diff --git a/Grade 9/Math.md b/Grade 9/Math.md index c876c5c..f42ab0e 100644 --- a/Grade 9/Math.md +++ b/Grade 9/Math.md @@ -23,7 +23,7 @@ > |Part|Question| > |:---|:-------| > |A|9 multiple choice| -> |B|10 Short Answer -->
- 7 Knowledge questions
- 30 Application Questions| +> |B|10 Short Answer -->
- 7 Knowledge questions
- 3 Application Questions| > |C|10 Open Response -->
- 10 Knowledge Questions
- 5 Application Questions
- 3 Thinking Questions
- 1 Communication Question| # Essential Skills (1) @@ -65,9 +65,9 @@ >> A notation that represents an interval as a pair of numbers. >> The numbers in the interval represent the endpoint. E.g. **[x > 3, x ∈ R]** >> ```|``` means ```such that``` ->> ```E``` or ∈ means ```element of``` ->> ```W``` represents **Whole Numbers** (W = {x | x > 0, x ∈ Z}) ->> ```N``` represents **Natural Numbers** (N = {x | x ≥ 0, x ∈ Z}) +>> ```E``` or ∈ means ```element of``` +>> ```N``` represents **Natural Numbers** (N = {x | x > 0, x ∈ Z}) +>> ```W``` represents **Whole Numbers** (W = {x | x ≥ 0, x ∈ Z}) >> ```Z``` represents **Integers** (Z = {x | -∞ ≤ x ≤ ∞, x ∈ Z}) >> ```Q``` represents **Rational Numbers** (Q = {ab |a, b ∈ Z, b ≠ 0}) @@ -94,10 +94,11 @@ >> To Add / subtract rationals, find common denominator and then add / subtract numerator >> To Multiply rationals, first reduce the fraction to their lowest terms, then multiply numerators and denominators >> To Divide rationals, multiply them by the reciprocal ->> ### Example Simplify Fully: ->>> [Reduce to lowest terms] ->>> [Multiply by reciprocal] +>> ### Example Simplify Fully: +>>> [Reduce to lowest terms] + +>>> [Multiply by reciprocal] >>> @@ -106,9 +107,9 @@ >> ### Shortcut for multiplying fractions >>> cross divide to keep your numbers small >>> Example: ->>> ->>> ->>> +>>> +>>> +>>> >> ## Exponent Laws @@ -163,7 +164,7 @@ # Polyomials (2) > ## Introduction to Polynomials >> A ```variable``` is a letter that represents one or more numbers ->> An ```algebraic expression``` is a combination of variables and constants ```(e.g. x+y+6 = 5)``` +>> An ```algebraic expression``` is a combination of variables and constants ```(e.g. x+y+6. y + 8)``` >> When a specific value is assigned to a variable in a algebraic expression, this is known as substitution. > ## Methods to solve a polynomial >> 1. ```Combine like terms``` @@ -408,7 +409,7 @@ >> ```Y-intercept Form```: **y = mx + b** >> ```Point-slope Form```: **y2-y1 = m(x2-x1)** >> The slope of a vertical lines is undefined ->> The sloope of a horizontal line is 0 +>> The slope of a horizontal line is 0 >> Parallel lines have the ```same slope``` >> Perpendicular slopes are negative reciprocals