# Blackfen School for Girls

Raising aspirations - releasing potential

# Mathematics

### Year 7 and 8 students will do the following assessments during the year:

• Autumn 1 assessment 1 (20 minutes) Autumn 1 assessment 2 (40 minutes)
• Autumn 2 assessment 1 (20 minutes) Autumn 2 assessment 2 (45 minutes)
• Spring 1 assessment 1 (20 minutes) Spring 1 assessment 2 (40 minutes)
• Spring 2 Closing the Gap (2 papers of 45 minutes)
• Summer 1 assessment 1 (20 minutes) Summer 1 assessment 2 (40 minutes)
• Summer 2 assessment 1 (20 minutes) Summer 2 assessment 2 (45 minutes)

### Year 7 – White Rose

Term Topics and Key Concepts
Autumn 1

Unit 1 – Sequences

Unit 2 - Understand and use algebraic notation

Unit 3 - Equality and equivalence

Autumn 2

Unit 4 – Place value and ordering integers and decimals

Unit 5 - Fraction, decimal and percentage equivalence

Spring 1

Unit 6-Solving problems with addition and subtraction

Unit 7-Solving problems with multiplication and division

Unit 8-Fraction and percentage of amount

Spring 2

Unit 9 - Operations and equations with directed numbers

Unit 10- Addition and subtraction of fractions

Summer 1

Unit 11- Constructing, measuring, and using geometric notation

Unit 12- Developing geometric reasoning

Summer 2

Unit 13- Developing Number Sense

Unit 14- Sets and Probability

Unit 15- Prime numbers and proof

### Year 8 – White Rose

Term Topics and Key Concepts
Autumn 1

Unit 1 - Ratio and Scale

Unit 2 - Multiplicative Change

Unit 3 - Multiplying and Dividing Fractions

Autumn 2

Unit 4 - Working in the Cartesian plane

Unit 5 - Representation of Data

Unit 6 - Tables and Probability

Spring 1

Unit 7 - Brackets, equations and inequalities

Unit 8 – Sequences

Unit 9 – Indices

Spring 2

Unit 10 - Fractions and Percentages

Unit 11 - Standard Index Form

Unit 12 - Number Sense

Summer 1

Unit 13 - Angles in Parallel lines and Polygons

Unit 14 - Area of Trapezia and Circles

Unit 15 – Line symmetry and reflection

Summer 2

Unit 16 - Data Handling Cycle

Unit 17 - Measures of Location

### Year 9 Scheme of Work

Year 9 students will do the following assessments during the year:

• Autumn 1 assessment 1 (30 minutes) Autumn 1 assessment 2 (60 minutes)
• Autumn 2 assessment 1 (30 minutes)
• Spring 1 -January Year 9 examinations (non-calculator and calculator paper. 60 minutes each)
• Spring 2 assessment 1 (30 minutes) Spring 2 assessment 2 (60 minutes)
• Summer 1 assessment 1 (30 minutes) Summer 1 assessment 2 (60 minutes)
• Summer 2 - End of Year examinations (non-calculator and calculator paper, 60 minutes each)
Half term Foundation Unit of work Higher Unit of work
Autumn 1
• Integers and Place Value
• Decimals
• Indices, powers and roots
• Calculations, checking and rounding
• Indices and roots
• Factors, multiples and primes
• Indices and standard form
Autumn 2
• Factors, multiples and primes
• Algebra basics
• Expanding and factorising single brackets
• Substitution and expressions
• Algebra basics
• Equations
• Sequences
• Averages and range
Spring 1
• Tables
• Charts and graphs
• Fractions
• Representing and interpreting data
• Scatter graphs
• Fractions
Spring 2
• Pie charts
• Scatter Graphs
• Fractions, decimals and percentages
• Percentages
• Fractions
• Percentages
• Ratio and proportion
Summer 1
• Equations
• Inequalities
• Polygons, angles and parallel lines
Summer 2
• Sequences
• Pythagora's theorem and trigonometry

### Year 10 Scheme of Work

Year 10 students will do the following assessments during the year:

