Mathematics

Subject Leader:  Miss J Barton

Year by Year Synopsis

Throughout their time spent at Manor Croft Academy students are taught Maths in Learning Units that are carefully structured so that concepts are taught in micro-steps to ensure thorough understanding.

Lessons encompass collaboration in groups of four, independent tasks and frequently visiting previous knowledge to ensure a holistic approach to learning. 

Previous topics are visited every lesson in the form of Numeracy Ninjas. This is a series of daily quick fire questions which enables students to increase fluency in topics that will later enable them to problem solve. As students progress they receive different coloured belts that they can use to track their progress. At the end of the term students that have made the most progress will be awarded the Grand Master Ninja belt!

Learning Cycle

All lessons are taught using the Learning Cycle; this is comprised of:

Connect – revisiting previous learning and building on it to secure understanding

Describe – discussing new concepts as a group to facilitate a deeper understanding

New Learning – the introduction of a new concept

Challenge – looking at the same concept in another context, or an exam style question

Closing the gap – making sure misconceptions are addressed

Demonstrate – independent work to illustrate the progress made in a lesson (based on exam style questions)

Students become well acquainted with the learning cycle during Year 7 and understand the types of learning in the different stages. This is followed consistently in every year group.

Scheme of Work

Students follow different Schemes of Work during their time in Maths and the Scheme of Work is being continually developed to ensure that it meets the demand of the new GCSE specifications.

Students in Year 7 are taught a mastery scheme of work that combines both fluency, reasoning and an inquisitive approach to learning.

Students in Year 8/9/10 follow a series of Learning Units that break topics down into micro-steps that ensure deep understanding. The Demonstrate component of the lesson is marked by teachers on a lesson by lesson basis so that the Connect matches up to what students need to learn next. Students’ progress in these topics is additionally tracked in topic tests that occur after learning. Year 10 also participate in mock exams.

Option Maths is additional Maths for students in Year 10 that will enable them extra time to grasp key skills.

Students in Year 11 are taught on a closing the gap basis. Students have regular mock examinations which highlight key areas that need to be taught. Their results are tracked so that intervention can be put into place imminently. Students participate in regular quick questioning in the form of Numeracy Ninjas.

Homework

Year 7/ 8 students are set Extended Learning Goals each half term.  This is an academy wide approach to homework to make students work more independently. These are a range of different tasks to enhance students’ understanding of the topics covered in lesson. They are updated to match what students are learning about in lesson.

Year 9/10/11 are set homework weekly by their main teacher.

Assessment

In Year 7/10 each student is assessed at the end of each unit, generally in the penultimate week of each half term.

In Year 8/9 students take part in pre and post assessment for each learning unit so that students can reflect on the progress that they have made in that topic.

In Year 11 students have regular mock examinations that are used to close gaps in previous knowledge and making students aware of areas of success and areas that they need to develop.

Student progress in all year groups is closely monitored to ensure students are working towards their target grades. This is done using a Red, Amber, Green system. Where possible intervention is put into place for any students not on track to meet their individual target.

ICT Facilities

The school uses the following ICT programmes to provide students an alternative approach to working hard:

My Maths  - https://www.myMaths.co.uk/

Times Table Rockstars - https://ttrockstars.com/

Maths Watch  - https://www.Mathswatchvle.com/

The following are used for homework and in lesson. Students should have access to these anywhere there is internet access.

Break Down of KS3 Scheme of Work

Year 7:

Topics Covered:

Unit 1: Decimals, Multiplication, Division, Powers of 10, Addition and Subtraction

Unit 2: Fraction of amounts, ordering fractions, equivalent and simplifying fractions, converting between decimals and percentages

Unit 3: Add and Subtract fractions, multiply and divide fractions, mixed numbers and improper fractions

Unit 4: Inequalities on a number line, Solving equations, Algebra and Sequences

Unit 5: Area and Perimeter of shapes, including circles and trapeziums, Angles in triangles and polygons, co-ordinates

The Scheme of Learning followed in year 7 is the ‘Maths Mastery Pathway’. This aims to fully develop each skill covered before the class moves on to the next topic.

Each student is assessed at the end of each unit, generally in the penultimate week of each half term. The maximum mark per test is 50.

Each half term, students are set Extended Learning Goals (ELG’s) to be completed at home. These are a range of different tasks to enhance students’ understanding of the topics covered in lesson.

Year 8:

Topics covered:

Learning Unit 1: Decimals, Area, Perimeter and Volume, Algebra

Learning Unit 2: Fractions, Pie charts, Probability and Angles

Learning Unit 3: Percentages, Averages and Graphs

Learning Unit 4: Transformation of shapes, further angles, Solving equations and straight-line graphs

Learning Unit 5: Highest Common Factor (HCF), Lowest Common Multiple (LCM), ratio and proportion, powers and indices.

Each Student is assessed at the beginning and the end of each Learning Unit. Progress is tracked by comparing the % scores from the two tests for each Learning Unit.

Each half term, students are set Extended Learning Goals (ELG’s) to be completed at home. These are a range of different tasks to enhance students’ understanding of the topics covered in lesson.

