November 24 (Monday) - Complete page 270 from the homework sheet. November 25 (Tuesday) - Quiz on changing quadratics to useable form (vertex form). Complete page 279 from the homework sheet November 26 (Wednesday) - In-class assignment on solving for x in a quadratic. November 27 (Thursday) - Complete page 288 from the homework sheet. November 28 (Friday) - Review solving quadratics by factoring, introduce quadratic formula. December 1 (Monday)- Complete page 300 from the homework sheet. December 2 (Tuesday) - Complete page 311 from the homework sheet. December 3 (Wednesday) - Work on in-class assignment on word problems and quadratics (due at the end of class on Thursday)
December 4 (Thursday) - Work on in-class assignment - must be submitted at end of the period. December 5 (Friday)- Take up assignment and start on test review - complete pages 316 and 318 from the homework sheet December 8 (Monday)- Take up test review pages December 9 (Tuesday)- Review for TEST # 6 December 10 (Wednesday) - TEST # 6
You must be able to:
zero product rule
looking at a graph determining if there are 2 distinct, 2 equal or no real roots
create a perfect square by completing the square
rewrite y = ax2 + bx + c to y = (x - h)2 + k by completing the square
find the x-intercepts and vertex of a quadratic in the form ax2 + bx + c = 0 by changing it into useable and then graphing it
graphing by finding x-intercepts in y=a(x - n) (x - m) form
solve quadratic equations by factoring
utilize the quadratic formula to solve quadratics
solve word problems using factoring or the quadratic formula
December 11 (Thursday) - Take up TEST # 6 - Similar triangles and their properties. Complete pages 326, 333, and 347 from the homework sheet. December 12 (Friday) - Introduction of SOHCAHTOA, complete page 362 and 372 from the homework sheet.
December 15 (Monday) - Quiz on congruent and similar triangles and determining angles without measuring. Complete page 380 from the homework sheet. December 16 (Tuesday) - Complete page 394 from the homework sheet. December 17 (Wednesday) - Quiz on SOHCAHTOA. Complete page 402 from the homework sheet.
Welcome to Mathematics 10 (MPM2D)
Welcome to the home page for Principles of Mathematics 10 (MPM2D). This page will be updated daily with important course information such as homework, assignments, announcements, quiz and test dates, and any and all comings and goings. Refer to it daily.
HOMEWORK
September 2 (Tuesday) - Complete Grade 10 Intro Quiz (Grade 9 Review) and complete Pages 4 and 17 homework (do not do Q # 10 on p. 17). To be complete for Monday, September 8
September 8 (Monday) - Take up review concepts and go over particulars. Start Linear Systems
September 9 (Tuesday) - Complete page 26 questions from the homework sheet - QUIZ on Wednesday, September 10 on grade 9 review and pages 4 and 17 from the homework
September 10 (Wednesday) - Quiz. Solve the two assigned word problems using substitution. Make certain to include let statements, two equations, solution, check, and therefore statement for each. No homework tonight.
September 11 (Thursday) - Complete page 40 questions from the homework sheet. - QUIZ tomorrow on Substitution
September 12 (Friday) Quiz on Substitution - No homework for the weekend - All the homework from pages 4, 17, 26, and 40 is up for review on Monday. HAVE IT ALL COMPLETED!
September 15 (Monday) - Students who had a mark under 60% on the substitution quiz, see me after school. Reviewed up to page 40. In class review assignment, what is not completed is for homework. TRY the following word problem - A riverboat takes 2 hours to travel 24km with the current and takes 3 hours to travel 24km against the current. What is the speed of the riverboat in stillwater and what is the speed of the current? How would you attempt to solve such a problem? Quiz on Elimination tomorrow.
September 16 (Tuesday) - Quiz on Elimination. Complete page 46 questions from the homework sheet.
September 17 (Wednesday) - Complete Math Assignment # 1 - To be submitted at the beginning of Thursday's period
September 18 (Thursday) - Take up Math Assignment # 1. Start p. 48 questions from the homework sheet.
September 19 (Friday) - Complete page 48 and 50 questions from the homework sheet- Review for test - Assignment 1 answers are on the wikispace
September 22 (Monday) - Review for Test # 1
September 23 (Tuesday) - TEST # 1
You must be able to:
September 24 (Wednesday) - Take up Test # 1 - Complete page 54 questions - Anyone who earned under 60% on the test must come in after school today and rewrite it with me. I've attached a review for how to determine slope and how to write linear equations.
