Primary 6 Foundation Mathematics
Lessons in primary 6 foundation mathematics. This course is still being developed; independent practice and assessment coverage is incomplete.
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Fractions
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Topics
Primary 6 Foundation Mathematics
- FractionsSuggested next · 2 core lessonsBuild and connect the representations and methods in fractions.
- DecimalsSuggested next · 2 core lessonsBuild and connect the representations and methods in decimals.
- PercentagesSuggested next · 2 core lessonsBuild and connect the representations and methods in percentages.
- Measurement and shapesSuggested next · 4 core lessonsBuild and connect the representations and methods in measurement and shapes.
- Representing and interpreting dataSuggested next · 2 core lessonsBuild and connect the representations and methods in representing and interpreting data.
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- PSLE Foundation Mathematics: Paper 1 practice
- PSLE Foundation Mathematics: Paper 2 practice
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Lessons in primary 6 foundation mathematics. This course is still being developed; independent practice and assessment coverage is incomplete.
Learning goals
- Express a whole-number quotient as a fraction
- Express a general fraction as a decimal
- Divide a proper fraction by a whole number
- Divide a whole number by a proper fraction
- Divide a proper fraction by a proper fraction
- Multiply decimal values
- Divide by a decimal value
- Divide whole numbers to obtain a decimal
- Round the final result of a decimal calculation
- Express a part as a percentage of its whole
- Write a percentage as a simplest fraction
- Write a fraction as a percentage
- Write a percentage as a decimal
- Write a decimal as a percentage
- Calculate a percentage part of a whole
- Calculate a discount and the sale price
- Calculate a stated percentage tax and the total price
- Calculate one year's simple interest and balance
- Identify a triangle's base and perpendicular height
- Calculate the area of a triangle
- Calculate the area of a composite plane figure
- Calculate the exposed boundary of a composite plane figure
- Calculate the volume of a cube or cuboid
- Calculate the volume of liquid in a rectangular tank
- Relate cubic centimetres to millilitres and litres
- Use the guaranteed side and angle properties of an isosceles triangle
- Use the guaranteed side and angle properties of an equilateral triangle
- Use perpendicular sides and complementary angles of a right-angled triangle
- Deduce every missing angle from the equal sides of an isosceles triangle
- Deduce all three angles from an equilateral triangle
- Deduce missing angles in a right-angled triangle
- Apply the sum of the three interior triangle angles
- Use right corners and angle partitions between connected rectangles or squares
- Connect triangle, rectangle and square facts to deduce angles in a drawn composite figure
- Interpret sector shares relative to a pie chart's whole
- Calculate and interpret the arithmetic mean
- Find a total from the mean and number of values
- Find the number of values from their total and mean
- Recover a missing or added value from a mean
- Combine group means through their totals and sizes
Syllabus statements covered
- dividing a whole number by a whole number with quotient as a fraction
- expressing fractions as decimals
- dividing a proper fraction by a whole number
- dividing a whole number/proper fraction by a proper fraction
- multiplying and dividing decimals
- dividing a whole number by a whole number with quotient as a decimal without calculator
- rounding answers to a specified degree of accuracy
- expressing a part of a whole as a percentage
- use of %
- finding a percentage part of a whole
- finding discount, GST and annual interest
- concepts of base and height of a triangle
- area of triangle
- finding the area and perimeter of composite figures made up of squares, rectangles and triangles
- volume of a cube/cuboid
- finding the volume of liquid in a rectangular tank excluding conversion between cm³ and m³
- relationship between ℓ (or ml) with cm³
- properties of • isosceles triangle • equilateral triangle • right-angled triangle
- angle sum of a triangle
- finding unknown angles, without additional construction of lines, in composite geometric figures involving • square • rectangle • triangle
- reading and interpreting data from pie charts
- average as ‘total value ÷ number of data’
- relationship between average, total value and number of data