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Grade 5
Decimals
Relate Decimals and Fractions
Convert Fractions to Decimals
Convert Fractions with Denominators as Powers of 10 to Decimals
Grade 5
1.
Large Numbers
1.1.
Representation of Large Numbers
1.1.1.
Write Large Numbers by Separating the Periods
1.1.2.
Write Numerals as Number Names
1.1.3.
Write Number Names as Numerals
1.1.4.
Relation Between Different Periods
1.1.5.
Numbers in Expanded Form
1.2.
Successor and Predecessor
1.2.1.
Successor of a Number
1.2.2.
Predecessor of a Number
1.3.
Place of a Digit
1.4.
Compare Large Numbers
1.5.
n
Digit Numbers
1.6.
Operations on Large Numbers
1.6.1.
Addition of Large Numbers
1.6.2.
Subtraction of Large Numbers
1.6.3.
Multiplication of Large numbers
1.6.4.
Division of Large Numbers
1.6.5.
Word Problem on Operations on Large Numbers
1.6.5.1.
Word Problem on Addition of Large Numbers
1.6.5.2.
Word Problem on Subtraction of Large Numbers
1.6.5.3.
Word Problem on Multiplication of Large Numbers
1.6.5.4.
Word Problem on Division of Large Numbers
2.
Roman Numerals (up to 500)
2.1.
Introduction to Roman Numerals
2.2.
Write Roman Numerals for Natural Numbers
2.3.
Write Natural Numbers for Roman Numerals
2.4.
Meaningless Roman Numerals
2.5.
Compare Roman Numerals
2.6.
Operations on Roman Numerals
3.
Simplification
3.1.
Numerical Expressions Without Brackets (DMAS)
3.2.
Numerical Expressions With Brackets (BODMAS)
4.
Factors and Multiples
4.1.
Factors and Multiples of a Number
4.1.1.
Finding Factors of a Number
4.1.2.
Finding Multiples of a Number
4.1.3.
Word Problems on Factors and Multiples
4.1.4.
Properties of Factors and Multiples
4.1.5.
Types of Numbers
4.1.5.1.
Odd and Even Numbers
4.1.5.1.1.
Even numbers
4.1.5.1.2.
Odd numbers
4.1.5.1.3.
Properties of Odd and Even numbers
4.1.5.2.
Prime and Composite Numbers
4.1.5.2.1.
Definition
4.1.5.2.2.
Composite Numbers
4.1.5.2.3.
Prime Numbers
4.1.5.2.4.
Properties of Composite and Prime
4.1.5.3.
Twin Primes
4.1.5.4.
Co-Primes
4.2.
Tests of Divisibility
4.2.1.
Test Divisibility by 2
4.2.2.
Test Divisibility by 3
4.2.3.
Test Divisibility by 4
4.2.4.
Test Divisibility by 5
4.2.5.
Test Divisibility by 6
4.2.6.
Test Divisibility by 7
4.2.7.
Test Divisibility by 8
4.2.8.
Test Divisibility by 9
4.2.9.
Test Divisibility by 10
4.2.10.
Test Divisibility by 11
4.3.
Prime Factors of a Number
4.3.1.
By Hit and Trial Method
4.3.2.
By Factor Tree Method
4.3.3.
By Prime Factorization
4.4.
HCF and LCM
4.4.1.
HCF (Highest Common Factor)
4.4.2.
LCM (Lowest Common Multiple)
4.4.3.
Properties of LCM and HCF
4.4.4.
Word Problems on HCF and LCM
5.
Fractions
5.1.
Like and Unlike Fractions
5.2.
Unit Fraction
5.3.
Proper, Improper and Mixed Fractions
5.3.1.
Understand the Meaning of Proper, Improper and Mixed Fractions
5.3.2.
Convert Improper Fractions to Mixed Fractions
5.3.3.
Convert Mixed Fractions to Improper Fractions
5.4.
Equivalent Fractions
5.5.
Simplest Form of a Fraction
5.6.
Compare Fractions
5.6.1.
Compare Fractions with Like Denominators
5.6.2.
Compare Fractions with Like Numerators
5.6.3.
Compare Fractions with Unlike Denominators and Unlike Numerators
5.7.
Addition and Subtraction of Fractions
5.7.1.
Addition of Fractions
5.7.1.1.
Addition of Like Fractions
5.7.1.2.
