 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
MPM 2D LESSON OUTLINE |
|
|
|
UNIT: REVIEW OF ESSENTIAL SKILLS |
|
|
|
By the end if this unit, students will have reviewed grade 9 overall expectations |
|
|
|
-review algebraic manipulation, simplifying rational expressions
-review of manipulating polynomial expressions to solve first degree equations
-review the properties of slope and y intercept of a linear relation
-review methods of graphing linear relations |
|
|
|
ASSESSMENTS |
|
|
LESSON OUTLINE |
|
HOMEWORK |
|
|
|
DATE |
|
|
|
|
|
|
|
|
|
|
|
|
February |
|
|
|
Introduction to course
Integers and Rational Numbers |
|
|
|
Handout Page 1 |
|
Page 1 #1,2,3,4(a,c,e,g,i)
Page 2 #1,2,3,4(a,c,e,g,i) |
|
|
6 |
|
|
|
|
|
|
|
|
|
|
|
Handout Page 2 |
|
|
|
|
|
|
|
|
|
Course handout |
|
|
|
|
|
|
Page 3 #2,4
Page 4 #4,5,6 |
|
|
|
|
Algebraic Expressions |
|
|
|
7 |
|
|
|
|
|
|
|
|
|
|
Page 5 #2,3,4,5(f,g,h,i),7,8 |
|
|
Algebraic Expressions and Solving Equations |
|
|
|
8 |
|
|
|
|
|
|
|
|
|
|
Solving Equations |
|
Page 5 #3,4,5 a-d |
|
|
9 |
|
|
|
|
|
|
|
|
|
|
GRAPHING LINES tutorial |
|
|
|
Graphing, Parallel and Perpendicular lines, Equations of Lines |
|
|
|
Page 6 #2,4,5a-c, 6
Page 7 #2,3,5, 6 |
|
|
10 |
|
|
|
|
|
|
|
|
|
|
EQUATIONS OF LINES tutorial |
|
Try a math puzzle |
|
|
|
|
|
13 |
|
Graphing Lines |
|
|
|
|
QUIZ |
|
|
|
|
|
UNIT: LINEAR SYSTEMS |
|
|
|
By the end of this course, students will: |
|
|
|
-model and solve problems involving the itnersection of two straight lines
-solve problems involviong the analytic geometry concpets of line semgments
-verify geometric properties of triangles and qwuadrilaterals using analytic geometry
|
|
|
|
CHAPTER 1: LINEAR SYSTEMS |
|
|
|
Graphing Linear Systems and finding Point of Intersection - graphing calculators |
|
|
14 |
|
|
|
|
|
ACTIVITY 3.1 |
|
|
|
|
|
|
|
Activity-Intersection |
|
|
Application of Linear Systems, solving graphically with graphing calculators |
|
|
|
15 |
|
|
|
|
|
|
|
|
|
Graphing Calculator |
|
|
|
|
|
|
|
|
BUSES CANCELLED - NO CLASS |
|
|
16 |
|
|
|
|
|
|
17 |
|
Investigate number of solutions on calculators
handout |
|
|
|
|
Pg. 60 # 1,2,3,4,5,6, 8,11, 13,14,17,18,20 |
|
|
|
|
|
QUIZ |
|
|
|
|
|
|
|
|
|
|
Method of Substitution for Solving Systems |
|
|
|
Pg. 92 #7,8,9,16 |
|
|
20 |
|
|
|
|
|
|
|
|
|
|
Substitution on word problems, TIPS questions |
|
|
|
Pg. 92 #12a-c,17,18,21 |
|
|
21 |
|
|
