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Mathematics - Year 9

Mathematics - Year 9

Click here to return to our Mathematics curriculum home page

Below you will find more specific information about the curriculum in mathematics for Year 9 students, explaining to you what students will learn, when, why and how. There is also information about how parents/carers are able to support students in their learning, extra-curricular opportunities in this subject and how mathematics links to other subjects and the wider world.

Subject Key Concepts

                                                    #1 Number             #2 Algebra           #3 Ratio, Proportion and Rates of Change

                                                          #4 Geometry and Measure        #5 Probability               #6 Statistics


Please click here for Subject Key Concepts.

Curriculum Overview for the year

Term

Topic / Key Concepts

 

Specific Knowledge

 

Class

9M1 9M2

9M3 9M4

9M5A 9M5B 9M7

9M8

Autumn Term

ALGEBRA 1 AND 2

·   Linear sequences

·   Quadratic sequences

·   Functions

 

NUMBER 1

·   Fractions

·   Percentage of an amount

·   Percentage increase/decrease

·   Simple and compound interest

·   Direct and inverse proportion

·   Ratio

·   Rounding

 

ALGEBRA 3

·  Substitution

·  Expanding brackets

·  Simplifying expressions

·  Factorising expressions

·  Solving linear equations

·  Simultaneous equations

·  Representing and solving inequalities

 

ALGEBRA 1 AND 2

·   Linear sequences

·   Quadratic sequences

·   Functions

 

NUMBER 1

·   Fractions

·   Percentage of an amount

·   Percentage increase/decrease

·   Direct and inverse proportion

·   Ratio

·   Order of operations (BIDMAS)

·   Rounding

 

ALGEBRA 3

·  Substitution

·  Expanding brackets

·  Simplifying expressions

·  Solving linear equations

·  Simultaneous equations

·  Solving inequalities

·  Rearranging equations

 

ALGEBRA 1 AND 2

·   Linear sequences

·   Functions

 

NUBER 1

·   Ordering decimals

·   Fractions

·   Ratio

·   Direct and inverse proportion

 

ALGEBRA 3

·  Substitution

·  Solving linear equations

·  Conversion graphs

 

GEOMETRY AND MEASURES 1

·  Angle properties of parallel and intersecting lines

·  Angles properties of triangles and polygons

·  Parts of a circle

·  Constructions

 

ALGEBRA 1 AND 2

·   Mental addition and subtraction

·   Multiplication facts up to 10x10

·   Sequences

·   Coordinates

 

NUMBER 1

·   Rounding

·   Decimals

·   Fractions

·   Percentages

·   Ratio

·   Direct proportion

 

ALGEBRA 3

·  Mental multiplication and division

·  Substitution

·  Collecting like terms

·  Solving linear equations

 

GEOMETRY AND MEASURES 1

·  Symmetry

·  Properties of triangles

·  Angles

·  Constructing triangles

·  Parts of a circle

Spring Term

GEOMETRY AND MEASURES 1

·  Pythagoras’ theorem

·  Constructions

·  Loci

·  Congruent triangles

·  Angles

·  Circle theorems

 

STATISTICS 1

·  Scatter diagrams

·  Two-way tables

·  Cumulative frequency graphs

·  Interpret diagrams and graphs

·  Grouped data

 

GEOMETRY AND MEASURES 2

·  Similar triangles

·  Convert between area and volume measures

·  Volume of a prism

·  Area and circumference of a circle

·  Arc length and sector area

·  Measures of speed

 

NUMBER 2

·  Standard form

·  Upper and lower bounds

·  Recurring decimals

 

ALGEBRA 4

·   Laws of indices

·   Negative and fractional indices

·   Graphs of linear, quadratic, cubic and reciprocal functions

GEOMETRY AND MEASURES 1

·  Angle properties of parallel and intersecting lines

·  Angles properties of triangles and polygons

·  Parts of a circle

·  Constructions and loci

·  Pythagoras’ theorem

 

STATISTICS 1

·  Scatter diagrams

·  Two-way tables

·  Pie charts

·  Mode, mean, median and range

·  Stem and leaf

·  Interpret diagrams and graphs

·  Grouped data

 

