Mathematics

Curriculum Intent

The Mathematics Department aims to provide all students with a rewarding and enjoyable experience of mathematics. We will prepare students to become confident, numerate individuals who are able to deal with all aspects of mathematics in their chosen career and in all aspects of their adult life.

This will be accomplished through our commitment to excellent teaching, a well-designed curriculum with an interesting variety of lessons to motivate and engage all students. We have high expectations of all students so that they will recognise and achieve their full potential. We hope that students will develop their own skills in analysis, reasoning, creativity, collaboration and self-evaluation so that they can meet the mathematical problems they face with thoughtfulness and enthusiasm.

Mathematics at Werneth School is an exciting and interesting subject which is related to the world around us. We have adopted a ‘mastery approach’, which means that when a concept has been mastered students will then solve complex problems and apply to real life scenarios to develop depth of understanding. A 5 year scheme builds skills, year on year, to enable students to become fluent in maths and have the ability to apply what they know to unfamiliar areas of the curriculum; an essential life skill. Units are taught in six week blocks where students' knowledge is regularly evaluated. There is a final summative assessment at the end of the unit.

In our classrooms, students experience a variety of activities including problem solving, group work and investigations, alongside more traditional consolidation, and practice. We are a well-resourced department of 10 specialist teachers with access to many dedicated resources such as Sparx maths. All of these are available to support the student’s independent learning outside the classroom.

Curriculum Features

To become fluent in numerate techniques that support good progress in mathematics and are essential life skills for be prepared for further education and working life
To develop the oracy skills and use of technical language in the subject so that students can articulate their thoughts and provide reasoning for their work
To provide deep learning of mathematical concepts through mastery learning activities throughout the five year curriculum
To enhance students knowledge of mathematics in the real world by providing contextual learning experiences such as learning compound percentages by studying mortgages
To provide learners the opportunity to study mathematics further through additional curricular opportunities in statistics and further mathematics.
To build mathematical resilience to support problem solving throughout the curriculum and develop that as a skill which can be used cross curriculum
A curriculum that is designed for students to learn to their ability as well as aspiring to improve throughout

Curriculum Overview

Year 7

Autumn

Spring

Summer

Area of study:

Addition and its applications

Subtraction and its applications

Multiplication and its applications

Division and its applications

Fractions, decimals and percentages

Angles and measuring

What should they know?

How to add numbers including decimals, negatives and fractions

How to use place value as a tool to manipulate and identify numbers

How to subtract numbers including decimals, negatives and fractions

Can use place value as a tool to manipulate and identify numbers

How to subtract multiply numbers including decimals, negatives and fractions

Can combine previous skills alongside applications of multiplication

How to subtract division numbers including decimals, negatives and fractions

Can combine previous skills alongside applications of multiplication

Can confidently work with numbers presented in either fractional, decimal or percentage form as well as changing between forms

The importance of angles and their uses including the rules that govern them and where those rules were postulated from

The importance of units of measure and how and why we convert between different systems

What should they be able to do?

Be able to apply the above skills to functional questions including applications such as working with money, timetables and algebraic expressions

To utilise these skills for geometrical purposes such as perimeter and angles

Be able to apply the above skills to functional questions including applications such as working with temperatures and understanding debt

To utilise these skills for geometrical and working with inverse operations

Be able to apply the skills of multiplication to a variety of topics such as solving equations

To apply the knowledge of multiplication to real world scenarios such as finding areas

Be able to apply the skills of division to a variety of topics such as sharing into quantities

To apply the knowledge of division to real world scenarios such as sequences that occur in nature

Confidently work with numbers presented in either fractional, decimal or percentage form as well as changing between forms

Can manipulate the forms of FDP to perform calculations including percentage changes

Can confidently draw and measure angles

Can use the rules of angles to find missing angles around points, on lines and within triangles

Can confidently convert between units and have an understanding of the parameters of units for measures

Key vocabulary

Sum

Fraction

Decimal

Value

Negative

Perimeter

Difference

Fraction

Decimals

Value

Negative

Debt

Product

Area

Simplify

Expressions

Estimate

Geometric

Arithmetic

Sequence

Percentage

Fraction

Decimal

Increase

Decrease

Change

Obtuse

Reflex

Acute

convert

Assessment

To ensure consistency of assessment across the year for students we use the following model

In each of the above units students will have the opportunity to complete a series of progress checks. These are aimed at checking students' understanding and they will complete a relevant piece of improvement work based on teacher feedback - These assessments are based on student learning so carry no score. An example can be seen in the attached powerpoint
In the first terms in Autumn, Spring and Summer students will sit an end of unit examination which is based on their current learning
In the second terms in Autumn and Spring students will sit a progress check, this assessment is based on current and previous learning. The results of these and the above assessments are then used to provide you with a grade that your son/daughter will have on their report home
In the last summer term students will sit their end of year exam which is a more extensive assessment consisting of a non-calculator and a calculator exam as above these are graded using GCSE requirements and the results reported home

Year 8

Autumn

Spring

Summer

Area of study:

Sequences and Equations

Indices

Constructions

Ratio and Scale

2D shapes

Data handling

What should they know?

