# Maths

## Maths Learning Journey's

## Maths Golden Concept Documents

## Maths Knowledge Organisers Term 1

Mathematics Curriculum Statement

In Mathematics, our intention at Maplefields is to give our pupils the opportunity to:

- Become fluent in the fundamentals of Mathematics, including through varied and frequent practice with increasingly complex problems over time, so that pupils develop conceptual understanding of the ability to recall and apply knowledge rapidly and accurately.
- Promote a sense of independence through the mastery of Basic Skills and concepts, which enable pupils to take on increasingly complex tasks or problems with little or no support.
- Problem solve by applying Mathematics to a variety of routine and non-routine problems in an array of contexts, with increasing sophistication, including breaking down problems in to a series of smaller and simpler steps and persevering in seeking solutions to these problems.
- To develop communication skills through Mathematical reasoning. Enable pupils to follow a line of enquiry, to identify patterns and relationships, to develop an argument or proof that is justified through Mathematical language.
- Build self-esteem and confidence through a structure and routine of sequential learning that builds on basic skills. To allow experimentation and experience to inform judgements that also link to real world concepts.
- Incorporate cross-curricular skills such as reading and comprehension through school agreed programmes (For example RWI, Fresh Start and GL Assessment)

To allow pupils to experience learning in different environments, including working as groups and using communication skills to solve problems.

KS1:

Years 1 & 2

Students will begin to learn Maths skills linked to three strands of Mathematics (Number, Measurement, and Geometry). Topics include Recognising numbers, Counting and place value, doubling and halving, times tables, Mental addition and subtraction, multiplication and division, Sequencing, Addition and subtraction, working with money/amounts (more or less), working with fractions (Identifying & Comparing), 2D shapes and Pattern, Movement and Space, Units of measurement (Length and height), working with time, weight and mass, Volume and Capacity, 3D shapes, Position and direction.

Main Textbook: A variety of resources are used to support teaching KS1, alongside this practical and active activities are used to support learning.

KS2:

Years 3 & 4

Students will begin to study Maths skills linked to four strands of Mathematics (Number, Measurement, Geometry and Statistics). Topics include number and place value, addition subtraction, multiplication and division, fractions, decimals, money, mass, length, time, volume and capacity, perimeter and area, properties of shape, position and direction, tally charts, pictograms and bar charts.

Main textbook: Collins Connect Busy Ants Framework – Years 3& 4

Years 5 & 6

Students will consolidate their Maths skills from KS2 and continue to work to four strands of Mathematics (Number, Measurement, Geometry and Statistics). Topics include further work on number and place value, addition subtraction, multiplication and division, fractions, decimals, money, mass, length, time, volume and capacity, perimeter and area, properties of shape, position and direction, tally charts, pictograms and bar charts. Students will also begin to study percentages, decimals and fractions, ratio and proportion, algebra.

Main textbook: Collins Connect Busy Ants Framework – Years 5 & 6

KS3:

Year 7

Students will study a broad spectrum of topics from the six strands of mathematics (Number, Algebra, Geometry, Measurement, Ratio and Statistics). Topics include sequences and rules, area and perimeter, properties of 3D shapes, fractions and decimals, terms and expressions, reading data from tables and graphs, data collection, square and triangular numbers, measuring and drawing angles, percentages, introduction to ratio and proportion, the four averages, symmetry and tessellation. Students will also be able to develop the fundamentals of mathematics through mathematical reasoning, problem solving and spoken language.

Main Textbooks: Collins connect book 1.1, 1.2 and 1.3.

Year 8

Students will build on their experiences in year 7 and develop further skills in problem solving and mathematical reasoning. Students will also cover topics such as highest common factors and lowest common multiples, negative numbers, angles facts, parallel lines, properties of quadrilaterals, adding and subtracting fractions, multiplying and dividing fractions, percentage increase and decrease, algebraic shorthand, like terms and simplification, converting units of measurement, area and perimeter of compound shapes, coordinates in all four quadrants, constructing triangles, bearings, puzzle mapping, order of operations, comparison of data, interpreting pie charts, frequency tables and drawing frequency diagrams.

Main Textbook: Collins connect book 2.1, 2.2, and 2.3.