GEOMETRY AND MEASURES 2

·  Area of triangles and parallelograms

·  Convert between area and volume measures

·  Area and circumference of a circle

·  Surface area and volume of cubes and cuboids

·  Volume of prisms

·  Arc length and sector area

·  Compound measures (speed, density)

 

STATISTICS 1

·  Frequency diagrams

·  Line graphs

·  Two-way tables

·  Pie charts

·  Scatter diagrams

·  Travel graphs

 

GEOMETRY AND MEASURES 2

·  Area of triangles and parallelograms

·  Area and circumference of a circle

·  Surface area and volume of cubes and cuboids

·  Mid-points of line segments

 

NUMBER 2

·  Multiplying and dividing by 10, 100 and 1000

·  Multiplying and dividing decimals

·  Rounding

·  Calculator problems

 

STATISTICS 1 AND 3

  • Data collection
  • Frequency diagrams
  • Two-way tables
  • Pie charts
  • Mode, median, mean and range
  • Stem and leaf diagrams

 

GEOMETRY AND MEASURES 2

  • Unit conversions
  • Perimeter and area

 

NUMBER 2

  • Order, add and subtract negative numbers
  • Multiplying and dividing by 10, 100 and 1000
  • Long multiplication and division
  • Adding and subtracting decimals
  • Rounding

 

Summer Term

STATISTICS 2

·  Interpret probability statements

·  Tree diagrams

·  Relative frequency

 

GEOMETRY AND MEASURE 3

·  Transformations

·  Trigonometry

·  Bearings

 

GEOMETRY AND MEASURE 4

·  Area, perimeter and volume

·  Symmetry

 

ALGEBRA 5

·  Solve quadratic equations

·  Change the subject of a formula

·  Evaluate algebraic formulae

 

NUMBER 2

·  Multiplying and dividing by 10, 100 and 1000

·  Rounding

·  Calculator problems

·  Best buy problems

·  Upper and lower bounds

·  Standard form

 

ALGEBRA 4

·   Prime factor decomposition

·   Highest common factor, lowest common multiple

·   Laws of indices

·   Graphs of linear functions

·   Simultaneous equations

 

STATISTICS 2

·  Interpret probability statements

·  Sample space diagrams

·  Relative frequency

 

GEOMETRY AND MEASURE 3

·  Transformations

·  Symmetry

·  Scale drawings

·  Drawing 3D objects

·  Congruent triangles

·  Trigonometry

 

ALGEBRA 5

·  Expanding brackets

·  Factorising linear expressions

·  Change the subject of a formula

·  Plot graphs of linear functions

 

GCSE PREPARATION WORK AFTER SUMMER EXAMS

ALGEBRA 4

·   Prime factor decomposition

·   Highest common factor, lowest common multiple

·   Square and cube roots

·   Graphs of linear functions

 

STATISTICS 2

·  Interpret probability statements

·  Sample space diagrams

·  Relative frequency

·  Mean, mode, median and range

·  Stem and leaf diagrams

 

GEOMETRY AND MEASURE 3

·  Transformations

·  Symmetry

·  Scale drawings

 

ALGEBRA 5

·  Collecting like terms

·  Expanding and simplifying expressions

·  Plot graphs of linear functions

 

NUMBER 3

·  Percentage of an amount

·  Percentage increase/decrease

·  Percentage profit/loss

 

GCSE PREPARATION WORK AFTER SUMMER EXAMS

 

ALGEBRA 4

  • Multiples and factors
  • Highest common factor, lowest common multiple
  • Prime and square numbers
  • Square and cube roots

 

STATISTICS 2

  • Probability scale
  • Experimental probability

 

GEOMETRY AND MEASURE 3

  • Scale drawings
  • Estimating measures
  • Reading scales
  • Volume and surface area of cuboids

 

ALGEBRA 5

  • BIDMAS
  • Expanding brackets
  • Real life graphs

 

GCSE PREPARATION WORK AFTER SUMMER EXAMS

 

Useful documents:

Please click here for a PDF of curriculum overview. 

While this information covers a broad range of areas, please do get in touch with the Year 9 Subject Lead Mr Foley if you have any questions.

