- ALG1: Simple formulae in words
- ALG2: Coordinates in the first quadrant
- NNS1: Number patterns
- NNS2: Number relationships
- NNS3: Place value
- NNS4: Proportions of a whole
- NNS5: Ordering decimals
- NNS6: Simple ratio
- CALC1: Mental methods
- CALC2: Multiplication facts
- CALC3: Written methods
- CALC4: Multiplying a decimal
- CALC5: Solving problems
- CALC6: Checking results
- SSM1: Properties of shapes
- SSM2: Making models and drawing shapes
- SSM3: Simple transformations
- SSM4: Choosing units and instruments
- SSM5: Interpreting measurements
- SSM6: Area and perimeter
- HD1: Discrete data
- HD2: Grouping data
- HD3: Venn and Carroll diagrams
- HD4: Frequency diagrams and line graphs
- HD5: Mode and range
Level 5
- ALG1: Simple formulae
- ALG2: Coordinates in four quadrants
- NNS1: Place value
- NNS2: Decimals and negative numbers
- NNS3: Number patterns and relationships
- NNS4: Equivalence between fractions
- NNS5: Simplifying fractions
- NNS6: Ratio
- CALC1: Known facts, place value and order of operations
- CALC2: Use of a calculator
- CALC3: Multiplying and dividing
- CALC4: Negative numbers
- CALC5: Ratio and proportion
- CALC6: Checking solutions
- SSM1: Properties of shapes
- SSM2: Angles
- SSM3: Transforming shapes
- SSM4: Measuring and drawing angles
- SSM5: Interpreting scales
- SSM6: Units
- SSM7: Area and perimeter
- HD1: Collecting data
- HD2: Probability
- HD3: The probability scale
- HD4: Averages
- HD5: Experiments
- HD6: Graphs and diagrams
- HD7: Line graphs
Level 6
- ALG1: Trial and improvement
- ALG2: Constructing and solving linear equations
- ALG3: Linear sequences
- ALG4: Graphs of linear functions
- ALG5: Real-life graphs
- NNS1: Comparing Proportions
- CALC1: Percentage increases and decreases
- CALC2: Ratio and proportion
- CALC3: Proportional reasoning
- CALC4: Fractions
- SSM1: Classifying quadrilaterals
- SSM2: Geometrical problems
- SSM3: Alternate and corresponding angles
- SSM4: Generating shapes and paths on a computer
- SSM5: 2D representations of 3D shapes
- SSM6: Enlargement (positive integer scale factor)
- SSM7: Transformations
- SSM8: Standard constructions
- SSM9: Area and volume
- SSM10: Circumference and area of a circle
- HD1: Designing a survey
- HD2: Selecting and constructing graphs and charts
- HD3: Finding outcomes
- HD4: Using mutually exclusive outcomes
- HD5: Communicating results
Level 7
- ALG1: Manipulating linear expressions
- ALG2: Simultaneous linear equations
- ALG3: Inequalities in one variable
- ALG4: Formulae
- ALG5: Quadratic sequences
- ALG6: Graphs of quadratic and linear functions
- NNS1: Understanding proportionality
- CALC1: Proportional change and multiplicative methods
- CALC2: Multiplying and dividing by numbers between 0 and 1
- CALC3: The four operations with fractions
- CALC4: Approximating calculations
- CALC5: Using a calculator
- SSM1: Pythagoras' Theorem
- SSM2: Right prisms
- SSM3: Enlargement (fractional scale factor)
- SSM4: Locus
- SSM5: Inaccuracy of measurements
- SSM6: Compound measures
- HD1: Identifying bias
- HD2: Frequency polygons and scatter diagrams
- HD3: Working with grouped data
- HD4: Comparing distributions
- HD5: Relative frequency
- HD6: Statistical enquiry
Level 8
- ALG1: Factorising expressions
- ALG2: Algebraic manipulation
- ALG3: Formulae I
- ALG4: Formulae II
- ALG5: Inequalities
- ALG6: Algebraic graphs
- ALG7: Transformation of graphs
- NNS1: Recurring decimals and fractions
- CALC1: Repeated proportional change
- CALC2: Complex calculations
- SSM1: Congruence and similarity
- SSM2: Trigonometry
- SSM3: Dimensions
- HD1: Statistics
- HD2: Comparing distributions
- HD3: Probability
- HD4: Tree diagrams
Objective-based Homework Sheets
Designed as formal homeworks to track progress through the Key Objectives from the 2001 Framework as paraphrased below. Self-assessment opportunities are included, and they also form part of the interactive schemes of work. These have been superseded by the ¿Convinced? collection above, but will remain available for a little while longer.Year 6
- Multiplying and dividing by 10, 100 and 1000
- Ordering decimals
- Simplifying fractions
- Fractions of quantities
