New Generation Mathematics - Year 6

This block contains units that enable pupils to:

• Find the difference between a positive and a negative integer, or two negative integers, in context
• Use knowledge of place value and multiplication facts to 10 × 10 to derive multiplication and division facts involving decimals
• Round large numbers to the nearest multiple of 10, 100 or 1000
• Use a calculator to solve problems involving multi-step calculations
• Partition, round and order decimals with up to three places, and position them on the number line
• Use efficient written methods to add and subtract integers and decimals
• Explain reasoning and conclusions, using words, symbols and diagrams as appropriate
• Calculate mentally with integers and decimals
• Explain reasoning and conclusions, using words, symbols or diagrams as appropriate

Homework sheets, activity sheets and PowerPoint presentation slides are included.

This block contains units that enable children to:

• Recognise that prime numbers have only two factors
• Identify prime numbers less than 100. Use knowledge of prime numbers to solve problems
• Describe, identify and visualise parallel and perpendicular edges
• Represent and interpret sequences, patterns and relationships involving numbers
• Test a hypothesis
• Write and use simple expressions in formulae and words
• Tabulate systematically the information in a problem or puzzle
• Identify and record the steps or calculations needed to solve it
• Find the prime factors of two-digit numbers
• Describe, identify and visualise parallel and perpendicular edges or faces
• Use these properties to classify 3D solids
• Make and draw shapes with increasing accuracy and apply knowledge of their properties

Activity sheets, homework sheets and PowerPoint presentation slides are included.

This block includes units that enable children to:

• Read and interpret scales on a range of measuring instruments
• Describe and interpret results and solutions to problems using the mode, median and mean
• Interpret line graphs
• Construct and interpret frequency tables, bar charts with grouped discrete data
• Solve problems by selecting, processing and interpreting data
• Convert between units of measurement using decimals to two places
• Draw conclusions and identify further questions to ask
• Select and use standard units of measure and convert between units using decimals to two decimal places
• Describe and predict outcomes from data using the language of chance or likelihood

Activity sheets, homework sheets and PowerPoint presentation slides are included.

This block contains units that enable children to:

• Use efficient written methods to add integers and decimals
• Measure and calculate using imperial units and know their appro×imate metric values
• Read and interpret scales on a range of measuring instruments and record to a required degree of accuracy
• Compare readings on different scales
• Calculate the perimeter of rectilinear shapes and estimate the area of irregular shapes by counting squares
• Estimate angles, and use a protractor to measure them, on their own and in shapes
• Use efficient written methods to add and subtract integers and decimals
• Calculate angles in a triangle or around a point
• Use coordinates in the first quadrant to draw, locate and complete shapes that meet given properties
• Visualise and draw on a grid where a shape will be after reflection or after translations
• Convert between units using decimals to two places

Activity sheets, homework sheets and PowerPoint presentation slides are included.

This block contains units that enable children to:

• Use efficient written methods to add integers and decimals
• Use efficient written methods to divide integers by a one-digit integer
• Find fractions and percentages of whole number quantities
• Order a set of fractions by converting them to fractions with a common denominator
• Simplify fractions by cancelling common factors
• Express a larger whole number as a fraction of a smaller one
• Relate fractions to multiplication and division
• Express a quotient as a fraction and decimal
• Find fractions of whole-number quantities
• Solve simple problems involving direct proportion by scaling quantities up or down
• Express one quantity as a percentage of another; find equivalent percentages, decimals and fractions

Activity sheets, homework sheets and PowerPoint presentation slides are included,