Maths AS Unit 3

Maths AS Core 1/Core 2

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Core 1

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Unit

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Week	Details & links	Assessed work / further work
Mon 14th Jan	Tuesday's Lesson Can in integrate simple polynomials (including fractional indices, and also how to treat constants) Know how to include constant of integration Can solve simple differential equations Friday's Lesson Can find the equation of a curve from a given point and the gradient function Can solve simple differential equations given boundary conditions (up to a second derivative)	Ex 10A Page 170 Q1 alternate parts, Q2 alternate parts, Q3 alternate parts, Q7 alternate parts Ex 10B Page 171 Q1, 2, 5, 6, 7, 11
Mon 21st Jan	Tuesday's Lesson (Period 2) Can calculate a definite integral Tuesday's Lesson (Period 3) Can find the area between a curve and an axis by integration Can find areas under the x axis Friday's Lesson Can find the area enclosed between a curve and a line Can find the area enclosed by two curves	Ex 19A Page 330 Q1 a, c Q2 a, c Q3 a, c, e, g, i Q4 a, c, e, g, i Ex 19A Page 330 Q5, 6, 10 Ex 19B Page 337 Q1, 2, 3, 4, 6
Mon 28th Jan	Tuesday's Lesson Can apply the trapezium rule to approximate the area under a curve Can apply the the rule to problems involving tables of values and interpret the results. Friday's Lesson	Ex 19C Page 344 Q1, 2, 4, 6, 7
Mon 4th Feb	Tuesday's Lesson (Period 2) Can convert between log form and exponential form Can simplify logarithmic expressions using the laws of logs Can sketch the graph of an exponential expression Tuesday's Lesson (Period 3) Can change the base of a log Can solve equations involving unknowns in the indices Friday's Lesson Can solve equations involving unknowns in the indices	Ex 18A Page 313 (this can be done orally with the class) Ex 18B Page 316 Q1, 2, 3 (alternate parts) Ex 18C Page 319 Q1 a, d, g, j, m Q2 Ex 18D Page 322 Q1, 2 Ex 18D Page 322 Q3, 4, 6, 7
	HALF TERM
Mon 18th Feb	Tuesday's Lesson Can generate a sequence from a recurrence relation Can find the nth term of a sequence Can expand a summation given in E notation Can write a simple series in E notation Friday's Lesson Can find the common difference, d, for a givne series Can find a particular term of a series Can find the sum of a series	Ex 8A Page 133 Q 1, 2, 3 (alternate parts) Ex 8B Page 135 Q 1, 2, 3 (alternate parts) Ex 8C Page 138 Q1-5 (alternate parts)
Mon 25th Feb	Tuesday's Lesson (Period 2) and Tuesday's Lesson (Period 3) Can use the formulae to find the sum of a series Can find the number of terms in a series Friday's Lesson Can find a particular term of a geometric series Can find the common ratio of a geometric series Can find the sum of the first n terms Can find the number of terms in a series	Ex 8D Page 143 Q1-4 (alternate parts), Q6, 8, 10, 12, 14, 24, 26 Ex 20A Page 356 Q1-4 (alternate parts), Q6, 9, 11, 13, 18
Mon 3rd March	Tuesday's Lesson Knows the conditions for the convergence of a geometric series Can find the sum to infinity of a geometric series Friday's Lesson Can find the centre and radius of a circle from its equation Can find the equation of a circle given its centre and radius Can use completing the square to convert from the general form to the factorised form	Ex 20B Page 361 All Questions Ex 13A Page 209 Q1-4 (alternate parts)
Mon 10th March	Tuesday's Lesson (Period 2) Can determine whether a given equation represents a circle or not Can find the equation from 3 given points on a circle Tuesday's Lesson (Period 3) and Friday's Lesson Can find the equations of tangents and normal to a circle at a given point Can show that a line is a tangent to a circle Can use the properties of tangents to find ranges of values for constants	Ex 13A Page 209 Q5 a, c, e, g, Q6, 8, 9, 10 Ex 13B Q1, 2 a, c, 3 a, 5 a, c, 7, 9, 11
Mon 17th March	Tuesday's Lesson Can use correct notation in proof Can perform simple proof	Ex 11A Page 175 Q1 a, c, e, g, i, 2, 8, 10, 13
	EASTER HOLIDAYS
Mon 7th April	REVISION STARTS Transformation of Graphs Straight Line Equations	Transformation of Graphs Straight Line Equations Jan 2005 Core 1 Paper
Mon 14th April	Surds and Indices Integration	Surds and Indices Integration June 2005 Core 1 Paper Jan 2006 Core 1 Paper
Mon 21st April	Inequalities Simultaneous Equations	Inequalities Simultaneous Equations Core 1 Mock Paper June 2006 Core 1 Paper
Mon 28th April	Arithmetic Series	Arithmetic Series Jan 2007 Core 1 Paper
Mon 5th May	Past Papers	Core 1 Specimen Paper June 2007 Core 1 Paper
Mon 12th May	Past Papers	Jan 2008 Core 1 Paper