# 为学习数学的基础增添乐趣！

SMILE新加坡”设计有目的的学习流程、顺序和结构，以建立坚实的基础和熟练程度。与新加坡教育部数学课程保持一致。

8级学习计划，满足您孩子的学习需求。请查看下面每个级别所涵盖的完整主题。

N

N

N

N

N

N

N

4个与各种数学课程相适应的课程

## 提供教学大纲

##### 查看主题
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

Time
Telling time to the Hour and Half Hour

Length
Learning measurement with objects

##### 查看主题

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.

##### 查看主题

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

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.

##### 查看主题

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.

##### View topic

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.

##### View topic

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.

##### 查看主题

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.

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.

##### 查看主题

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.

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.