Primary 6 Mathematics
Lessons in primary 6 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 Mathematics
- FractionsSuggested next · 1 core lessonBuild and connect the representations and methods in fractions.
- PercentagesSuggested next · 1 core lessonBuild and connect the representations and methods in percentages.
- Ratio and proportionSuggested next · 1 core lessonBuild and connect the representations and methods in ratio and proportion.
- AlgebraSuggested next · 1 core lessonBuild and connect the representations and methods in algebra.
- Measurement and shapesSuggested next · 5 core lessonsBuild and connect the representations and methods in measurement and shapes.
- Representing and interpreting dataSuggested next · 1 core lessonBuild and connect the representations and methods in representing and interpreting data.
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Lessons in primary 6 mathematics. This course is still being developed; independent practice and assessment coverage is incomplete.
Learning goals
- Divide a proper fraction by a whole number
- Divide a whole number by a proper fraction
- Divide a proper fraction by a proper fraction
- Recover a whole or original amount from a percentage part
- Find an increase as a percentage of the original
- Find a decrease as a percentage of the original
- Write the ordered ratio of given quantities
- Find quantities from a ratio and a known part or difference
- Write a different equivalent whole-number ratio
- Share a quantity in a specified ratio
- Express a whole-number ratio in simplest form
- Find a missing term in equivalent whole-number ratios
- Express a ratio part as a fraction of the whole
- Express a part-to-whole fraction as a part-to-rest ratio
- Use a chosen letter for an unknown number
- Write an algebraic expression for an operation
- Interpret an algebraic operation and its operands
- Collect like terms in a linear expression without brackets
- Evaluate a linear expression by substitution
- Solve a linear equation with whole-number coefficients
- Calculate the area of a circle from a given radius or diameter
- Calculate the circumference of a circle from a given radius or diameter
- Calculate the enclosed area of a semicircle
- Calculate the complete perimeter of a semicircle
- Calculate the enclosed area of a quarter circle
- Calculate the complete perimeter of a quarter circle
- Calculate retained area in composite polygon and circular figures
- Calculate the complete perimeter of composite polygon and circular figures
- Find a cuboid dimension from volume and two known dimensions
- Find the edge of a cube from its volume
- Find a cuboid height from volume and base area
- Find a cuboid face area from volume and its perpendicular dimension
- Evaluate a nonnegative square root
- Evaluate a nonnegative cube root
- 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
- Connect parallelogram and connected shape facts to deduce angles using existing lines
- Connect rhombus and connected shape facts to deduce angles using existing lines
- Connect trapezium and connected shape facts to deduce angles using existing lines
- 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 proper fraction by a whole number without calculator
- dividing a whole number/proper fraction by a proper fraction without calculator
- finding the whole given a part and the percentage
- finding percentage increase/decrease
- notation, representations and interpretation of a:b and a:b:c, where a, b and c are whole numbers, excluding ratios involving fractions and decimals
- equivalent ratios
- dividing a quantity in a given ratio
- expressing a ratio in its simplest form
- finding the ratio of two or three given quantities
- finding the missing term in a pair of equivalent ratios
- relationship between fraction and ratio
- using a letter to represent an unknown number
- notation, representations and interpretation of simple algebraic expressions such as • a ± 3 • a × 3 or 3a • a ÷ 3 or a/3
- simplifying simple linear expressions excluding brackets
- evaluating simple linear expressions by substitution
- simple linear equations involving whole number coefficient only
- area and circumference of circle
- finding the area and perimeter of • semicircle • quarter circle
- finding the area and perimeter of composite figures made up of square, rectangle, triangle, semicircle and quarter circle
- finding one dimension of a cuboid given its volume and the other dimensions
- finding the length of one edge of a cube given its volume
- finding the height of a cuboid given its volume and base area
- finding the area of a face of a cuboid given its volume and one dimension
- use of √ and ∛
- finding unknown angles, without additional construction of lines, in composite geometric figures involving • square • rectangle • triangle • parallelogram • rhombus • trapezium
- average as ‘total value ÷ number of data’
- relationship between average, total value and number of data