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Mindconnection Math Class Course
Page 2 of 113 pages
Table of Contents
INTRODUCTION AND PERSONAL
NOTES....................................................... 6
WHERE THIS COURSE STOPS
.......................................................................
12
PRELUDE: LAYING THE FOUNDATION
......................................................... 14
PRETEST...........................................................................................................
17
F OUR
FUNCTION
FINESSE..................................................................................
18
A THLETIC
ALGEBRA...........................................................................................
19
T RICK-FREE
TRIG..............................................................................................
20
S TORY PROBLEMS
(COMBINATION
PROBLEM-SOLVING)
......................................... 22
PART ONE: BASIC
CONCEPTS.......................................................................
23
R OUNDING........................................................................................................
25
S QUARING........................................................................................................
27
Squares you should know
...............................................................................................................29
Practice the
squares.......................................................................................................................33
R ESTATING.......................................................................................................
34
Example
1......................................................................................................................................35
Example
2......................................................................................................................................36
Example
3......................................................................................................................................36
Expanding the principle
.................................................................................................................38
Restatement applied
generally........................................................................................................41
Restating the principle of
restating.................................................................................................43
Practice
restating...........................................................................................................................44
Restating practice problem answers
...............................................................................................45
Mindconnection Math Class Course
Page 3 of 113 pages
B REAKING
........................................................................................................
46
S IMPLIFYING
.....................................................................................................
48
Practice
simplifying.......................................................................................................................51
Simplifying practice question answers
............................................................................................52
P ATTERNING.....................................................................................................
55
P RACTICE EXERCISES........................................................................................
58
Practice addition
...........................................................................................................................58
Practice
subtraction.......................................................................................................................58
Practice
multiplication...................................................................................................................59
Practice division
............................................................................................................................59
P RACTICE QUESTION
ANSWERS
..........................................................................
60
Practice addition answers
..............................................................................................................60
Practice
subtraction.......................................................................................................................60
Practice
multiplication...................................................................................................................61
Practice division
............................................................................................................................61
M APPING..........................................................................................................
62
Rules of
thumb...............................................................................................................................62
9-method........................................................................................................................................63
Fractions made easy
......................................................................................................................63
Useful square roots
........................................................................................................................64
Average, mean, median
..................................................................................................................64
Nested operations
..........................................................................................................................65
Positives and negatives
..................................................................................................................65
Geometry rules
..............................................................................................................................66
Trig
rules.......................................................................................................................................66
P RACTICE
MAPPING
..........................................................................................
67
Odd or
Even?.................................................................................................................................67
Practice the
9-method....................................................................................................................68
Practice the 5 times
rule.................................................................................................................69
Mindconnection Math Class Course
Page 4 of 113 pages
Find the
average............................................................................................................................70
Find the weighted mean
.................................................................................................................70
Find the
median.............................................................................................................................71
T ABLES
............................................................................................................
72
Addition
Table...............................................................................................................................72
Multiplication
Table.......................................................................................................................73
A DVANCED STUFF
.............................................................................................
74
PART TWO: FOUR FUNCTION
FINESSE........................................................ 75
Story problem
#1............................................................................................................................79
Story problem
#2............................................................................................................................80
PART THREE: ATHLETIC
ALGEBRA.............................................................. 83
Basic algebra
problems..................................................................................................................86
Story
problems...............................................................................................................................87
PART FOUR: TRICK-FREE
TRIG.....................................................................
88
POST TEST
.......................................................................................................
95
F OUR
FUNCTION
FINESSE..................................................................................
96
A THLETIC
ALGEBRA...........................................................................................
97
T RICK-FREE
TRIG..............................................................................................
98
S TORY PROBLEMS
(COMBINATION
PROBLEM-SOLVING)
......................................... 99
TEST
ANSWERS.............................................................................................
100
F OUR
FUNCTION
FINESSE................................................................................
100
A THLETIC
ALGEBRA.........................................................................................
101
A NS.
PROBLEM
2: 144/4 = 36 || 36 * 3 = 108 || 4 – 10 = -6,
MINUS SIGNS CANCEL.101
Mindconnection Math Class Course
Page 5 of 113 pages
T RICK-FREE
TRIG............................................................................................
102
S TORY PROBLEMS
(COMBINATION
PROBLEM-SOLVING)
....................................... 104
PART FIVE: PRACTICE
PROBLEMS.............................................................
106
P RACTICE
PROBLEMS......................................................................................
107
P RACTICE
ANSWERS
.......................................................................................
108
MOVING ON FROM
HERE..............................................................................
109
W HAT YOU’VE
GAINED
.....................................................................................
110
S TAYING SHARP
..............................................................................................
111
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