Blackpool Skills Academy
Mathematics Foundation Curriculum
A 39-week spiral curriculum providing targeted numeracy support and a clear bridge into the main Mathematics curriculum.
Additional numeracy support
Building secure foundations through place value
Some students join Blackpool Skills Academy with gaps in the early mathematical knowledge needed to calculate confidently and solve everyday problems.
One of the most important foundation concepts is place value. Students need to understand that the position of a digit determines its value before they can confidently work with larger numbers, calculations, decimals and money.
Our Foundation Mathematics curriculum revisits these essential concepts regularly in short one-to-one sessions, helping students develop accuracy, confidence and independence to help their progress in the main Mathematics curriculum.
Watch the video for an introduction to place value and how the position of each digit changes its value.
Our curriculum model
Targeted support from each student’s starting point
Closing significant numeracy gaps
This curriculum is designed for students who are not yet able to access the main Mathematics curriculum because of significant gaps in numeracy.
Students progress through stages according to assessment and demonstrated understanding rather than age or year group.
The programme provides a structured bridge into the academy’s Stage 1–5 Mathematics curriculum.
Progression is achieved through increasingly secure number knowledge, more accurate calculation, greater independence and the ability to apply mathematics in practical situations.
The learning journey
Progression Through Stages
Stage A
Recognise
Recognise basic numbers, symbols, amounts and mathematical patterns.
Supported learningStage B
Calculate
Complete straightforward calculations using guided methods and practice.
Guided practiceStage C
Apply
Use mathematical knowledge independently in familiar problems and situations.
Independent practiceStage D
Solve
Use reasoning and multi-step methods to solve increasingly complex problems.
Mathematical reasoningStage E
Work Independently
Apply functional mathematics confidently in everyday, curriculum and workplace contexts.
Curriculum readinessThe 39-week programme
Curriculum Overview
Autumn 1
Number Foundations
How does understanding numbers help us solve mathematical problems with confidence?
During this half term, students develop the essential building blocks of number by strengthening their counting skills, place value understanding and number fluency. Through practical activities, visual representations and repeated retrieval practice, they learn to recognise patterns within the number system, compare and order numbers accurately and develop efficient mental strategies. These secure foundations prepare students to tackle calculations confidently and apply mathematics successfully across the wider curriculum and in everyday life.
| Week | Topic | Stage A | Stage B | Stage C | Stage D | Stage E |
|---|---|---|---|---|---|---|
| 1 | Baseline Assessment | Complete an initial numeracy assessment to identify current number knowledge, calculation skills and mathematical understanding with support. | Demonstrate current calculation and number skills through guided assessment activities to establish an accurate starting point. | Apply existing mathematical knowledge independently during assessment activities, identifying strengths and areas for development. | Demonstrate secure mathematical reasoning across familiar topics whilst identifying areas requiring further practice. | Complete a diagnostic assessment confidently, demonstrating readiness to apply mathematics independently across the curriculum. |
| 2 | Counting and Number Recognition | Recognise, read and count numbers accurately using practical equipment, number lines and visual representations. | Count forwards and backwards confidently whilst matching numerals to quantities and recognising number patterns. | Compare numbers accurately using mathematical language such as greater than, less than and equal to, explaining simple reasoning. | Order numbers confidently using place value knowledge and justify the position of numbers on a number line. | Apply secure number knowledge independently when comparing, ordering and solving practical number problems in everyday contexts. |
| 3 | Place Value | Recognise the value of tens and ones using practical resources and place value charts. | Read, write and partition numbers involving hundreds using secure place value understanding. | Apply place value knowledge to numbers involving thousands by recognising the value of each digit. | Compare and explain the value of digits within increasingly complex numbers using mathematical reasoning. | Apply place value confidently when estimating, calculating and solving real-life mathematical problems requiring accurate number understanding. |
| 4 | Number Sequences | Continue simple counting patterns by recognising the next number in familiar sequences. | Identify missing numbers within increasing, decreasing and patterned number sequences. | Create number sequences by recognising patterns, rules and relationships between numbers. | Explain the mathematical rule governing a sequence using appropriate mathematical vocabulary. | Apply understanding of number patterns confidently when solving unfamiliar sequence and reasoning problems. |
| 5 | Comparing Numbers | Identify which numbers are bigger or smaller using practical equipment and visual representations. | Order groups of numbers accurately from smallest to largest and largest to smallest. | Compare numbers confidently using the symbols >, < and = whilst explaining choices. | Explain comparisons using place value knowledge and mathematical vocabulary to justify reasoning. | Apply comparison skills independently when interpreting numerical information in everyday mathematical situations. |
| 6 | Number Fluency | Recall basic number facts through supported practice and practical activities. | Complete simple mental calculations accurately using efficient counting strategies. | Apply a range of mental calculation strategies confidently to solve straightforward mathematical problems. | Select the most efficient calculation strategy when solving increasingly complex number problems. | Demonstrate secure number fluency by solving calculations accurately, efficiently and independently across a range of mathematical contexts. |
Autumn 2
Calculation Foundations
How can accurate calculation skills help us solve everyday mathematical problems?
