# Adding Fun to the FUNdamentals

of Learning Math!

SMILE Singapore is designed with a purposeful flow, sequence and structure of learning, to build strong foundations and proficiency. Aligned to Singapore MOE Maths curriculum.

8 levels of learning programmes, catered to your child’s learning needs. Check out the full topics covered in each level below.

### Our Maths Programme Video

## Power-packed programmes

#### Model for Success

Uses world renowned Singapore Maths methods

#### Future Ready

Animation activates important 21st century skills like Critical Thinking, Creativity, Communication & Collaboration.

#### Fun & Exciting

Digitally animated lessons to Boost concept understanding & application

#### Comprehensive

Close to 100 lesson videos per grade

#### Effective

Online quizzes and downloadable worksheets to reinforce knowledge

#### Trusted

Developed by professionally trained & experienced teachers and tutors

#### Global Coverage

4 programmes aligned to various Maths curriculums

## Syllabus Available

Start here for a strong base – kick start your child’s knowledge base, with innovative Singapore Math models. Learn to add and subtract using techniques like Making Tens and using Number Bonds, and more. Learn through stories on the order of numbers and their place values. Learn concepts of time, money and length through simple yet effective animation.

##### VIEW TOPICS

**Whole Numbers**

Place Values, Counting in Groups of Ten, Number Patterns, Addition, Subtraction, Multiplication and Division, Grouping, Ordinal numbers, Comparison “More, Less, Fewer”.

**Money**

Counting in Cents up to $1 and Dollars up to $100.

**Shapes**

2-D Shapes

**Statistics**

Reading data from Picture Graphs

**Time**

Telling time to the Hour and Half Hour

**Length**

Learning measurement with objects

Primary 2

Build on the foundations of Primary One through more stories and journeys with our animated friends. Learn about Numbers and their operations especially multiplication and division. Get an early introduction to the idea of fractions. Learn how to tell the time.

##### VIEW TOPICS

**Whole Numbers**

Place values, Compare and Order in Number Patterns, Odd and Even Numbers, Addition / Subtraction / Multiplication / Division (four operations), Multiplication/Division by 2, 3, 4, 5 and 10.

**Fractions**

Be introduced to the idea of Fractions, learn what is a Unit Fraction, Addition / Subtraction of Like Fractions.

**Length**

Measure in Centimetres and Metres.

**Mass**

Introducing and measuring in Kilograms and Grams.

**Money**

Money – Learn and practise Conversion of Dollars and Cents.

**Shapes**

Identify Semi-circle, Quarter Circle, Cubes, Cuboids, Cones, Cylinders, Spheres.

**Statistics**

Read data from Picture Graphs with Scales.

**Time**

Tell time to 5 Minutes, in a.m. and p.m., calculate duration in Hours and Half-hour.

**Volume**

Learn and measure in Litres and Millilitres for liquid volume.

Primary 3

Strengthen your child’s foundation on Whole Numbers with the proper ways to multiply and divide large numbers. Learn about Fractions and their relations to numbers, adding and subtracting simple fractions with step-by-step visual examples. Through visual examples of different units of measurement, dive deeper into concepts of Time, Mass and Volume. Your child will develop a deeper appreciation of their applications in different situations around us.

##### VIEW TOPICS

**Whole Numbers**

Place values, Compare and Order in Number Patterns, Odd and Even Numbers, Addition / Subtraction / Multiplication / Division (four operations), Multiplication / Division by 2, 3, 4, 5 and 10.

**Angles**

Identify different Types of Angles: Acute, Obtuse and Right.

**Area**

Learn about Area of Rectangle, Square, Triangle.

**Fractions**

Learn and practise on Equivalent Fractions, express in Simplest Form, Compare and Order fractions, Addition / Subtraction of Related Fractions.

**Length**

Centimetres (cm), Metres (m) and Kilometres (km), Conversion between units.

**Lines**

Learn Parallel and Perpendicular lines.

**Mass**

Practise conversion between Grams and Kilograms for mass.

**Money**

Addition / Subtraction in decimal notation.

**Perimeter**

Learn about Perimeter of Rectangles and Squares.

**Statistics**

Read data from Bar Graphs.

**Time**

Tell time with “Past” and “To”, conversion of Hours to Minutes and vice-versa, calculating Start Time, End Time and Duration.

**Volume**

Convert between Millilitres and Litres for volume.

Primary 4

Welcome to word problems! Your child sees how to identify word problems and navigate tricky problem sums. We will share useful heuristics problem-solving concepts like Working Backwards, Constant Difference and more. Strengthen foundation through practices and examples on Fractions, as well as breeze through concepts on Area, Angles, Decimals, Statistics and Time.