- Percentages of quantities
- Simple ratio and proportion
- Adding and subtracting decimals
- Working with multiplication tables
- Multiplying and dividing involving decimals
- Multiplying a 3-digit number by a 2-digit number
- Using a protractor
- Area and perimeter of rectangles
- Coordinates in four quadrants
- Solving word problems
- Solving problems involving graphs and charts
Year 7
- Equivalent fractions
- Equivalence of fractions, decimals and percentages
- Mental calculations
- Multiplying and dividing 3-digit numbers by a 2-digit numbers
- Complex calculations
- Checking results
- Letter symbols
- Order of operations
- Plotting graphs
- Lines and angles
- Converting units and reading scales
- Using averages to compare distributions
- Basic probability
- Solving word problems
Year 8
- The four operations: integers
- Working with fractions, decimals and percentages
- Ratio and proportion
- Multiplying and dividing with decimals
- Collecting terms and multiplying out brackets
- Substitution into formulae
- Working with straight-line graphs
- Lines and angles
- Enlargement
- Constructions
- Area and volume
- Constructing graphs and charts
- Finding outcomes for successive events
- Solving word problems
- Logical argument
Year 9
- The four operations: fractions
- Proportional reasoning
- Estimating and approximating
- Equations
- Sequences
- Working with straight-line graphs
- Real-life graphs
- Geometrical reasoning
- Transformations
- Circles
- Surveys and experiments
- Statistical enquiry
- Probability
- Solving substantial problems
- Presenting a reasoned argument
Year 9 able pupils
- Indices
- Proportionality
- Multiplying linear expressions
- Simultaneous equations
- Rearranging formulae
- Similarity
- Pythagoras' Theorem
- Congruence
- Compound measures
- Bias in statistics
- Statistical enquiry
- Fuller solutions
- Accuracy of data
Levelopaedia
Okay, so it's a silly made up word, but we hope that these might prove useful. The Levelopaedia provides exemplifications and probing questions for each of the 'assessment criteria' for every NC level. This resource has been produced by the Gloucestershire Maths Advisory Team, and combines elements of primary and secondary APP with new material based on ATM question stems. There is also an e-markbook to help in the process of building a picture of what pupils can do in mathematics. - Level 1
- Level 2
- Level 3
- Level 4
- Level 5
- Level 6
- Level 7
- Level 8
- 'Building a Picture' e-profile: please visit the APP page for the latest version of the e-profile
Level Ladders
Written from a teacher's perspective to give a sense of progression through the National Curriculum levels in each of the topic areas below - Area, Perimeter, Volume, Pythagoras and Trigonometry
- Construction and Loci
- Equations, Formulae and Identities
- Fractions
- Geometrical Reasoning
- Integers, Powers and Roots
- Measures
- Mental Calculations
- Percentages
- Place Value, Ordering and Rounding
- Probability
- Processing, Representing and Interpreting Data
- Sequences, Functions and Graphs
- Transformations
- Written Calculations
Tracking Sheets
To be used in conjunction with the key objective-based homeworks above, these sheets allow pupils to record their marks and track their own progress. - Year 6 Tracker
- Year 7 Tracker
- Year 8 Tracker
- Year 9 Tracker
- Year 9 Tracker (able pupils)
Level Descriptors
- APP assessment criteria: The nationally agreed assessment criteria for assessing pupils' progress
- Level descriptor sheets: Potentially no longer as useful since the above document was agreed, but these pupil-friendly level descriptor sheets have been here for ages, so they will stay where they are for a while longer.
¿Convinced?
Formerly referred to as 'level-based homework sheets, but they can be used for so much more! A resource package based on the APP assessment criteria from Levels 4 to 8, as coded and paraphrased below. Level 4 has now been added, and all the others have been slightly changed. If you're wondering why, take a look at these user notes. Thanks to the Gloucestershire Maths Advisory Team and the Herefordshire School Improvement Service for their contributions.Level 4