OUTSTANDING TEACHING, LEARNING AND ASSESSMENT TECHNICAL SKILLS NATIONAL PROGRAMME Document Name: Functional Skill Level 2 maths Scheme of Work Created by: Graham Howe Managed by In partnership with

Start Date End Date Course Title Functional Skills maths Level 2 Teacher Awarding Body Aims of the Course

• To provide apprentices with the Maths skills and abilities they need to take an active and responsible role in their communities, everyday life, the workplace and their apprenticeship learning programme, and any future educational opportunities that they seek to undertake.

• Enable apprentices to gain the confidence to attempt

to solve a range of problems covering number, measures and data.

• Develop and recognise the ability of apprentices to

apply and transfer skills in ways that are appropriate to their situation.

• To prepare apprentices for further study Maths

courses as necessary. The facilitated online learning programme offers a flexible delivery model allowing apprentices to work in a way, and at times, to suit their work and other commitments. Including a series of webinars over a 12-week period, with sessions offered day, evening and weekends, this model can adapt to both learner and employer needs. Weekly intervention allows for continuous practice in skills encouraging retention of information. Although sessions and resources are not dissimilar to previously offered programmes, they are adapted to webinar scenario – not classroom based – to effectively facilitate learning. With level 1 and level 2 groups integrated, the programme encourages group activity, enables peer learning and support; stretching and challenging apprentices.

Differentiation Differentiation of the subject will depend on a number of factors, these factors include a learner’s familiarity with a situation, its complexity and technical demand, as well as

the ability to resolve an issue or complete a necessary activity independently. The level of demand will vary from a simple discussion or basic multiple choice tasks, through to an extended piece of project work that allows the learner to demonstrate a range of mathematical skills and aptitudes. Activities and tasks will be presented to incorporate a number of different learning styles with writing support frames and individual activities when needed. Assessment for learning (AfL) can take place using a variety of methods:

• Discussion • Verbal Directed Questions • Multiple Choice questions • End of lesson learner survey • Group work/collaborative tasks • Planned class activities • Individual activities

This Scheme of work is the active online classroom version, and adaptations for face-to-face learning for those apprentices who are not able to complete online classrooms can be made available.

Equality and Diversity

• All measures will be taken to embed equality and diversity and prevent discrimination as far as possible.

• Measures will be taken to meet all apprentices’ needs, regardless of age, gender or ethnicity

• To make the environment safe, for all apprentices to progress

• To make reasonable adjustments to accommodate apprentices with learning difficulties or disabilities

• Learning materials will be checked for appropriate images and language

• Inappropriate language / behaviour will be challenged

• Celebrate the diversity of achievement. • Specialist equipment will be made available where

possible, or alternative delivery arrangements if needed

• Opportunities will be taken to adapt lesson content to embed and promote the apprentices’

understanding of the 9 protected characteristics using real life work examples.

Learning Resources

This SOW covers the active online classroom delivery of Functional Skills. All resources will be provided electronically by the teacher, using the conferencing/ online teaching platform of ‘GoTo Classroom’. Resources to support learning and assessment will be available digitally. These might include presentations, documents to promote active learning and collaboration and assessment. Resources will be sent to the apprentices as necessary, and additional study aids /independent learning will be provided via email or eportfolio to the apprentices. We will make use of a number of collaborative tools to encourage interaction with teaching staff and peers. This will boost motivation as well as enabling fast and efficient communication and teamwork. Tools to be used will be the GoTo Training platform, Google docs and WhatsApp group messaging as well as the LCoAT eportfolio system’

Organisational Related Issues

This Functional Skills Programme (FSP) is a 12-week, topic-based programme, on which apprentices will attend each topic class dependent upon their Maths Diagnostic results. The Functional Skills Programme is one element of a full programme of learning for the apprentices, to support them in achieving their full Apprenticeship framework/standards. Achievements and progression on the FSP will be shared with the apprentices’ own subject coaches and within their eportfolio. The Apprentices’ coaches will then ensure that they are ready to, and undertake, their exam.

