Intermediate 2 – Check List

Intermediate 2 – Check List – Unit/Mathematics 1

Outcome 1 - Calculations Involving Percentages

C Simple Interest Ex1 P8

C Compound Interest Ex2 P9-10

A/B Compound Interest on a calculator Ex3 P11

C Appreciation and Depreciation Ex4 P12-13

A/B Appreciation and Depreciation Ex5 P14

C Inflation Ex6 P15-16 Q1-5

A/B Inflation Ex6 P16 Q6-10

C Reversing the change -finding the original price if given increased/decreased price Ex7 P17

Outcome 2 – Use Formulae to Find the Volume of Solids

C Calculate the volume of a Sphere Ex1 P20-21

C Calculate the volume of a Cone Ex2 P22-23

C Calculate the Volume of Prisms Ex3/4 P24-28

A/B Calculate the Volume of Prisms Ex4 P26 Q8-10

C Volumes - Mixed examples Ex5 P28-29 Q1-2

A/B Volumes – Composite Shapes Ex5 P29-30 Q3-12

Outcome 3 – Use Linear Relationships

C Drawing graphs given the equation of the line Ex1 P33-34 & Ex3 P38 Q4

C Calculate the Gradient using Vertical/Horizontal Ex2 P36

C Calculate the Gradient using coordinates Ex3 P37-38 Q1-3

C Know that parallel lines have the same gradient Ex3 P39 Q6

C Know that if given the equation of a line y = mx + c that ‘m’ is the gradient and ‘c’ is the y

intercept Ex3 P39 Q5 & Ex4 P41-43

A/B More difficult problems using linear relationships Ex4 P43 Q10-11 Ex5 P45

Outcome 4 – Perform Algebraic Operations

C Removing Brackets Ex1 P48-49 Q1-6

A/B Removing Brackets Ex1 P49 Q7-8

C Multiplying out Pairs of Brackets Ex2 P50-51 Q1-3

A/B Multiplying out Pairs of Brackets Ex2 P50-51 Q4-5

C Finding Factors Ex3 P52

C Factorising - Finding Common Factors Ex4 P53

C Factorising - The Difference of Squares Ex5 P54 Q1-3

A/B Factorising - The Difference of Squares Ex5 P55 Q4

C Factorising - Trinomials (Quadratics) Ex6 P56

A/B Factorising - Trinomials (Quadratics) Ex7 P57

C Factorising – Mixed Examples Ex8 P57

Outcome 5 – Use Properties of the Circle

From Previous Knowledge use and know C = d and A = r2 and recognise

the circumference, diameter, radius, arc and sector

C Calculate the length of an arc Ex1 P60-61 Q1-8

A/B Calculate the length of an arc Ex1 P61 Q9

C Calculate the area of a Sector Ex2 P62-63 Q1-7

A/B Calculate the area of a Sector Ex2 P63 Q8-9

A/B Use the fraction of a circle to calculate other measurements Ex3 P64-65

C Symmetry in the Circle – Looking for Isosceles triangles Ex4 P66-67

A/B Symmetry in the Circle – Using the diameter passing at right angles to a chord Ex5 P68-69

