# Assessment: Key Stage 2/3

*A gradual shift to assessing without levels*

BAM Tracking | BAM Tasks | Got It? | Assessment Package 1

## 'Build-a-Mathematician' (BAM) Progress Tracking (2014 NC)

Our new 'assessing without (NC) levels' suite of assessment materials - based on the Kangaroo Maths Mastery Indicators - is intended to be used alongside our schemes of work. The structure for assessing without levels, and building a picture of a mathematician, is listed on the overview page of each scheme of work. The following document summarises key information from all the stages.

The BAM Tracker enables teachers to build a picture of their pupils and generate individual profiles. It is based on an idea in 'Embedded Formative Assessment' (Dylan Wiliam, 2011), and the intention is that it is used formatively throughout a year. For those schools wishing to use a similar approach but based on complete curriculum coverage and supporting a summative, diagnostic analysis of the Kangaroo Maths 'Got It' assessments, enhanced trackers are available to purchase for each individual stage.

- BAM Tracker
- BAM Tracker: example - a file fully populated to show the end result
- Stage 5 Tracker: example - a file fully populated to show the end result of using one of the enhanced trackers.

BAM Progress Tracker sheets enable pupils to be part of the effective tracking of key conceptual indicators that underpin progression in mathematics.

- Stage 1 BAM Progress Tracker
- Stage 2 BAM Progress Tracker
- Stage 3 BAM Progress Tracker
- Stage 4 BAM Progress Tracker
- Stage 5 BAM Progress Tracker
- Stage 6 BAM Progress Tracker
- Stage 7 BAM Progress Tracker
- Stage 8 BAM Progress Tracker
- Stage 9 BAM Progress Tracker
- Stage 10 BAM Progress Tracker

## 'Build-a-Mathematician' (BAM) Tasks (2014 NC)

Brand new assessment tasks to support the process of building a picture of a mathematician. The tasks are ideal to consolidate intended learning, support deliberate practice sessions and/or use as homework tasks. The carefully crafted questions have been designed to assess fluency, reasoning, problem solving and a student's ability to apply their understanding. One further question will always focus on a misconception. Thanks to the GLOW Maths Hub for their contributions.

### Stage 2

- 2M1: Reading and writing numbers
- 2M2: Comparing and ordering
- 2M3: Counting I
- 2M4: Counting II
- 2M5: Addition and subtraction I
- 2M6: Addition and subtraction II
- 2M7: Multiplication and division
- 2M8: Commutativity
- 2M9: Fractions
- 2M10: Telling the time
- 2M11: Measurement
- 2M12: Shapes
- 2M13: Position, direction and movement

### Stage 3

- 3M1: Reading and writing numbers
- 3M2: Comparing and ordering
- 3M3: Counting
- 3M4: Addition and subtraction I
- 3M5: Addition and subtraction II
- 3M6: Multiplication and division
- 3M7: Multiplication
- 3M8: Fractions I
- 3M9: Fractions II
- 3M10: Decimals
- 3M11: Telling the time
- 3M12: Measuring
- 3M13: Perimeter

### Stage 4

- 4M1: Rounding
- 4M2: Counting
- 4M3: Addition and subtraction
- 4M4: Multiplication
- 4M5: Multiplication and division
- 4M6: Decimals
- 4M7: Fractions I
- 4M8: Fractions II
- 4M9: Area
- 4M10: Symmetry I
- 4M11: Symmetry II
- 4M12: Coordinates
- 4M13: Graphs and charts

### Stage 5

- 5M1: Factors and multiples
- 5M2: Counting
- 5M3: Rounding
- 5M4: Addition and subtraction
- 5M5: Multiplication
- 5M6: Division
- 5M7: Fractions
- 5M8: Decimals
- 5M9: Percentages
- 5M10: Measures
- 5M11: Angles
- 5M12: Area
- 5M13: Polygons

### Stage 6

- 6M1: Place value
- 6M2: Dividing
- 6M3: Formulae
- 6M4: Sequences
- 6M5: Ratio
- 6M6: Fractions I
- 6M7: Fractions II
- 6M8: Fractions III
- 6M9: Percentages
- 6M10: Angles
- 6M11: Volume
- 6M12: Coordinates
- 6M13: Averages