Prevent, British Values, Safeguarding and Current Events

Issues surrounding the Prevent Strategy, British Values and Current Events will be evident throughout the programme, through demonstrating diversity, conducting learner surveys, and linking work to topics in current/recent news events- including reported every day risks of radicalisation and safeguarding.

Every Learner Matters

Making a positive contribution to society – apprentices are encouraged to work with others and make positive contributions to the course as well as pass on learning to others. Being healthy – apprentices are encouraged to adopt a healthy lifestyle, ensuring that time is taken away from the computer to be active.

Stay safe - apprentices will be encouraged to use the Internet and our online resources in a safe way that prevents a risk from harm. Achieve economic well-being – apprentices are encouraged to consider ways in which achieving their FS and the full Apprenticeship programme will improve their employment and progression prospects.

Topic Objective/Co

ntent

Learning Outcomes Key Learning Activities Resources Assessment Independent Learning

Follow Up 1 Number Apprentices will read,

write, order and compare positive and negative numbers. Apprentices will understand the meaning of negative numbers in a practical content. Apprentices will carry out calculations with numbers of any size in practical contexts.

1) Teaching and learning: Addition, subtraction, multiplication and division- choose the correct method. Class working examples to practice. Brief look at squared numbers. 2) Teaching and learning: negative numbers and reading thermometers. Class practice. 3) Group practical work: activities relating to positive and negative numbers. 4) Teaching and Learning: large numbers and place value. How to read and write large numbers. 5) Self-assessment quiz: write the given numbers in digits. 6) Recap and provide independent (homework) task.

Session 1 slides Transfer quiz questions (in slides) to online test Group work task sheet- move to Google Doc Homework worksheet

Group discussions and chat box usage to record answers. Group activity- positive and negative numbers Independent progress check. Independent learning task (homework)

S1 Quiz on QuestBase- send link and password to apprentices on completion of session.

2 Fractions, Decimals and Percentages (part 1)

Fractions: apprentices will write fractions in their simplest form; understand how to write equivalent fractions with an identical

1) Introduction to fractions and how they are represented, and what they mean. Practice questions provided as a whole class.

Session 2 slides. Quiz questions

Group discussions and chat box usage to

Fractions worksheet with various questions and tasks.

simplest form; understand how to write a mixed number.

2) Work out the fraction ‘of’ a total. Teaching and learning with examples. Progress check mini assessment. 3) Fractions and discounts teaching and learning, with whole class practice questions. 4) Simplifying fractions with class examples, and also increasing fractions and their equivalency. 5) Writing and calculating with mixed number fractions, build up of examples and class practices. 6) Recap and set independent learning.

into GoTo training. Homework worksheet.

record answers. Independent progress check. Independent learning task (homework)

3 Fractions, Decimals, Percentages (part 2)

Decimals: apprentices will know how to order and compare decimals; apprentices will feel confident about calculating with decimals in practical situations. Percentages: Apprentices will be able to find a percentage of a quantity; apprentices will be able to calculate percentage increase and decrease.

1) Introducing decimals and how to round and order them. Class and group practice activities. 2) Adding and subtracting decimals. 3) Progress check quiz surrounding decimals. 4) Calculating percentages of an amount, with class practice questions. 5) Percentage increases and decreases with progress check assessment quiz. 6) Review of session and independent learning.

Session 3 slides. Session 3 group work- move to Google Doc Quiz questions- copy from slide and into Online Classroom (x2)

Group discussions and chat box usage to record answers. Group activity- positive and negative numbers

Percentages worksheet.

Independent progress check. Independent learning task (homework)

4 Fractions, Decimals and Percentages (part 3)

Ratio and Proportion

Apprentices will be able to convert between equivalent fractions, decimals and percentages.

Apprentices will be able to compare two or more quantities in the form of a ratio. Apprentices will be able to write ratios in the simplest form. Apprentices will be able to approximate ratio and proportions.

*** Provide apprentices with FDP Conversion wall by email prior to the session*** 1) Teaching and Learning: Conversions between FDPs with class practice questions. 2) Formative assessment quiz on FDP conversions to check progress. 3) Teaching and Learning: proportion with class practice questions. 4) Teaching and Learning: Ratio with class practice questions 5) Review of session and provide apprentices with independent learning tasks.