##### VIEW TOPICS

**Whole Numbers**

Compare and Order up to 100,000, an introduction to various concepts for Problem Solving and identifying Solutioning Concepts (Constant Difference, Constant Total, Constant Part, Working Backwards, Guess & Check, Total Changed, Excess-Shortage, Excess-Excess, Shortage-Shortage), Number Patterns, Factors (Common Factors, Simplifying Factors), Multiples (Common Multiples, Lowest Common Denominator), Rounding Off.

**Money**

Solving word problems involving money.

**Angles**

Learn about the different types of angles. Measuring, drawing a given size, Parallel and Perpendicular Lines, learn about Turns involving Cardinal Points.

**Area**

Find Dimensions of Rectangles and Squares, solve word problems on Area and Perimeter with Squares, Rectangles, Triangles and Composite Figures.

**Decimals**

Conversion of Fractions into Decimals, Rounding Off, more practice on Addition / Subtraction / Multiplication / Division (four operations).

**Fractions**

Identify and convert Mixed and Improper Fractions, Additions / Subtractions with Remainders, Addition / Subtraction with different Denominators, finding Remainder of a Whole.

**Symmetry**

Identify and determine Lines.

**Time**

Read in Digital and Analogue, 24-hour Format, learn concepts on and practise word sums on Duration, Start and Finish Times.

Primary 5

Build on knowledge learnt in Primary 4 and pick up new techniques on tables, model diagrams and more, to solve real life word problems. See and extend application into areas of Rate, Ratios and Percentage. Plenty of practice opportunities to break down problems into simpler components in Fractions. With this base knowledge gained, your child can level up to Primary Six confidently.

##### VIEW TOPICS

**Whole Numbers**

Practise questions on various concepts of solving word problems from Grade 4, solve word problems given two given relationships.

**Rate**

Read rates from Charts, work on problem sums involving Volume, Rate Inverse, Direct Proportion.

**Ratio**

Ratio between quantities expressing ratio in simplest form, leverage on problem-solving concepts learnt previously to solve word problems between two ratios e.g., Constant Parts, Constant Total, Constant Difference, Total Changed.

**Percentage**

Learn Discount, Cost Price, Selling Price, Principal Amount and Interest.

**Fractions**

Pick up problem-solving concepts on Making Equal, Order and Comparison, Making Same for Numerators and Denominators, Subtraction with Remainder, Branch Drawing.

**Statistics**

Solving word problems involving average.

**Geometry**

Area and properties of a triangle, different types of triangles. Area of rectangles and squares. Special quadrilaterals (parallelograms and rhombuses). Properties of parallelogram and rhombuses.

**Volume**

Relationship between cubic centimetres and millilitres.

**Decimals**

Conversion of units when multiplying or dividing with 10, 100 or 1000.

Primary 6

We break down the daunting topic of Algebra into simple ideas. Shown through clear illustrations, complex concepts or workings on forming and expressing algebraic terms will no longer be stumbling blocks to your child’s learning path. Using powerful visual cues for learning, he will breeze through topics like Speed and Ratio in no time.

##### VIEW TOPICS

**Algebra**

Learn Algebraic Expressions with concepts on Simplifying, Forming, Manipulation and Substituting Values, plus revision practices on solving word problems.

**Area / Volume**

Find Lengths, Heights and Base Areas of a Cuboid, practise word sums with given volumes and base areas conditions.

**Circles**

Find Area, Circumference of a Circle, with revision on word problems.

**Fractions**

Practise word problems involving fractions.

**Percentage**

Practise problem solving on Percentage Increase, Decrease, Percentage Profit/Loss.

**Speed**

Study relationships between Speed and Time, Speed and Distance, Distance between 2 Points, practise understanding with problems on Time Taken, Overtaking, Difference between Average Speeds with the Distance-Speed-Time triangle, revision on word problems involving increasing and decreasing distance between 2 objects.

**Rate**

Practise word problems on Combined Rates and Inverse Rates.

**Ratio**

Strengthen concept foundations through problem sums using concepts like Constant Part, Constant Total, Constant Difference, Everything Changes and more.

**Whole Numbers**

Problem-solving using concepts like Constant Difference, Simultaneous Concept and Excess-shortage and more.

**Statistics**

Solving problems on pie charts.

**Money**

Solving word problems involving money.

**Geometry**

Net of geometric shapes. Finding unknown angles in composite geometric figures.

**Secondary 1**

Algebra and Geometry take front row seats at Secondary 1. Detailed, step-by-step explanations taking you through concepts of variables and unknowns in Algebra and Geometry. Pick up problem-solving skills through Factorisation and more to help your child overcome more algebraic problems.