### Stage 7

- 7M1: Powers and roots
- 7M2: Calculating with decimals
- 7M3: Fractions and percentages
- 7M4: Percentages
- 7M5: Fractions
- 7M6: Checking calculations
- 7M7: Manipulating expressions I
- 7M8: Manipulating expressions II
- 7M9: Formulae
- 7M10: Equations
- 7M11: Algebraic graphs
- 7M12: Surface area
- 7M13: Geometric notation

### Stage 8

- 8M1: Negative numbers
- 8M2: Standard form
- 8M3: Indices
- 8M4: Fractions and decimals
- 8M5: Proportion
- 8M6: Percentages
- 8M7: Manipulating expressions
- 8M8: Formulae
- 8M9: Sequences
- 8M10: Equations
- 8M11: Algebraic graphs
- 8M12: Circles
- 8M13: Probability

### Stage 9

- 9M1: Roots and indices
- 9M2: Manipulating expressions I
- 9M3: Manipulating expressions II
- 9M4: Gradient
- 9M5: Simultaneous equations
- 9M6: Quadratic functions
- 9M7: Compound units
- 9M8: Construction
- 9M9: Similar shapes
- 9M10: Exact calculation
- 9M11: Pythagoras' theorem
- 9M12: Proof
- 9M13: Tree diagrams

### Stage 10

- 10M1: Fractional indices
- 10M2: Direct and inverse proportion
- 10M3: Recurring decimals and fractions
- 10M4: Iterative methods
- 10M5: Factorising quadratic expressions
- 10M6: Solving quadratic equations
- 10M7: Quadratic graphs
- 10M8: Rates of change
- 10M9: Equation of a circle
- 10M10: Trigonometry
- 10M11: Volume
- 10M12: Vectors
- 10M13: Measures of central tendency

## Got It?

A collection of holistic assessments designed to assess pupils' understanding of all the key concepts within a stage and help build a mathematical profile against age related expectations. The assessments are structured in an order such that Question 1 assesses statement 1 in the medium term plans (the 'Stage X Mathematics' jigsaw diagrams), Question 2 assesses statement 2 and so on. Produced in association with the AET Mathematics Team.

- Stage 1: Question by question
- Stage 1: Got It?
- Stage 2: Got It?
- Stage 3: Got It?
- Stage 4: Got It?
- Stage 5: Got It?
- Stage 6: Got It?
- Stage 7: Got It?
- Stage 8: Got It?
- Stage 9: Got It?

## Assessment Package 1

This Kangaroo Maths Assessment Package has been designed to support formative and summative assessment procedures in primary and secondary schools. In addition to the Got It? resources, there are two further types of assessment included:

### TestBank

For those schools wanting to create tests, the TestBank provides questions based on the expectations of the 2014 National Curriculum. Most of these questions are the same as those in the Got It? documents described above, but arranged in the same order as the units of the Kangaroo Maths schemes of work. End of section assessments for each stage of the schemes of work are easily created by copying the relevant section. Available as PDF files for Stages 3 to 9 and complete with markschemes*.

### Exams

The examinations provide a collection of questions, very similar in style to the Got It/TestBank questions, which provide full coverage of the Kangaroo Maths Mastery Indicators and Essential Knowledge statements outlined on the overview page of each of our schemes of work. Available as PDF files, there are two papers of 60 marks each (except Stage 3 which is 50 marks each). Stages 5 to 9 are presented as one calculator and one non-calculator paper. Complete with markschemes.

- TestBank (Stages 3 to 9)
- Examinations (Stages 3 to 9)
- Got It? markschemes (Stages 1 to 9)
- TestBank markschemes (Stages 3 to 9)
- Examination markschemes (Stages 3 to 9)

### What is the full package and how do I get hold of it?

The price for the full package is a one-off payment of £225 (no annual subscription!) Schools will be provided with login details and all PDF files can be downloaded and copied for use in school. Please use the order form here. For existing 'Bring on the Maths' users, the login details will remain the same.

