Mathematics Year 9

Comprehensive skills across all major mathematics domains

27 Lessons
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Time span
More than 1year
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Lectures
12 Lessons
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Skill level
Expert
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Course Fee
$50 ( Per Hour )
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Students
8k Enrolled

Experience Excellence in Mathematics Preparation

Gain fluency and confidence in maths! Bright Minds College helps students master essential skills at their own pace through fun and interactive questions, built in support and motivating awards.

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Addition

Add doubles | Add three or more one-digit numbers | Add two-digit numbers - without regrouping | Add two-digit numbers - with regrouping | Addition word problems - up to two digits

⭐ 342 Skills
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Algebra

Complete a table for a two-variable relationship | Multiply monomials | Powers of monomials | Multiply two polynomials using algebra tiles

⭐ 485 Skills
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Calculus

Find one-sided limits using graphs | Determine end behaviour of polynomial and rational functions | Determine continuity on an interval using graphs | Chain rule

⭐ 95 Skills
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Comparing

Compare numbers up to 120 using words | Compare numbers up to 120 using symbols | Comparing numbers up to 1000 | Which number is largest/smallest?

⭐ 159 Skills
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Counting

Count pictures - up to 10 | Count to 20 | Count groups of ten | Skip-count by twos, fives and tens | Counting on the hundred chart

⭐ 202 Skills
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Decimals

Convert fractions and mixed numbers to decimals | Convert decimals to fractions and mixed numbers | Divide decimals by powers of ten | Divide decimals by whole numbers

⭐ 147 Skills
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Division

Division facts to 10 | Division facts to 10: word problems | Divisibility rules | Divide numbers ending in zeroes: word problems | Divide numbers ending in zeroes: word problems

⭐ 146 Skills
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Estimation

Estimate to the nearest ten | Estimate sums: word problems | Estimate quotients | Estimate sums, differences, products and quotients: word problems | Estimate percents of numbers

⭐ 96 Skills
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Exponents, roots and logarithms

Write multiplication expressions using exponents | Evaluate powers | Cube roots of perfect cubes | Estimate cube roots | Multiplication with integer exponents

⭐ 178 Skills
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Fractions

Simple fractions: parts of a group | Show fractions: fraction bars | Show fractions: area models | Fractions of a number | Decompose fractions

⭐ 283 Skills
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Functions and equations

Addition input/output tables - up to three digits | Multiplication input/output tables | Write and solve equations for proportional relationships

⭐ 418 Skills
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Geometry

Area of figures on grids | Similarity of circles | Area of sectors | Perimeter of polygons with an inscribed circle | Angles in inscribed quadrilaterals

⭐ 656 Skills
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Graphs

Interpret picture graphs II | Create picture graphs | Interpret bar graphs | Frequency charts | Coordinate planes as maps

⭐ 301 Skills
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Integers

Integers on number lines | Integer addition and subtraction rules | Complete addition and subtraction number sentences with integers | Divide integers

⭐ 59 Skills
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Logic and reasoning

Largest/smallest number possible | Age puzzles | Identify hypotheses and conclusions | Truth tables | Converses, inverses and contrapositives

⭐ 52 Skills
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Measurement

Wide and narrow | Tall and short | Which metric unit of mass is appropriate? | Read a thermometer | Compare metric units of length

⭐ 100 Skills
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Mixed operations

Fact families | Add, subtract and multiply | Add, subtract and multiply decimals: word problems | Add, subtract or multiply two fractions

⭐ 211 Skills
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Money and consumer maths

Coin values | Equivalent amounts of money - up to $1 | Least number of coins | How much more to make a dollar? | Simple interest

⭐ 110 Skills
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Multiplication

Multiplication word problems - facts to 10 | Squares up to 10 | Choose numbers with a particular product | Multiply numbers ending in zeroes: word problems

⭐ 218 Skills
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Number theory

Identify numbers as even or odd | Divisibility rules | Prime or composite | Prime factorisation | Classify numbers

⭐ 55 Skills
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Patterns

Complete a pattern | Find the next row in a growing pattern | Time patterns | Evaluate variable expressions for number sequences | Write variable expressions for arithmetic sequences

⭐ 139 Skills
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Percents

What percentage is illustrated? | Compare percents and fractions: word problems | Percents of numbers and money amounts | Solve percent equations

⭐ 76 Skills
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Place values

Place value models - tens and ones | Identify a digit up to the hundreds place | Place value models: up to thousands | Place value names: up to ten thousands

⭐ 83 Skills
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Probability and statistics

