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our web solutions. Developed by math educators and experts, our curriculum
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It not only prepares your child for school, but also for the
world outside the classroom. 



The development of our networked curriculum begins with a
careful analysis of the foundational knowledge required for
each topic. In scrutinizing each topic's material, we are
able to identify its prerequisite topics the building blocks
a child must complete before approaching this topic.
For
example, before a child learns basic multiplication, he or
she needs to have a good foundation in numbers and addition.
These will help him or her grasp the underlying concept of multiplication,
which is grouping objects together. Then, after a student
gains proficiency in basic multiplication, it becomes a foundation
block for other topics that require understanding of basic
multiplication, such as division (where groups are broken
down) and block graphs (where groups of numbers are represented
pictorially).





Numbers to 10 

Counting, Reading, and Writing 

Counting on and Counting back 

Even and Odd Numbers 

Comparing 2 Groups of Objects with 1to1 Correspondence 

Composition of Numbers 110 

Numbers to 20 

Counting, Reading, and Writing 

Ordinal Numbers and Cardinal Numbers 

Composition of Numbers 1118 

Basic Addition and
Substraction 

Concept of Addition and Subtraction 

Record Addition and Subtraction within 18 Horizontally 

Understand Concept of Zero through Subtraction 

Relationship between Addition and Subtraction 

Commutative Property of Addition through Concrete
Examples 

Numbers to 100 

Counting, Reading, and Writing 

Recognition of the Units and Tens Places 

Count in Groups of Two, Five, and Ten 

Composition of Numbers 1 to 100 

Addition and Substraction
I 

Addition within 2 Places, Including
Carrying 

Column Form of Calculation 

Addition of Three Numbers 

Subtraction within 2 Places, Excluding Decomposition 

Solve Simple Problems 

Estimate the Answers 

Length and Distance
I 

Length and Distance 

Compare Lengths of Objects and Distances between
Objects Directly 

Compare Lengths of Objects and Distances between
Objects with Improvised Units 

Measure with Appropriate Improvised Units 

Money I 

Identify the Coins of Money 

Read Price Tags 

Practice Using Coins through Activities 

Solve Simple Problems 

Length and Distance
II 

Understand the Need for Using Standard
Unit 

Introduce Centimeter (cm) 

Measure and Compare Lengths of Objects and Distances
Between Objects with cm 

Estimate the Lengths of Objects with "EverReady
Rulers" 

Measure with Appropriate Tools 

Time I 

Introduce "Hour" 

Tell Time in Terms of O'clock 

Introduce Days of a Week 

Recognize there are 12 Months in a Year 

Read out Dates and Days from a Calendar 

3D Shapes I 

Compare the Attributes of 3D Objects 

Recognize 3D Shapes Intuitively 

Group 3D Shapes into Prisms, Pyramids, and
Spheres 

Straight Lines and
Curves 

Recognize Straight Lines and Curves 

Identify Straight Lines and Curves Intuitively 

Make Straight Lines and Curves in a Variety
of Ways 

2D Shapes 

Identify Triangles, Quadrilaterals,
Pentagons, Hexagons, and Circles 

Identify 2D Shapes Intuitively 

Identify Squares and Rectangles Intuitively 

Make 2D Shapes in a Variety of Ways 







3Digit Numbers 

Counting, Reading, and Writing 

Recognize Place Value "Hundreds" 

Count in Groups of Fifty or Hundred 

Estimate the Quantity of Objects 

Addition and Substraction
II 

Perform Addition within 3 Places,
incl. Carrying, and Addition of 3 Numbers 

Subtraction within 2 Places, Including Decomposition 

Solve Simple Problems 

Estimate the Answers 

Basic Multiplication 

Develop Concept of Multiplication 

Construct the Multiplication Tables (110) 

Perform Basic Multiplication 

Commutative Property of Multiplication through
Concrete Examples 

Solve Simple Problems 

4Digit Numbers 

Counting, Reading, and Writing 

Recognize the Place Value "Thousands" 

Count in Groups of Five Hundred and Thousand 

Addition and Substraction
III 

Subtraction within 3 Places, Including
Decomposition 

Associative Property of Addition through Concrete
Examples 

Mixed Operations of Addition and Subtraction
(at most 2 operations) 

Solve Simple Problems 

Estimate the Answers 

Basic Division 

Develop Concept of Division 

Sums for Division, Including Sums with Remainders 

Relationship between Multiplication and Division 

Length and Distance 

Length and Distance
III 

Understand the Need for Using a
Larger Unit for Measuring 

Introduce "Meter" (m) 

