Basic Skills Online - Level 1 - Numeracy/Application of number Requirements

Number - At this level, adults are expected to:

• Read, write, order and compare numbers, including large numbers
• Say numbers written in digit form and in words
• Write numbers in digit form and in words
• Arrange numbers in order of size
• Use > to describe two different numbers
• Use < to describe two different numbers
• Recall multiplication facts and make connections with division facts and recognise numerical relationships
• Record multiplication facts up to 10 x 10
• Record multiples of 2 to 9 up to 100
• Record multiples of 10,50,100 and 1000
• Record square numbers up to 10 x 10
• Identify negative numbers in practical contexts
• Explain what negative numbers are
• Find out where negative numbers are used in everyday situations and give examples
• Read, write, order and compare fractions and mixed numbers
• Find out where common fractions and mixed numbers are used in everyday situations
• Write common fractions and mixed numbers in digit form
• Arrange common fractions and mixed numbers in digit form in order of size
• Use > to describe common fractions and mixed numbers in digit form
• Use < to describe common fractions and mixed numbers in digit form
• Read, write, order and compare decimals
• Find out where decimals are used in everyday situations
• Write decimals in digit form
• Arrange decimals in digit form in order of size
• Use > to describe two different decimals in digit form
• Use < to describe two different decimals in digit form
• Read, write, order and compare percentages
• Find out where percentages are used in everyday situations
• Write percentages in digit form
• Arrange percentages in digit form in order of size
• Use > to describe two different percentages in digit form
• Use < to describe two different percentages in digit form
• Understand simple percentage increase and decrease
• Explain what a percentage is and where it is used in everyday situations
• Find out where percentage increase is used in everyday situations
• Find out where percentage decrease is used in everyday situations

Calculating using whole numbers - At this level, adults are expected to:

• Add and subtract using efficient written and calculator methods
• Add numbers using written and calculator methods
• Subtract numbers using written and calculator methods
• Check numbers using a calculator
• Multiply whole numbers using efficient written and calculator methods
• Multiply numbers using written and calculator methods
• Multiply whole numbers by 10
• Multiply whole numbers by 100
• Check numbers using a calculator
• Approximate by rounding
  • Round whole numbers to the nearest 10, 100, 1,000 and 1,000,000
• Estimate answers to calculations
• Approximate answers to addition calculations
• Approximate answers to subtraction calculations
• Approximate answers to multiplication calculations
• Approximate answers to division calculations

Calculating using fractions, decimals and percentages - At this level, adults are expected to:

• Use equivalencies between common fractions, percentages and decimals to find parts of whole number quantities or measurements
• Write the equivalent percentages and decimals of given fractions
• Write the equivalent decimals and fractions of given percentages
• Write the equivalent percentages and fractions of given decimals
• Calculate parts of whole numbers or measurements
• Change a fraction to a decimal
• Add and subtract, decimals up to two places, including the efficient use of a calculator
• Add decimals using written and calculator methods
• Subtract decimals using written and calculator methods
• Multiply and divide, decimals up to two places, including the efficient use of a calculator
• Multiply decimals using different written and calculator methods
• Divide decimals using different written and calculator methods
• Multiply and divide decimals by 10 and 100
• Explain place value in given decimals
• Multiply decimals by 10 and 100
• Divide decimals by 10 and 100
• Approximate decimals by rounding to a whole number or two decimal places
• Round decimals to whole number or two decimal places
• Find percentage parts of quantities and measurements
• Calculate percentage parts of quantities or measurements using written and calculator methods
• Find percentage increase and decrease
• Calculate a percentage increase using a written and calculator method
• Calculate a percentage decrease using a written and calculator method
• Work out simple ratio and direct proportion
• Calculate using simple ratio expressed in the form a:b
• Calculate direct proportion

Calculating using Common Measures - At this level, adults are expected to:

• Add, subtract, multiply, divide and record sums of money
• Use pounds and pence to add amount of money
• Use pounds and pence to subtract amounts of money
• Multiply sums of money in pounds and pence by one and two digit numbers
• Divide sums of money in pounds and pence by one and two digit numbers
• Read, measure and record time in common date formats and in 12hr and 24hr clock formats
• Read and record time in common date formats
• Read and record time in 12hr clock format
• Read and record time in 24hr clock format
• Measure time using appropriate measuring instruments and record
• Choose and use appropriate units and instruments to measure length, weight, capacity and temperature
• name appropriate units of measure for length
• name appropriate units of measure for weight
• name appropriate units of measure for capacity
• name appropriate units of measure for temperature
• Measure length using appropriate measuring instruments
• Measure weight using appropriate measuring instruments
• Measure capacity using appropriate measuring instruments
• Measure temperature using appropriate measuring instruments
• Calculate within the same system
• Add common units of measure within the same system
• Subtract common units of measure within the same system
• Convert common units of measure within the same system

Calculating using Shape and Space - At this level, adults are expected to:

• Solve problems using the mathematical properties of regular 2-D shapes
• Name regular 2-D shapes
• Identify the properties of 2-D shapes
• Solve problems using the properties of 2-D shapes
• Draw 2-D shapes in different orientations using grids
• Use grids to draw 2-D shapes in different orientations
• Work out perimeters of simple shapes
• Explain what a perimeter is
• Write common units of measure for perimeters
• Explain how to calculate perimeters of simple shapes
• Calculate perimeters of rectangles
• Calculate perimeters of triangles
• Calculate perimeters of squares
• Work out the areas of rectangles
• Write common units of measure for area
• Write the formula for finding out the area of a rectangle
• Calculate areas of rectangles
• Work out simple volumes
  • Name cuboid shapes used in everyday situations
  • Label a cuboid using length, height and width (or depth)
  • Write common units of measure for volume
  • Write the formula for finding out the volume of a cuboid
  • Calculate volumes of cuboids

Handling Data and Probability - At this level, adults are expected to:

• Extract and interpret information
• Extract and interpret information from tables
• Extract and interpret information from diagrams
• Extract and interpret information from charts
• Extract and interpret information from line graphs
• Collect, organise and represent discrete data
• Use suitable methods to collect and record discrete data
• Arrange and represent collected data in suitable ways
• Choose sensible scales when representing data
• Label charts, graphs and diagrams appropriately
• Find the arithmetical average (mean) and range for a set of data
• Explain the term 'average' and give examples of where it is used in everyday contexts
• Calculate the means for different sets of given data showing working
• Explain if your answers are realistic or not giving reasons
• Explain the term 'range' and give examples of where it is used in everyday contexts
• Calculate the ranges for different sets of given data showing working
• Show that some events are more likely to occur than others
• Give examples of events that are certain to happen
• Give examples of events that are impossible
• Give examples of events that are more likely to occur than others
• Express the likelyhood of an event occuring using fractions, decimals and percentages
• On a probability scale of 0 to 1, plot the likelyhood of events occuring
• Show how to calculate the probability of an event occurring
• Express the probability of given events occuring as fractions
• Express the probability of given events occuring as decimals
• Express the probability of given events occuring as percentages

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