Year 9:

Topics covered:

Learning Unit 1: Multiplication, Division, Area and perimeter, standard form, Pythagoras Theorem

Learning Unit 2: Percentages, Interest, Scatter graphs, Data, Averages

Learning Unit 3: Algebra, Graphs, Transformation of shapes, Sequences

Learning Unit 4: Fractions, Angles, Pie Charts, Probability

Learning Unit 5: Factors, Multiples, Prime and Square numbers, Indices, Ratio and Proportion, Real-life Graphs

Breakdown of KS4 Scheme of Work

Higher Tier

Learning Unit 1

-Fractions, decimals and percentages
-Recurring decimals
-Calculations with percentages
-Calculations with ratio and proportion
-Scale drawings and maps
-Conversion graphs
-Ratio problem solving

Learning Unit 2
-Symmetry
-Angles in polygons including proofs -Algebra and geometry problem solving
-3D shapes, including plans and elevations
-Constructions and loci
-Congruent and similar shapes
-Vectors
-Geometric problem solving

Learning Unit 3
- Understanding of straight line graphs
-Midpoints and lengths of line segments
-Equation of a line
-Gradients of parallel and perpendicular lines
-Graphs of different functions
-Theoretical probability
-Combined probability

Learning Unit 4
-Area and perimeter for polygons
-Introduction to circles
-Accuracy of measurement
-3D shapes (nets, volume, reverse questions)
-Right angled triangles (Pythagoras)
-Trigonometry to find missing angles and lengths in right angled triangles

Learning Unit 5
-Inequalities (linear and quadratic)
-Factorisation, and completing the square to solve quadratics
-Describing and sketching quadratic graphs
-Solving quadratics using the quadratic equation
-Linear simultaneous equations
-Solving equations graphically
-Solving simultaneous equations with both linear and quadratic equations
-Equation of a circle

Learning Unit 6
-Expansion of three brackets
-Solving cubics with iterative methods
-Direct and Indirect proportion
-Repeated percentage change
-Kinematics basics

Learning Unit 7
-Circle theorems, use and proof to solve problems
-Find the equation of a tangent at any given point
-Apply trigonometry to calculate area and angles in non-right angle triangles
-Solve bearings, geometrical or 3D contextual problems 

Learning Unit 8 
-Graph of sinx, cox and tanx; knowledge of trigonometric values and how to derive them
-Magnitude and period of graphs, and transformations
-Manipulating surds including rationalising the denominator
-Algebraic fractions
-Random sampling and frequency tables
-Ability to plot and interpret various statistical graphs
-Ability to make comparisons using IQR 

Foundation Tier

Learning Unit 1
-HCF, LCM;
-Fractions and calculations with fractions
-Ordering fractions

-Fractions, decimals and percentages
-Calculations with percentages

Learning Unit 2
-Properties of symmetry
-Angles (measuring, knowledge of angles with parallel lines)
-Polygons (definitions, ability to calculate areas, understanding of properties)
-Description of 3D solids using vertices, face and edges
-Solve problems involving plans and elevations
-Construction of 30, 45, 60 and 90 degree angles, perpendicular bisectors and angle bisectors
-Congruence and similar shapes
-Use of vectors to describe journeys

Learning Unit 3
- Generating, comparing and calculating the nth term of arithmetic sequences
-Recognise other sequences that are geometric or have reoccurring patterns (e.g. Fibonacci)
- Write algebraic expressions for perimeter and angles and solving
-Solving equations with x on both sides with both positive and negative answers
- Data collection and representation, being able to calculate averages
-Calculate averages and range from a frequency table, make comparisons between sets of data

Learning Unit 4
-Be able to use metric units and make sensible estimates for liquids and solids
-Solve inequalities using a number line and on a graph
-Simple straight line graphs
-Understanding the formula for y = mx + c
-Find the line between two given co-ordinates
-Drawing lines in the form y = mx + c and ax + by = c

Learning Unit 5
- Transformations, including enlargement, symmetry, translation, rotation
-Be able to interpret relative frequency from  a table
-Apply concepts of basic probability to situations such as rolling a dice or throwing a coin
-Looking at the concept of independent and dependent events
-Using a tree diagram to calculate probability of an event

Learning Unit 6
- To be able to problem solve using ratio
-To understand the concept of proportion and use it to calculate the best buy
-Use ratio to convert between different units
-Use the SDT and DMV relationship in calculations
-To be able to problem solve using percentages
-To know and describe parts of a circle and calculation the area and circumference
-To be able to calculate the arc length and the sector area
- To be able to calculate the surface area of a cylinder
-Calculate the volume of pyramids and cones and understand their relationship between surds and cylinders. 

Learning Unit 7
-To explore and use Pythagoras theorem
-To use Pythagoras on a co-ordinate grid to find the distance between two points
-To apply Pythagoras in 3D
-To use SOHCAHTOA to calculate missing angles
-To understand the idea of a reciprocal
-To use the rules of indices

Learning Unit 8
-
To be able to plot quadratic graphs and recognise their symmetry
-To be able to factorise into two brackets and recognise difference of two squares
-To be able to solve quadratic equations using factorising
-To know the difference between equation, identity and formula
-Relate graphs to real life, including reciprocal graphs
-Simple use of proof to show things about consecutive, odd and even numbers.