• Autumn 1 assessment 1 (30 minutes) Autumn 1 assessment 2 (60 minutes)
• Autumn 2 assessment 1 (30 minutes) Autumn 2 assessment 2 (60 minutes)
• Spring 1 assessment 1 (30 minutes) Spring 1 assessment 2 (60 minutes)
• Spring 2 assessment 1 (30 minutes) Spring 2 assessment 2 (60 minutes)
• Summer 1 assessment 1 (30 minutes) Summer 1 assessment 2 (60 minutes)
• Summer 2 – Year 10 Summer PPE examinations (non- calculator and calculator paper, 60 minutes each)
Half Term Foundation Units of Work Higher Units of Work
Autumn 1
• Properties of shape, parallel lines and angle facts
• Interior and exterior angles of polygons
• Statistics and sampling
• The averages
• Perimeter and area
• Graphs: the basics and real-life graphs
• Linear graphs and coordinate geometry
• Quadratic, cubic and other graphs
Autumn 2
• 3D forms and volume
• Real life graphs
• Straight line graphs
• Perimeter, area and circles
• 3D forms and volumes
• Accuracy and bounds
• Transformations
Spring 1
• Transformations
• Ratio
• Constructions, loci and bearings
• Solving quadratic and simultaneous equations
• Inequalities
Spring 2
• Proportion
• Pythagoras’ theorem and trigonometry
• Probability
• Probability
• Multiplicative reasoning
Summer 1
• Multiplicative reasoning
• Plans and elevations
• Similarity and congruency
• Graphs of trigonometry functions
Summer 2
• Constructions, loci and bearings
• Further trigonometry

### GCSE Statistics

Students learn the EDEXCEL Higher tier scheme of work.

### Year 10

Term Unit of Work Summary
Autumn 1
• Data
• Population and sampling Collecting discrete data

Students learn the key definitions of statistical words, how to sample data.

Autumn 2
• Planning and collecting data
• Qualitative and discrete data
Students will learn how to collect continuous, qualitative and discrete data
Spring 1
• Continuous data
• Tabulation
• Measures of central tendency – mode, median and mean

Students will convert raw data to summary statistics, design, construct and present summary tables.

Spring 2
• Measures of dispersion
• Box plots, skewness, calculating and representing outliers
Students will learn how to calculate – range, quartiles, interquartile range, interpercentile range, inter-decile range, standard deviation and boxplots
Summer 1
• Scatter graphs
• Time series
• Introduction to probability
Students will learn in detail the different aspects of a scatter graph and time series. Know how to interpret them in real life context and relate information to exam questions.
Summer 2 Complete a mock controlled assessment Students will learn how to complete a controlled assessment, learning about how to write statistical information

### Year 11 Scheme of Work

Year 11 students will do the following assessments during the year:

• Autumn 1 assessment (one paper)
• Autumn 2 assessment (PPE two papers)
• Spring 1 and 2 assessments (final tests before public exams)
Half Term Foundation Units of Work Higher Units of Work

Autumn 1

• Quadratic equations: expanding and factorising

• Collecting data
• Cumulative frequency, box plots and histograms
• Quadratics, expanding more than two brackets, sketching graphs, graphs of circles, cubes and quadratics
Autumn 2
• Circles, cylinders, cones and spheres
• Fractions and reciprocals
• Similarity and congruence in 2D
• Circle theorems
• Circle geometry
• Changing the subject of formulae (more complex), algebraic fractions, solving equations arising from algebraic fractions, rationalising surds, proof
Spring 1
• Similarity and congruence in 2D
• Vectors Rearranging equations, graphs of cubic and reciprocal functions and simultaneous equations
• Vectors
• Reciprocal and exponential graphs; Gradient and area under graphs
Spring 2
• Revision
• Direct and inverse proportion
Summer 1
• Revision
• Revision
Summer 2
• Public exam
• Public exam

### GCSE Statistics

Students learn the EDEXCEL Higher tier scheme of work.

### Year 11

Term Unit(s) of Work Summary
Autumn 1
• Calculating moving averages, seasonal and cyclic trends
Students will learn how to display data on a time series graph and use seasonal variation, moving averages and make predictions.
Autumn 2
• Simple probability and theoretical probability
Students will learn how to use probability rules to support them in investigations  and relating the information to exam questions.
Spring 1
• Interpreting index numbers in context and simple calculations
• Binomial distribution
Students will learn how index and weighted index numbers are using in contexts. Also, interpreting data related to rates of change over time.
Spring 2
• Normal distribution and standardised scores
• Quality assurance
Students will learn how to compare different data sets using appropriate calculated or given measure of spread.  Know the characteristics of the normal distribution and standardised score.
Summer 1
• Revision for exam