stem and leaf diagrams
DESCRIPTION
STEM AND LEAF DIAGRAMS. Don’t forget to order Include a key. STANDARD FORM. It’s a number between 1 and 10 times by a power of 10. e.g. 450 is 4.5 x 10 2 Use the exp button on the calculator. POWERS. When multiplying times the numbers and add the powers - PowerPoint PPT PresentationTRANSCRIPT
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STEM AND LEAF DIAGRAMS
• Don’t forget to order
• Include a key
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STANDARD FORM
It’s a number between 1 and 10 times by a power of 10.e.g. 450 is 4.5 x 102
Use the exp button on the calculator
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POWERS
• When multiplying times the numbers and add the powers
• When dividing divide the numbers and take away the powers
• Power of 0 is 1• Fraction powers: ½ is
square root, 1/3 is cube root
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FRACTIONS OF
• Fraction of – divide by the bottom, times by the top.
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COORDINATES
• For 3d coordinates follow the axes as x,y,z
• To find midpoints add the x’s then halve. Do the same for the y’s and z’s.
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ANGLES
• Parallel lines- look for FUZ:
CorrespondingInteriorAlternate• Bearings measure
clockwise from North
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LCM and HCF
• LCM is a multiple, so is bigger than the start numbers
• HCF is a factor, so is smaller than the start numbers
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AREA
• Rectangle is length x width
• Triangle is height x base / 2
• Trapezium is (add parallel sides) x height /2
• Compound shapes – split into easier shapes then add together
• Circle is pi x radius squared
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VOLUME
• Prisms – Area of front x length
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EXPANDING BRACKETS
• Two brackets together – eyebrows and smiley face are 4 multiplies
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FACTORISING BRACKETS
• Pick the x’s to times together
• Pick the numbers to times to the question
• Check the smiley face to see if the x term is right
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STRAIGHT LINES
• Form is y=mx+c• To plot the line, take 3 x values and find out the y values that go with them
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CIRCLE ANGLES
The angle between a tangent and a radius is 90o
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SCATTER DIAGRAMS
• Plot the points• Line of best fit• Positive and
negative correlation
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SIMPLE PROBABILITY
• Probabilities add to 1
• Multiply the probability by the number of times
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MEAN FROM A TABLE
• Multiply frequency by the value
• Divide this total by total frequency
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QUESTIONNAIRES
• Look for a time limit in the question
• Overlap between the choices
• Any missing choices?
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BOX PLOTS
• Plot 5 measures to draw it
• To compare, 1 comment on the median, 1 comment on the interquartile range (the width of the box)
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CUMULATIVE FREQUENCY
• Running total• Plot end points against
cumulative frequency• Measure median and
quartiles
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ESTIMATE OF THE MEAN
• 2 extra columns• Use mid point of
groups• Mid point x
frequency• Big total divided by
little total
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HISTOGRAMS
• Frequency density is freq divided by class width
• The area of a bar is the frequency
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PERCENTAGES
• 1% - divide by 100• 10% - divide by 10• % change is change / original x
100%
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STRAIGHT LINES
• Look at the gradient – positive or neg
• Gradient is up divided by the across
• Line is y=mx+c, where m is the gradient and c the intercept
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CALCULATOR WORK
• Work out the top• Work out the bottom• Top divided by the bottom
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RATIO
• RATIO 2:3 MEANS 2+3 = 5 PARTS
• FIND THE VALUE OF 1 PART
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PYTHAGORAS
• TAKE THE 2 NUMBERS• SQUARE• SQUARE• ADD OR SUBTRACT• SQUARE ROOT
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TREE DIAGRAMS
• Each V adds to 1
• Multiply alon g the branches
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TRAVEL GRAPH
Away from home
Stops
Journey home
Speed
Distance
Time
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POLYGON ANGLES
Interior angle is180 – exterior angle
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INEQUALITIES
3 included, filled circle-2 not
included, empty circle
• Integer means whole number
• Solve like an equation
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ENLARGEMENT
Scale factor x3
Count across and up from the centre
Times this by 3 from the centre
Negative enlargement goes the opposite way
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BEST VALUE
Change £ into pence by x 100
Work out the cost of each per unit
Show all your working out
State the answer at the end
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FRACTIONS
TL TR
BL BR
Top of 1st fraction
Bottom of 1st fraction
Top of 2nd
Bottom of 2nd
+ TR+BL BR
- TR – BL BR
X TL BR
÷ TR BL
Works for algebra fractions too
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FORM AND SOLVE EQUATION
• This one is about angles, so add algebra together and put equal to 360.
• If perimeter, do the same but put = perimeter.
• Solve by simplifying and solving
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VECTORS
• Go from A to B• Only use a and b• -a+b or b-a
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PLOTTING GRAPHS
• Complete table of values
• Plot points on grid• Join points together
to make a graph
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PROPORTION
• Get 1 by dividing• In this case 1cm = 17.8 /
160• Multiply by his new number
eg 210 x
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TRIG
Opp
HypSin
Adj
HypCos
Opp
AdjTan
• Right angle triangle• Label sides• Pick correct triangle• Cover up the side you want• If finding angle use the 2ndF
button
Write SOHCAHTOA on the formula page of the paper
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CONES AND SPHERES
Everything you need to know is on the formula sheet on the paper
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