During this half term, students develop confidence with the four operations and mental calculation strategies that form the foundation of numeracy. They learn to select appropriate methods for addition, subtraction, multiplication and division before applying these skills to increasingly complex calculations and real-life mathematical situations. Regular retrieval and practical activities strengthen fluency, accuracy and mathematical reasoning whilst preparing students for more advanced number work.
| Week | Topic | Stage A | Stage B | Stage C | Stage D | Stage E |
|---|---|---|---|---|---|---|
| 7 | Addition | Add small numbers by counting on using practical equipment, number lines and visual representations. | Calculate addition questions accurately using mental methods and simple written calculations. | Apply efficient written addition methods to increasingly challenging calculations involving larger numbers. | Solve multi-step addition problems by selecting appropriate strategies and checking the accuracy of answers. | Apply addition confidently to solve practical financial, workplace and everyday mathematical problems independently. |
| 8 | Subtraction | Subtract small numbers by counting back using practical resources and number lines. | Calculate subtraction questions accurately using mental strategies and written methods where appropriate. | Apply formal written subtraction methods confidently to increasingly complex calculations. | Solve multi-step subtraction problems by selecting efficient methods and explaining mathematical reasoning. | Apply subtraction confidently within practical situations including money, measurement and workplace calculations. |
| 9 | Multiplication | Recognise multiplication as repeated addition using objects, arrays and practical activities. | Recall and use multiplication facts confidently to solve straightforward calculations. | Apply written multiplication methods accurately when solving calculations involving larger numbers. | Solve multiplication problems by selecting appropriate methods and applying mathematical reasoning. | Apply multiplication independently within practical contexts including scaling, quantity calculations and workplace mathematics. |
| 10 | Division | Share objects equally into groups and recognise simple division using practical resources. | Recall division facts and solve straightforward division calculations accurately. | Apply written division methods to increasingly complex calculations involving larger numbers. | Solve division problems by selecting appropriate strategies and explaining mathematical reasoning. | Apply division confidently within practical contexts such as sharing quantities, recipes, measurements and workplace calculations. |
| 11 | Four Operations | Identify whether a calculation requires addition, subtraction, multiplication or division. | Calculate accurately using the appropriate operation for straightforward questions. | Select the most efficient calculation method when solving a variety of mathematical problems. | Complete multi-step calculations by combining different operations and checking the reasonableness of answers. | Solve real-life mathematical problems independently by selecting appropriate operations, methods and strategies confidently. |
| 12 | Mental Maths Strategies | Recall number bonds and basic number facts to support simple calculations. | Complete mental calculations accurately using efficient counting and recall strategies. | Apply a range of mental calculation strategies confidently when solving everyday mathematical problems. | Select and justify the most efficient mental strategy for increasingly challenging calculations. | Demonstrate fluent mental calculation skills by solving problems quickly, accurately and independently across a range of mathematical . |
| 13 | Numeracy Assessment and Progress Review | Complete a supported assessment covering number recognition, counting and simple calculations, then identify one area of progress with guidance. | Demonstrate secure use of basic number facts and straightforward calculations, reviewing errors with teacher support and setting a realistic next target. | Apply number and calculation skills independently across a range of questions, explaining methods and identifying strengths and areas for development. | Solve increasingly complex and multi-step problems, evaluate the efficiency of chosen methods and use assessment evidence to plan specific improvements. | Demonstrate confident, independent numeracy across number and calculation topics, critically review performance against starting points and set precise targets for progression into more advanced mathematics. |
Spring 1
Fractions, Decimals and Percentages
How do fractions, decimals and percentages help us understand quantities and solve real-life problems?