|
|
|
|
|
|
|
|
22 |
|
Brain Teasers |
|
|
|
Substitution, TIPS type questions |
|
|
|
|
|
23 |
|
|
|
Activity-Substitution |
|
|
|
Method of Elimination for Solving Systems |
|
|
|
|
|
|
|
|
|
Some cool math puzzles |
|
|
SOLVING LINEAR SYSTEM tutorial |
|
|
|
|
|
|
JOURNAL |
|
|
24 |
|
Method of Elimination |
|
|
|
|
|
Pg. 102 #6(a-e),10,14,15 |
|
|
|
|
|
|
|
|
|
|
|
|
|
SUBSTITUTION AND ELIMINATION tutorial |
|
|
|
27 |
|
Word Problems |
|
Pg. 51 #4,7,9,10,15,17,18 |
|
|
|
|
|
|
28 |
|
|
|
Word Problems |
|
|
|
|
Pg. 51 #15,17,18 |
|
|
|
|
|
QUIZ |
|
|
|
|
|
|
|
|
|
|
|
Word Problems Sheet |
|
|
March |
|
|
|
|
|
|
1 |
|
|
|
TIPS questions |
|
|
|
|
Fun with word problems |
|
|
|
|
|
|
|
Linear Systems Review for Test |
|
|
|
2 |
|
|
|
|
|
|
|
|
|
|
TEST- LINEAR SYSTEMS |
|
|
3 |
|
|
|
|
|
TEST |
|
|
|
|
|
|
|
|
CHAPTER 2: ANALYTICAL GEOMETRY |
|
|
|
Cool Math games |
|
|
UNIT: ANALYTICAL GEOMETRY |
|
|
|
|
|
|
Math and Music |
|
|
|
|
6 |
|
|
|
Introduction of Analytical Geometry
Length of a Line Segment |
|
|
|
|
Pg. 151 #2,6,7,8
Pg. 162 #2,7 |
|
|
|
|
|
|
|
|
Length of a line Segment Between two points |
|
|
7 |
|
|
|
|
|
|
Midpoint of a Line Segment |
|
|
8 |
|
|
|
|
|
Pg. 173 #2,6,11,13,14 |
|
|
|
|
|
|
|
|
Median and Perpendicular Bisectors |
|
|
9 |
|
|
|
|
|
|
MARCH BREAK - ENJOY!! |
|
|
|
20 |
|
|
|
Altitude Line, Verifying Geometric Properties
Activity |
|
|
|
|
|
Activity- Every Minute
Counts |
|
|
21 |
|
|
|
|
Application of Properties |
|
|
|
|
|
|
22 |
|
|
|
Equation of a Circle centred at origin |
|
|
|
|
Pg. 155 #2,4,8,9,10,11 |
|
|
|
|
|
|
|
|
23 |
|
Verifying Geometric Properties, Classifying Triangles |
|
Pg. 182 #5,9 |
|
|
|
|
|
QUIZ |
|
|
|
|
|
|
|
|
|
|
|
|
Pg. 203 #3,4,7,10 |
|
|
24 |
|
Verifying Geometric Properties, Classifying Quadrilaterals |
|
|
JOURNAL |
|
|
|
|
|
|
|
|
Pg. 195 #6,17,18 |
|
|
Intersection of Medians, Bisectors and
Altitudes |
|
|
|
27 |
|
|
|
|
|
|
|
|
|
Pg. 195 #10,15 |
|
|
|
|
|
|
|
|
Centroid, orthocentre, circumcentre |
|
|
28 |
|
|
|
|
|
Activity-CSI Task |
|
|
|
|
|
29 |
|
|
|
Perpendicular Distance |
|
Journal-Water Pipe |
|
|
|
|
|
ACTIVITY |
|
|
|
|
|
|
|
|
|
|
|
|
30 |
|
|
|
Performance Activity- Property of medians |
|
|
|
|
Hanout-verifying geometridc properties |
|
|
|
|
|
|
|
31 |
|
|
|
|
Performance Activity- Application |
|
|
|
|
|
|
|
|
|
Review for test |
|
|
1 |
|
|
|
|
|
TEST |
|
|
|
|
|
2 |
|
TEST-ANALYTICAL GEOMETRY |
