Souris Regional School
Mr. MacClure
Math 421  2014/15
Math 421 
YouTube Links


Sections  Terms & Definitions  Examples  Assignments & Quizzes  Work Dates 
Introduction & Course outline 
Autobiography  Feb 4  8  
Ch 2.1 Tangent Angles 
solar panels angle of inclination tangent inverse tan Pythorean Theorem 
Ex 1: Tangent
Ratios Ex 2: Angle Measures Ex 3: Angle of Inclination Ex 4: Solving Problems 
Assignment 2.1 # 38 (ac), 9a, 1011 (ac) # 12, 14 # (15 or 17) 
Feb 910 
Ch 2.2 
protractor direct measurement indirect measurement 
Ex 1: Finding
Lengths Ex 2: Finding Lengths Ex 3: Measurements 
Assignment 2.2 # 35 (ac), (6 or 7) # 8, 10, 11, (13 or 14) 
Feb 1112 
Ch 2.3 Measuring Heights 
clinometer 
Discussion Outside measurements (weather permitting) 
   
Ch 2.4 Sin & Cos Ratios 
tracks & tunnels sine & cosine trigonometry primary trig ratios angle of elevation tool & die maker 
Ex 1: Finding Sine
& Cosine Ex 2: Using Sine & Cosine Ex 3: Solving Problems 
Assignment 2.4 # 510 (ac), 11 # (12 or 13) 
Feb 1213 
Ch 2.5 Sin & Cos Lengths 
surveyor 
Ex 1: Using Sine
& Cosine Ex 2: Using Sine & Cosine Ex 3: Indirect Measurements 
Assignment 2.5 # 35 (ac) # 69 
Feb 2324 
Ch 2.6 Trig Ratios 
ramps wind turbines 
Ex 1: Solving a
Right Triangle Ex 2: Solving a Right Triangle Ex 3  Omit 
Assignment 2.6 # 6 (ac), 78 # (9 or 10) 
Feb 2425 
Ch 2.7 Double Triangles 
pyramids angle of depression Claudius Ptolemy 
Ex 1: Two Triangles Ex 2: Same Plane Ex 3: Omit 
Assignment 2.7 # 3  5 (a), 6 # 9, 11, 13 
Feb 2627 
Ch 2.1  2.7  Quiz # 1 (Value = 100) 
Trigonometry 
Mar 4  
Ch. 2 Note: 7 storm cancellation and 2 onehour delays during this section  


Sections  Terms & Definitions  Examples  Assignments & Quizzes  Due Dates 
Ch 3.1 Factors & Multiples 
patterns prime factor prime factorization composite numbers greatest common factor (GCF) least common multiple (LCM) cryptography 
Ex 1: Prime
Factors 1 Factor tree 2  Repeated division Ex 2: GCF Method 3  Prime factorization Ex 3: LCM Method 1  List Method 3  Prime factorization Ex 4: Solving Problems a) smallest square b) largest square 
Assignment 3.1 # 3ac, 4ac, 5ac, 6ac # 8ac, 9a, 10a, 11a, # 12, 13, 15ac, 16acg, 17, 19a 
Mar 2, 5 
Ch 3.2 Perfect Squares Perfect Cubes 
Rubik's cube square root perfect square cube root perfect cube index radicand radical 
Ex 1:
Square Root 1  Prime factors 2  Estimate Ex 2: Cube Root 1  Prime factors *  Use of calculator Ex 3: Solving Problems i) Find cube (calculator) ii) Calculate surface area 
Assignment
3.2 # 4ac, 5ac, 6ac # 7a, 8a, 9, 13 
Mar 6 
Ch 3.3 Polynomial Factors 
polynomial binomial trinomial 
Note:
Expanding (Distribution) Ex 1: Square Root 1  Prime factors 2  Estimate Ex 2: Cube Root 1  Prime factors *  Use of calculator Ex 3: Solving Problems i) Find cube (calculator) ii) Calculate surface area 
Assignment
3.3 # 7ace, 8ace, 9ace # 10ace, 14a, 16a, 17 
Mar 9 
Ch 3.4 Common Factors 
Taylor Polynomials  Omit this section    
Ch 3.5 Polynomials of the form x^{2} + bx + c 
common factors  Ex 1:
Multiplying Binomials 2  Distributive Property Ex 2: Factoring Trinomials Find factors. Add them Ex 3: Factoring Trinomials Method 2  Rewrite Method 1  Use negatives first Ex 4: Common Factors Divide by common factor first 
Assignment
3.5 # 12aceg, 11aceg # 14aceg, 17abc # 19ace, 20ace, 21ace 
Mar 10, 11 
Ch 3.6 Polynomial Expansion of the form ax^{2} + bx + c 
expanding (distribution) 
Ex 1: Two Binomials *  Expand, using FOIL Ex 2: Factoring Trinomials *  Expand, using FOIL 
Assignment 3.6A # 9ace, 10ace 
Mar 12 
Ch
3.1  3.6 
Quiz
# 2 (Value = 100) 
Factoring & Products  Mar 27 or 30 ? 

