Intermediate 2 Checklist
Unit 1 Outcome 1 – Percentages round numbers and calculations to up to 3 significant figures. increase by a given percentage by multiplying by a number > 1 decrease by a given percentage by multiplying by a number < 1 perform calculations involving appreciation and depreciation calculate compound interest find an original amount given the value after a specific
percentage increase or decrease
Outcome 2 - Volumes use a formula to calculate the volume of a sphere given its
radius or diameter use a formula to calculate the volume of a cone given the radius or diameter of its base, and its height use a formula to calculate the volume of a cylinder given the radius or diameter of its end face, and its height identify prisms and calculate the volume of a cylinder given the area of the end face, and the height of the prism
Outcome 3 – Linear Relationships know and use the gradient formula to find the gradient of a
line joining 2 points on a coordinate grid know that parallel lines have the same gradient know that horizontal lines have zero gradient and vertical lines have infinite gradient sketch a straight line given its equation in form y = mx + c find the gradient and y-intercept of a straight line from its equation in the form y = mx + c determine the equation of a straight line from its graph use other forms of y = mx + c, such as C = aD + n know that equations like ax + by + c = 0 also represent straight lines and rearrange into form y = mx + c
. Done?
Unit 1 (cont’d) Outcome 4 – Perform Algebraic Operations multiply out more than one bracket and simplify more complex
expressions, such as 3(x – 2) – 4(x + 9) multiply out pairs of brackets, such as (x + 3)(6x -5) factorise expressions with algebraic common factors, such as x2 + x = x(x + 1) factorise expressions with combinations of numerical and algebraic common factors, such as 12x2 + 6x = 6x(2x + 1) factorise expressions which have the difference of two squares factorise expressions which have the difference of two squares after having been factorised with a common factor factorise trinomial expressions factorise trinomial expressions where the coefficient of the x2 term is > 1 solve mathematical problems that require factorisation skills
Outcome 5 – Circles find the length of an arc of a circle given the angle at the
centre find the area of a sector of a circle given the angle at the centre know that the angle in a semi-circle is 90 degrees define a tangent to a circle know that the angle between a tangent and a radius is 90 degrees know the bisector of a chord of a circle makes a right angle with the centre of the circle use all the above rules to solve problems involving circles, semi-circles, chords and tangents
. Done?
Unit 2 Outcome 1 – Trigonometry find the sine, cosine and tangent values of angles > 90
degrees, including whether they are positive and negative values find the area of a triangle using ½ bcsinA find the length of a side of a triangle using the sine rule find an angle of a triangle using the sine rule find the length of a side of a triangle using the cosine rule find an angle of a triangle using the cosine rule know when to use sine and cosine rules
Outcome 2 – Simultaneous Equations solve simultaneous equations using graphs of straight lines solve simultaneous equations algebraically (using elimination) use simultaneous equations to solve problems involving two
variables
Outcome 3 – Use Graphs, Charts and Tables construct and interpret tables, graphs, pie charts, and stem &
leaf find the mean, median, mode and range of a data set construct pie charts from raw data using relative frequencies construct and interpret dot plots construct and interpret a cumulative frequency column for an ungrouped frequency table calculate the quartiles and semi-interquartile range from a data set construct and interpret box plots
Outcome 4 – Statistics construct a scatter graph, and use the equation of the line of
best fit to calculate the value of one variable given the other calculate the quartiles and semi-interquartile range from an ungrouped frequency table calculate the standard deviation of a data set calculate probability as a measure of chance between 0 and 1 calculate probability using relative frequency
. Done?
Unit 3 Outcome 1 – Algebraic Operations reduce an algebraic fraction to its simplest form work with algebraic fractions
o o o o
add subtract multiply divide
change the subject of a formula simplify surds use laws of indices to simplify expressions
Outcome 2 – Quadratic Functions determine equations of quadratics from their graphs
o Form y = (x+a)2 + b o Form y = kx2 identify nature and coordinates of turning point, and axis of symmetry from form y = k(x+a)2 + b solve quadratic equations o graphically o by factorising o using quadratic formula
Outcome 3 – Use Further Trigonometry sketch graphs of trigonometric functions
such as y= 5sin30o + 2 identify trigonometric functions from their graphs solve simple trigonometric equations using degrees
. Done?