|
|
|
|
|
|
|
|
|
UNIT: QUADRATIC RELATIONS |
|
|
|
By the end of this course, students will: |
|
|
|
-solve quadratic equations
-detetrmine, through investigation, the relationships between the graphs and the quadratic functions
-determine, through investigation, the basic properties of quadratic functions
-solve problems involving quadratic functions |
|
|
|
CHAPTER 3: QUADRATIC RELATIONS |
|
|
|
31 |
|
|
|
Introduction to Relations - Linear, Quadratic, Exponential Investigation |
|
|
|
|
Pg. 247 #1,2,3,4
handout |
|
|
|
|
|
|
|
|
November |
|
|
|
Properties of Quadratic Relations -parabola, vertex, zeros |
|
|
1 |
|
|
Pg. 266 #2,3,4,5,6 |
|
|
|
|
|
|
|
|
Quadratic Relations, common factor and Zeroes, Application problems |
|
|
|
Pg. 267 #7,9,11,15 |
|
|
2 |
|
|
|
|
|
|
|
|
|
|
GRAPHING QUADRATICS tutorial |
|
|
|
Factor Form of Quadratic Relations |
|
Pg 281 #3,5,9,12,13,18 |
|
|
3 |
|
|
|
|
|
|
|
|
4 |
|
|
|
Standard Form of Quadratic Relations |
|
Pg. 297 #3,4,8,14,17 |
|
|
|
|
|
|
|
|
5 |
|
|
|
JOURNAL |
|
|
|
Application Problems, Factor form and Zeroes |
|
|
|
|
|
Pg 282 #7,8,14,18,22 |
|
|
|
|
|
|
|
|
|
|
|
|
|
HOW TO FACTOR |
|
|
|
8 |
|
|
|
Expanded Form from Factor Form |
|
Pg 298 #5,7,10,12,18 |
|
|
|
|
|
FACTORING COMPLEX TRINOMIALS |
|
|
|
Converting Quadratic Relations to Factor Form
Common and Simple Trinomials |
|
Pg. 307 #2 |
|
|
9 |
|
|
|
|
|
|
|
|
Converting Quadratic Relations to Factor Form
Complex Trinomials & Difference of Squares |
|
|
|
Pg. 307 #3,4,5,6 (a-f) |
|
|
10 |
|
|
|
|
|
|
|
|
|
|
Application of Quadratic Relations in Factor Form |
|
|
|
Pg. 307 #11,12,13,17 |
|
|
11 |
|
|
|
|
|
|
|
|
|
assignment |
|
|
|
|
|
|
|
ASSIGNMENT |
|
|
12 |
|
Application of Quadratic Relations, activity |
|
|
|
|
|
Activity |
|
|
|
|
|
|
|
|
|
|
|
|
|
15 |
|
|
|
ACTIVITY |
|
|
|
Solving Quadratic Equations |
|
Pg. 315 #3,6(a-d), 8,9 |
|
|
|
|
|
|
|
|
|
|
|
|
QUIZ |
|
|
|
|
|
|
|
16 |
|
|
|
|
Solving Quadratic Equations |
|
Pg. 317 #12,13,14,15 |
|
|
|
|
|
|
|
|
|
|
|
|
|
CHAPTER 4: QUADRATIC FUNCTIONS |
|
|
|
17 |
|
|
|
Review |
|
|
|
|
Chapter Review Pg 337 |
|
|
|
|
|
|
|
|
18 |
|
|
|
Review |
|
|
|
19 |
|
|
|
Test-Quadratic Relations |
|
|
|
|
TEST |
|
|
|
|
|
|
|
|
Vertex Form Investigation |
|
|
22 |
|
|
|
|
|
handout
Pg. 351 #2,3,7,9,10 |
|
|
|
|
|
|
|
|
23 |
|
Vertex Form - Application Problems |
|
|
|
|
Pg 352 #11,12,15,20,21 |
|
|
|
|
|
|
|
|
24 |
|