Measure and Compare Lengths of Objects and Distances
Between Objects with m 

Measure with Appropriate Measuring Tools 

Record the Lengths of Objects with Appropriate
Measuring Units 

Estimate the Lengths of Objects with "EverReady
Rulers" 

Time II 

Introduce "Minute" 

Tell Time in Terms of O'clock and Minutes 

Measure the Duration of Time Spent on Different
Activities Using "Hours" and "Minutes" 

Report the Duration of Time Spent on Different
Activities Using "Hours" and "Minutes" 

Recognize that there are 24 Hours in a Day 

Develop the Concept of "Morning" and "Afternoon" 

Tell Time in Terms of "Morning," "Afternoon,"
"Noon" and "Midnight" 

Recognize the Number of Days in Each Month 

Recognize the Number of Days in a Year and Leap
Year 

Money II 

Identify Notes and Coins 

Read Price Tags 

Exchange Current Notes and Coins 

Solve Simple ProblemsAddition and Subtraction
of Money 

Weight 

Develop the Concept of Weight 

Compare the Weights of Objects Directly 

Measure and Compare the Weights of Objects Using
Improvised Units 

Understand the Need for Using Standard Units 

Measure and Compare the Weights of Objects Using
"Gram" and "Kilogram" 

Choose the Appropriate Tools for Measuring 

Record the Weights of Objects with Suitable
Units 

3D Shapes II 

Identify Prisms and Cylinders Intuitively 

Identify Pyramids and Cones 

Recognize Faces Intuitively 

Group 3D Shapes 

Make 3D Shapes 

Angles I 

Introduce Angles 

Introduce Right Angles 

Compare the Sizes of Angles 

Make Angles in a Variety of Ways 

The Four Compass Points


Recognize the Four Directions:
North, East, South and West 

Use a Compass to Measure Directions 

Quadrilaterals I 

Develop the Concept of Quadrilaterals 

Recognize and Identify Quadrilaterals 

Construct Quadrilaterals in a Variety of Ways 

Pictograms I 

Compare Quantity of 3 or More Types
of Objects by Arranging them in Lines 

Read and Discuss Simple Pictograms 

Construct Pictograms, Using a OnetoOne Representation 







5Digit Numbers 

Counting, Reading, and Writing 

Recognize the Place Value "Ten Thousands" 

Solve Simple Problems 

Addition and Substraction
IV 

Perform Addition and Subtraction
Within Four Places 

Apply the Commutative and Associative Properties
of Addition in Computation 

Solve Simple Problems 

Estimate the Answers 

Multiplication I 

Perform Multiplication with Multiplier
1 Digit and Multiplicand 2 Digits 

Perform Multiplication with Multiplier 1 Digit
and Multiplicand 3 Digits 

Solve Problems 

Estimate the Answers 

Division I 

Perform Basic Division by Short
Division 

Perform Division with Divisor 1 Digit and Dividend
2 Digits 

Perform Division with Divisor 1 Digit and Dividend
3 Digits 

Solve Problems 

Estimate the Answers 

Mixed Operations I 

Recognize and Use Parentheses in
Mixed Operations 

Perform Mixed Operations of: 1) Multiplication
and Addition; 2) Multiplication and Subtraction
(For Sums Involving at Most 2 Operations) 

Solve Problems Involving Addition and Subtraction,
Multiplication and Addition, and Multiplication
and Subtraction 

Estimate the Answers 

Fractions I 

Develop the Concept of Fractions
as Part of One Whole and a Part of a Set of Objects 

Recognize the Relationship between Fractions
and 1 

Compare Fractions with Same Denominator or Numerator 

Solve Simple Word Problems 

Length and Distance
IV 

Understand the Need for Using a
Unit Greater than "Meter" for Measurement 

Introduce "Kilometer" 

Compare Lengths of Objects and Distances between
Objects Using "Kilometer" 

Understand the Necessity of Using a Unit Smaller
than "Centimeter" for Measurement 

Introduce "Millimeter" 

Compare Lengths of Objects and Distances between
Objects Using "Millimeter" 

Choose the Appropriate Tools for Measuring 

Record Lengths of Objects and Distances Between
Objects with Appropriate Units 

Solve Simple Problems 

Time III 

Introduce "Second" 

Tell Time 

Record the Duration of Time for Different Activities
Using "Second" 

Record the Duration of Time for Different Activities
Using "Hour and Minute" or "Minute and Second" 

