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2 Integrating maths.notebook
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July 11, 2017
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July 11, 2017
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Late - How much have you lost?
http://www.payscale.com/research/UK/Job=Photographer/Salary
x £16.1560
Late every day?x by number of days
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Comparisons
Benefits
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How statistics can be used.Critical analysis Don't believe
everything you read
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Student responses v2 = u2 + 2asv = u + at
A cricketer throws a ball vertically upwards so that the ball leaves his hands at a speed of 25ms-1. If air resistance is neglected calculate
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Task:Use a graph/chart from your subject.Create a question
No title - What do you think the chart is about?Missing labels - What does the chart showIncorrect proportion - What is the numerical difference
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• Census At School – STEM• Crest awards• Core Maths• payscale.com
Useful links
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• Equation of a line - Mondrian• Proportional – Da vinci• Symmetry• Tessellations - M C Escher• Fibonacci• Ratio – mix oil and water or colours• Constructions using a compass
Art
• Amplitude frequency – sin cos• Scales - golden ratio• Sound proofing - Area
Music
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y = 5
x = -4
Draw and label linear linesCreate a piece of Modrian style art
Create a tessellationInvestigate which polygons can tessellate based on angles.
1200
12001200
Create symmetrical patterns which practicing using a compass to make constructions.
Understand ratio when mixing paint
Calculate the cost of sound proofing a room 5m x 6m x 2mFlooring £7.50/m2.Wall £5.40 per square meter.
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• Students will encounter the principles of research design, including ethical considerations, sampling, concepts of independent and dependent variables.
• Hypothesis testing• Mean standard distribution• Normal distribution
Psychology
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Trend
Averages Standard deviation
ChartsPercentages
Formula
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• Solving Equations• Rearranging Formula• Negative numbers temperature• Analysing data• graphs• Hypothesis testing
Science
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Standard form Gradient
Hypothesis
Sampling
Forces
Compound measure
Gravitational force 9.81
Mass 4.14 x 1024
Equations
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Law
Probability
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In the shoeprint murder case, for example, it meant figuring out the chance that the print at the crime scene came from the same pair of Nike trainers as those found at the suspect's house, given how common those kinds of shoes are, the size of the shoe, how the sole had been worn down and any damage to it. Between 1996 and 2006, for example, Nike distributed 786,000 pairs of trainers. This might suggest a match doesn't mean very much. But if you take into account that there are 1,200 different sole patterns of Nike trainers and around 42 million pairs of sports shoes sold every year, a matching pair becomes more significant.Bayes theorem
Suppose a drug test is 99% sensitive and 99% specific. That is, the test will produce 99% true positive results for drug users and 99% true negative results for nondrug users. Suppose that 0.5% of people are users of the drug. What is the probability that a randomly selected individual with a positive test is a user?
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• Coding• Binary• Excel functions (sum and averages)• Charts and diagrams in excel
ICT
• Revenue and profit• Analyse customer service reports• Compare organisations (Venn diagram)• Projected sale – gradient/trend graphs
Business
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Make a tarsia
Binary
How to use formula in spreadsheets.(Analysing data found in Core Maths and reading from charts in GCSE)
Highlight mistakes and create a spreadsheet using the correct formula that will avoid these errors. Why can we not have 269% of the seeds grow?Where might you see % greater than 100?
Compare and contrastState the best phone tariff companyCalculate rate of change (cost per minute)Look at graphs on profit, calculate percentage increases, review trends and make sales predictions.(These topics are seen in GCSE maths)
Qualitative Quantitative
Categorise types of data
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• Calculate time intervals for cooking• Convert between temperature Celsius to Fahrenheit• Nets for packaging• Adapting recipes• Calculating cost/change• Transfer information on RDA to pie charts
Technology
Media• Mixing colours in ratios
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Experiment with ratio the create different stage lighting. Plans and elevationsDimensions
Perspectives
Recipes/proportion
MeasuringConversion of units
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• Football league tables• Measurement conversions (height)• Speed distance time• Direction in angles (snooker)• Projection and forces
PE
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Using measuresStrategic planning
Statistical analysis of performance
Score ranking
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• Primary – ship journey, bearings, Speed Distance Time, Time zones.• Time lines
Humanities
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Interpreting or representing numbers like population statistics, financial growth, immigration numbers, rates of birth, death, marriage, correlations and causations of events