Please click on the questions below to find out more.

How are groups organised?

The year group is sorted into ability groups based on year 8 end of year exam results and classwork and tests done over the year.

What characteristics does a successful mathematics student have?

A mathematical student will be inquisitive looking for links between different topics and how they link to other subjects. They will enjoy problem solving and always be willing to give a question a go and persevere even if it does not go right the first time.

How will students learn at this level?

Mathematics is taught using a variety of techniques including the use of calculators but also written methods. There are opportunities for students to work individually, in pairs and in small groups. Students are expected to be able to explain their methods and show workings to support their answers.

How will students’ learning be assessed at this level?

Students have a test approximately one per half term covering three modules of work at a time.  They also have homework set weekly.

When do key assessments take place?

In June, soon after half term Year 9 students sit summer exams covering all of the work done during the year.

How can parents/carers support students’ learning?

  • Monitor that your child is doing homework set to the best of their ability and is being proactive when they do not understand.
  • When a test/exam is coming up, there will always be revision sheets provided. Make sure that your child uses them when revising, possibly redoing questions they have had difficulty with.
  • Encourage them to work on My Maths or Maths Watch to look up topics they need more support or further practice on.

What equipment do students need for this subject?

  • Scientific calculator – can be purchased from school
  • Pair of compasses
  • Protractor
  • Ruler
  • Pen
  • Pencil

How does mathematics link to other subjects?

Science and Technology - Science and Maths are intimately connected, particularly in fields such as chemistry, astronomy and physics. Students who can't master basic arithmetic skills will struggle to read scientific charts and graphs. More complex Maths such as geometry and algebra can help students solve scientific problems. Maths is also important in practical sciences, such as engineering and computer science. Students may have to solve equations when writing computer programs and figuring out algorithms.

Humanities - Humanities often require students to review charts and graphs that provide data or information. Knowledge of basic mathematical terms and formulas makes statistical information accessible.

The Arts - Musical rhythm often follows complex mathematical series, and Maths can help students learn the basic rhythms of dances used in ballet and theatre performances. Art thrives on geometry, and students who understand basic geometric formulas can craft impressive art pieces.

What websites or resources may be helpful to support students’ learning?

MyMaths

BBC Bitesize for Key Stage 3

vle.mathswatch.co.uk

CGP Key Stage 3 Workbooks and Revision Guides

What extra-curricular or enrichment opportunities are available for students in mathematics at this level?

  • Lunchtime Maths club
  • Hertfordshire Maths Challenge

What sort of careers can mathematics lead to?

  • Business decision making;
  • Engineering and construction;
  • Accountancy and other financial services;
  • Statistical analysis e.g. business, sport etc.;
  • Encryption coding;
  • Security;
  • Visual presentation of data-media services;
  • Catering industry and a myriad of other careers.

What does student’s work look like in mathematics at this level?

Students mostly work in squared exercise books or on worksheets stuck into the books.

How does mathematics support a broad and balanced curriculum, meeting the needs of all students, and developing traditional core skills?

Broad and balanced curriculum - Maths links to multiple subject areas using a range of skills. We deal with all major concepts of maths in every term. Many of the topics are covered in real world concepts.

Meeting the needs of all students - The students are taught in ability groups within their bands. There are different resources used according to ability.

Traditional core skills - Non-calculator techniques are emphasised throughout and mental problem solving skills are encouraged. Students are taught how to use a calculator, checking the output makes sense rather than just blindly believing the answer given.

How does this subject promote creativity, critical thinking, practice, perseverance and resilience, and making links?

Creativity and critical thinking - Problem solving and making links between different concepts.

Practice, perseverance and resilience - We actively encourage students to revise for tests and exams and to always have a go at a question

Making links - Where possible, links are made between different subject areas such as Geography and Science.

How does this subject encourage enrichment and the development of cultural capital, deep learning, and inclusivity?

Enrichment and cultural capital - Links are made to a variety of other subjects from science, economics, music, art.

Deep learning - Topics are presented in different contexts to encourage the use of different strategies and deeper understanding

Inclusivity - The context of questions is closely monitored and adapted if necessary