During this half term, students develop their understanding of fractions, decimals and percentages by exploring how these different forms represent the same mathematical ideas. Through practical activities involving money, measurement and everyday contexts, they learn to compare, calculate and convert between fractions, decimals and percentages whilst developing the confidence to apply these skills in functional and real-life situations.
| Week | Topic | Stage A | Stage B | Stage C | Stage D | Stage E |
|---|---|---|---|---|---|---|
| 14 | Understanding Fractions | Recognise common fractions such as ½, ¼ and ¾ using practical equipment, diagrams and everyday objects. | Compare simple fractions by identifying which represents the larger or smaller amount. | Recognise and calculate equivalent fractions using visual models and simple calculations. | Calculate fractions of amounts accurately using efficient mathematical methods. | Apply fraction knowledge confidently when solving practical problems involving measures, quantities and everyday situations. |
| 15 | Fractions in Everyday Life | Identify fractions within familiar situations such as food, shapes, money and measurement. | Use simple fractions accurately when sharing, measuring and comparing quantities. | Solve practical problems involving fractions by selecting appropriate methods and representations. | Explain how fractions are used to solve everyday mathematical problems using clear reasoning. | Apply fractions independently within functional contexts including recipes, measurements, budgeting and workplace situations. |
| 16 | Decimals | Recognise and read simple decimal numbers using place value knowledge. | Read, write and compare decimal numbers accurately using mathematical vocabulary. | Compare and calculate with decimals confidently using appropriate written and mental methods. | Solve decimal calculations involving money and measures whilst explaining mathematical reasoning. | Apply decimal knowledge confidently when solving practical financial and measurement problems independently. |
| 17 | Money and Decimals | Recognise coins, notes and simple money amounts using pounds and pence. | Calculate totals accurately by adding money amounts using practical examples. | Calculate change confidently using mental and written calculation strategies. | Apply budgeting skills to solve increasingly realistic financial problems involving income and spending. | Use money and decimal calculations independently to make informed financial decisions in everyday and workplace contexts. |
| 18 | Percentages | Recognise that percentages represent parts of a whole and identify common examples such as 50% and 100%. | Calculate simple percentages of familiar quantities using practical methods and visual models. | Calculate percentages accurately using efficient mathematical strategies. | Solve percentage problems involving discounts, increases and real-life financial situations. | Apply percentage knowledge confidently when solving functional mathematical problems involving finance, statistics and everyday decision making. |
| 19 | Fractions, Decimals and Percentages Connections | Recognise that fractions, decimals and percentages can represent the same value. | Convert between simple fractions, decimals and percentages using supported methods. | Solve problems by selecting the most appropriate fraction, decimal or percentage representation. | Explain the mathematical relationships between fractions, decimals and percentages using accurate reasoning. | Apply secure understanding of fractions, decimals and percentages confidently across a range of practical, financial and workplace situations. |
Spring 2
Measures and Time
How can measuring accurately help us solve practical problems in everyday life and work?
