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UNIT TITLE: Number and Algebra, BLG149 LEVEL: Two CREDIT VALUE: 3 UNIT CODE: old code: BLG149 This unit has 4 learning outcomes. LEARNING OUTCOMES ASSESSMENT CRITERIA The learner will: The learner can: 1. Demonstrate an understanding of mathematical language with respect to number. 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 10. 2. Undertake and solve mathematical problems. 2.1 Perform calculations using addition, subtraction, multiplication, division and simple applications of ratio using the types of number and terms stated in 1.1. 2.2 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. Demonstrate an understanding of the need for and use of symbolic notation, and use correctly. 3.1 Substitute numerical values into given formulae. 3.2 Perform addition, subtraction, multiplication and division using algebraic terms. 4. Use a Cartesian graph to represent information. 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. UNIT TITLE: LEVEL: CREDIT VALUE: OPUS CODE: SECTOR: Collecting, Recording and Analysing Data Two 3 BZK223 2.2 This unit has 4 learning outcomes. LEARNING OUTCOMES ASSESSMENT CRITERIA The learner will: The learner can: 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. UNIT TITLE: LEVEL: CREDIT VALUE: OPUS CODE: SECTOR: Shape, Space and Measurement Two 3 BZK221 2.2 This unit has 4 learning outcomes. LEARNING OUTCOMES ASSESSMENT CRITERIA The learner will: The learner can: 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. 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. Solve problems using measurements in two and three dimensions. 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. 4. Using relevant examples describe and draw transformations of 2D shapes. 4.1 Perform translations on squared paper and using vector notation. 4.2 Perform reflections on squared paper. 4.3 Perform rotations on squared paper where the centre of rotation is at any point. 4.4 Perform enlargements on squared paper where the centre of enlargement is at any point and the scale factor is positive. UNIT TITLE: LEVEL: CREDIT VALUE: OPUS CODE: SECTOR: Development of Ideas in Algebra Two 3 BZK225 2.2 This unit has 4 learning outcomes. LEARNING OUTCOMES ASSESSMENT CRITERIA The learner will: The learner can: 1. Manipulate algebraic expressions in order to solve problems. 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. Use graphical methods to represent algebraic relationships. 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. Use graphical and non-graphical methods to solve algebraic problems. 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. Perform an investigation, which leads to an understanding of sequences. 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. © NOCN 2004