Grade 10, Math Notes
Grade 10
Math
Formulae for High School
Algebra
Componendo and Dividendo
Chapter 1
Coordinate Geometry
Chapter 2
Exponents and Radicals
Rule of Integral Exponents
Radical Terms
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Rules of Radicals (Pg. 34)
Operation with Radicals
Product, And and Substract
Rationalizing the Denominators (ပိုင်းခြေညှိခြင်း)
Exponential Equation
Chapter 3
Logarithem
Exponential Form and
Logarithemic Form
Chapter 4
Functions
Order Pair
Product sets and Order Pair
Universal Set
Elements, Relation, Domain and Range and Graph
Relation, Function and Codomain
Vertical Line Tests for Function or not
Function onto Domain
f : X - Y
Nature of Functional Problems
The Domain of a Function
Equality of Functions
Flow of Function
4.3.1 Graph of a Function (Pg.
Steps to draw the graph of a Function (Pg. 72)
The Graph of Linear Function (Pg. 72)
The Graph of Quadratic Function (Pg. 73)
The Graph of Modulus Function
(Pg. 73)
The Graph of Square Root Function (Pg. 74)
Graphs of y=k/x
If K>0,
Graphs of y=k/x
If K<0,
(ii) Pg. 75
Pg. 75
Pg. 76
One to One Function (Pg.77)
Inverse Function (Pg. 78)
Composition of Functions (Pg. 80)
Correction - g(f(x))
Chapter 5
Quatratic Functions (Pg. 86)
Chapter 5
Quatratic Functions
Reflection between X2 & - X2
(Pg. 86)
Chapter 5
Quatratic Functions
Standard Form to Vertic Form
(Pg. 87)
Chapter 5
Vertical Translation
Chapter 5
Horizotal Translation
y=ax2+bx+c and y=-ax2+bx+c
Example (1 & 2) Pg 87 &. 88
Graph of Function y=ax2
y=2x2
y=1/2x2
y=-2x2
y=--1/2x2
If (p, q) is on y=X2, then (p, aq) is on (p, aq).
Reflection, Translation and Scaling
Graph of Function y=ax2+bx+c
Example - 3 Pg. 90
Example - 4 Pg. 90
Vertex, Axis of Symetry, Y-intercept, domain and range Pg. 91
5.2 Guides for solution of unknown problem Step 1 (Search value of y in x term from x+y = sum result number)
Step 2 ( search the value of x in number from product equation eg. xy = area or something using upper value of y and x=H or x=-b/2 )
Step 3 (Search value of y by substitution of value of x in a upper equation)
Vertex Form, Page 91
Discriminant of a Quadratic Function, Pg - 93 Type I (b2-4ac greater than 0)
Discriminant of a Quadratic Function, Pg - 93 Type II (b2-4ac less than 0)
Discriminant of a Quadratic Function, Pg - 93 Type III (b2-4ac = 0)
Summary of Type I, II & III and Factor Forms, Pg
Similarity
Exercise
Page - 146
Bisector Theorem
Pythagoras Theorem
Theorem 6
Theorem 7 & Reverse of Pythagoras
Special Right Triangle (Pg. 155)
Chapter 10
Circles
Circle, Center, Concentric Circle & Radius
Chords, Congruent Circles & Secant
Tangent, Arc & Semicircle
Central Angle and Inscribed Angle
(Pg. 160)
1-same arc and same inscribed angle in same circle and
2-Cyclic Quadrilateral
Exteria Angle of Cyclic Quadriletral
Same Inscribed Angles of Same Circles (Pg. 163)
9.2 Properties of Chords Pg. 167
9.2 Properties of Chords Pg. 168
9.2 Properties of Chords Pg. 170
Theorem 11 & 12
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