Addition of Unlike Fractions
5.7.1.3.
Addition of Mixed Fractions
5.7.2.
Subtraction of Fractions
5.7.2.1.
Subtraction of Like Fractions
5.7.2.2.
Subtraction of Unlike Fractions
5.7.2.3.
Subtraction of Mixed Fractions
5.7.3.
Simplify Expressions Involving Addition and Subtraction
5.8.
Multiplication and Division of Fractions
5.8.1.
Multiplication of Fractions
5.8.1.1.
Multiplication of a Fraction by a Whole Number
5.8.1.2.
Multiplication of a Fraction by a Fraction
5.8.1.3.
Use of 'OF'
5.8.2.
Division of Fractions
5.8.2.1.
Multiplicative Inverse or Reciprocal of a Fraction
5.8.2.2.
Division of a Fraction by a Fraction
5.8.2.3.
Division of a Fraction by a Whole Number
5.8.2.4.
Division of a Whole Number by a Fraction
5.9.
Word Problems on Fractions
5.9.1.
Word Problems on Forming Fractions
5.9.2.
Word Problems on Addition and Subtraction of Fractions
5.9.3.
Word Problems on Multiplication of Fractions
5.9.4.
Word Problems on Division of Fractions
6.
Decimals
6.1.
Reading a Decimal Number
6.2.
Place Value Chart
6.3.
Pictorial Representation of a Decimal Number
6.4.
Expanded Form of Decimal Numbers
6.5.
Like and Unlike Decimals
6.6.
Comparing Decimals
6.7.
Ordering Decimals
6.8.
Relate Decimals and Fractions
6.8.1.
Convert Decimals to Fractions
6.8.1.1.
Convert Decimals to Proper Fractions
6.8.1.2.
Convert Decimals to Improper Fractions
6.8.1.3.
Convert Decimals to Mixed Fractions
6.8.2.
Convert Fractions to Decimals
6.8.2.1.
Convert Fractions with Denominators as Powers of 10 to Decimals
6.8.2.2.
Convert Any Fractions to Decimals
6.9.
Operations on Decimals
6.9.1.
Addition and Subtraction of Decimals
6.9.1.1.
Addition of Decimals
6.9.1.2.
Subtraction of Decimals
6.9.1.3.
Mixed Operations on Decimals: Addition and Subtraction
6.9.1.4.
Word problems on Addition and Subtraction of Decimals
6.10.
Multiplication and Division of Decimals
6.10.1.
Multiplication of Decimals
6.10.1.1.
Multiplying a Decimal by 10, 100, 1000 etc
6.10.1.2.
Multiplying a Decimal by a Whole Number
6.10.1.3.
Multiplication of Two/Three Decimals
6.10.1.4.
Word Problems on Multiplication of Decimals
6.10.2.
Division of Decimals
6.10.2.1.
Division of a Decimal by 10, 100, 1000 etc
6.10.2.2.
Division of a Decimal by a Multiple of 10, 100, 1000 etc
6.10.2.3.
Division of a Decimal by a Whole Number
6.10.2.4.
Division of a Decimal by a Decimal
6.10.2.5.
Division of a Whole Number by a Decimal
6.10.2.6.
Word Problems on Division of Decimals
7.
Rounding Numbers
7.1.
Rounding Off the Numbers
7.1.1.
Rounding Off to the Nearest Ten
7.1.2.
Rounding Off to the Nearest Hundred
7.1.3.
Rounding Off to the Nearest Thousand
7.1.4.
Rounding off to the Nearest Ten Thousand
7.1.5.
Rounding Off to the Nearest Hundred Thousand
7.1.6.
Rounding Off to the Nearest Million
7.2.
Rounding Off the Decimals
7.2.1.
Rounding Off to the Nearest One
7.2.2.
Rounding Off to the Nearest Tenth
7.2.3.
Rounding Off to the Nearest Hundredth
7.2.4.
Rounding Off to the Nearest Thousandth
7.3.
Estimating Sum
7.4.
Estimating Difference
7.5.
Estimating Products
8.
Measurement
8.1.
Measurement of Length
8.1.1.
Conversion of Metric Units of Length
8.1.1.1.
Conversion from Higher to Lower Units of Length
8.1.1.2.
Conversion from Lower to Higher Units of Length
8.1.2.
Addition and Subtraction of Lengths
8.1.2.1.
Addition of Lengths
8.1.2.2.