More, less and equally likely | Certain, probable, unlikely and impossible | Probability of opposite, mutually exclusive and overlapping events

⭐ 155 Skills
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Properties

Properties of division | Multiply using the distributive property | Solve equations using properties | Simplify variable expressions using properties | Properties of equality

⭐ 78 Skills
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Ratios and proportions

Unit rates and equivalent rates | Compare ratios: word problems | Do the ratios form a proportion? | Estimate population size using proportions | Scale drawings: word problems

⭐ 73 Skills
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Subtraction

Subtract with pictures - numbers up to 10 | Subtraction facts - numbers up to 20 | Subtract two-digit numbers - with regrouping | Subtract multiples of 100

⭐ 265 Skills
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Time

Timelines | Fractions of time units | Elapsed time | Find start and end times: multi-step word problems | Elapsed time word problems

⭐ 77 Skills
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Trigonometry

Pythagoras' theorem: word problems | Inverses of trigonometric functions | Law of Sines | Trigonometric ratios: csc, sec and cot | Trigonometric ratios in similar right triangles

⭐ 119 Skills
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Word problems

Addition word problems - up to three digits | Missing factors - facts to 10 - word problems | Number patterns: word problems | Estimate sums and differences: word problems

⭐ 306 Skills
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Lesson A: Numbers

This lesson covers different types of numbers such as rational and irrational, how to compare and order them, and place them on a number line. It also includes topics such as square and cube roots, and converting decimals and fractions.

Lesson B: Operations

This lesson focuses on basic operations with integers and rational numbers. Students will practice addition, subtraction, multiplication, and division with integers, as well as solve numerical and variable expressions.

Lesson C: Ratios, Rates and Proportions

This lesson explores ratios, rates, and proportions. Students will identify equivalent ratios, solve problems involving unit rates and prices, and learn to solve proportions in word problems.

Lesson D: Percents

This lesson covers percents, including converting between percents, fractions, and decimals. Students will solve percent equations and apply them to practical situations like calculating discounts, GST, and simple interest.

Lesson E: Measurement

This lesson focuses on converting rates and measurements, understanding precision, calculating possible errors, and applying percent error in measurement scenarios.

Lesson F: Geometric Measurement

In this lesson, students will explore perimeter, area, and volume, as well as surface area calculations for cylinders and prisms. They'll also work with compound figures and learn about interior angles of polygons.

Lesson G: Congruence and Similarity

This lesson focuses on the congruence and similarity of geometric figures, including transformations like dilations, properties of congruent triangles, and solving problems related to similar figures' perimeters and areas.

Lesson H: Pythagoras' Theorem

This lesson covers the Pythagorean Theorem, helping students find missing side lengths in right-angled triangles and solve word problems related to the theorem. It also includes the concept of special right triangles.

Lesson I: Trigonometry

This lesson introduces basic trigonometric ratios like sine, cosine, and tangent. Students will learn how to apply these ratios to solve for unknown side lengths and angles in right-angled triangles.

Lesson J: Coordinate Plane

In this lesson, students will review the coordinate plane, learn to use the midpoint formula, and calculate the distance between two points in the plane.

Lesson K: Properties

This lesson covers properties of addition and multiplication, the distributive property, and how to simplify variable expressions using these properties and the properties of equality.

Lesson L: Variable Expressions and Equations

Students will learn to write, simplify, and identify equivalent linear expressions. They'll also solve equations and rearrange multi-variable equations in this lesson.

Lesson M: Solve Equations

This lesson focuses on solving one-step, two-step, and advanced linear equations. Students will also practice solving equations with variables on both sides and solving word problems.

Lesson N: Data and Graphs

In this lesson, students will learn how to interpret and create bar graphs, line graphs, histograms, and stem-and-leaf plots. They'll also explore how to analyze data and extract useful information.

Lesson O: Relations and Functions

This lesson introduces relations and functions. Students will convert between tables, graphs, and mappings, identify independent and dependent variables, and solve problems involving function tables.

Course instructor

As a dedicated academic instructor with a passion for computer science, I believe in transforming complex technical concepts into engaging, accessible learning experiences. My approach focuses on personalized mentorship, practical skill development, and inspiring students to explore the limitless potential of technology.

Testimonial AuthorTestimonial Author

β€œMeet Thushani Warnakulasooriya! A passionate tutor with over four years of experience, she loves helping students succeed. Currently studying Computer Science at Swinburne University, she’s dedicated to making learning fun and rewarding!”

Thushani Warnakulasooriya
Academic Instructor
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