September 25 (Thursday) - Complete page 66 questions (due: Monday)
September 26 (Friday) - Complete page 77 questions (due: Monday)
September 29 (Monday) - no homework
September 30 (Tuesday) - Complete page 89 questions 1, 2, 3, 5, 8, and 9 only
October 1 (Wednesday) - Quiz. Complete page 89 question 10 only (to be handed in tomorrow)
October 2 (Thursday) - No homework
October 3 (Friday) - Complete page 96 questions from homework sheet
October 6 (Monday) - Quiz. Complete page 100 questions from the homework sheet (review for the test on Thursday)
October 7 (Tuesday) - Complete page 104 questions from the homework sheet (review for test on Thursday)
October 8 (Wednesday) - Review for TEST # 2
October 9 (Thursday) - TEST # 2
You must be able to:
October 10 (Friday) - Take up Test # 2. Complete p. 108 from the homework sheet.
October 13 (Monday) - Thanksgiving. No Class.
October 14 (Tuesday) - Complete page 114 from the homework sheet. Please add question 18 to your homework.
October 15 (Wednesday) - Complete page 124 from the homework sheet. Go to the following site and "play" with SIMILAR triangles. http://www.mathopenref.com/similartriangles.html
CENTROID
http://www.mathopenref.com/trianglecentroid.html
CIRCUMCENTRE
http://www.mathopenref.com/trianglecircumcenter.html
ORTHOCENTRE
http://www.mathopenref.com/triangleorthocenter.html
October 16 (Thursday) - Complete page 134 from the homework sheet
October 17 (Friday) - Complete page 142 and page 150 from the homework sheet
October 20 (Monday) - complete pages 152 and 154 from the homework sheet
October 21 (Tuesday) - Review for Test # 3
Complete the review package for TEST #3You are responsible for:
review skills - determine midpoint, length, and slope (be able to identify the formulas)
define each one of the following and determine whether you would utilize length and/or slope to verify each: scalene triangle, isosceles triangle, equilateral triangle, right-angle triangle, square, rectangle, rhombus, parallelogram, trapezoid
determine area of a triangle given the median and information
write a linear equation for the median, right-bisector, and altitude
determine the centroid of a triangle
properties of diagonals for square, rhombus, rectangle, parallelogram, kite
midpoints of any quadrilateral form this shape
properties of triangles and trapezoids so as to determine lengths of their lines
determining equidistance of 3 points on a map
chord of a circle
determining if points are on a circle given a centre point and coordinates of points
October 22 (Wednesday) - TEST # 3 moved to Thursday, October 23 due to WICKED FieldTrip
October 23 (Thursday) - TEST # 3 - Complete page 162 from the homework sheet and start looking at P. 166 work
October 24 (Friday) - Take up Test # 3, go over P. 162 and lecture on terminology - Define each one of the following and provide an example: quadratic, quadratic relation, linear relation vs. non linear relation, line of best fit, scatterplot, independent vs. dependent variables, domain vs. range, transformations (translation, reflection, dilation). ALSO Complete P. 166 from the homework sheet for the weekend.
October 27 (Monday) - Lecture on terms continues - parabola, vertex, axis of symmetry, minimum/maximum value. Complete P. 172 Q # 1 and 3 only from the homework sheet.
October 28 (Tuesday) - Complete page 178 questions from the homework sheet
October 29 (Wednesday) - Complete page 185 questions from the homework sheet
October 30 (Thursday) - Complete page 192 questions from the homework sheet
October 31 (Friday) - Complete page 199 questions from the homework sheet
November 3 (Monday) - NO CLASSES - work on review questions on pages 202 and 204 from the homework sheet.
November 4 (Tuesday) - review for TEST # 4
November 5 (Wednesday) - TEST # 4
November 6 (Thursday) - Take up Test # 4. Read and complete pages 208 and 217, there will be a quiz on the material that will not count but rather will only be intended for determining your understanding of the concepts.
November 7 (Friday) - No Classes. Parents Day/Night
November 10 (Monday) - Quiz on polynomial terminology (degree of polynomial, monomial, binomial, trinomial, adding and subtracting polynomials, distributive properties, factors of numbers, and expanding binomials) - take up pages 208 and 217.
