1A Math

1. Geometry and measurement

1.1. Angles & Parallel lines

1.1.1. Points, lines & planes

1.1.1.1. Different objects

1.1.1.1.1. Point

1.1.1.1.2. Line

1.1.1.1.3. Line Segment

1.1.1.1.4. Ray

1.1.1.1.5. Point of intersection

1.1.1.1.6. Plane

1.1.2. Angles

1.1.2.1. Typs of angles

1.1.2.1.1. Acute angle

1.1.2.1.2. Right angle

1.1.2.1.3. Obtuse angle

1.1.2.1.4. Reflex angle

1.1.2.2. Categories of angles

1.1.2.2.1. Complementary angles

1.1.2.2.2. Supplementary angles

1.1.2.2.3. Adjacent angles

1.1.2.2.4. Corresponding angles

1.1.2.2.5. Alternate angles

1.2. Triangles, quadrilaterals & other polygons

1.2.1. How to construct triangles and quadrilaterals

1.2.1.1. Things needed

1.2.1.1.1. Ruler A pair of compasses A pencil An eraser

1.2.1.2. Steps

1.2.1.2.1. For using only compass

1.2.1.2.2. For using only protractor

1.2.2. Triangles

1.2.2.1. Categories of triangles

1.2.2.1.1. Isosceles triangle

1.2.2.1.2. Equilateral triangle

1.2.2.1.3. Scalene triangle

1.2.2.2. Angles

1.2.2.2.1. Internal angles

1.2.2.2.2. External angles

1.2.3. Quadrilaterals

1.2.3.1. Are shapes with 4 sides

1.2.3.1.1. Parallelogram

1.2.3.1.2. Rectangle

1.2.3.1.3. Rhombus

1.2.3.1.4. Square

1.2.3.1.5. Trapezium

1.2.3.1.6. Kite

1.2.3.2. Properties

1.2.3.2.1. Have 4 angles that add up to 360°

1.2.3.3. Parallelogram Rectangle

1.2.4. Polygons

1.2.4.1. usually ends with "-gon", but some don't

1.2.4.1.1. Triangle (3-sided)

1.2.4.1.2. Quadrilateral (4-sided)

1.2.4.1.3. Pentagon (5-sided)

1.2.4.1.4. Hexagon (5-sided)

1.2.4.1.5. Heptagon (7-sided)

1.2.4.1.6. Octagon (8-sided)

1.2.4.1.7. Nonagon (9-sided)

1.2.4.1.8. Decagon (10-sided)

1.2.4.1.9. Anything after that it is just [Number of sides]-gon

1.2.4.2. Sum of internal angles

1.2.4.2.1. [Number of sides]-2×180°

1.2.4.3. Symmetry of polygons

1.2.4.3.1. Conventional symmetry

1.2.4.3.2. Rotational symmetry

2. Numbers and algebra

2.1. Factors & Multiples

2.1.1. Primes, prime factorisation & index notation

2.1.1.1. A whole number that is greater than 1 is divisible by each of its factors, that is, it can be divided by any of its factors without leaving a remainder

2.1.1.1.1. A whole number greater than 1 can be classified as either a prime nmber or a composite number

2.1.2. Highest Common Factor

2.1.2.1. The HCF of two or more whole numbers is the largest whole number that divides the given numbers exactly

2.1.2.1.1. Use ladder method

2.1.3. Lowest Common Multiple

2.1.3.1. The LCM if two or more whole numbers is the smallest whole number that is a common multiple of the given numbers

2.1.3.1.1. Use ladder method

2.1.4. Square and cube roots

2.1.4.1. A number whose square root is a whole number is called a "perfect square"

2.1.4.1.1. E.g. 1, 4, 9, 16 and 25

2.1.4.2. Square root is just the number to the power of half

2.1.4.3. The cube root is just the number to the power of one-third

2.2. Real numbers

2.2.1. Positive & Negative numbers

2.2.1.1. Addition and subtraction

2.2.1.1.1. Adding

2.2.1.1.2. Subtracting

2.2.1.2. Range

2.2.1.2.1. Numbers above 0 are positive

2.2.1.2.2. Numbers below 0 are negative

2.2.1.3. Multiplication

2.2.1.3.1. With positive

2.2.1.3.2. With negative

2.2.1.4. Division

2.2.1.4.1. With positive

2.2.1.4.2. With negative

2.2.2. Number line

2.2.2.1. A line with 0 at the middle

2.2.2.1.1. To the right is positive numbers

2.2.2.1.2. To the left is negative numbers

2.2.2.2. Mark numbers on the line with a dot, and a string of dots if it is a range of numbers

2.2.3. Rational, irrational and real numbers

2.2.3.1. Real numbers are all the numbers possible

2.2.3.1.1. Rational numbers are numbers that can be expressed i the for of fractions, in which both the denominator and the numerator are both integers and the denominator is not equals to 0

2.2.3.1.2. Irrational numbers are umbers that never end, and can never be simplified into fractions

2.3. Approximation & estimation

2.3.1. Estimation

2.3.1.1. You estimate the number by

2.3.1.1.1. Rounding

2.4. Basic algebra & algebraic manipulations

2.4.1. An algebraic expression consists of numbers & variables connected with operation symbols (+, -, ×, ÷, =, and/or brackets)

2.4.1.1. Basic equations

2.4.1.1.1. Addition

2.4.1.1.2. Subtraction

2.4.1.1.3. Multiplication

2.4.1.1.4. Division

2.4.1.2. Complex equations

2.4.1.2.1. a × a

2.4.1.2.2. a × a × a

2.4.2. Linear expressions

2.4.2.1. Simplification

2.4.2.1.1. Linear expressions

2.4.2.1.2. Algebraic expressions

2.4.2.2. Expansion

2.4.2.2.1. Remove the brackets, and multiply whatever that is needed to be multiplied

2.5. Simple equations in one variable

2.5.1. Also contains algebra

2.5.1.1. Linear equations

2.5.1.1.1. One variable

2.5.1.2. Fractional equations

2.5.1.2.1. Transform the fraction into a linear equation for easier solving

2.5.2. To solve word problems

2.5.2.1. Create a linear equation for easier solving