Functional Skills Maths Level 1
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Pass Functional Skills offer the best revision materials for the Functional Skills Maths Level 1 course, for all exam boards. This dedicated page provides access to free functional skills maths level 1 revision notes, video explanations, practice questions and worksheets with mark schemes.
Functional Skills Maths Level 1 Revision
Numbers and place value.
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Ordering Numbers
Addition and subtraction, multiplication, rounding and estimating, percentages, fractions, decimals and percentages, problems involving money, using length, area and volume in calculations, plans and elevations, maps and scale drawings, angles and bearings, data tables, line graphs, grouped data, mean and range, probability.
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FS Maths Level 1 Topic Assessment
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Functional Skills Maths Level 1 Subject Knowledge Assessment
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Number and algebra
- The Number System and Place Value
- Calculations and Numerical Methods
- Fractions, Decimals, Percentages, Ratio and Proportion
- Properties of Numbers
- Patterns, Sequences and Structure
- Algebraic expressions, equations and formulae
- Coordinates, Functions and Graphs
Geometry and measure
- Angles, Polygons, and Geometrical Proof
- 3D Geometry, Shape and Space
- Measuring and calculating with units
- Transformations and constructions
- Pythagoras and Trigonometry
- Vectors and Matrices
Probability and statistics
- Handling, Processing and Representing Data
- Probability
Working mathematically
- Thinking mathematically
- Mathematical mindsets
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Problem Solving, Using and Applying and Functional Mathematics
Problem solving.
The problem-solving process can be described as a journey from meeting a problem for the first time to finding a solution, communicating it and evaluating the route. There are many models of the problem-solving process but they all have a similar structure. One model is given below. Although implying a linear process from comprehension through to evaluation, the model is more of a flow backward and forward, revisiting and revising on the problem-solving journey.
Comprehension
Representation.
- Can they represent the situation mathematically?
- What is it that they are trying to find?
- What do they think the answer might be (conjecturing and hypothesising)?
- What might they need to find out before they can get started?
Planning, analysis and synthesis
Having understood what the problem is about and established what needs finding, this stage is about planning a pathway to the solution. It is within this process that you might encourage pupils to think about whether they have seen something similar before and what strategies they adopted then. This will help them to identify appropriate methods and tools. Particular knowledge and skills gaps that need addressing may become evident at this stage.
Execution and communication
During the execution phase, pupils might identify further related problems they wish to investigate. They will need to consider how they will keep track of what they have done and how they will communicate their findings. This will lead on to interpreting results and drawing conclusions.
Pupils can learn as much from reflecting on and evaluating what they have done as they can from the process of solving the problem itself. During this phase pupils should be expected to reflect on the effectiveness of their approach as well as other people's approaches, justify their conclusions and assess their own learning. Evaluation may also lead to thinking about other questions that could now be investigated.
Using and Applying Mathematics
Aspects of using and applying reflect skills that can be developed through problem solving. For example:
In planning and executing a problem, problem solvers may need to:
- select and use appropriate and efficient techniques and strategies to solve problems
- identify what further information may be required in order to pursue a particular line of enquiry and give reasons for following or rejecting particular approaches
- break down a complex calculation problem into simpler steps before attempting a solution and justify their choice of methods
- make mental estimates of the answers to calculations
- present answers to sensible levels of accuracy; understand how errors are compounded in certain calculations.
During problem solving, solvers need to communicate their mathematics for example by:
- discussing their work and explaining their reasoning using a range of mathematical language and notation
- using a variety of strategies and diagrams for establishing algebraic or graphical representations of a problem and its solution
- moving from one form of representation to another to get different perspectives on the problem
- presenting and interpreting solutions in the context of the original problem
- using notation and symbols correctly and consistently within a given problem
- examining critically, improve, then justifying their choice of mathematical presentation
- presenting a concise, reasoned argument.
Problem solvers need to reason mathematically including through:
- exploring, identifying, and using pattern and symmetry in algebraic contexts, investigating whether a particular case may be generalised further and understanding the importance of a counter-example; identifying exceptional cases
- understanding the difference between a practical demonstration and a proof
- showing step-by-step deduction in solving a problem; deriving proofs using short chains of deductive reasoning
- recognising the significance of stating constraints and assumptions when deducing results
- recognising the limitations of any assumptions that are made and the effect that varying the assumptions may have on the solution to a problem.
Functional Mathematics
Functional maths requires learners to be able to use mathematics in ways that make them effective and involved as citizens, able to operate confidently in life and to work in a wide range of contexts. The key processes of Functional Skills reflect closely the problem solving model but within three phases:
- Making sense of situations and representing them
- Processing and using the mathematics
- Interpreting and communicating the results of the analysis
Times Tables
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L1-2 functional maths money and decimal problem solving.
