9+Mathematics

__**Consumer Arithmetic **__ Some people work for themselves and charge a fee for their services or sell for a profit, but most people work for others to obtain an income. The main ways of earning an income from an employer are through a salary, piece work, casual, commission or wages. Working For Others Extra Payments Wage Deductions Taxation Budgeting Best Buys Goods and Services Tax (GST) Discounts Working for a Profit Simple Interest Part I Simple Interest Part II

__**Algebraic Expressions**__ Learning algebra is like learning another language. Algebra is a language used to create mathematical models of real-world situations and to handle problems that cannot be solved using just arithmetic. Rather than using words, algebra uses symbols to make statements about things. An algebraic expression is one or more algebraic terms in a phrase. It can include variables, constants, and operating symbols.

Operations In Algebra <span style="font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px;">Expanding & Factorising

<span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px; text-align: center;">__**Indices**__ <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px; text-align: center;">Indices are used to write really big or really small numbers in a quicker way. They are often used in science to describe very large or very small distances, such as distances in space or distances between atoms. Indices are also sometimes used to describe the size of a large population.

<span style="font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px;">Review of Indices <span style="font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px;">Index Laws Part I <span style="font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px;">Index Laws Part II <span style="font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px;">Negative Indices Part I <span style="font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px;">Negative Indices Part II <span style="font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px;">Negative Indices Part III <span style="font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px;">Negative Indices Part IV <span style="font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px;">Fractional Indices Part I <span style="font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px;">Fractional Indices Part II <span style="font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px;">Scientific Notation

**__<span style="font-family: 'Comic Sans MS',cursive; font-size: 20px;">Equations __** <span style="background-color: #ffffff; display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: center;">Algebra is a division of mathematics designed to help solve certain types of problems quicker and easier. Algebra is based on the concept of unknown values called variables, unlike arithmetic which is based entirely on known number values. Many problems lend themselves to being solved with systems of linear equations. In "real life", these problems can be incredibly complex. This is one reason why linear algebra (the study of linear systems and related concepts) is its own branch of mathematics. <span style="background-color: #ffffff; display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: center;"> <span style="background-color: #ffffff; display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: left;">Solving Equations <span style="background-color: #ffffff; display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: left;">Equations with Pronumerals on Both Sides <span style="background-color: #ffffff; display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: left;">Graphing Inequations <span style="background-color: #ffffff; display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: left;"> <span style="background-color: #ffffff; display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: center;">__<span style="background-color: #ffffff; font-family: 'Comic Sans MS',cursive; font-size: 20px;">**Pythagoras' Theorem** __ <span style="background-color: #ffffff; display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: center;"><span style="background-color: #ffffff; font-family: 'Comic Sans MS',cursive; font-size: 20px;">Pythagoras of Samos was a Greek philosopher, mathematician, and founder of the religious movement called Pythagoreanism. Pythagoras is best known for the theorem relating the side of right-angled triangles, even though it cannot be proved that he was the person who discovered it. The followers of Pythagoras were sworn to silence which meant that Pythagoras could attribute any discoveries to himself. Failure to keep silent was punishable by death. Today, Pythagoras' theorem is used in jobs such as construction, computer engineers, architects, astronomers and agricultural workers. <span style="background-color: #ffffff; display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: left;"> <span style="background-color: #ffffff; display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: left;">Calculating The Hypotenuse <span style="background-color: #ffffff; display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: left;">Calculating Shorter Sides <span style="background-color: #ffffff; display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: left;"> <span style="background-color: #ffffff; display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: left;">__** Measurement **__ <span style="background-color: #ffffff; display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: left;"> The types of measurement studied in this topic have many uses in everyday life. Perimeter can be used to work out the amount of fencing needed for a property. Area can be used to calculate how much cement is needed to cover a space. Surface area can be used to work out how much paint is needed to cover a 3D object, and it also explains why pizzas stay warmer when stacked on top of each other. Volume can be used to calculate how many grains will fit into a silo. <span style="background-color: #ffffff; display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: left;"> <span style="background-color: #ffffff; display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: left;">Perimeter <span style="background-color: #ffffff; display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: left;">Composite Perimeters <span style="background-color: #ffffff; display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: left;">Area <span style="background-color: #ffffff; display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: left;">Composite Areas <span style="background-color: #ffffff; display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: left;"> <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">__**Straight Line Graphs**__ <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">The French mathematician Rene Descartes first introduced the number plane. He realised that using two sets of lines to form a square grid allowed the position of a point in the plane to be recorded using a pair of numbers or coordinates. <span style="background-color: #ffffff; display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: left;">Number Plane Review <span style="background-color: #ffffff; display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: left;">Graphing Straight Lines <span style="background-color: #ffffff; display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: left;">Horizontal and Vertical Lines <span style="background-color: #ffffff; display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: left;">Intersection of Two Straight Lines <span style="background-color: #ffffff; display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: left;"> __**<span style="background-color: #ffffff; font-family: 'Comic Sans MS',cursive; font-size: 20px;">Fractions & Decimals **__ <span style="background-color: #ffffff; font-family: 'Comic Sans MS',cursive; font-size: 20px;">This will just be a quick review of fractions and decimals that you would have learnt in Years 7/8. <span style="background-color: #ffffff; display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: left;"> <span style="background-color: #ffffff; display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: left;">Fractions <span style="background-color: #ffffff; display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: left;">Decimals <span style="background-color: #ffffff; display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: left;"> <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">__**Significant Figures**__ <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">No matter how accurate measuring instruments are, a quantity such as length cannot be measured exactly. Any measurement is only an approximation. A significant figure is a number that we believe to be correct within some specific or implied limit of error. <span style="background-color: #ffffff; display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: left;">Significant Figures <span style="background-color: #ffffff; display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: left;"> <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">__**Geometry**__ <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">The practical applications of geometry are abundant. Professions such as carpentry and engineering make regular use of geometry problems. Computer aided drafting and computer graphics for video games and movies use geometry extensively. Land surveying, navigation and astronomy all use geometry in their calculations. Geometry is also used in the medical field for imaging, modelling and more. <span style="background-color: #ffffff; display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: left;">Adjacent Angles <span style="background-color: #ffffff; display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: left;">Corresponding, Alternate & Co-Interior Angles <span style="background-color: #ffffff; display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: left;">Angles & Parallel Lines <span style="background-color: #ffffff; display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: left;">Triangles <span style="background-color: #ffffff; display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: left;">Properties of Quadrilaterals <span style="background-color: #ffffff; display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: left;">Polygons