LASER s Level 2 Maths Course - Summary

Transcription

1 LASER s Level 2 Maths Course - Summary Unit Code Unit Title Credits Level Status SER945 Shape, Space and Measurement 3 2 Mandatory SER946 Collecting, Recording and Analysing Data 3 2 Mandatory SER947 Development of Ideas in Algebra 3 2 Mandatory SER948 Number and Algebra 3 2 Mandatory All learners must compile a portfolio of evidence comprising completed, centre-devised marked assignments which are mapped to the relevant assessment criteria in the units for internal quality assurance and LASER external quality assurance. Across the units, learners should be given the opportunity, and encouraged to: use and apply Mathematics accurately in practical, real-life situations as well as within the classroom recognise the rich historical and cultural roots of mathematics select mathematical tools that are appropriate to the problem use methods that communicate mathematics effectively understand the creative process in mathematics, combining understanding, experiences, imagination and reasoning to construct new knowledge develop convincing arguments, and pose appropriate questions to challenge others arguments use the abstract concepts of mathematics to model, interpret or represent situations. There must be evidence of achievement of all assessment criteria in all units. Mandatory assessment information is provided below. Centres should devise their own assessments, within the permitted assessment rules for each unit. Written tests: At least two tests, of at least 40 minutes duration, must be set and marked internally and taken under examination conditions. The centre must relate the contents of the tests to learning outcomes in the units listed below. At least one learning outcome from each of the units must be tested across the two tests. Development of Ideas in Algebra Number and Algebra Centres could test all of the unit contents via appropriately set tests or supplement the test evidence with additional course work as required. Unit Title Level Credits Mandatory Test? Course Work Option? Shape, Space and Measurement 3 Y Collecting, Recording and Analysing Data 3 Y Development of Ideas in Algebra 3 Y Y Number and Algebra 3 Y Y Centres should retain representative samples of marked student assignments relating to each unit in the scheme for a minimum of three years. Page 1 of 6

2 Maths Course Units UNIT TITLE: UNIT CODE: SER945 This unit has 3 learning outcomes. Shape, Space and Measurement 1. Understand and use properties of shape. 1.1 Distinguish between specific triangles, quadrilaterals and polygons by their properties. 1.2 Distinguish 3D shapes by their properties and recognise their nets. 1.3 Measure angles in 2D shapes and deduce their size using the following: - angles in a straight line, - angles around a point, and - opposite, alternate and corresponding angles. 2. Understand the basic trigonometry of a right-angled triangle. 3. Solve problems using measurements in two and three dimensions. 2.1 Calculate measurements using similar right-angled triangles. 2.2 Use Pythagoras' theorem to calculate the length of a side in a right-angled triangle. 3.1 Calculate, where appropriate, perimeters, areas, surface areas and volumes of simple regular shapes. 3.2 Interpret scale drawings. 3.3 Estimate measurements of everyday items. 3.4 Convert measurements between units (e.g. cm2 and m2) and make rough conversions between imperial and metric units. 3.5 Make calculations using compound measure (e.g. speed, density) and use appropriate units. Page 2 of 6

3 UNIT TITLE: UNIT CODE: SER946 This unit has 4 learning outcomes. Collecting, Recording and Analysing Data 1. Collect data for a purpose. 1.1 Design and use a questionnaire to collect data comprised of open and closed questions. 1.2 Use data collection sheets to record data from a practical exercise (e.g. measuring temperature change over time). 1.3 Identify strengths and weaknesses of different methods of data collection. 2. Categorise and record data. 2.1 Using information from tables, lists, or computer databases construct frequency and grouped frequency tables. 2.2 Using suitable examples distinguish between discrete and continuous data. 3. Represent and interpret data. 3.1 Using suitable data construct bar charts, pictograms, pie charts and line graphs. 3.2 Interpret critically statistical diagrams and graphs, explaining the main features of the data represented. 3.3 Construct and use histograms with equal intervals from frequency distributions. 3.4 By drawing a scatter diagram and a line of best fit by inspection, comment on the correlation of the data. 4. Analyse data. 4.1 Calculate mean, median and mode from lists, ungrouped and grouped frequency tables. 4.2 Calculate range and interquartile range. 4.3 Calculate the probability of a single event within the context of the data collection. Page 3 of 6

4 UNIT TITLE: UNIT CODE: SER947 This unit has 4 learning outcomes. Development of Ideas in Algebra 1. Manipulate algebraic expressions in order to solve problems. 2. Use graphical methods to represent algebraic relationships. 3. Use graphical and non-graphical methods to solve algebraic problems. 4. Perform an investigation, which leads to an understanding of sequences. 1.1 Change the subject of a formula where the subject appears in one term only. 1.2 Simplify expressions using the rules of indices. 1.3 Expand expressions involving brackets and factorise simple expressions. 1.4 Solve simple linear equations up to those including brackets, and where the unknown appears on both sides. 2.1 Construct a table of values from linear algebraic equations. 2.2 Plot the graph of a linear function from a table of values. 2.3 Use the formula y = mx + c to calculate the values of m and c from a graph or table of data. 2.4 Recognise and sketch graphs of y = x2, y = x3 and y = a/x. 3.1 Solve simultaneous equations containing two variables graphically. 3.2 Plot the graph of a quadratic function. 3.3 Solve quadratic equations of the form x2 + ax + b = 0 using a graphical method. 3.4 Solve simple algebraic equations using a 'trial and improvement' method. 4.1 Recognise and continue a pattern of numbers to a specified term. 4.2 Recognise patterns of triangular numbers. 4.3 Find an algebraic expression for the nth term of a linear sequence. Page 4 of 6

5 UNIT TITLE: UNIT CODE: SER948 This unit has 4 learning outcomes. Number and Algebra 1. Demonstrate an understanding of mathematical language with respect to number. 2. Undertake and solve mathematical problems. 3. Demonstrate an understanding of the need for and use of symbolic notation, and use correctly. 4. Use a Cartesian graph to represent information. 1.1 Use the following terms appropriately: whole numbers, natural numbers, integers (both positive and negative values), digits, factors, prime numbers, fractions, decimals, reciprocals, percentages, indices, standard form. 1.2 Identify place value. 1.3 Convert percentages to decimals and fractions and vice versa. 1.4 Recognise square numbers up to 15 x 15 and the cubes of 2,3,4,5 and Perform calculations using addition, subtraction, multiplication, division and simple applications of ratio using the types of number and terms stated in Perform calculations involving brackets and apply operators in the correct order. 2.3 Round numbers to a stated number of significant figures or decimal places. 2.4 Estimate the results of calculations. 2.5 Choose and use appropriate levels of accuracy to express an answer. 3.1 Substitute numerical values into given formulae. 3.2 Perform addition, subtraction, multiplication and division using algebraic terms. 4.1 Draw axes with appropriate scales. 4.2 Plot points using Cartesian co-ordinates. 4.3 Interpret and sketch graphs from practical situations (e.g. Hookes Law). 4.4 Extract information from graphs (e.g. conversion or distance/time graphs). 4.5 Extrapolate and interpolate graphical data and draw a line of best fit. Page 5 of 6

6 Key Stage 4 Mathematics Requirements Colleagues may find the National Curriculum Programmes of Study for Key Stage 4 Mathematics to be a useful guide for further support when devising assignments or assessing work. Page 6 of 6