Ch 3.6 Polynomial Factoring of the form ax^{2} + bx + c 
factoring by
logic decomposition overload computer graphics artist Francois Viete 
Ex 3: Factoring Trinomials Method 2  Logical Reasoning Ex 4: Factoring Trinomials Decomposition 
Assignment
3.6B # 13ace, 15ace, 18ace 
Mar 13, 26 
Ch 3.7 Multiplying Polynomials 
distributive property  Ex 1:
Distributive Property Ex 2: Multiplying Ex 3: Simplifying 
Assignment
3.7 # 4ac, 5ace # 6a (i, vi), 7a (i, ii) # 8ac, 12, 16 
Mar 27 
Ch 3.8 Factoring Special Polynomials 
hectare perfect squares difference of squares 
Ex 1:
Perfect Squares Ex 3: Difference of Squares Ex 2: Two Variables 
Assignment
3.8 # 4ace, 5, 6 # 8ace, 10ace # 7ace, 12ac, 11ace 
Mar 31 
Ch
3.6  3.8 
Quiz
# 3 (Value = 24) 
Factoring  Apr 9  
Ch. 3 Note: 4 storm cancellations and 1 onehour delay during this section  


Sections  Terms & Definitions  Examples  Assignments & Quizzes  Due Dates 
Ch 4.1 Estimating Roots 
radical radicand index 
Mr.MacClure's notes  No Assignment 
Apr 8 
Ch 4.2 Roots & Powers 
rational numbers irrational numbers real number systems 
Ex 1: Classifying
Numbers Ex 2: Ordering Irrationals  use of calculator 
Assignment 4.2 # 3, 4, 5, 8, 12, 13 # 18a, 19, 20 
Apr 10 
Ch 4.3 Radicals 
Pythagorean spiral multiplication property entire radicals mixed radicals 
Ex 1: Simplifying
Radicals  prime factorization Ex 2: Simplest Form Ex 3: Entire Radicals 
Assignment 4.3 # 4aceg, 5aceg, 9 # 10aceg, 11aceg, 12aceg # 14, 15, 16, 17ac, 18a # 22a (Use radicals), 23a 
Apr 13 
Ch 4.4 Fractional Exponents & Radicals 
caffeine % rational exponents 
Ex 1:
Fractional Exponents Ex 2: Radicals & Exponents Ex 3: Rational Exponents & Rational Bases Ex. 4: Applications 
Assignment 4.4 # 3  8 (parts ac) # 9a, 10  14 (parts ac) # 15, 17, 18, 21 
Apr 14 
Ch 4.5 Negative Exponents & Radicals 
reciprocals computers & π 
Ex 1: Negative
Exponents Ex 2: Neg. Rational Exp. Ex 3: Applications 
Assignment 4.5 # 3  8 (parts ac) # 9aceg # 11, 13ace, 16 
Apr 15 
Ch 4.6 Exponent Laws 
platonic solids financial planner the Golden Ratio human calculators 
Ex 1: Rational
Bases Ex 2: Integer Exponents Ex 3: Rational Exponents Ex 4: Applications 
Assignment 4.6 # 3  11 (parts ac) # 15, 16 
Apr 17 
Ch
4.2  4.6 
Quiz
# 4 (Value = 100) 
Roots
& Powers 
Apr 22  


Sections  Terms & Definitions  Examples  Assignments & Quizzes  Due Dates 
Ch 5.1 Relations 
set element relation 
Ex 1:
Tables & Arrow Diagrams Ex 2: Bar Graphs Ex 3: Diagrams 
Assignment
5.1 # 3ab, 4a, 6ab, 7ab # 8ab, 9a 
Apr 20 
Ch 5.2 Function Properties 
domain & range function dependent variable independent variable function notation forensic anthropolgist 
Ex 1:
Identifying Functions Ex 2: Describing Functions Ex 3: Function Notation 
Assignment
5.2 # 4  8 # 9b, 10ab, 12 # 14, 15, 18ab, 19ab 
Apr 22 
Ch 5.3 Interpreting Graphs 
Ex 1:
Graphs Ex 2: Describing Situations Ex 3: Sketching Graphs 
Assignment
5.3 # 3  9, 11 # 13, 14 
Apr 24 