Capacity 

Develop the Concept of Capacity 

Compare the Capacity of Containers Directly 

Measure and Compare the Capacity of Containers
Using Improvised Units 

Understand the Need for Using Standard Units 

Measure and Compare the Capacity of Containers
Using "Liter" and "Milliliter" 

Measure with Appropriate Tools 

Record the Capacity of Containers with Appropriate
Units 

Time IV 

Introduce the "24Hour Time" 

Tell Time from 24Hour Clocks 

Recognize the Use of "24Hour Time" in Daily
Life Situations 

Parallel and Perpendicular
Lines 

Recognize Parallel Lines 

Make Parallel Lines in a Variety of Ways 

Recognize Perpendicular Lines 

Make Perpendicular Lines in a Variety of Ways 

Quadrilaterals II 

Develop an Understanding of the
Characteristics of Squares and Rectangles 

Develop an Understanding of the Characteristics
of Parallelograms 

Compare the Characteristics of Squares, Rectangles,
and Parallelograms 

Angles II 

Recognize Acute Angles and Obtuse
Angles 

Compare the Sizes of Angles 

Triangles 

Recognize the Simple Characteristics
of Triangles 

Recognize Some Special Triangles, such as RightAngled
Triangles, Isosceles Triangles, Equilateral Triangles
and Scalene Triangles 

Make Triangles 

Block Graphs 

Read and Discuss Block Graphs 

Construct Block Graphs: 1) Collect Data and
Construct Freq. Tables; 2) Construct Graphs Using
a OnetoOne Representation; 3) Discuss the Block
Graphs Constructed 

Estimate the Average from Block Graphs 

Bar Charts I 

Read and Discuss Simple Bar Charts,
and Introduce the Vertical and Horizontal Axes 

Construct Simple Bar Charts: 1) Use 1to1 Representation;
2) Use 2to2, 1to5, or 1to10 Representation;
3) Discuss the Bar Charts Constructed 

Estimate the Average from Bar Charts 







Multiplication II 

Discover the Associative Property
of Multiplication through Concrete Examples e.g.,
(3x2) x 5 = 3 x (2x5) 

Apply the Commutative and Associative Properties
of Multiplication in Computation e.g., 2x8x5 =
(2x5) x 8 

Perform Multiplication with Multiplier 2 Digits
and Multiplicand 2 Digits 

Perform Multiplication with Multiplier 2 Digits
and Multiplicand 3 Digits 

Solve Problems 

Estimate the Answers 

Division II 

Perform Division with Divisor 2
Digits and Dividend 2 Digits 

Perform Division with Divisor 2 Digits and Dividend
3 Digits 

Recognize Divisibility, Divisibility Tests for
2, 5 and 10 

Solve Problems 

Estimate the Answers 

Calculators 

Be Familiar with Modern Calculating
Devices 

Recognize the Basic Operations and Functions
of a Calculator 

Use Calculators to Carry Out Activities to Foster
Pupil's Number Sense 

Multiples and Factors


Develop an Understanding of Multiples 

Develop an Understanding of Factors 

Find Out All the Factors of a Number 

Explore the Relationship between Factors and
Multiples 

Introduce Prime and Composite Numbers 

Common Multiples and
Common Factors 

Develop an Understanding of Common
Multiples 

List the Multiples of Two Numbers, Hence Find
the Common Multiples and the Least Common Multiple
of the Two Numbers 

Develop an Understanding of Common Factors 

List the Factors of Two Numbers, Hence Find
the Common Factors and the Highest Common Factor
of the Two Numbers 

Find the Highest Common Factors of Two Numbers
by Short Division 

Mixed Operations II 

Perform Mixed Operations of: 1)
Division and Addition; 2) Division and Subtraction;
3) Division and Multiplication (For Sums Involving
at Most 2 Operations) 

Perform Mixed Operations for Sums involving
at most Four Steps 

Introduce the Distributive Property of Multiplication


Solve Problems involving Mixed Operations 

Estimate the Answers 

Fractions II 

Develop the Concept of Proper Fractions,
Improper Fractions and Mixed Numbers 

Reduce Fractions to their Simplest Form 

Explore the Methods for Converting Equivalent
Fractions 

Find Common Denominators to Compare Fractions 

Add and Subtract Fractions with the Same Denominators
and Reduce the Answers to the Simplest Form 

Decimals I 

Recognize Decimals as Another Way
of Recording Fractions 

Develop the Concept of Place Value in Decimals 

Recognize the Use of Decimals in Daily Life
Situations 

Perform the Addition and Subtraction of Decimals
up to Two Places of Decimals and for Sums Involving
at most Three Operations 