During this half term, students develop the practical mathematical skills needed for everyday living and employment. They learn to measure length, mass and capacity accurately, tell the time confidently and apply money and budgeting skills to realistic situations. Through practical investigations and measuring projects, students strengthen their ability to choose appropriate units, perform calculations accurately and apply mathematics confidently in real-world contexts.
| Week | Topic | Stage A | Stage B | Stage C | Stage D | Stage E |
|---|---|---|---|---|---|---|
| 20 | Length and Distance | Measure the length of everyday objects using standard units and simple measuring equipment with support. | Compare lengths accurately and record measurements using the correct units. | Convert between common units of length whilst solving straightforward measurement calculations. | Solve practical problems involving length and distance by selecting appropriate measuring methods and units. | Apply measurement skills confidently in practical situations such as construction, sport and everyday problem solving. |
| 21 | Mass and Weight | Read simple scales and measure the mass of everyday objects using appropriate equipment. | Compare the weight of different objects using standard units and mathematical vocabulary. | Convert between common units of mass whilst completing practical calculations accurately. | Solve multi-step problems involving mass by selecting efficient calculation strategies. | Apply knowledge of mass confidently within workplace, catering and everyday mathematical contexts. |
| 22 | Capacity and Volume | Measure the capacity of containers using practical equipment and standard units. | Compare different capacities accurately using litres and millilitres. | Convert between units of capacity whilst solving practical measurement problems. | Solve increasingly complex problems involving capacity and volume using efficient mathematical methods. | Apply capacity calculations confidently in practical situations such as catering, science and workplace tasks. |
| 23 | Time | Read analogue and digital clocks to tell the time accurately. | Read and record times confidently using both 12-hour and 24-hour clocks. | Calculate simple time intervals and durations using appropriate methods. | Solve problems involving timetables, elapsed time and planning activities using mathematical reasoning. | Apply time calculations confidently when interpreting schedules, planning work and solving real-life problems. |
| 24 | Money and Budgeting | Recognise coins, notes and simple prices whilst making straightforward purchases. | Calculate the total cost of items accurately using practical shopping activities. | Compare prices and make informed choices by applying calculation skills confidently. | Create simple budgets by planning spending and solving financial problems. | Apply budgeting skills independently to manage realistic financial situations and make informed spending decisions. |
| 25 | Practical Measuring Project | Complete supported measuring activities using appropriate equipment and simple recording methods. | Carry out guided measuring tasks accurately whilst selecting suitable units and equipment. | Complete an independent practical measuring activity using accurate calculations and recording methods. | Plan and complete a multi-step measuring project, selecting appropriate mathematical strategies throughout. | Apply measurement, calculation and reasoning skills confidently within a realistic workplace project demonstrating functional mathematical competence. |
| 26 | Numeracy Assessment and Progress Review | Complete supported assessment activities covering fractions, measures and time, identifying personal progress with guidance. | Demonstrate secure understanding of spring topics through guided assessment and review strengths and next steps. | Apply mathematical knowledge independently across a range of practical numeracy tasks, explaining methods confidently. | Solve increasingly complex mathematical problems, evaluate chosen strategies and identify specific targets for improvement. | Demonstrate confident, independent application of spring numeracy skills whilst critically reviewing progress and preparing for functional mathematical applications. |
Summer 1
Geometry and Data
How can geometry and data help us understand, organise and solve real-world problems?
During this half term, students develop their understanding of shape, space and data handling through practical mathematical investigations. They learn to identify and describe shapes, use position and direction accurately, calculate perimeter and area and collect, present and interpret data. Through increasingly independent mathematical reasoning, students apply geometry and data skills to everyday situations, vocational contexts and problem-solving activities.
