Singapore Math

Primary 5

This course develops pupils’ mathematical understanding in whole numbers up to 10 million, including rounding, estimation, and number patterns. Pupils will strengthen their skills in the four operations using larger numbers and apply order of operations and brackets. The course also builds fluency in factors, multiples, and fraction concepts, including equivalent fractions, mixed numbers, and all four operations with fractions. In decimals, pupils will work up to three decimal places and apply operations and conversions in real-life contexts. Additional topics include rate, measurement of time, area and perimeter, volume of 3D shapes, and geometry involving lines and angles. Data interpretation is developed through tables, bar graphs, and line graphs.

Objectives

  • Read, write, compare, and order numbers up to 10 million, including rounding and estimation
  • Apply all four operations with whole numbers, including order of operations and brackets
  • Understand and use factors, multiples, and their relationships in problem solving
  • Perform operations with fractions, including equivalent fractions, mixed numbers, and improper fractions
  • Work confidently with decimals up to three decimal places, including all four operations and unit conversions
  • Understand and solve problems involving rate in real-life contexts

Course Info

NUMBER AND ALGEBRA

SUB-STRAND: WHOLE NUMBERS
1. Numbers up to 10 million
1.1 reading and writing numbers in numerals and in words

1.2 comparing and ordering numbers up to 100 000

1.3 rounding numbers to the nearest 10, 100 or 1000

1.4 patterns in number sequences

1.5 use of ≈
2. Four Operations
2.1 addition and subtraction algorithms (up to 3 digits) without calculator

2.2 multiplication and division algorithms (up to 2 digits by 1 digit) without calculator

2.3 multiplying and dividing by 10, 100, 1000 and their multiples without calculator

2.4 order of operations

2.5 use of brackets

2.6 mental calculation involving

  • addition and subtraction of a 3-digit number and ones/tens/hundreds
  • multiplication and division within the multiplication tables
3. Factors and Multiples
3.1 factors, multiples and their relationship

3.2 determining if a 1-digit number is a factor of a given number within 100

3.3 finding the common factors of two given numbers

3.4 determining if a number is a multiple of a given 1-digit number

3.5 finding the common multiples of two given 1-digit numbers

 

SUB-STRAND: FRACTIONS
1. Concepts of Fractions
1.1 fraction as part of a whole

1.2 fraction as part of a set
2. Equivalent Fractions
2.1 equivalent fractions

2.2 expressing a fraction in its simplest form

2.3 comparing and ordering unlike fractions, with denominators of given fractions not exceeding 12

2.4 writing the equivalent fraction of a fraction given the denominator or the numerator
3. Mixed Numbers and Improper Fractions
3.1 mixed numbers and improper fractions and their relationships
4. Four Operations
4.1 adding and subtracting fractions with denominators of given fractions not exceeding 12 and not more than two different denominators without calculator

4.2 adding and subtracting mixed numbers

4.3 multiplying a proper/improper fraction and a whole number without calculator

4.4 multiplying a proper fraction and a proper/improper fraction without calculator

 

SUB-STRAND: DECIMALS
1. Decimals up to 3 decimal places
1.1 notation, representations and place values (tenths, hundredths, thousandths)

1.2 comparing and ordering decimals

1.3 expressing decimals as fractions

1.4 expressing fractions as decimals when the denominator is a factor of 10 or 100

1.5 rounding decimals to

  • the nearest whole number
  • 1 decimal place
  • 2 decimal places
2. Four operations
2.1 adding and subtracting decimals (up to 2 decimal places) without calculator

2.2 multiplying and dividing decimals (up to 3 decimal places) by 10,100,1000 without calculator

2.3 converting a measurement from a smaller unit to a larger unit in decimal form, and vice versa

  • kilometres and metres
  • metres and centimetres
  • kilograms and grams
  • litres and millilitres

 

SUB-STRAND: RATE
1. Rate
1.1 rate as the amount of a quantity per unit of another quantity

1.2 finding rate, total amount or number of units given the other two quantities

 

MEASUREMENT AND GEOMETRY

SUB-STRAND: MEASUREMENT
1.Time
1.1 measuring time in hours and minutes

1.2 converting time in hours and minutes to minutes only, and vice versa

1.3 finding the starting time, finishing time or duration given the other two quantities

1.4 24-hour clock
2. Volume of Cube and Cuboid
2.1 building solids with unit cubes

2.2 measuring volume in cubic units, cm³ and m³ excluding conversion between cm³ and m³

2.3 drawing cubes and cuboids on isometric grid

 

SUB-STRAND: GEOMETRY
1. Perpendicular and Parallel Lines
1.1 perpendicular and parallel lines

1.2 drawing perpendicular and parallel lines
2. Angles
2.1 using notation such as ABC and a to name angles

2.2 measuring angles in degrees

2.3 drawing an angle of a given size

2.4 angles on a straight line

2.5 angles at a point

2.6 vertically opposite angles

2.7 finding unknown angles
3. Rectangle and Square
3.1 properties of rectangle and square, excluding diagonal properties
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3.2 drawing rectangle and square

 

STATISTICS

SUB-STRAND: DATA REPRESENTATION AND INTERPRETATION
1. Tables, Bar Graphs and Line Graphs
1.1 reading and interpreting data from tables/graphs

1.2 completing a table from given data

 

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