Solve Problems involving Money, Length, and
Distance 

Estimate the Answers 

Perimeter I 

Develop the Concept of Perimeter 

Measure the Perimeter of 2D Shapes 

Find the Perimeter of Squares and Rectangles 

Find the Perimeter of Simple 2D Shapes 

Area I 

Develop the Concept of Area 

Direct Comparison of the Area of Surfaces 

Compare the Area of Surfaces Using Improvised
Units 

Introduce the Standard Units Square Centimeter
and Square Meter 

Measure the Area of 2D Shapes Using Square
Centimeters and Square Meters 

Understand and Apply the Formulas for Calculating
the Area of Squares and Rectangles 

Quadrilaterals III 

Develop an Understanding of the
Characteristics of Trapezoids and Rhombuses 

Compare the Characteristics of Different Types
of Quadrilaterals 

Find the Perimeter of Simple 2D Shapes 

Fitting and Dissecting
Shapes 

Make shapes by Fitting 2D Shapes
Together 

Dissect Polygons and Identify the Shapes Dissected 

Simple Symmetry 

Develop an Understanding of Symmetrical
Shapes, and Find the Line(s) of Symmetry 

Make Symmetrical Shapes 

Pictograms II 

Read and Discuss Pictograms 

Construct Pictograms of Greater Frequency Counts:
1) Organize and Classify Data Appropriately; 2)
Round Off Data to the Nearest Unit; 3) Construct
Pictograms, Using a OnetoTen or a OnetoHundred
Representation 

Discuss the Pictograms Constructed 







Large and Negative
Numbers 

Counting, Reading, and Writing 

Rounding off Large Numbers Using Examples from
Everyday Life 

Introduce Terms Natural Number and Integer 

Introduce Negative Numbers and Compare with
Other Numbers 

Estimation of Large Quantities 

Fractions III 

Multiply Fractions through Repeated
Addition 

Division of Fractions through Dissection of
Shapes 

Solve Problems 

Estimate the Answers 

Decimals II 

Develop an Understanding of Multiplication
of Decimals, Multipliers Include Whole Numbers
Only 

Develop an Understanding of Division of Decimals,
Including a Decimal Divided by a Whole Number
and a Whole Number Divided by a Whole Number 

Find the Approximate Values by Rounding off
the Answers 

Perform Mixed Operations on Decimals for Sums
Involving at Most Three Operations 

Solve Problems involving Money, Length, and
Distance 

Estimate the Answers 

Fractions IV 

Perform Multiplication of Fractions,
for Sums Involving at Most Two Operations 

Solve Problems 

Estimate the Answers 

Decimals III 

Convert Decimals into Fractions 

Convert Fractions into Decimals, Rounding off
the Answers to the Nearest Tenths or Hundredths 

Compare Fractions by Converting Them into Decimals 

Solve Problems 

Estimate the Answers 

Percentages I 

Recognize the Use of Percentages
in Daily Life 

Length and Distance 

Convert Percentages into Decimals and Vice Versa 

Convert Percentages into Fractions and Vice
Versa 

Area II 

Understand and Apply the Formulas
for Calculating the Area of Parallelograms, Triangles
and Trapezoids 

Find the Area of Polygons 

Temperature 

Develop the Concept of Temperature 

Introduce "Celsius" and "Fahrenheit" 

Read Temperature using Appropriate Tools 

Use Temperature in RealLife Examples 

Convert between Celsius and Fahrenheit 

Solve Problems 

Estimate the Answers 

Volume I 

Develop the Concept of Volume 

Compare the Volume of Objects Intuitively 

Introduce the Standard Unit "Cubic Centimeter" 

Measure and Compare the Volume of Objects Using
"Cubic Centimeter" 

Understand the Need for Using a Unit Larger
than "Cubic Centimeter" 

Introduce "Cubic Meter" 

Understand and Apply the Formulas for Finding
the Volume of Cubes and Cuboids 

Other Counting Systems


Introduce the British System: Distance,
Capacity, Weight 

Measure Objects using British Units and Compare
them Intuitively 

Introduce, Convert, and Use Roman Numerals 

Solve Problems 

Estimate the Answers 

The Eight Compass Points 

Recognize the Eight Compass Points 

Find Directions with a Compass 

3D Shapes III 

Recognize the Characteristics of
Cones, Pyramids, Cylinders, Prisms and Spheres 

Make Nets of Cubes and Cuboids 

Angles III 

Introduce "degree" 

Identify proper angles (30, 45, 60, 90, 180,
360) 