Subtraction of Lengths
8.1.3.
Multiplication and Division of Lengths Measure
8.1.3.1.
Multiplication of Lengths
8.1.3.2.
Division of Lengths
8.1.4.
Word Problems on Length
8.1.4.1.
Word Problems on Addition and Subtraction of Lengths
8.1.4.2.
Word Problems on Multiplication and Division of Lengths
8.2.
Measurement of Weight
8.2.1.
Conversion of Metric Units of Weight
8.2.1.1.
Conversion from Higher to Lower Units of Weight
8.2.1.2.
Conversion from Lower to Higher Units of Weight
8.2.2.
Addition and Subtraction of Weights
8.2.2.1.
Addition of Weights
8.2.2.2.
Subtraction of Weights
8.2.3.
Multiplication and Division of Weights
8.2.3.1.
Multiplication of Weights
8.2.3.2.
Division of Weights
8.2.4.
Word Problems on Weight
8.2.4.1.
Word Problems on Addition and Subtraction of Weights
8.2.4.2.
Word Problems on Multiplication and Division of Weights
8.3.
Measurement of Capacity
8.3.1.
Conversion of Metric Units of Capacity
8.3.1.1.
Conversion from Higher to Lower Units of Capacity
8.3.1.2.
Conversion from Lower to Higher Units of Capacity
8.3.2.
Addition and Subtraction of Capacity
8.3.2.1.
Addition of Capacity in Liters and Milliliters
8.3.2.2.
Subtraction of Capacity in Liters and Milliliters
8.3.3.
Multiplication and Division of Capacity
8.3.3.1.
Multiplication of Capacity
8.3.3.2.
Division of Capacity
8.3.4.
Word Problems on Capacity
8.3.4.1.
Word Problems on Addition and Subtraction of Capacity
8.3.4.2.
Word Problems on Multiplication and Division of Capacity
9.
Average
10.
Percentage
10.1.
Convert a Fraction into Percentage
10.2.
Convert a Percentage into Fraction
10.3.
Convert Decimal into Percentage
10.4.
Convert Percentage into Decimal
10.5.
Percentage of a Quantity
10.6.
Word Problems on Percentage
11.
Time
11.1.
24-Hour Clock Time
11.1.1.
Understanding 24-Hour Clock Time
11.1.2.
Conversion from 24-Hour Clock Time to 12-Hour Clock Time
11.1.3.
Conversion from 12-Hour Clock Time to 24-Hour Clock Time
11.2.
Use of 'AM' and 'PM'
11.3.
Relate Year, Month, Week, Days, Hours, Minutes, and Seconds
11.4.
Addition and Subtraction of Time
11.4.1.
Addition of Time
11.4.2.
Subtraction of Time
11.4.3.
Word Problems on Time
12.
Money
12.1.
Conversion of Money
12.2.
Addition and Subtraction of Money
12.2.1.
Addition of Money
12.2.2.
Subtraction of Money
12.3.
Multiplication and Division of Money
12.3.1.
Multiplication of Money by a Whole Number
12.3.2.
Division of Money by a Whole Number
12.4.
Word problems on Money
12.4.1.
Word Problems on Addition of Money
12.4.2.
Word Problems on Subtraction of Money
12.4.3.
Word Problems on Multiplication of Money
12.4.4.
Word Problems on Division of Money
12.4.5.
Word Problems on Money Involving a Mixed Operations on Money
13.
Geometry
13.1.
Understand the Basic Terms in Geometry (Point, Line, line segment, ray, and Plane)
13.2.
Angles
13.2.1.
Introduction to Angles
13.2.2.
Interior And Exterior Of An Angle
13.2.3.
Finding the Number of Angles in the Given Figure
13.2.4.
Types of an Angle
13.2.5.
Measuring an Angle by a Protractor
13.2.6.
Complementary and Supplementary Angles
13.3.
Types of Lines
13.3.1.
Parallel Lines
13.3.2.
Perpendicular Lines
13.3.3.
Intersecting Lines
13.3.4.
Identifying the Type of Line
13.4.
Set Squares
13.5.
Collinear and Non-Collinear Points
13.6.
Triangles
13.6.1.
Introduction to Triangles
13.6.2.
Various Types of Triangles by Considering the Lengths of their Sides
13.6.3.
Various Types of Triangles by Considering their Angles
13.6.4.
