Souris Regional School
Mr. MacClure

 
Math 421 - 2014/15
 
Math 421 - YouTube Links
 

 
Ch 2 - Trigonometry
  

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
# 3-8 (ac), 9a, 10-11 (ac)
# 12, 14
# (15 or 17)
 
 
Feb 9-10

Ch 2.2
Tangent Lengths


protractor
direct measurement
indirect measurement
 
Ex 1:  Finding Lengths
Ex 2:  Finding Lengths
Ex 3:  Measurements
 
Assignment 2.2
# 3-5 (ac), (6 or 7)
# 8, 10, 11, (13 or 14)
 
Feb 11-12
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
# 5-10 (ac), 11
# (12 or 13)
 
 
 
 
Feb 12-13
Ch 2.5
Sin & Cos Lengths
 
 
 
surveyor
 
 
 
 
Ex 1:  Using Sine & Cosine
Ex 2:  Using Sine & Cosine
Ex 3:  Indirect Measurements
 
Assignment 2.5
# 3-5 (ac)
# 6-9

 
Feb 23-24
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), 7-8
# (9 or 10)
 
Feb 24-25
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 26-27
Ch 2.1 - 2.7 Quiz # 1
(Value = 100)
Trigonometry

  Mar 4
Ch. 2 Note: 7 storm cancellation and 2 one-hour delays during this section
 

  
Ch 3 - Factors & Products
  

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
x2 + 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
ax2 + 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
ax2 + 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 one-hour delay during this section

  
Ch 4 - Roots & Powers
  

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
 

 
Ch 5 - Relations & Functions
 

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
Slope-Intercept
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
Slope-Point
Form of Equation
  
 
y - y1 = m (x - x1)
  
  

 
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
 
  
Ax2 + 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 10-11
Final Exam
 
  Ch 2, 5, 6, 7
 
  June 15
 
         

Mr. MacClure's Classes

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