Vertex Form - Completing the Square |
|
|
|
|
Pg. 390 #5,8,11,12 |
|
|
|
|
|
|
|
|
25 |
|
Handout
Pg 392 #17,17,19,20 |
|
|
|
Maximum/minimum problems |
|
|
|
|
|
|
|
|
|
26 |
|
Pg. 403 #6a-d, 12,15
handout |
|
|
|
Quadratic Formula |
|
|
|
|
|
|
HANDOUT |
|
|
|
|
|
|
|
|
|
QUIZ |
|
|
|
|
SOLVING QUADRATIC EQUATIONS |
|
|
|
|
Quadratic Formula |
|
|
|
|
|
|
29 |
|
|
|
|
|
|
|
|
|
|
Quadratic Formula- Application Problems |
|
|
|
|
|
Graphing Quadratic Relations from vertex form, domain and range |
|
handout |
|
|
30 |
|
|
|
|
|
|
|
|
|
|
December |
|
|
|
1 |
|
Transformations of Quadratic Functions |
|
|
|
|
|
2 |
|
Transformations of Quadratic Functions |
|
|
|
|
Chart & journal |
|
|
|
|
|
|
|
|
Pg. 365 #7,8 |
|
|
|
|
3 |
|
|
|
|
PA DAY |
|
|
|
|
|
|
|
|
|
6 |
|
|
|
Review |
|
|
|
|
CHART |
|
|
|
|
|
|
|
|
JOURNAL |
|
|
7 |
|
|
|
|
Review |
|
|
|
|
|
|
|
|
|
8 |
|
|
|
TEST - QUADRATIC FUNCTIONS |
|
|
|
|
TEST |
|
|
|
|
|
|
|
|
9 |
|
|
|
Similar Triangles-Introduction |
|
Pg. 461 #4,6,7,8 |
|
|
|
10 |
|
|
|
Similar Triangles and Scale Factor |
|
|
|
|
Pg. 476 #6,7,8,9,10,11,12,13 |
|
|
|
|
|
|
|
|
13 |
|
|
|
Similar Triangles Applications |
|
Pg. 539#3,7,10 |
|
|
|
|
|
|
|
|
JOURNAL |
|
|
14 |
|
|
|
|
Introduction to Trigonometric Ratios |
|
Pg. 496#2,6,8,9,10,14,17 |
|
|
|
|
|
|
|
|
|
|
|
|
|
15 |
|
|
|
Trigonometric Ratios Application |
|
Trigonometry Tutorial |
|
|
|
|
|
|
|
|
Trigonometric Ratios-Double Triangles
Review |
|
|
16 |
|
|
|
|
|
|
TEST SIMILAR TRIANGLES AND TRIGONOMETRY |
|
|
17 |
|
|
|
|
|
|
WINTER HOLIDAYS-HAVE A FANTASTIC BREAK!!!! |
|
|
|
January |
|
|
|
Sine Law Tutorial |
|
|
|
|
|
Introduction to Sine Law |
|
|
3 |
|
|
|
|
|
Pg. 476 #6,7,8 |
|
|
|
|
|
|
|
|
4 |
|
|
|
Sine Law Application |
|
|
|
|
Pg. 550 #13,14,15,16
Pg. 555 #2,3,5,6,8,9,10 |
|
|
|
|
|
|
|
|
5 |
|
|
|
Introduction to Cosine Law |
|
|
|
|
Cosine Law Tutorial |
|
|
|
|
|
|
|
|
6 |
|
|
|
Sine Law and Cosine Law Application |
|
|
|
|
Pg. 567 #6,8,9,13 |
|
|
|
|
|
|
|
|
7 |
|
|
|
Sine Law and Cosine Law |
|
|
|
|
Pg. 567 #11, 15, 16,17
Assignment |
|
|
|
|
|
|
|
|
10 |
|
|
|
Review Trigonometry-Ratios, Sine Law and Cosine Law |
|
|
|
|
|
11 |
|
|
|
Test-Trig Ratios, Sine Law and Cosine Law |
|
TEST |
|
|
|
|
|
|
|
|
12 |
|
Course Review |
|
|
|
|
|
13 |
|
|
|
Summative Task |
|
|
|
|
|
Course Review |
|
|
14 |
|
|
|
|
|
|
Summative Task |
|
|
|
Summative Task |
|
|
|
Exam Review |
|
|
|
Exam Review |
|