| Week | Topic | Stage A | Stage B | Stage C | Stage D | Stage E |
|---|---|---|---|---|---|---|
| 27 | Shapes | Recognise and name common 2D and 3D shapes using practical resources and everyday examples. | Describe the properties of common shapes by identifying sides, corners, faces and angles. | Compare shapes accurately using their mathematical properties and explain similarities and differences. | Explain how the properties of shapes determine their classification using appropriate mathematical vocabulary. | Apply knowledge of shape confidently when solving practical problems involving design, construction and everyday mathematics. |
| 28 | Position and Direction | Follow simple directions using positional language such as left, right, forwards and backwards. | Use simple coordinates and positional language to locate objects accurately. | Interpret positions, routes and simple coordinate grids using mathematical vocabulary confidently. | Solve problems involving position, movement and direction by selecting appropriate strategies. | Apply positional knowledge confidently when interpreting maps, plans and workplace layouts. |
| 29 | Perimeter and Area | Measure the sides of regular shapes accurately using appropriate measuring equipment. | Calculate the perimeter of regular shapes using addition and measurement skills. | Calculate the area of simple shapes using appropriate mathematical methods. | Solve practical problems involving perimeter and area by selecting efficient calculation strategies. | Apply perimeter and area confidently within practical situations such as construction, flooring, decorating and planning tasks. |
| 30 | Collecting Data | Gather simple data using tally charts, counting and observation. | Record collected data accurately using tables and simple recording methods. | Organise data clearly using appropriate mathematical formats and headings. | Interpret collected data by identifying patterns, trends and key findings. | Evaluate data critically by explaining conclusions and considering the reliability of the information collected. |
| 31 | Tables and Charts | Read simple tables and identify key pieces of information accurately. | Create straightforward tables using correctly organised data. | Present information clearly by constructing simple charts and graphs. | Interpret charts by comparing values, identifying trends and explaining mathematical findings. | Evaluate information presented in tables and charts, using evidence to justify conclusions and support decision making. |
| 32 | Mathematical Vocabulary | Recognise and correctly use common mathematical words and symbols during practical activities. | Explain mathematical terms accurately using examples from recent learning. | Use mathematical vocabulary confidently when solving problems and explaining methods. | Apply mathematical language precisely when reasoning, justifying answers and discussing strategies. | Communicate mathematical thinking confidently using accurate terminology appropriate to Functional Skills and the wider mathematics curriculum. |
Summer 2
Functional Numeracy
How can confident numeracy skills prepare us for everyday life, further education and employment?
During this final half term, students apply the mathematical knowledge and skills developed throughout the year to authentic workplace and everyday situations. They use numeracy to solve shopping, budgeting, construction, catering and employment-related problems before completing an independent numeracy project and final assessment. The curriculum prepares students to transition confidently into the main Mathematics curriculum, Functional Skills and future employment.
| Week | Topic | Stage A | Stage B | Stage C | Stage D | Stage E |
|---|---|---|---|---|---|---|
| 33 | Numeracy for Shopping | Recognise prices and identify the value of everyday items using pounds and pence. | Compare prices accurately and calculate simple shopping totals. | Calculate totals and change confidently when purchasing multiple items. | Budget for purchases by comparing value, calculating discounts and making informed choices. | Evaluate value for money independently, applying numeracy confidently to realistic shopping and financial decisions. |
| 34 | Numeracy for Work | Measure simple quantities and follow straightforward workplace instructions with support. | Read workplace instructions accurately and complete routine calculations. | Calculate quantities confidently using appropriate mathematical methods in vocational contexts. | Solve workplace problems involving measurement, quantity and calculation using mathematical reasoning. | Apply numeracy independently to realistic workplace scenarios, demonstrating confidence and accuracy expected in employment. |
| 35 | Numeracy for Construction | Measure simple materials accurately using appropriate tools and standard units. | Calculate basic quantities of materials for straightforward construction tasks. | Estimate quantities and measurements required for practical construction activities. | Solve practical construction problems involving measurement, quantity and cost calculations. | Demonstrate workplace-ready numeracy by applying accurate measurement, estimation and costing skills confidently. |
| 36 | Numeracy for Catering | Measure ingredients accurately using practical equipment and simple recipes. | Scale recipes using straightforward multiplication and division calculations. | Calculate ingredient quantities confidently for different numbers of servings. | Solve practical catering problems involving scaling, costing and measurement using mathematical reasoning. | Apply numeracy confidently within realistic catering scenarios, demonstrating the accuracy expected in professional kitchens. |