A set of real life problems written for construction students but suitable for any L1-2 Functional Maths students. Covers wages, hire purchase, savings accounts, metric measures, loans, and gas bills! Mapped to the FM criteria and linked to Elizabeth’s FM schemes of work (see below). Mapped to the FM criteria. Could also be printed out as worksheets.
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Functional Skills Maths Level 1. Functional skills maths level 1 online revision, worksheets and practice questions can all be accessed via this dedicated page. Revising for your level 1 maths exam is essential to ensure you pass first time. Use the maths level 1 online resources and prepare for your exam effectively!
Functional Maths - problem solving. Although underpinning knowledge is tested in its own right, problem solving is a core element of Functional Skills mathematics yet should not obscure or add additional mathematical complexity beyond the level of the qualification. Defining problem solving is a challenge but the attributes below are helpful.
A resource I designed to help my L1 Functional Maths learners revise and check on areas they needed to work on. Covers ratio, mean, percentages, problem solving, fractions, area , volume and more! Editor's note Fabulous practice and revision! Fully mapped to the Reformed Functional Maths criteria. If you are a resource contributor, an answer ...
A look at some of the issues that functional skills learners are facing, making sure the learners understand the question and finish by looking at some probl...
L1.3 Multiply and divide whole numbers and decimals by 10, 100, 1000 p21-22. L1.4 Use multiplication facts and make connections with division facts L1.5 Use simple formulae expressed in words for one or two-step operations . p25. L1.6 Calculate the squares of one-digit and two-digit numbers p31-33, 40.
The key processes of Functional Skills reflect closely the problem solving model but within three phases: Making sense of situations and representing them. Processing and using the mathematics. Interpreting and communicating the results of the analysis. Problem solving is at the heart of the NRICH site.
Functional Skills Maths (Levels 1 and 2) learning resources for adults, children, parents and teachers.
Increasing the ingredients in a cake recipe by 1.5 using a fraction wall. Functional Skills Maths (Levels 1 and 2) Problem-solving tools learning resources for adults, children, parents and teachers.
Continuing with the theme of maths, this month we will be looking at problem solving. One of the most common queries we get about Functional Skills maths at Levels 1 and 2 is about the level of language in the assessments and how much literacy is needed to achieve this. An initial piece of research that was carried out looked to unpick this and ...
The learning aims of Functional Skills Maths Level 1 include solving maths problems and decision making. This is to ensure that you're able to apply your maths skills to real-life situations. During your level 1 maths course you'll learn the following; Read, understand and use mathematical information and mathematical terms used at this level.
Functional Skills for Mathematics Level 1 Using numbers and the number system. Subject Content: L 1-1. Read, write, order and compare large numbers (up to one million) ... The world of numbers contains many fascinating patterns and understanding them enables better problem solving strategies. From seeing patterns in the multiples of numbers ...
Functional Skills for Mathematics Level 1 Using numbers and the number system. Subject Content: L 1-13. Read, write, order and compare percentages in whole numbers. ... More advanced problem solving may include percentage change and how it is applied in real life to discounts and interest. A study of the use of percentages in the media can ...
This is a resource I've designed to be a homework/classwork support for L1 Functional Skills maths (reform). Editor's notes A wonderful 104-page compilation of resources covering almost every aspect of Level 1 Reformed Functional Maths. With curriculum mapping and links to further resources. Note this project includes resources from many excellent free web sites - please read the notes on the ...
Problem Solving Plan Here is a five stage plan for problem solving in maths: 9 • Read the question carefully. • Rewrite the question in your own words. • Cross out any unnecessary information. • Underline the important aspects of the question. • Answer the question in stages. One tip is to act as the calculator while a group of ...
10 Times Table Video. 11 Times Table Video. 12 Times Table Video. All Times Tables Video. The Hand Times Tables Trick Video. Times Tables Timed Quiz. Pass your Functional Skills Maths exam with revision resources, videos, exam questions and workbooks. Resources suitable for exams with NCFE, Edexcel, City & Guilds, AQA, Highfield and Open Awards.
Entry Level 1; Entry Level 2; Entry Level 3; Level 1; ... In the UK, Functional Skills Maths courses are designed for learners of various backgrounds and ages who wish to improve their mathematics skills. These courses are particularly suitable for: ... such as managing finances, problem-solving, and decision-making. ...
Functional skills is an alternative pathway to GSCE Maths. There are five different levels of attainment: Entry Level 1. Entry Level 2. Entry Level 3. Level 1. Level 2. Download the DfE - Subject content functional skills: mathematics. A key aim for Functional Skills mathematics specifications is that they enable the student to gain confidence ...
A set of real life problems written for construction students but suitable for any L1-2 Functional Maths students. Covers wages, hire purchase, savings accounts, metric measures, loans, and gas bills! Mapped to the FM criteria and linked to Elizabeth's FM schemes of work (see below). Mapped to the FM criteria. Could also be printed out as worksheets.