Mathematics Year 5

Comprehensive skills across all major mathematics domains

25 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 with pictures - sums up to 10 | Addition sentences using number lines - sums up to 10 | Add three or more one-digit numbers | Related addition facts | Add multiples of 100

⭐ 342 Skills
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Algebra

Write a two-variable equation | Identify the graph of an equation | Solve equations involving like terms | Solve a quadratic equation with other leading coefficients by factorising

⭐ 485 Skills
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Calculus

Find one-sided limits using graphs | Determine if a limit exists | Find limits using the division law | Determine end behaviour of polynomial and rational functions

⭐ 95 Skills
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Comparing

Compare numbers up to 120 using words | Comparing numbers up to 1000 | Put numbers up to 1000 in order | Which number is largest/smallest? | Compare numbers: up to ten thousands

⭐ 159 Skills
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Counting

Count shapes - up to 5 | Count pictures - up to 10 | Count scattered shapes - up to 10 | Count tens and ones - up to 30 | Counting on the hundred chart

⭐ 202 Skills
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Decimals

Equivalent decimals | Maps with decimal distances | Multiply two decimals | Divide decimals by whole numbers | Estimate sums and differences of decimals

⭐ 147 Skills
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Division

Division facts to 10: word problems | Divide three-digit and four-digit numbers by one-digit numbers: complete the table | Divide numbers ending in zeroes | Divide by powers of ten

⭐ 146 Skills
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Estimation

Solve inequalities using estimation | Estimate sums | Estimate differences | Estimate products of whole numbers and decimals | Estimate sums and differences of mixed numbers

⭐ 96 Skills
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Exponents, roots and logarithms

Evaluate powers | Find the missing exponent or base | Square roots of perfect squares | Quotient property of logarithms | Power property of logarithms

⭐ 178 Skills
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Fractions

Simple fractions: what fraction does the shape show? | Simple fractions: parts of a group | Show fractions: area models | Identify equivalent fractions | Fractions of a number

⭐ 283 Skills
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Functions and equations

Solve word problems involving two-variable equations | Write and solve equations for proportional relationships | Identify functions: vertical line test | Graph a horizontal or vertical line

⭐ 418 Skills
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Geometry

Flip, turn and slide | Estimate angle measurements | Area and perimeter: word problems | Pythagoras' Inequality Theorems | Angles in inscribed quadrilaterals

⭐ 656 Skills
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Graphs

Create picture graphs I | Create picture graphs II | Coordinate planes as maps | Choose the best type of graph | Circle graphs with fractions

⭐ 301 Skills
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Integers

Integers on number lines | Integer addition and subtraction rules | Add and subtract integers | Divide integers | Complete multiplication and division equations with integers

⭐ 59 Skills
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Logic and reasoning

Find two numbers based on sum and difference | Use Venn diagrams to solve problems | Truth values | Conditionals | Converses, inverses and contrapositives

⭐ 52 Skills
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Measurement

Holds more or less | Tall and short | Compare metric units of mass | Compare metric units of volume | Greatest possible error

⭐ 100 Skills
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Mixed operations

Addition and subtraction word problems - numbers up to 20 | Fact families | Add, subtract and multiply | Add, subtract and multiply decimals: word problems

⭐ 211 Skills
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Money and consumer maths

Equivalent amounts of money - up to $1 | Count coins and notes - up to $5 note | Compare money amounts | Find the number of each type of coin | Simple interest

⭐ 110 Skills
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Multiplication

Multiplication - 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

Divisibility rules | Lowest common multiple | Identify factors | HCF and LCM: word problems | Classify numbers

⭐ 55 Skills
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Patterns

Make a pattern | Complete a geometric number pattern | Number patterns: word problems | Evaluate variable expressions for number sequences

⭐ 139 Skills
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Percents

Percents of numbers and money amounts | Percents of numbers: word problems | Estimate percents of numbers | Solve percent equations | Percent error

⭐ 76 Skills
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Place values

Value of a digit - up to hundreds | Identify a digit up to the hundreds place | Place value names: up to ten thousands | Convert between place values: 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

Identify equivalent ratios | Unit rates and equivalent rates | Compare ratios: word problems | Solve proportions | Scale drawings: word problems

⭐ 73 Skills
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Subtraction

Subtract with pictures - numbers up to 10 | Subtract two-digit numbers - without regrouping | Related subtraction facts | Complete the subtraction number sentence

⭐ 265 Skills
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Time

Times of everyday events | Time patterns | Convert time units | Time zones | Find start and end times: multi-step word problems

⭐ 77 Skills
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Trigonometry

Pythagoras' theorem: word problems | Inverses of trigonometric functions | Solve a right triangle | Law of Cosines | Trigonometric ratios in similar right triangles

⭐ 119 Skills
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Word problems

Addition word problems - sums up to 20 | Fractions of a group: word problems | Add and subtract money amounts: word problems | Multiply money: word problems

⭐ 306 Skills
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Place Values and Number Sense

Students will learn about place values, convert between different place values, and compare numbers up to millions. They will also practice rounding, recognizing even and odd numbers, and writing numbers in words.

Addition and Subtraction

This lesson will teach students how to add and subtract whole numbers and solve word problems. Topics also include properties of addition and subtraction and estimating sums and differences.

Multiplication

In this lesson, students will learn multiplication facts and strategies. Topics include multiplying one-digit numbers by multi-digit numbers, using area models and partial products, and solving multiplication word problems.

Division

Students will learn division facts and strategies, including division by one-digit numbers and solving word problems. Topics also cover division patterns and interpreting remainders.

Number Theory

This lesson introduces the concepts of factors, prime and composite numbers, divisibility rules, and finding the highest and lowest common factors and multiples.

Decimals

Students will learn how to represent decimal numbers, convert between decimals and fractions, compare decimal numbers using models, and round decimals.

Add and Subtract Decimals

In this lesson, students will practice adding and subtracting decimal numbers, solve word problems, and estimate decimal sums and differences.

Multiply and Divide Decimals

Students will explore how to multiply and divide decimals, estimate products, and solve word problems related to decimal multiplication and division.

Problem Solving

In this section, students will apply mathematical concepts to solve multi-step word problems, including problems with extra or missing information, using tools like Venn diagrams.

Coordinate Plane

This lesson introduces the coordinate plane, helping students graph points, understand coordinates, and use the plane as a map to follow directions and solve problems.

Data and Graphs

Students will interpret and create various types of graphs such as line, bar, picture, and dot plots. They will also work with frequency charts and solve problems based on these graphs.

Probability and Statistics

In this lesson, students will learn about probability, how to calculate the likelihood of events, and analyze independent and dependent events. They will also explore combinations and find the mode.

Time

Students will practice converting time units, adding and subtracting mixed time units, and solving word problems related to elapsed time. They will also learn about time zones and schedules.

Units of Measurement

In this lesson, students will learn to choose the appropriate metric units of measure, compare units of length, mass, and volume, and determine reasonable temperature measurements.

Two-Dimensional Figures

This lesson focuses on recognizing polygons, counting sides, understanding regular and irregular polygons, and measuring different types of angles. Students will learn to work with protractors and estimate angle measurements.

Symmetry and Transformations

Students will explore lines of symmetry, rotational symmetry, and transformations such as reflection, rotation, and translation. They will also work on dilations and how these transformations affect shapes.

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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