| 37 | Independent Numeracy Project | Complete a supported numeracy project using practical mathematical skills with guidance. | Complete a guided project by selecting appropriate mathematical methods and recording results accurately. | Plan and complete an independent numeracy project demonstrating secure calculation and problem-solving skills. | Complete an extended project by selecting efficient strategies, evaluating methods and explaining mathematical reasoning. | Lead an independent project demonstrating confident functional numeracy, accurate reasoning and readiness for the next stage of learning. |
| 38 | Transition Assessment | Complete a supported numeracy assessment demonstrating progress in number, calculation and practical mathematics. | Demonstrate secure mathematical understanding through guided assessment activities across the year's learning. | Apply mathematical knowledge independently across a range of assessment tasks and explain methods clearly. | Demonstrate secure mathematical reasoning by solving increasingly complex problems and evaluating chosen strategies. | Complete the transition assessment confidently, demonstrating readiness for the Stage 1–5 Mathematics curriculum and Functional Skills pathways. |
| 39 | Final Assessment and Transition Planning | Complete a supported numeracy assessment demonstrating progress in counting, number recognition and simple calculations whilst identifying one personal success with guidance. | Complete the final assessment confidently, demonstrating secure calculation skills, reflecting on progress and agreeing realistic next steps for continued mathematical development. | Apply mathematical knowledge independently across number, calculation and functional numeracy tasks, evaluating strengths and identifying areas for further improvement. | Demonstrate secure mathematical reasoning through multi-step problems, compare progress from the initial baseline and set ambitious targets for continued success. | Demonstrate confident, independent mathematical understanding across the full curriculum, critically evaluate personal progress and produce a clear transition plan showing readiness for the Stage 1 to 5 Mathematics curriculum and future Functional Skills study. |
What successful progress looks like
Exit Expectations
Stage A
Count confidently using whole numbers and recognise common mathematical symbols and vocabulary. Complete simple calculations using practical equipment and supported mathematical strategies. Measure, compare and recognise basic mathematical concepts within everyday situations. Begin applying number knowledge to familiar real-life activities with increasing confidence.
Stage B
Use the four operations accurately to solve straightforward calculations. Read time, measure accurately and use money confidently in familiar situations. Complete simple mathematical problems using appropriate methods and mathematical vocabulary. Apply numeracy skills with increasing independence across practical classroom activities.
Stage C
Apply number, calculation and measurement skills independently across a range of mathematical topics. Use fractions, decimals and percentages confidently within familiar contexts. Select appropriate mathematical methods when solving everyday problems. Explain mathematical thinking using appropriate vocabulary and accurate calculations.
Stage D
Apply mathematical reasoning to solve increasingly complex and multi-step problems. Use mathematics confidently within practical situations involving measurement, finance, time and data. Select efficient calculation strategies and justify solutions using mathematical evidence. Demonstrate increasing independence when applying mathematics across the wider curriculum.
Stage E
Access the main Stage 1 to 5 Mathematics curriculum successfully. Demonstrate readiness for Functional Skills and GCSE pathways through secure mathematical understanding. Apply mathematics confidently and independently within everyday life, vocational learning and workplace contexts. Communicate mathematical reasoning clearly whilst selecting efficient strategies to solve unfamiliar problems.
The purpose of the programme
Curriculum Intent
The Mathematics Foundation Curriculum provides targeted support for students with significant gaps in numeracy, enabling them to develop the confidence, fluency and problem-solving skills required to access the wider curriculum successfully. Students progress according to their assessed mathematical understanding rather than age or year group, ensuring teaching is closely matched to individual need.
Students follow a carefully sequenced programme that develops number fluency, calculation accuracy, mathematical vocabulary, reasoning and functional problem solving. Through explicit teaching, practical activities and regular opportunities to apply mathematics in authentic contexts, students build secure mathematical understanding whilst developing increasing independence.
Knowledge and mathematical skills are revisited throughout the curriculum, enabling students to strengthen their understanding of number, calculation, fractions, measures, geometry and data whilst applying these skills to shopping, budgeting, workplace mathematics and vocational learning. Learning progresses systematically from recognising numbers and completing simple calculations to solving multi-step problems and applying mathematics confidently within real-life situations.
By the end of the programme, students demonstrate the mathematical knowledge, practical numeracy skills and confidence required to transition successfully into the Stage 1 to 5 Mathematics curriculum, Functional Skills qualifications and future education, employment and everyday life.