Ch 5.5 Graphs of Relations & Functions 
vertical line test 
Ex 1:
Graphs & Functions Ex 2: Domain & Range Ex 3: Domain & Range Ex 4: Domain & Range 
Assignment
5.5 # 4  7 # 8 (omit domain & range) # 9, 10ab, 11  13 # 14ab, 16, 17 
Apr 29 
Ch 5.6 Linear Relations 
patterns rate of change 
Ex 1:
Table of Values Ex 2: Equations Ex 3: Linear Relations Ex 4: Rates of Change 
Assignment
5.6 # 3  5, 6(i, iii, v) # 7a, 10, 12, 13, 14 # 17a 
May 5 
Ch 5.7 Graphs of Linear Relations 
horizontal intercept vertical intercept Theano 
Ex 1:
Intercepts, Domain & Range Ex 2: Sketching Graphs Ex 3: Matching Graphs Ex 4: Solving Problems 
Assignment
5.7 # 4, 5, 6ac, 8, 9 # 11, 12abc # 13, 14, 17 
May 7 
Ch
5.1  5.7 
Quiz
# 5 (Value = 100) 
Relations
& Functions 
May 11 

Ch 6  Linear Functions 

Sections  Terms & Definitions  Examples  Assignments & Quizzes  Due Dates 
Ch 6.1 Slope of a Line 
slope rise / run slope of a line formula slope of a road 
Ex 1:
Slope of a Line Ex 2: Drawing a Line (using Slope) Ex 3: Finding Slope from Points Ex 4: Interpreting Slopes 
Assignment
6.1 # 1, 5, 6, 8, 9 # 11a, 13i, iii, 15, 16 
May 12 
Ch 6.2 Parallel & Perpendicular Lines 
parallel perpendicular negative reciprocal 
Ex 1:
Parallel Lines Ex 2: Compare Slopes Ex 3: Perpendicular Lines (Ex 4: Omit) 
Assignment
6.2 # 3  6, 8, 10, 12abcd 
May 14 
Ch 6.3 
Omit this
section for now 
  
Ch 6.4 SlopeIntercept Form of Equation 
y = mx + b 
Ex 1:
Equation for Slope & Intercept Ex 2: Sketching a Graph Ex 3: Equation of a Linear Function Ex 4: Solving a Problem 
Assignment
6.4 # 4  7 (each ac) # 8, 9 ,11, #12ac, 13abc #14, 16, 17 
May 19 
Ch 6.5 SlopePoint Form of Equation 
y  y_{1} = m (x 
x_{1}) 
Ex 1:
Sketching a Graph Ex 2: Point & Slope Ex 3: Two Points Ex 4: Parallel & Perpend. 
Assignment
6.5 # 4ace, 5ac, 6ac, 7a (graph) # 8a, 9 (i, iii), 11ac 
May 21 
Ch 6.6 General Form of Equation 
Ax^{2} + Bx + C = 0 
Ex 1:
General Form Ex 2: Finding the Slope Ex 3: Sketching a Graph Ex 4: Writing an Equation 
Assignment
6.6 # 4, 5ab, 6, 7, 8, 12 # 14ab, 15, 16, 18ab 
May 25 
Ch 6.6 Review Assignment 
Mr. MacClure's handout  May 25  
Ch
6.1  6.6 
Quiz
# 6 (Value = 100) 
Linear
Functions & Slopes 
May 28  
Ch 7  Systems of Linear Equations 

Sections  Terms & Definitions  Examples  Assignments & Quizzes  Due Dates 
Ch 7.1 Linear Systems 
Ex 1:
Use a Diagram Ex 2: Use a Table Ex 3: Problem 
Assignment
7.1 # 4, 5, 6, 8, 11, 12, 13 
June 1  
Ch 7.2 Solving Graphically 
Ex 1:
Graphing Ex 2: Problem  Graphing Ex 3: Problem  Writing 
Assignment
7.2 # 3, 4, 5a(i), 6, 7ab, 8 
June 2  
Ch 7.3  Omit 
  
Ch 7.4 Using Substitution 
equivalent equations electronics technician 
Ex 1:
Substitution Ex 2: Solve a Problem Ex 3: Fractional Coeff. 
Assignment
7.4 # 4ac, 5ac, 8a, 9a, # 10, 11, 12, 19a 
June 4 
Ch 7.5 Using Elimination 
Ex 1:
Elimination Ex 2: Rationals Ex 3: Solving a Problem (Ex 4: Omit) 
Assignment
7.5 # 3ab, 4a, 6ab, 10 # 12b, 16, 17 
June 5  
Ch 7.6 System Properties 
intersecting lines parallel lines coincident lines 
Ex 1:
# of Solutions Ex 2: Creating Solutions 
Assignment
7.6 # 4, 5, 7abc, 10, 11, 14 
June 9 
Ch
7.1  7.6 
Quiz
# 7 (Value = 100) 
Systems
of Linear Equations 
  
Ch 1  Measurements 

Sections  Terms & Definitions  Examples  Assignments & Quizzes  Due Dates 
  
Review  Ch 2, 5, 6, 7  June 1011  
Final Exam 
Ch 2, 5, 6, 7 
June 15 