The Possibility of Forming a Triangle with Sides of Given Lengths
13.6.5.
Angle Sum Property of a Triangle
13.7.
Circle
13.7.1.
Terms Related to a Circle
13.7.2.
Radius and Diameter of a Circle
13.7.3.
Interior and Exterior of a Circle
13.7.4.
Concentric Circles
14.
Area and Perimeter
14.1.
Understanding the Concept of Perimeter
14.2.
Perimeter of a Rectilinear Figure
14.3.
Perimeter of a Triangle
14.4.
Perimeter of a Rectangle
14.5.
Perimeter of a Square
15.
Area
15.1.
Area of a Rectangle
15.2.
Area of a Square
16.
Volume
16.1.
Volume of a Cuboid
16.2.
Volume of a Cube
17.
Data Handling
17.1.
Pictographs
17.1.1.
Introduction to Pictograph
17.1.2.
Drawing Pictographs
17.1.3.
Interpreting Pictographs
17.2.
Bar Graphs
17.2.1.
Drawing Bar Graphs
17.2.2.
Interpreting Bar Graphs
17.3.
Pie Charts
18.
Exponents
18.1.
Understanding powers of ten
18.2.
Write powers of ten with exponents
18.3.
Multiply a whole number by a power of ten
18.4.
Multiply a decimal by a power of ten
18.5.
Divide by a power of ten
18.6.
Understanding exponents
18.7.
Evaluate exponents
18.8.
Find the missing exponents
19.
Problem solving
19.1.
Make the largest and smallest possible quotient
19.2.
Word Problems
19.2.1.
Write appropriate numerical expressions
19.2.2.
Multi-step word problems
19.2.2.1.
Simple multi-step problems
19.2.2.2.
Multi-step word problems involving remainders
19.2.2.3.
Multi-step word problems: identify reasonable answers
19.2.2.4.
Miscellaneous problems
19.3.
Use Venn diagrams to solve problems
20.
Number sequences
20.1.
Complete the number sequence
20.2.
Compare patterns
20.3.
Complete the number pattern
20.4.
Number sequence: word problems
21.
Coordinate plane
21.1.
Definition of coordinate plane
21.2.
Find the coordinates
21.3.
Graph points on a coordinate plane
21.4.
Complete the table and draw the graph
21.5.
Analyze graphed relationships
21.6.
Miscellaneous problems
22.
Variable expressions
22.1.
Write variable expressions
22.2.
Evaluate variable expressions
22.3.
Write variable expressions: word problems
22.4.
Solve the equations
22.4.1.
With whole numbers
22.4.2.
With decimals
22.5.
Questions on two-variables equations
22.6.
Questions on graph
22.7.
Graph a two-variable relationship
22.8.
Write a two-variable equation
22.9.
Write variable equations: word problems
23.
Probability and statistics
23.1.
Revisiting concepts
23.2.
Find the missing numbers
23.2.1.
Mode
23.2.2.
Mean
23.2.3.
Median
23.2.4.
Range
23.3.
Interpret charts and graphs
23.3.1.
For mode
23.3.2.
For mean
23.3.3.
For median
23.4.
Understanding probability
23.5.
Predictions
23.6.
Combinations
24.
Symmetry and transformations
24.1.
Line symmetry
24.2.
Rotational symmetry
24.3.
Reflection, rotation, and translation
24.4.
Identify congruent and similar figures
25.
Two-dimensional figures
25.1.
Revisiting concepts
25.2.
Types of polygons
25.3.
Lines and its type
25.4.
Various angles
25.5.
Measure angles with a protractor
25.6.
Properties of polygons
25.7.
Venn diagrams
25.8.
Parts of a circle
26.
Three-dimensional figures
26.1.
Revisiting concepts
26.2.
Nets of three-dimensional figures
26.3.
Three-dimensional figures viewed from different perspectives
27.
Financial literacy
27.1.
Identify types of taxes
27.2.
Income and payroll taxes: understanding pay stubs
27.3.
Income and payroll taxes: word problems
27.4.
Sales and property taxes: word problems
27.5.
Understand gross and net income
27.6.
Calculate gross and net income
27.7.
Identify advantages and disadvantages of payment methods
27.8.
Evaluate payment methods
27.9.
Reading financial records
27.10.
Keeping financial records
27.11.
Budget
Grade 5 Hong Kong School Math
Convert Fractions with Denominators as Powers of 10 to Decimals
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