November 11 (Tuesday) - Complete page 225 and page 234 questions from the homework sheet. Quiz on polynomial terminology and FOILing.
November 12 (Wednesday) - Complete page 240 questions from the homework sheet.
November 13 (Thursday) - Complete page 246 questions from the homework sheet. Quiz tomorrow on product/sum factoring of quadratics.
November 14 (Friday) - Review factoring as a process.
November 17 (Monday) - In class assignment on factoring.
November 18 (Tuesday) - Complete pages 256 and 258 questions from the homework sheet.
November 19 (Wednesday) - Review for TEST # 5.
You are responsible for:
November 20 (Thursday) - TEST # 5 - No homework tonightPolynomial Terminology - monomial, binomial, trinomial, variable, like term, coefficient
Expand and simplify polynomials
Addition and subtraction of polynomials
Multiplication of polynomials and distributive properties
Division of polynomials
Binomial x Binomial (FOIL)
Determining greatest common factor for polynomials
Factoring by monomial common factor
Factoring by binomial common factor
Factoring by grouping
Determining values of b when given c, and determining values of c when given b in ax2 + bx + c
Factoring quadratic expressions in the form ax2 + bx + c where a = 1
Factoring quadratic expressions in the form ax2 + bx + c where a does not equal 1
Factoring quadratic expressions in the form ax2 + bx + c where there is no b
Word problems involving quadratic expressions and their factors
November 21 (Friday) - Take up Test # 5 - complete page 262 from the homework sheet.
November 24 (Monday) - Complete page 270 from the homework sheet.
November 25 (Tuesday) - Quiz on changing quadratics to useable form (vertex form). Complete page 279 from the homework sheet
November 26 (Wednesday) - In-class assignment on solving for x in a quadratic.
November 27 (Thursday) - Complete page 288 from the homework sheet.
November 28 (Friday) - Review solving quadratics by factoring, introduce quadratic formula.
December 1 (Monday) - Complete page 300 from the homework sheet.
December 2 (Tuesday) - Complete page 311 from the homework sheet.
December 3 (Wednesday) - Work on in-class assignment on word problems and quadratics (due at the end of class on Thursday)
December 4 (Thursday) - Work on in-class assignment - must be submitted at end of the period.
December 5 (Friday) - Take up assignment and start on test review - complete pages 316 and 318 from the homework sheet
December 8 (Monday) - Take up test review pages
December 9 (Tuesday) - Review for TEST # 6
December 10 (Wednesday) - TEST # 6
You must be able to:
December 11 (Thursday) - Take up TEST # 6 - Similar triangles and their properties. Complete pages 326, 333, and 347 from the homework sheet.
December 12 (Friday) - Introduction of SOHCAHTOA, complete page 362 and 372 from the homework sheet.
Math 10 Final Exam Review Package
December 15 (Monday) - Quiz on congruent and similar triangles and determining angles without measuring. Complete page 380 from the homework sheet.
December 16 (Tuesday) - Complete page 394 from the homework sheet.
December 17 (Wednesday) - Quiz on SOHCAHTOA. Complete page 402 from the homework sheet.
December 18 (Thursday) - Complete page 409 from the homework sheet.
December 19 (Friday) - Complete page 418 from the homework sheet.
FINAL EXAMINATION REVIEW PACKAGE
HAVE A RELAXING, SAFE, AND WONDERFUL BREAK! SEE YOU IN THE NEW YEAR.
January 5 (Monday) - Review of SOHCAHTOA
January 6 (Tuesday) - Review of Sine Law and Cosine Law
you are responsible for:
- congruent vs. similar triangles
- using similar triangles to solve problems about side length and angles
- using similar triangles to determine area
- determining side lengths and angles of right-angle triangles utilizing SOHCAHTOA
- drawing diagrams from word descriptions and then solving using SOHCAHTOA
- determining side lengths and angles of non-right-angle triangles utilizing SINE Law and/or COSINE Law
- drawing diagrams from word descriptions and the solving utilizing SINE Law and/or COSINE Law
January 7 (Wednesday) - TEST # 7January 8 (Thursday) - Take up TEST # 7 - Final Examination Review
Math 10 Final Exam Format
January 9 (Friday) - Final Examination Review