## Assessment Package 2

The second Kangaroo Maths Assessment Package will provide a new 'Got It?', 'TestBank' and examination for each stage from 3 to 9. It will be available in spring 2016.

**Please note that the resources below are related to the old National Curriculum and are not being updated.**

¿Convinced? | Single Level Tests | Level Ladders | Levelopaedia

## ¿Convinced? ('Old' NC)

A resource package based on the assessment criteria from Levels 3 to 8, as coded and paraphrased below. Self-assessment opportunities are included, and they also form part of the (**old**)interactive schemes of work. Take a look at these user notes for detailed information about their design. Thanks to the Gloucestershire Maths Advisory Team and the Herefordshire School Improvement Service for their contributions.

### Level 3

- ALG1: Sequences
- ALG2: Symbols
- NNS1: Place value
- NNS2: Approximating
- NNS3: Negative numbers
- NNS4: Fractions
- NNS5: Decimal notation
- CALC1: Multiplication and division I
- CALC2: Addition and subtraction I
- CALC3: Addition and subtraction II
- CALC4: Multiplication and division II
- CALC5: Addition and subtraction III
- CALC6: Number problems
- SSM1: Classifying shapes
- SSM2: Nets of 3D shapes
- SSM3: Orientation and reflection of shapes
- SSM4: Position and movement
- SSM5: Measures
- SSM6: Time
- HD1: Gathering information
- HD2: Bar charts and pictograms
- HD3: Venn and Carroll diagrams
- HD4: Interpreting information

### Level 4

- 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

## Single Level Tests ('Old' NC)

A resource package providing sets of assessments based on National Curriculum levels to help produce a mathematical profile for students. Ideal support for identifying strengths and areas for development in order to close gaps in achievement, and also for ensuring that tracking data is robust and accurate. Thanks to the AET Mathematics Team for developing and contributing all of these resources.

### Term 1

- Level 2, PowerPoint
- Level 2, Pupil Answer Sheet
- Level 2, Answers
- Level 3, Question Sheet
- Level 3, Answers
- Level 4, Question Sheet
- Level 4, Answers
- Level 5, Question Sheet
- Level 5, Answers
- Level 6, Question Sheet
- Level 6, Answers
- Level 7, Question Sheet
- Level 7, Answers
- Level 8, Question Sheet
- Level 8, Answers

### Term 2

- Level 1, PowerPoint
- Level 1, Pupil Answer Sheet
- Level 1, Answers
- Level 2, PowerPoint
- Level 2, Pupil Answer Sheet
- Level 2, Answers
- Level 3, Question Sheet
- Level 3, Answers
- Level 4, Question Sheet
- Level 4, Answers
- Level 5, Question Sheet
- Level 5, Answers
- Level 6, Question Sheet
- Level 6, Answers
- Level 7, Question Sheet
- Level 7, Answers
- Level 8, Question Sheet
- Level 8, Answers

### Term 3

- Level 1, Questions
- Level 1, Pupil Answer Sheet
- Level 1, Answers
- Level 2, PowerPoint
- Level 2, Pupil Answer Sheet
- Level 2, Answers
- Level 3, Question Sheet
- Level 3, Answers
- Level 4, Question Sheet
- Level 4, Answers
- Level 5, Question Sheet
- Level 5, Answers
- Level 6, Question Sheet
- Level 6, Answers
- Level 7, Question Sheet
- Level 7, Answers
- Level 8, Question Sheet
- Level 8, Answers

### Diagnostics

- Diagnostic Tracker: for producing question level analysis for each pupil
- Level 1 profile
- Level 2 profile
- Level 3 profile
- Level 4 profile
- Level 5 profile
- Level 6 profile
- Level 7 profile
- Level 8 profile

## Level Ladders ('Old' NC)

Written from a teacher's perspective to give a sense of progression through 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

## Levelopaedia ('Old' NC)

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 National Curriculum level. This resource has been produced by the Gloucestershire Maths Advisory Team, and there is also an e-profile to help in the process of building a picture of what pupils can do in mathematics.