Calculations Two 3 24 RB1/2/EA/012 J/506/3507

Transcription

1 J/506/507 This unit has 9 learning outcomes 1. Be able to read, write and order numbers 1.1. Read numbers: (a) whole numbers of any size (b) numbers with up to three decimal places 1.2. Write numbers: (a) whole numbers of any size (b) numbers with up to three decimal places 1.. Identify place value of: (a) whole numbers of any size (b) numbers with up to three decimal places 1.4. Order numbers (a) whole numbers of any size (b) numbers with up to three decimal places 1.5. Identify negative numbers in context 1.6. Order a set of figures 1

2 J/506/ Be able to manipulate numbers 2.1. Use efficient written methods to manipulate numbers: (a) add numbers (b) subtract numbers (c) multiply numbers (d) divide numbers 2.2. Use a calculator to manipulate numbers: (a) add numbers (b) subtract numbers (c) multiply numbers (d) divide numbers 2.. Use mental calculation methods to manipulate whole numbers: (a) add numbers (b) subtract numbers (c) multiply numbers (d) divide numbers 2.4. Identify multiples and factors in relation to whole number multiplication and division 2.5. Identify prime numbers 2

3 . Be able to use fractions 4. Be able to use percentages J/506/ Order a set of fractions.2. Express one quantity as a fraction of another.. Add fractions.4. Subtract fractions.5. Know common addition and subtraction facts 4.1. Express one number as a percentage of another 4.2. Express percentages as fractions out of Find percentage parts of quantities and measurements: (a) using efficient methods (b) using a calculator (c) using quick methods 4.4. Increase and decreasee quantities by given percentages in practical contexts

4 J/506/ Be able to identify equivalences between common fractions, decimals and percentages 6. Be able to calculate ratio and direct proportion 5.1. Identify place value in decimal fractions expressed: (a) tenths (b) hundredths (c) thousandths 5.2. Change a fraction to a decimal 5.. Match common fractions, decimals and percentages 5.4. Order a mix of fractions, decimals and percentages 6.1. Write ratios in the form : Work out for a given ratio: (a) the number of parts (b) the value of one part 6.. Calculate quantities involved in mixtures using ratio as number of parts 6.4. Use direct proportion in everyday situations 4

5 J/506/ Be able to evaluate expressions in given formulae to produce resultss 8. Be able to use a calculator to calculate fractions, decimals and percentages 7.1. Carry out calculations in the correct order 7.2. Match expressions in words and symbols 7.. Identify the operation of multiplication when: (a) there is no operator between a number and one or more variables (b) there is no operator between a number and a bracket 7.4. Evaluate simple formulae involving a single variable 7.5. Evaluate simple expressions involving more than one variable 7.6. Evaluate simple expressions in involving brackets 8.1. Use different functions on a calculator 8.2. Use memory for simple two-stage calculations 8.. Use the constant function for repetitive calculations 8.4. Round the answer to an appropriate degree of accuracy 5

6 J/506/ Be able to use different strategies to check answers 9.1. Estimate to check thatt answers are reasonable using approximate number calculations 9.2. Check that answers are reasonable using knowledge of content

7 J/506/507 ASSESSMENT INFORMATIONN Specific Requirements for Assessment and delivery of this unit. ASSESSMENT AND DELIVERY INFORMATION Centre devised assessment taskss should be approved by the internal verifier for the course before delivery takes place in order to ensure the assessment is fit for purpose and meets the standards required. Unit Summary In this unit, learners will gain experience in calculations. They will read, write, order and manipulate numbers and will also be able to use fractions and numbers. Indicative Content Learning Outcome Read numbers: both in digit form and the name of the number. 1.2 Write numbers: both in digit form and the name of the number. 1. Place value: including the use of zero as a placeholder, for example, discuss which is bigger 0.02 or Order numbers: for example, sets of lengths, weights, capacities or times. 1.5 Negative numbers in context: for example, negative temperatures as indicating temperatures below zero and negative trading figures as representing a loss in. 1.6 Set of figures: to include positive and negative numbers, for example, order a set of temperatures around the world on a given day, order a set of monthly trading figures, including losses trading. Learning Outcome and 2.2 Numbers: to include both whole numbers and numbers with up to three decimal places. 2.5 Prime numbers: as whole numbers which only have two factors, 1 and themselves. 7

8 J/506/507 Learning Outcome.1 Order: a set of fractions by changing to equivalent fractions with a common denominator..2 Express one quantity as a fraction of another: giving the answer as a fraction in its simplest form and recognising that quantities must be in the same units, for example, express minutes as fractions of an hour so as to fill in time-sheet..5 Addition and subtraction facts: for example, ½ + ¼ = ¾, ¾ - ½ = ¼. Learning Outcome Express one number as a percentage of another: by changing a fraction to a percentage. 4.2 Percentages as fractions: out of 100, for example, 7% = 7/ Find percentage parts: for example, 17 ½% = 10% + 5% + 2 ½% %. 4.4 Practical contexts: : for example, total price including VAT, new price after a percentage change and depreciation. Learning Outcome 5 5. Match common fractions, decimals and percentages: for example, by sorting a set of cards into sets of equivalent common fractions, decimal fractions and percentages, ¼, 0.25, 25%, recognising that fractions, decimals and percentages are different ways of expressing the same thing. Learning Outcome 6 6. Quantities involved in mixtures: for example, diluting liquids and mixing ingredients. 6.4 Everyday situations: for example, such as scaling recipes. Learning Outcome Correct order: using BODMAS. 7.2 Words and symbols: for example, V = lwh and Volume = length x width x height. 7. a) Operation of multiplication: for example, 2a = 2 x a, ab = a x b, 2ab = 2 x a x b. 7.4 Single variable: for example, perimeter of square = 4 x l. 8

9 J/506/ More than one variable: up to and including three variables, for example, v = l x w x h. 7.6 Involving brackets: for example, perimeter of rectangle = 2 (l + w). Learning Outcome Functions: to include add, subtract, multiply, divide, fraction and percentage, square and square root. Must be used correctly. 8.2 Simple two-stage calculations: for example, ( )/(5.10.4). Delivery Requirements/Recommendations Assessment tasks will be devisedd to meet the needs of the learning group and to cover all the criteria. 9

10 J/506/507 Owner: Unit Grading Structure Sector Subject Areas (SSA) Unit Review Date Availability for Use Restricted organisations Assessment Guidance Equivalences PASS 14.1 Foundations for Learning and Life 0/04/2019 Shared N/A N/A N/A 10