Year 9

Students will consolidate their studies from years 7 and 8 and prepare for GCSE examinations. They will learn about sequences from patterns, nth term of a sequence, combined function mappings, graphs of functions, BIDMAS, adding and subtracting decimals, multiplying and dividing decimals, percentage change, constructing pie charts, interpreting graphs and diagrams, two way tables, constructing frequency diagrams, formulae, constructing equations, straight line graphs, alternate and corresponding angles, angles in triangles and quadrilaterals, interior angles of polygons, the circle and its parts, calculating and estimating probability, volume and surface area, powers and roots and prime factor trees.

Main Textbook: Collins connect book 3.1, 3.2 and 3.3.

KS4:

Year 10 (first year GCSE)

Students will study a recommended series of topics from Number, Algebra, Geometry, Statistics and Probability that are based on recommended coverage from the EDEXCEL linear GCSE programme of study. Topics include sampling methods, data collection, two way tables, sources of bias, types of data, area and perimeter of 2D shapes, volume and surface area of 3D shapes, manipulation of fraction, decimals and percentages, powers and roots including cubed numbers, simplifying expressions, solving equations, equations with brackets, solving equations with unknowns on both sides, factorising, calculating the assumed mean, quartiles and the interquartile range, probability tree diagrams, conditional probability, multiplying and dividing in index form, transformations, trigonometry, scatter graphs, nets plans and elevations, mutually exclusive outcomes and independent events.

Main Textbook Collins EDEXCEL specification A foundation/higher textbook

Year 11 (second year GCSE)

Students will continue to build on their studies from year 10, complete a mock exam assessment and develop their knowledge leading to their exams in May/ June. Topics covered will include solving angle problems including exterior angles of polygons, expanding double brackets, quadratic expressions, theoretical probability and expected frequency, percentage multipliers through percentage increase and decrease, multiplying and dividing fractions, converting mixed numbers to improper fractions and vice versa, gradients of straight lines, multiplying and dividing negative numbers, 3D coordinates, volume of prisms, stem and leaf diagrams, box and whisker plots, cumulative frequency graphs, midpoints, changing the subject of the formula, Pythagoras theorem, quadratic graphs, compound measures, reciprocals, factors and multiples, circles and tangents, equations and inequalities, find the mean of grouped data, surds, trial and improvement and linear sequences.

Main Textbook Collins EDEXCEL specification A foundation/higher textbook

Pupils will also have the opportunity to achieve functional skills qualifications relating to their ability. This will range from Entry level 1-3 to a level 1/2.

KS5 (Post 16)

Students will have the opportunity to follow the two-year GCSE course in order to re-sit GCSE examinations to improve on previous grades. Functional Skills pathways are also on offer to work towards Level 1 or Level 2 qualifications in support of prospective future employers.

Year 12

Students will study a recommended series of topics from Number, Algebra, Geometry, Statistics and Probability that are based on recommended coverage from the EDEXCEL linear GCSE programme of study. Topics include sampling methods, data collection, two way tables, sources of bias, types of data, area and perimeter of 2D shapes, volume and surface area of 3D shapes, manipulation of fraction, decimals and percentages, powers and roots including cubed numbers, simplifying expressions, solving equations, equations with brackets, solving equations with unknowns on both sides, factorising, calculating the assumed mean, quartiles and the interquartile range, probability tree diagrams, conditional probability, multiplying and dividing in index form, transformations, trigonometry, scatter graphs, nets plans and elevations, mutually exclusive outcomes and independent events.

Main Textbook Collins EDEXCEL specification A foundation/higher textbook

Year 13

Students will continue to build on their studies from year 12, complete a mock exam assessment and develop their knowledge leading to their exams in May/ June. Topics covered will include solving angle problems including exterior angles of polygons, expanding double brackets, quadratic expressions, theoretical probability and expected frequency, percentage multipliers through percentage increase and decrease, multiplying and dividing fractions, converting mixed numbers to improper fractions and vice versa, gradients of straight lines, multiplying and dividing negative numbers, 3D coordinates, volume of prisms, stem and leaf diagrams, box and whisker plots, cumulative frequency graphs, midpoints, changing the subject of the formula, Pythagoras theorem, quadratic graphs, compound measures, reciprocals, factors and multiples, circles and tangents, equations and inequalities, find the mean of grouped data, surds, trial and improvement and linear sequences.

Main Textbook Collins EDEXCEL specification A foundation/higher textbook.