Mathematics

Grade 7

The topics listed below cover the curriculum for Grade 7.  At VES we have end of topic tests to check a student’s understanding and offer further guidance where necessary throughout the academic year.  The main whole school summative assessments take place at the end of term 1 and term 3. However, in Mathematics we also test at the end of term 2.  These tests will be based on what they have learned to that point. Classes are seated based on the result of these tests alongside a variety of different factors including effort, behaviour, punctuality etc.  All tests in Grade 7 are non calculator tests but some class topics may involve the use of a calculator. The students should also have a geometry set but will be given notice of when this is required for class work.  In addition, a one month long project will be set during term one. For further information and details regarding the topics listed below, please see the attached scheme of work. Additional questions are available in the Grade 7 textbook.

Term 1

Use positive integer powers and associated real roots

Apply the four operations with decimal numbers

Check calculations using approximation, estimation or inverse operations

Compare and order integers, fractions and decimals

Use geometric notation for angles, lengths, equal lengths and parallel lines

Investigate properties of shapes

Collect like terms, expand brackets and substitute numbers into formulae

Term 2

Write a quantity as a fraction or percentage of another

Solve problems using ratio

Use term-to-term rules and recognise arithmetic progressions

Solve problems using the metric system

Solve problems using angles at a point or on a line

Use fractions, mixed numbers and reasoning to interpret percentage change

Term 3

Solve linear equations and inequalities in one unknown

Calculate perimeter, area, surface area and volume

Solve geometrical problems on the x and y axes, and use for transformations

Represent data on a suitable graph

Solve problems using measures of location

Grade 8

The topics listed below cover the curriculum for Grade 8.  At VES we have end of topic tests to check a student’s understanding and offer further guidance where necessary throughout the academic year.  The main whole school summative assessments take place at the end of term 1 and term 3. However, in Mathematics we also test at the end of term 2.  These tests will be based on what they have learned to that point. Classes are seated based on the result of these tests alongside a variety of different factors including effort, behaviour, punctuality etc.  All tests in Grade 8 are non calculator tests but some class topics may involve the use of a calculator. The students should also have a geometry set but will be given notice of when this is required for class work.  In addition, a one month long project will be set during term two. For further information and details regarding the topics listed below, please see the attached scheme of work. Additional questions are available in the Grade 8 textbook.

Term 1

Convert numbers into standard form and vice versa

Apply the four operations with negative numbers

Explore ways of representing and enlarging 2D and 3D shapes

Calculate theoretical probabilities for single events

Apply the multiplication, division and power laws of indices

Factorise an expression by taking out common factors

Change the subject of a formula when two steps are required

Term 2

Convert between terminating decimals and fractions

Find a relevant multiplier when solving problems involving proportion

Find and use the nth term for a linear sequence

Explore geometrical situations involving parallel lines

Solve problems involving percentage change, including original value problems

Solve linear equations with unknowns on both sides

Term 3

Apply the formulae for circumference and area of a circle

Plot and interpret graphs of linear functions

Use understanding of experiments and probability to make predictions

Construct and interpret frequency tables, histograms, and scatter diagrams

Interpret, analyse, and compare data sets using measures of center and spread

Grade 9

The IGCSE Mathematics course starts in Grade 9 and continues over a 3 year period.  The course content will be delivered using book 1 and book 2 as provided by EDEXCEL for IGCSE Mathematics.  At VES we have end of topic tests to check a student’s understanding and offer further guidance where necessary throughout the academic year.  At the end of each unit there is a revision and exam practice section for students to help them prepare for the upcoming topic test. Starred exercises work towards grades 6 to 9 in the text books.  The main whole school summative assessments take place at the end of term 1 and term 3. However, in Mathematics we also test at the end of term 2. These tests will be based on what they have learned to that point.  Classes are setted based on the result of these tests alongside a variety of different factors including effort, behaviour, punctuality etc. All tests in Grade 9 are calculator tests. The students should also have a geometry set but will be given notice of when this is required for class work.  For further information and details regarding the full IGCSE curriculum see the attached specification.

Term 1

Calculate with fractions and mixed numbers. Work with the order of operations and significant figures.

Simplify algebraic expressions, expand brackets, and solve equations.

Find the gradient of a straight line, plot straight-line graphs, and interpret conversion graphs.

Understand and use polygon angle sums, use ruler and compass methods to make basic constructions, and use triangle similarity properties.

Use set notation and venn diagrams to represent sets.

Calculate with numbers in standard form and work out percentage increase or decrease.

Apply operations to algebraic fractions, use rules of indices, and solve inequalities in one variable.

Find the equation of a straight line, sketch graphs using the gradient and intercepts, and solve simultaneous equations graphically.

Term 2

Apply Pythagoras' theorem and circle theorems to solve geometric diagrams.

Construct and interpret pie charts, frequency polygons, and two-way tables. Work with averages.

Use prime factors to find HCF and LCM, solve problems involving HCF and LCM, and work with ratios.

Factorise simple algebraic expressions, algebraic fractions, and solve simultaneous equations by substitution or elimination methods.

Draw and interpret distance-time and speed-time graphs.

Use the tangent ratio to solve right triangles and use angles of elevation and depression.

Estimate the mean and range from a grouped frequency table and identify the modal class and class containing the median.

Term 3

Find a final or original amount after percentage change, including for compound interest. Solve real-life problems involving percentages.

Substitute numbers into formulae and change the subject of a formula.

Draw and interpret graphs of quadratic functions.

Use the trigonometric ratios to solve problems.

Find the interquartile range of discrete data and work with cumulative frequency tables and diagrams.

Science

At Key stage 3, we follow the British national curriculum for science which is a high-quality science education that provides the foundations for understanding the world through the specific disciplines of biology, chemistry and physics. Science has changed our lives and is vital to the world’s future prosperity, and all pupils are the taught essential aspects of the knowledge, methods, processes and uses of science. Through building up a body of key foundational knowledge and concepts, pupils are encouraged to recognize the power of rational explanation and develop a sense of excitement and curiosity about natural phenomena. They also begin to build on their prior scientific knowledge from primary  schooling to start to understand how science can be used to explain what is occurring, predict how things will behave, and analyse causes. 

Aims:  The national curriculum for science aims to ensure that all pupils: 

  • develop scientific knowledge and conceptual understanding through the specific disciplines of biology, chemistry and physics 
  • develop understanding of the nature, processes and methods of science through different types of science enquiries that help them to answer scientific questions about the world around them 
  • are equipped with the scientific knowledge required to understand the uses and implications of science, today and for the future