The use of sequences and the rules that differing sequences use

How algebra can be applied to questions to find unknowns in a variety of contexts

To connect the idea of multiplication to the use of index notation

To apply index notation to simplify algebra of increasing complexity

How to create accurate diagrams including the use of angles to identify locations

To develop angles knowledge into polygons

The use of ratio to share amounts into unequal parts

Using ratio and scales to create diagrams and using maps

To explore the properties of 2D shapes including finding the area of shapes such as trapeziums and compound shapes

To understand the use of surface area in real life contexts

The different statistical diagrams that can be used in maths including their uses and limitations

How different statistical procedures can be applied to a data set to provide conclusions and which are most appropriate

What should they be able to do?

To find the nth term of a sequence and to use this to find terms in a sequence or whether a number is in a sequence

To solve equations with up to three operations including basic applications of this skill with perimeter and angles

To be able to explain why the rules of indices work and then use said rules in a variety of algebraic simplifications

To use the above rules to expand and factorise single brackets as a key algebraic skill

To be able to draw a triangle accurately using a compass and protractor and then to use this skills to identify regions using Loci

To understand the rules of internal and external polygon angles and apply these to complex shape problems

Able to take a ratio and simplify it into its simplest form.

Share a given amount into a ratio or find that total given a part amount

To use a scale on a map or diagram to find real life dimensions

To be able to find the area of two dimensional shapes including circles

To be able to calculate a surface area and then use this in a functional context to find required amount of materials and or cost

To be able to draw and interpret a range of statistical diagrams including pie charts and various graphs

To be able to find averages of data and choose a correct average for the data set including reasoning

Key vocabulary

Sequence

Rule

Reverse

Operation

Index

Indices

Simplification

Evaluate

Bisector

Loci

External

Internal

Scale

Ratio

Share

Area

Trapezium

parallelogram

Compound

Surface area

Pie chart

Mode

Mean

Range

Median

Assessment

To ensure consistency of assessment across the year for students we use the following model

In each of the above units students will have the opportunity to complete a series of progress checks. These are aimed at checking students' understanding and they will complete a relevant piece of improvement work based on teacher feedback - These assessments are based on student learning so carry no score. An example can be seen in the attached powerpoint
In the first terms in Autumn, Spring and Summer students will sit an end of unit examination which is based on their current learning
In the second terms in Autumn and Spring students will sit a progress check, this assessment is based on current and previous learning. The results of these and the above assessments are then used to provide you with a grade that your son/daughter will have on their report home
In the last summer term students will sit their end of year exam which is a more extensive assessment consisting of a non-calculator and a calculator exam as above these are graded using GCSE requirements and the results reported home

Year 9

Autumn

Spring

Summer

Area of study:

Principles of algebra

Graphs and coordinates

Proportional reasoning

Reasoning with number

probability

Transformations

What should they know?

Complex algebraic techniques involving binomials

Solving more complex equations such as those with multiple unknowns of either the same or different variables

Exploring the principles of graphs including how coordinates work and finding missing vertices

using graphs of real life contexts to find rates of change

Exploring proportional relationships and how changing operations effect results

Working with compound units in a variety of contexts

Students expand on knowledge of percentages and how to use them in different contexts such as bank accounts

Exploration of standard form and how it used to identify large and small numbers

Students explore the use of probability and how it is calculated in theory and then its limitations in real world scenarios

Students study the use of Venn diagrams and how they are used to display information

Students explore the use of transformations to move shapes around a coordinate grid.

Similar shapes and their properties including the connection to enlargement

What should they be able to do?

Students can expand and factorise quadratic expressions

Students can solve equations and inequalities that involve multiple operations

Students can solve a simultaneous equation to find two unknowns in a variety of ways

Students can plot and calculate coordinates in two and three dimensions

Students can utilise skills with linear graphs including plotting, finding the equation of and interpreting those that have context

Able to find missing amounts using both direct and inverse proportional reasoning

Can apply the above skills to working out best buys, currency conversions and recipe scaling

Can calculate speed, density and pressure

Students can expand their knowledge of percentages to using multipliers and then utilise this to find compound percentages and reverse percentages

Students can put numbers into and out of standard form including performing four operations on numbers in standard form

Able to calculate a probability from a variety of scenarios

Can calculate a relative frequency and then relate this to what would happen in reality

Can calculate the probability of multiple events happening

Can populate a venn diagram and calculate a given probability

Students are able to perform reflections, rotations and translations as well as being able to describe an already given transformations

Students will be able to enlarge a shape on a coordinate grid including from a given point

Students will be able to give the conditions under which shapes are similar and find missing sides in said shapes

Key vocabulary

Factorise

Solve

Binomial

Quadratic

Coordinate

Axis

Gradient

Intercept

Speed

Density

Pressure

Conversion

Standard form

Multiplier

Compound

Interest

Probability

Exclusive

Mutually

Independent

Union

Interception

Reflect

Rotate

Translate

Enlarge

Similar

Scale Factor

Congruent

Assessment

To ensure consistency of assessment across the year for students we use the following model

In each of the above units students will have the opportunity to complete a series of progress checks. These are aimed at checking students' understanding and they will complete a relevant piece of improvement work based on teacher feedback - These assessments are based on student learning so carry no score. An example can be seen in the attached powerpoint
In the first terms in Autumn, Spring and Summer students will sit an end of unit examination which is based on their current learning
In the second terms in Autumn and Spring students will sit a progress check, this assessment is based on current and previous learning. The results of these and the above assessments are then used to provide you with a grade that your son/daughter will have on their report home
In the last summer term students will sit their end of year exam which is a more extensive assessment consisting of a non-calculator and a calculator exam as above these are graded using GCSE requirements and the results reported home