C Know that the angle in a semi-circle is a right angle Ex7 P71-72 Q1-7

A/B Know that the angle in a semi-circle is a right angle Ex7 P71-72 Q8-11

C Know that a Tangent to a circle forms a right angle Ex8 P73-75

Intermediate 2 – Check List

Intermediate 2 – Check List – Unit/Mathematics 2

Outcome 1 – Use Trigonometry

C Area of a Triangle – Using ½ bh and trigonometry Ex3 P99

C Area of a Triangle – Using ½ absinc Ex4 P100-101

C Sine Rule – Finding a Side Ex6 P103-104

A/B Sine Rule – Finding a Side Ex7 P104-105

C Sine Rule – Finding an Angle Ex8 P106

A/B Sine Rule – Finding an Angle Ex9 P107

A/B Sine Rule – Ambiguous Case Ex10 P108-109

C Cosine Rule – Finding a Side Ex 12 P112-113

A/B Cosine Rule – Finding an Angle Ex13 P114-116

A/B Mixed Examples of More Difficult cases Ex14 P117

Outcome 2 – Solve Simultaneous Linear Equations

C Graphically – The equation given Ex1 P121-122 & Ex2 P123-124 Q1-5

A/B Graphically – The equation given Ex2 P123-124 Q6-8

C Graphically – Problem Solving, writing your own equation Ex3 p125-126 Q1-3

A/B Graphically – Problem Solving, writing your own equation Ex3 p125-126 Q4-5

C Substitution Ex4 P127-128

A/B Substitution Ex4 P128 Q8-9

C Elimination Ex5 P130-131

A/B Elimination Ex5 P131 Q7-8

Outcome 3 – Use Graphs, Charts and Tables

From Previous Knowledge know how to draw and interpret stem and leaf diagrams, bar

graphs, line graphs and scatter diagrams – Starting points P134-137

C Calculate Relative Frequency Ex1 P138-139

C Read and Construct Pie Charts Ex 2/3 P140-142

C Use Cumulative Frequency Ex4 P143-144

A/B Draw Cumulative Frequency Diagrams Ex5 P145-146

C Interpret and Draw Dot Plots Ex6 P147-149

C Calculate values for a five figure summary Ex7 P151

C Draw a box plot from a five figure summary Ex8 P152-154

A/B Compare distributions using box plots Ex9 P154-155

Outcome 4 – Use Simple Statistics

From Previous Knowledge know about range. median, mode and mean – Starting

Points P158-161

C Calculate quartiles from a frequency table Ex1 P162

C Calculate quartiles using the cumulative frequency column Ex2 P163-164

C Estimate quartiles from a cumulative frequency diagram Ex3 P166-167

C Calculate the standard deviation Ex4 /5 P169-171

C State the equation of a line of best fit Ex7 P175-176

C State the Probability of an outcome Ex8 P177-178

C Relative Frequency (again) Ex9 P179-180

C Probability form relative frequency Ex P181

Intermediate 2 – Check List

Intermediate 2 – Check List – Unit/Mathematics 3

Outcome 1 – Algebraic Operations

C Simplifying Fractions Ex1 P198-199

C Adding and Subtracting Fractions Ex2 P200

C Multiplying and Dividing Fractions Ex3 P200 Q1-5

A/B Multiplying and Dividing Fractions Ex3 P201 Q6-8

C Changing the Subject of Simple Formulae Ex4 P202-203

A/B Changing the Subject of Simple Formulae Ex5 P204

C

Surds baab , b

a

b

a , baba Ex6 P205

C Simplifying Surds Ex7 P206-207

C Further Simplifying Surds Ex8 P207

C Rationalising the Denominator Ex9 P208

A/B Rationalising the Denominator of the form ba Ex10 P209

C Indicies

nmnm aaa and nmnm aaa Ex11 P209

C More Indicies

n

na

a

1

, 10 a , mnnm aa Ex12 P210-211

C

Fractions as Indicies nn aa

1

Ex13 P211-212 Q1-3

A/B More Fractions as Indicies Ex13 P212 Q4-5

A/B

Fractions as Indicies m nm

n

aa Ex14 P213

Outcome 2 – Quadratic Functions

C Linear Functions Ex1 P216-217

C Quadratic Functions 2axxf and caxxf 2

Ex2 P218-221

C Quadratic Functions 2

bxaxf Ex3 P221-223

A/B Problems With Quadratic Functions Ex4 P223-224

C The General Quadratic Function cbxaxf

2 Ex5 P225

A/B Minimum and Maximum Ex6 P226-227

C Quadratic Function bxaxxf Ex7 P227-228

C Solving Quadratics Graphically Ex8 P228-229

C Solving Quadratics using Factors Ex9 P229-230 Q1-4

A/B Solving Quadratics using Factors Ex9 P230 Q5-6

C Solving Quadratics using a Formulae Ex10 P232

Outcome 3 – Trigonometry

C Sine Function Ex1 P235

C Periodicity Ex 2 P238-240

C Cosine Function Ex3 P241-242

C Tangent Curve Ex4 P243-244

A/B Phase Angle Ex5 P245-247

C Solving Equations Ex6 P249-251

A/B Connections between Tan, Sin, Cos Ex7 P252