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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 Presentation
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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 102
Use the exp button on the calculator
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
FRACTIONS OF
• Fraction of – divide by the bottom, times by the top.
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.
ANGLES
• Parallel lines- look for FUZ:
CorrespondingInteriorAlternate• Bearings measure
clockwise from North
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
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
VOLUME
• Prisms – Area of front x length
EXPANDING BRACKETS
• Two brackets together – eyebrows and smiley face are 4 multiplies
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
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
CIRCLE ANGLES
The angle between a tangent and a radius is 90o
SCATTER DIAGRAMS
• Plot the points• Line of best fit• Positive and
negative correlation
SIMPLE PROBABILITY
• Probabilities add to 1
• Multiply the probability by the number of times
MEAN FROM A TABLE
• Multiply frequency by the value
• Divide this total by total frequency
QUESTIONNAIRES
• Look for a time limit in the question
• Overlap between the choices
• Any missing choices?
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)
CUMULATIVE FREQUENCY
• Running total• Plot end points against
cumulative frequency• Measure median and
quartiles
ESTIMATE OF THE MEAN
• 2 extra columns• Use mid point of
groups• Mid point x
frequency• Big total divided by
little total
HISTOGRAMS
• Frequency density is freq divided by class width
• The area of a bar is the frequency
PERCENTAGES
• 1% - divide by 100• 10% - divide by 10• % change is change / original x
100%
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
CALCULATOR WORK
• Work out the top• Work out the bottom• Top divided by the bottom
RATIO
• RATIO 2:3 MEANS 2+3 = 5 PARTS
• FIND THE VALUE OF 1 PART
PYTHAGORAS
• TAKE THE 2 NUMBERS• SQUARE• SQUARE• ADD OR SUBTRACT• SQUARE ROOT
TREE DIAGRAMS
• Each V adds to 1
• Multiply alon g the branches
TRAVEL GRAPH
Away from home
Stops
Journey home
Speed
Distance
Time
POLYGON ANGLES
Interior angle is180 – exterior angle
INEQUALITIES
3 included, filled circle-2 not
included, empty circle
• Integer means whole number
• Solve like an equation
ENLARGEMENT
Scale factor x3
Count across and up from the centre
Times this by 3 from the centre
Negative enlargement goes the opposite way
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
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
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
VECTORS
• Go from A to B• Only use a and b• -a+b or b-a
PLOTTING GRAPHS
• Complete table of values
• Plot points on grid• Join points together
to make a graph
PROPORTION
• Get 1 by dividing• In this case 1cm = 17.8 /
160• Multiply by his new number
eg 210 x
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
CONES AND SPHERES
Everything you need to know is on the formula sheet on the paper