# 为学习数学的基础增添乐趣！

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。

### 我们的数学课程视频

## 动力课程

#### 成功的典范

#### 为未来做好准备

#### 有趣又生动

#### 完善的课程

#### 高效

#### 信赖

#### 全球覆盖

## 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**

Reading data from Picture Graphs

**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**

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.

##### 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.

**中学一年级**

##### 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.

**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.

**中学二年级**

##### 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.

**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.

## 更有效地使用SMILE

##### 看

按顺序观看课程视频。多次观看课程视频，以便更好地理解。

##### 学

我们的课程视频提供概念学习、复习和实践。试着写作业来测试您学到了什么。

##### 测试

通过尝试测验来测试您的知识。每个测验可以进行多次，以便更好地练习。

##### 重复

按照“看-学-测试”的程序，不断加强您的数学基础。

## 家长指南

**学习过程**

您的孩子应该选择一个学习主题，并按照规定的顺序观看视频。一定要尝试每个专题系列的作业和测验，以测试他们对所学概念的理解和应用。

**学习进度**鼓励孩子每周至少观察、学习和练习一到两个主题概念。他们可以根据自己的学习进度进行调整。

**确保理解**如果您的孩子在任何阶段都不清楚某些概念，不要继续进行后续的视频。他们可以重新访问以前的视频，直到完全理解这些概念。

**支持倾向**让我们支持并参与孩子的学习过程。通过各种动画主题进行互动。创造有趣的例子或故事，巩固他们的学习，一起享受乐趣。

**增加性能**使用我们的追踪资源，以促进您的孩子的进步。您可以通过作业和测验结果追踪他们所观察和学习的内容，了解他们的熟练程度时，您可以温和地指导他们的学习。