Primary 5 Foundation Mathematics
Lessons in primary 5 foundation mathematics. This course is still being developed; independent practice and assessment coverage is incomplete.
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Numbers and relationships
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Topics
Primary 5 Foundation Mathematics
- Numbers and relationshipsSuggested next · 6 core lessonsBuild and connect the representations and methods in numbers and relationships.
- FractionsSuggested next · 6 core lessonsBuild and connect the representations and methods in fractions.
- DecimalsSuggested next · 3 core lessonsBuild and connect the representations and methods in decimals.
- Rate and speedSuggested next · 1 core lessonBuild and connect the representations and methods in rate and speed.
- Measurement and shapesSuggested next · 9 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 5 foundation mathematics. This course is still being developed; independent practice and assessment coverage is incomplete.
Learning goals
- Read and write numerical representations
- Compare and order numbers and representations
- Round, estimate and judge numerical accuracy
- Describe and extend number patterns
- Add whole numbers
- Subtract whole numbers
- Multiply whole numbers
- Divide whole numbers
- Evaluate expressions with operation order and brackets
- Calculate with whole numbers mentally
- Identify primes, factors and multiples
- Represent fractions relative to a specified whole
- Express a selected part as a fraction of its whole set
- Find the number of objects in a fraction of a set
- Write a different equivalent fraction
- Express a fraction in simplest form
- Compare unlike fractions
- Order unlike fractions
- Write an equivalent fraction with a given numerator
- Write an equivalent fraction with a given denominator
- Convert a mixed number to an improper fraction
- Convert an improper fraction to a mixed or whole number
- Add and subtract unlike fractions
- Add and subtract mixed-number amounts
- Multiply a proper fraction by a whole number
- Multiply an improper fraction by a whole number
- Multiply two proper fractions
- Multiply a proper and an improper fraction
- Identify each decimal place count
- Write a decimal from its place values
- Compare decimal values
- Order decimal values
- Express a decimal as a fraction
- Express a fraction as a decimal
- Round a decimal to the requested place
- Add decimals
- Subtract decimals
- Multiply a decimal by 10, 100 or 1000
- Divide a decimal by 10, 100 or 1000
- Express a decimal measurement in the smaller unit
- Express a measurement as a decimal in the larger unit
- Use rate, speed, distance and time relationships
- Read clocks and calculate durations
- Distinguish area, perimeter and volume and their units
- Calculate and justify area and perimeter
- Construct geometric figures from stated conditions
- Classify shapes by their properties
- Write a three-point name for a marked angle
- Identify a marked opening from a three-point angle name
- Measure an angle in degrees
- Draw an angle of a given size
- Deduce unknown angles from geometric relationships
- Use side and angle properties of rectangles and squares
- Draw a rectangle with specified unequal sides
- Draw a square with a specified side
- Read and interpret data displays
- Organise data and construct a suitable display
Syllabus statements covered
- reading and writing numbers in numerals and in words
- comparing and ordering numbers up to 100 000
- rounding numbers to the nearest 10, 100 or 1000
- patterns in number sequences
- use of ≈
- addition and subtraction algorithms (up to 3 digits) without calculator
- multiplication and division algorithms (up to 2 digits by 1 digit) without calculator
- multiplying and dividing by 10, 100, 1000 and their multiples without calculator
- order of operations
- use of brackets
- mental calculation involving • addition and subtraction of a 3-digit number and ones/tens/hundreds • multiplication and division within the multiplication tables
- factors, multiples and their relationship
- determining if a 1-digit number is a factor of a given number within 100
- finding the common factors of two given numbers
- determining if a number is a multiple of a given 1-digit number
- finding the common multiples of two given 1-digit numbers
- fraction as part of a whole
- fraction as part of a set
- equivalent fractions
- expressing a fraction in its simplest form
- comparing and ordering unlike fractions, with denominators of given fractions not exceeding 12
- writing the equivalent fraction of a fraction given the denominator or the numerator
- mixed numbers and improper fractions and their relationships
- adding and subtracting fractions with denominators of given fractions not exceeding 12 and not more than two different denominators without calculator
- adding and subtracting mixed numbers
- multiplying a proper/improper fraction and a whole number without calculator
- multiplying a proper fraction and a proper/improper fraction without calculator
- notation, representations and place values (tenths, hundredths, thousandths)
- comparing and ordering decimals
- expressing decimals as fractions
- expressing fractions as decimals when the denominator is a factor of 10 or 100
- rounding decimals to • the nearest whole number • 1 decimal place • 2 decimal places
- adding and subtracting decimals (up to 2 decimal places) without calculator
- multiplying and dividing decimals (up to 3 decimal places) by 10,100,1000 without calculator
- 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
- rate as the amount of a quantity per unit of another quantity
- finding rate, total amount or number of units given the other two quantities
- measuring time in hours and minutes
- converting time in hours and minutes to minutes only, and vice versa
- finding the starting time, finishing time or duration given the other two quantities
- 24-hour clock
- concept of area and perimeter of a plane figure
- measuring area in square units, cm² and m², excluding conversion between cm² and m²
- area and perimeter of rectangle/square
- finding one dimension of a rectangle given the other dimension and its area/perimeter
- finding the length of one side of a square given its area/perimeter
- finding the area and perimeter of composite figures made up of rectangles and squares
- building solids with unit cubes
- measuring volume in cubic units, cm³ and m³ excluding conversion between cm³ and m³
- drawing cubes and cuboids on isometric grid
- perpendicular and parallel lines
- drawing perpendicular and parallel lines
- using notation such as ∠ ABC and ∠ a to name angles
- measuring angles in degrees
- drawing an angle of a given size
- angles on a straight line
- angles at a point
- vertically opposite angles
- finding unknown angles
- properties of rectangle and square, excluding diagonal properties
- drawing rectangle and square
- reading and interpreting data from tables/graphs
- completing a table from given data