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© Nuffield Foundation 2012 © Rudolf Stricker Nuffield Free-Standing Mathematics Activity House price moving averages
© Nuffield Foundation 2010 How have house prices in the UK changed since 2000? Do the house prices change more in some quarters of the year than in others? How could fluctuations due to seasonal factors be smoothed out?
© Nuffield Foundation 2010 House price moving averages Moving averages can be used to smooth out fluctuations due to seasonal factors. Moving averages For data points p 1, p 2, … the simple moving average at interval m with n data points is: It is often quicker to calculate successive values using
© Nuffield Foundation 2010 Weighted moving averages The problem of lag can be addressed by using weighting. where the denominator is the triangular number with sum. The linear weighted moving average is:
Reflect on your work What is a moving average? Why are they used? Describe two methods of calculating a moving average. Describe how to find a weighted moving average. Why does a weighted moving average help to overcome the problem of lag? © Nuffield Foundation 2012
(p. 1) FRACTION PROBLEMS TYPE I “Find a fractional part of a quantity” The QUESTION contains a fraction Example: Find 2 / 3 of £36 TYPE II “Express one.
Polynomial Inequalities in One Variable Let P(x) be any polynomial. Then P(x) 0 are called polynomial inequalities. To solve polynomial inequalities: Use.
Of. and a to the in is you that it at be.
The. of and a to in is you that it he was.
The. of and a to in is you that it he for.
Adapted from Walch Education The average rate of change of a function is the rate of change between any two points of a function; it is a measure of.
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© Nuffield Foundation 2012 Free-Standing Mathematics Activity Working with percentages.
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Section 2.3 Section 2.3 Position-Time Graphs Develop position-time graphs for moving objects. Use a position-time graph to interpret an objects position.
Slope Problems. Slope Problem Examples Determine a value for x such that the line through the points has the given slope. Let's use the slope formula.
L.O.1 To be able to count on or back in steps of 0.1; 0.2; 0.3….. To be able to use known facts and place value to multiply mentally.
Think! What different methods can you use to work out multiplication sums? Sometimes we dont know the answer to a multiplication question…
© Nuffield Foundation 2013 Practical Work for Learning The effect of concentration on the rate of a reaction.
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Chapter 2 Notes. Scientific models Used to solve complex questions 3 types Physical model- Something you can physically manipulate The car and ramp are.
High-Frequency Phrases First 100 Words. The people.
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