# Mathematics - Year 9

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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.

While this information covers a broad range of areas, please do get in touch with the Subject Leader Miss Cockburn 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.

#### What are the key concepts students will study at this level?

The Key Stage 3 Mathematics course consists of questions covering the following areas:

- Number
- Algebra
- Ratio, proportion and rates of change
- Geometry and measures
- Probability
- Statistics

#### What will students learn at this level?

**Sets 1 and 2: ***(this could be subject to change)*

Term 1 approximately in the middle of Module 4

Term 2 after Module 9

**Sets 3 and 4: ***(this could be subject to change)*

Term 1 approximately at the start of Module 6

Term 2 approximately after Module 11

**Sets 5a, 5b and 7: ***(this could be subject to change)*

Term 1 approximately at the start of Module 6

Term 2 approximately after Module 11

**Set 8: ***(this could be subject to change)*

Term 1 approximately at the start of Module 6

Term 2 approximately after Module 11

## Set 1

Module 1 - Sequences; Inverse functions

Module 2 - Fractions; Percentages, ratio and proportion; Rounding; Gradient of perpendicular lines; Algebraic fractions

Module 3 - Algebraic skills: substituting into expressions, factorising, expanding expressions, simplifying expressions, solving equations; Inequalities: representing inequalities on a number line, solving inequalities and representing inequalities graphically

Module 4 - Pythagoras Theorem (including 3D Pythagoras); Constructions and loci; Congruency; Angles: perpendicular and intersecting lines, interior and exterior angles of polygons; Circle theorems

Module 5 - Graphs and diagrams: drawing conclusions, constructing, interpreting and correlation; Averages

Module 6 - Similar triangles; Comparing similar areas and volumes; Converting between measurements; Circles: circumference, area, length of an arc and area of a sector

Module 7 - Standard Form; Upper and lower bounds; Recurring decimals

Module 8 - Indices; Sketch and interpret graphs: linear, quadratic, cubic and reciprocal functions

Module 9 - Enlargements; Trigonometry; Bearings

After the summer exams GCSE preparation work occurs on the topics solving quadratic equations by factorising, the use of the quadratic formula and completing the square and also changing the subject of a formula.

## Set 2

Module 1 - Sequences

Module 2 - Fractions; Percentages, ratio and proportion; Rounding

Module 3 - Algebraic skills: substituting into expressions, factorising, expanding expressions, simplifying expressions, solving equations; Inequalities: representing inequalities on a number line, solving inequalities

Module 4 - Pythagoras Theorem; Constructions and loci; Congruency; Angles: perpendicular and intersecting lines, interior and exterior angles of polygons; Circle theorems

Module 5 - Graphs and diagrams: drawing conclusions, constructing, interpreting and correlation; Averages

Module 6 - Similar triangles; Converting between measurements; Circles: circumference, area

Module 7 - Standard Form; Upper and lower bounds; Recurring decimals

Module 8 - Indices; Sketch and interpret graphs: linear, quadratic, cubic and reciprocal functions

Module 9 - Enlargements; Trigonometry; Bearings

After the summer exams GCSE preparation work occurs on the topics solving quadratic equations by factorising, the use of the quadratic formula and completing the square and also changing the subject of a formula.

## Sets 3 and 4

Module 1 - Sequences

Module 2 - Fractions; Percentages, ratio and proportion; Rounding

Module 3 - Algebraic skills: substituting into expressions, factorising, expanding expressions, simplifying expressions, solving equations; Inequalities: representing inequalities on a number line and solving inequalities

Module 4 - Loci; Angles: perpendicular and intersecting lines, interior and exterior angles of polygons; Circles and Pythagoras Theorem

Module 5 - Graphs and diagrams: drawing conclusions, constructing, interpreting and correlation; Averages

Module 6 - Compound measures; Converting between area measurements; Volume and surface area

Module 7 - Rounding; Standard Form

Module 8 - Indices; Linear functions; Simultaneous equations

Module 9 - Probability

Module 10 - Enlargements; Symmetry; Congruency; Trigonometry

Module 11 - Algebra -multiplying out brackets, factorising, simple rearranging the subject of a formula questions, nth term of quadratic sequences and plotting straight line graphs.

After the summer exams GCSE preparation work occurs on the topics plotting quadratic and cubic graphs, expanding double brackets, solving quadratic equations by factorising and also further work on changing the subject of a formula.

## Sets 5A, 5B and 7

Module 1 - Sequences

Module 2 - Decimals; Fractions; Percentages, ratio and proportion

Module 3 - Substitution; Linear equations; Interpreting direct proportion graphs

Module 4 - Angles: perpendicular and intersecting lines, interior and exterior angles of polygons

Circles

Module 5 - Graphs and diagrams: drawing conclusions, constructing, interpreting and correlation

Module 6 - Area, surface area and volume

Module 7 - Rounding

Module 8 - Multiples and factors; Straight lines

Module 9 - Probability; Averages

Module 10 - Enlargements; Symmetry

Module 11 - Algebraic expressions; Linear functions

Module 12 - Percentages and speed, distance and time formulae

After the summer exams GCSE preparation work occurs on the topics similar triangles, plotting quadratic graphs and factorising expressions.

## Set 8

Module 1 - Sequences; Four rules

Module 2 - Decimals; Rounding; Fractions; Percentages, ratio and proportion

Module 3 Substitution; Linear equations

Module 4 - Angles; Circles

Module 5 - Graphs and diagrams: drawing conclusions, constructing, interpreting and correlation

Module 6 - Converting measurements; Area and perimeter

Module 7 - Rounding; Four rules

Module 8 - Multiples and factors

Module 9 - Probability

Module 10 - Coordinates; Reading scales; Symmetry

Module 11 - BODMAS

After the summer exams GCSE preparation work occurs on the topics of BODMAS, negative numbers, multiples, primes and factors, squares, roots and powers, decimals in context and the 4 rules and long multiplication and division

#### What skills will students develop at this level?

- Develop fluent knowledge, skills and understanding of mathematical methods and concepts
- Acquire, select and apply mathematical techniques to solve problems
- Reason mathematically, make deductions and inferences, and draw conclusions
- Comprehend, interpret and communicate mathematical information in a variety of forms appropriate to the information and context.

#### 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?

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