Identify and measure angles in 2D shapes 

Measure angles using appropriate tools 

Solve Problems 

Estimate the Answers 

Bar Charts II 

Read and Discuss Bar Charts 

Identify proper angles (30, 45, 60, 90, 180,
360) 

Read and Discuss Compound Bar Charts 

Construct Compound Bar Charts and Discuss the
Bar Charts Constructed 

Simple Statistics 

Introduce Quartile Regions, Average,
Range, Mean, Median, and Mode 

Solve Simple Problems 

Estimate the Answers 

Bar Charts III 

Read and Discuss Bar Charts of
Large Frequency Amounts 

Construct Bar Charts: 1) Using a 1to10,000
or a 1to100,000 Representation 

Estimate the Average from Bar Graphs 

Elementary Algebra 

Use Symbols or Letters to Represent
Numbers 

Record with Algebraic Symbols (e.g., John is
x years old now, how old will he be after 10 years?
Record as: (x+10) Years Old 

Simple Equations I


Understand the Concept of Equations 

Solve Simple Equations Involving One Step in
the Solutions, and Check the Answers (Involving
Whole Numbers Only) 

Rewrite Equations into Equivalent or Simplified
Expressions 

Solve Problems by Simple Equations, Involving
at Most One Step in the Solutions 







FractionsV 

Perform Division of Fractions for
Sums Involving at Most Two Operations 

Solve Simple Problems, Excluding Problems on
Finding the Original Numbers 

Estimate the Answers 

Decimals IV 

Multiply Decimals by Decimals 

Divide Decimals by Decimals 

Introduce Recurring Decimals 

Solve Problems 

Estimate the Answers 

Percentages II 

Solve Simple Problems on Percentages,
Including: 1) Find Percentages; 2) Express the
Value of a Percentage of a Quantity; 3) Discount 

Estimate the Answers 

Volume II 

Recognize the Relationship between
Capacity and Volume 

Find the Volume of Irregular Solids by Displacement
of Water 

Perimeter II 

Develop an Understanding of Circumference 

Explore the Relationship between the Circumference,
the Diameter and the Radius 

Develop an Understanding of pi 

Apply the Formula for Circumference 

Speed 

Develop the Concept of Speed 

Measure Speed Using "Meters per Second" and
"Kilometers per Second" as Units 

Read Travel Graphs 

Area III 

Understand and Apply the Formula
for Calculating the Area of a Circle 

Relationship between Circumference and Area
of a Circle 

Length and Distance 

Symmetry II 

Introduce Transformations (Scale,
Translation, Reflection, Rotation) 

Introduce Congruence and Similarity 

Perform Transformations Showing that Two Shapes
are Congruent or Similar 

Identify the Line of Rotational Symmetry in
3D Figures 

Solve Problems 

3D Shapes IV 

Recognize the Vertices, Edges and
Faces of 3D Shapes 

Make Frameworks of Prisms and Pyramids 

Explore the Relationship between the Number
of Edges and the Number of Sides of the Bases
of Prisms and Pyramids 

Explore the Relationship between the Number
of Vertices and the Number of Sides of the Bases
of Prisms and Pyramids 

Explore and Design Nets of Prisms 

Make Pyramids and Prisms 

Recognize the Different Sections of Prisms,
Pyramids and Spheres 

Circles 

Develop an Understanding of the
Properties of Circles, Center, Radius, Diameter
and Circumference 

Draw Circles in a Variety of Ways 

Broken Line Graphs 

Read and Discuss Broken Line Graphs 

Construct Broken Line Graphs 

Simple Probability 

Acquire an Elementary Understanding
of Probability 

Justify Conclusions involving "and/or" Situations 

Describe the Probability of Events Happening
Using the Following Phrases: 1) Likely / Probable;
2) Unlikely / Not Probable; 3) Fairly Likely;
4) Very Probable; 5) Certain 

Ratio and Proportion


Introduce Inverse and Direct Proportions 

Introduce Ratios 

Solve Problems 

Estimate the Answers 

Simple Coordinate Geometry 

Introduce the Rectangular Coordinate
System 

Use the Coordinate Plane to Explore Geometric
Ideas 

Make and Use Coordinate Geometry to Specify
Locations and to Describe Paths 

Solve Problems 

Pie Charts 

Reading Pie Charts 

Making Pie Charts using Compass and Protractor 

Simple Equations II 

Solve Equations Involving at Most
Two Steps in the Solutions, and Examine the Results 

Solve Simple Problems By Equations, Involving
at Most Two Steps in the Solutions 







Curriculum
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