# Mathematics - Year 9

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?

• 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