##### VIEW TOPICS

**Algebra**

Algebra is one of the most commonly used tools and a very useful concept. Students can progress into more complex engineering by starting with a sold understanding of algebra right here!

**Geometry**

With so many shapes around us, Geometry gives us the ability to comprehend the measurements and relationships of lines, angles, surfaces and solids found in the everyday world.

**Statistics & Numbers**

Statistics is crucial in making decisions based on data as well as predictions. It plays an important role in scientific discoveries too.

**Introduction & Word Problems**

Introducing algebra to solve a problem. Operations with algebraic terms. Simplifying algebraic terms

**Triangles**

Learn the different types of triangles. Learn about the exterior angles of regular polygon (triangle).

**Prime Factorisation and Factors**

Finding squares and square roots by prime factorisation. Finding highest common factors (HCF) and Lowest common multiple (LCM).

**Functions & Graphs**

Learn about the Cartesian coordinate plane. Roots of an equation. Learn about straight line graphs.

**Quadrilaterals**

Learn what is a parallelogram and its properties. Learn what is an isosceles trapezium and its properties.

**Diagrams**

Types of diagrams; tables, bar graphs, pictograms, line graphs and pie charts.

**Equations & Inequalities**

Changing the subject of an equation. Solving an equation with one unknown. Algebraic factorisation. Solving inequalities.

**Construction & Symmetry**

Learn what is a point, line, ray and plane. Constructing angle bisectors and other basic angles. Learn what are lines of symmetry.

**Data Representation**

Purposes and uses, advantages and disadvantages of the different forms of statistical representations. Explaining why a given statistical diagram leads to misinterpretation of data.

**Secondary 2**

Using pictorial methods and graphical illustrations increase your child’s understanding of Algebra by two-fold. Through animated representation of angles and its properties, your child develops a deep sense of imagery, which is useful when dealing with properties of a circle, modelling and scale drawings.

##### VIEW TOPICS

**Algebra**

Algebra is one of the most commonly used tools and a very useful concept. Students can progress into more complex engineering by starting with a sold understanding of algebra right here!

**Geometry**

With so many shapes around us, Geometry gives us the ability to comprehend the measurements and relationships of lines, angles, surfaces and solids found in the everyday world.

**Statistics & Numbers**

Statistics is crucial in making decisions based on data as well as predictions. It plays an important role in scientific discoveries too.

**Common algebraic expressions**

Different algebraic identities: square of sums, square of differences, difference of squares.

**Triangles**

Similar triangles VS congruent triangles. Proof for similarity and congruency. Volume and surface area of pyramids.

**Maps & Scales**

Standard form. Learn about maps and directions. Practice scale drawings.

**Simultaneous Equations**

What are functions. Solving simultaneous equations using Substitution/Elimination/Graphical method.

**Trigonometry**

Pythagoras theorem. Learn sine, cosine and tangent. Use of trigonometric ratios. Heron’s formula.

**Probability**

What is probability and practice questions. Probability of single events.

**Quadratic Equations**

Roots of a quadratic function. Solving for the roots. Completing the square.

**Circles**

What is a Radian. Properties of a circle. Surface area and volume of a sphere and cones.

**Data Interpretation**

Types of diagrams; histograms, stem and leaf diagrams. Uses of the Mean median and mode and how to calculate them.

## Use SMILE more effectively

##### WATCH

Watch the Lesson Videos in sequence. View Lesson Videos multiple times for better understanding.

##### LEARN

Our Lesson Videos provide Concept Learning, Revision and Practice. Try out worksheets to test what you’ve learned

##### TEST

Test knowledge by attempting the quizzes. Each quiz can be done multiple times for better practice.

##### REPEAT

Follow the WATCH LEARN TEST process for subsequent topics and lessons to continuously strengthen Maths foundation

## Guide to Parents

**Learning Process**

Your child should select a topic for learning and watch the videos in the prescribed sequence. Do attempt the worksheets and quizzes with each topical series to test their understanding and application of the concepts learned.

**Pace of Learning**Encourage your child to watch, learn and practice at least one to two concepts of a topic each week. They can adjust according to their pace of learning.

**Ensure Understanding**If your child is unclear of certain concepts at any stage, it’s okay not to proceed with subsequent videos. They can re-visit earlier videos until they fully understand the concepts.

**Support Their Learning**Let’s support and participate in your child’s learning process. Interact through the various animation themes. Create fun examples or stories to solidify their learning and have fun together.

**Maximise Performance**Maximise the performance tracking resources to facilitate your child’s progress. When you can track what they’ve watched and learned, and know their proficiency through worksheet and quiz results, you can gently direct their learning.