Session 4 slides. FDP Conversion table. Homework: FDP Homework: Proportions.

Group discussions and chat box usage to record answers. Whole class practice questions Independent progress check. Independent learning task (homework)

FDP conversions (multiple choice) Proportions (functional questions)

5 Time Measures

Apprentices will be able to identify some key facts about time.

1) Teaching and learning: time- 24 and 12 hour clocks and how to calculate time with examples.

Session 5 slides.

Group discussions and chat box

Measures (metric and imperial)

Apprentices will be able to write time in different ways using the 12-hour or the 24-hour clock. Apprentices will be able to identify time intervals and links between two different times.

Apprentices will be able to identify temperatures, lengths, weights and capacities and convert between metric and imperial units. Apprentices will use written information to solve everyday problems involving measures.

2) Class questions using chat box- calculating with time. 3) Teaching and learning: using timetables to plan journeys. 4) Self-Assessment quiz- using timetables. Questions in slides to be transferred to the GoTo classroom quiz software. If timetable cannot be uploaded, treat as whole class quiz. 5) Teaching and learning: metric length, weight and capacity and converting between ml, cl, l etc. with working examples throughout. 6) Teaching and learning: metric and imperial unit conversions. 7) Whole class activity (ensure Google Doc is set up)- measures problems- both metric and imperial. 8) Review of session and provide apprentices with independent learning tasks.

Session 5 group work (move to Google Docs) Session 5 homework sheet. Questions for quiz (in slides- move to GoTo).

usage to record answers. Whole class practice questions Independent progress check. Independent learning task (homework)

questions sheet.

6 2D Representations of 3D Objects

Apprentices will be able to identify 3-D shapes, the nets of 2-D shapes that fold into a 3-D shapes and be able to draw representations of 3-D

*** Apprentices will need pen and paper for practice. Squared paper would be most appropriate for the tasks. Send some by email for printing prior to class***

Session 6 slides. Session 6 independent or group work (move

Group discussions and chat box usage to record answers.

Plans and elevations worksheet (isometric paper included).

shapes onto isometric or squared paper. Apprentices will be able to interpret maps and plans

1) Teaching and learning: 3D shapes and nets. 2) Assessment activity: name the 3D shape that the net will form (ensure Google Doc is set up on GoTo). 3) Teaching and Learning: Plans and elevations- plus interactive quiz. Send link to apprentices via chat box. Require Java to run. Show one of two examples on how to use. Allow apprentices to spend some time investigating with these. 4) Teaching and Learning: maps and scales, including scaling up and down/ link to ratios. 5) Assessment: Class practice questions on scales. 6) Review of session and provide apprentices with independent learning tasks.

to Google Docs) Session 6 homework sheet and isometric paper. Electronic activity (link within slides)

Whole class practice questions. Independent progress check. Independent learning task (homework)

7 Formulae and Equations

Apprentices will create and solve formulas from word questions Apprentices will use letters to create and solve formulas Apprentices will complete problems that have more

1) Teaching and Learning: Looking at formulas in words and how to extract this information. Two-step formulae also investigated. 2) Assessment- Class practice questions for word based formula questions, 4 questions, plus optional challenge question to have a go at.

S7 Slides Quiz questions- copy from slide and into Online Classroom

Group discussions and chat box usage to record answers.

S7 Quiz on QuestBase- send link and password to apprentices on

than one variable using an equation

3) Teaching and Learning: Formulae using letters, and using what we know to put in the numbers. Solving calculations using these formulae. 4) Assessment- Progress check: formulae word and letter questions- functional question formats. 5) Review of session and provide apprentices with independent learning tasks.

QuestBase assessment for homework

Whole class practice questions. Independent progress check. Independent learning task (homework)

completion of session.

8 Area, Perimeter and Volume

Apprentices will find the perimeter of a range of regular and irregular shapes. Apprentices will work out the unknown lengths of shapes, including circles. Apprentices will find the area of rectangles, triangles and circles. Apprentices will calculate the volume of cubes and cuboids.

1) Teaching and Learning: Perimeter of regular and irregular shapes. Class questioning activities throughout. 2) Teaching and learning: area of rectangles and finding unknown sides. 3) Group activity: work in groups to find the perimeter and area of a range of shapes. 4) Teaching and learning: areas of triangles with class questioning activities. 5) Teaching and Learning: Circles- key words, pie and area. 6) Assessment: progress quiz on areas of circles. 7) Teaching and Learning: Volume of cubes and cuboids. Recap on area of

S8 Slides Quiz questions- copy from slide and into Online Classroom S8 activity found in the S8 resources folder. QuestBase assessment

Group discussions and chat box usage to record answers. Group activity on Google Docs Whole class practice questions.

S8 Quiz on QuestBase- send link and password to apprentices on completion of session.

rectangles. Formula for volume and class practice activities. 8) Review of session and provide apprentices with independent learning tasks.

for homework

Independent progress check. Independent learning task (homework)

9 Collect and Represent Data

Apprentices will be able to extract information from a table or spreadsheet. Apprentices will be able to extract information from bar charts, pie charts and line graphs. Apprentices will be able to draw conclusions from various graphs and charts.

1) Teaching and Learning: tables and other presentations of numerical data. Practice Questions based on tabular information to assess learning. 2) Teaching and Learning: Bar charts, line graphs and pie charts- key features, why they are used and how to read the information provided. Class practice questions and feedback provided for knowledge checking. 3) Group activity: work in groups to interpret the data and answer a series of questions, including discussion points and higher order questioning. 4) Review of session and provide apprentices with independent learning tasks.

Session 9 slides. Session 9 independent or group work (move to Google Docs) Session 9 homework sheet and graph plotting paper

Group discussions and chat box usage to record answers. Whole class practice questions Independent progress checks. Independent learning task (homework)

Representing data using a line graph work sheet.

10 Working with data:

Apprentices will be able to work out averages of a set

1) Teaching and Learning: Range- explanation, how to use it, example questions and practice questions.

Session 10 slides.

Group discussions and chat box

Mean, Median, Mode and

Averages and Range

of data: mean median and mode. Apprentices will be able to find the range of a set of data. Apprentices will be able to calculate sets of data, work out the average and the range each of the sets.

2) Progress check/self-assessment: calculating the range. 3) Teaching and learning: Averages- mean, median and mode. How to work them out and contexts in which to use them. Various working examples and practice questions between each average type. 4) Group activity: complete the task in break out areas on the Google Doc provided. Pre-populate with tasks (in slides). Apprentices to work out the MEAN and RANGE of each set of numbers. 5) Review of session and provide apprentices with independent learning tasks.

Session 10 independent or group work (move to Google Docs) Session 10 homework sheet.

usage to record answers. Group activity on Google Docs Whole class practice questions. Independent progress check. Independent learning task (homework)

Range task sheet

11 Probability Apprentices will be able to work out the likelihood that an event will happen. Apprentices will be able to write probabilities as fractions, decimals or percentages.

1) Teaching and Learning: Introduction to probability, discuss a range of events and consider how likely or unlikely that they are. 2) Teaching and Learning: Probability scales with working examples and class questions. 3) Teaching and Learning: Working out probability- with various familiar

Session 11 slides. Session 11 independent or group work (move to Google Docs)

Group discussions and chat box usage to record answers.

Practice test

working examples and quick fire practices. 4) Challenge Question: Investigation to encourage higher level thinking and investigating (independent work) 5) Teaching and Learning: combined events and probability. Teaching and examples/practice questions. 6) Group activity: in break out areas, complete the combined probability investigation and related questions in small groups. Check work as whole class. 7) Review of session and provide apprentices with independent learning tasks.

Practice paper

Group activity on Google Docs Whole class practice questions. Independent Challenge question Independent learning task (homework)

12 One to Ones N/A This week, apprentices have the option of attending a 30-minute (more is required) one to one with their FS tutor for exam preparation. The one to one can cover both English and Maths.

N/A N/A N/A