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##### KEY STAGE 4

Cambridge IGCSE | CODE: 0607

##### YEAR 11

SPECIFICATION : Core/Extended

##### LONG TERM PLAN

Date : 06/07/2020

TERM 1 (14 Weeks) Sept 1 – Dec 15 IGCSE MATHS LESSONS PLAN
Unit 1 – Number
WK 1 Lesson 01:

Getting started. Introductions, expectations and course outline. Study habits/best practices/advice

Lesson 02:

Identify and use natural numbers. Understand notation of Venn diagrams. Definition of sets.

Lesson 03:

Squares, square roots, cubes and cube roots and other powers and roots of numbers. Use the language and notation of simple fractions and percentages. Equivalence and conversion.

WK 2 Lesson 01:

Order quantities by magnitude and demonstrate familiarity with the symbols. Indices (fractional, negative and zero) and use the rules of indices. Use the standard form and the four rules for calculations.

Lesson 02:

Estimates of numbers, quantities and lengths. Upper and lower bounds for data

Lesson 03:

Ratio and proportion. Percentages, Time and Money.

WK 3 Lesson 01:

Simple interest and compound interest. Exponential growth and decay.

Lesson 02:

Review of Unit 1

Lesson 03:

Assessment on Unit 1 Discussion/Questions/Concerns

UNIT 2 – Algebra and graphs
WK 4 Lesson 01:

Review unit 1 assessment/Help with any misconception
Use letters to express generalised numbers. Construct and rearrange complicated formulae and equations. Manipulate directed numbers. Use brackets and extract common factors.

Lesson 02:

Expand products of algebraic expressions. Factorise where possible expressions. Manipulate algebraic fractions. Factorise and simplify rational expressions.

Lesson 03:

Positive, negative and zero indices. Use and interpret fractional indices. Use the rules of indices. Derive and solve linear equations in one unknown. Derive and solve simultaneous linear equations in two unknowns

WK 5 Lesson 01:

Derive and solve simultaneous equations, involving one linear and one quadratic Derive and solve quadratic equations by actorization, completing the square and by use of the formula. Derive and solve linear inequalities.

Lesson 02:

Represent inequalities graphically and use this representation to solve simple linear programming problems. Number sequence. Patterns in sequences including the term to term rule and relationships between different sequences. Find and use the nth term of sequences.

Lesson 03:

Direct and inverse proportion. Function notation. Inverse functions. Composite functions. Interpret and use graphs.

WK 6 Lesson 01:

Construct tables of values for functions. Draw and interpret these graphs. Distance–time and speed–time graphs, acceleration and deceleration. Calculate distance travelled as area under a speed–time graph. Estimate gradients of curves by drawing tangents. Understand the idea of a derived function.

Lesson 02:

Review of Unit 2

Lesson 03:

Assessment of unit 2 Discussion/Questions/Concerns

Unit 3 – Coordinate geometry
WK 7 Lesson 01:

Review unit 2 assessment/Help with any misconception
Cartesian coordinates in two dimensions.

Lesson 02:

Gradient of a straight line. Gradient of a straight line from the coordinates of two points on it

Lesson 03:

Coordinates of the midpoint of a straight line from the coordinates of its end points. Interpret and obtain the equation of a straight line graph.

WK 8 Lesson 01:

Determine the equation of a straight line parallel to a given line. Find the gradient of parallel and perpendicular lines.

Lesson 02:

Review of unit 3

Lesson 03:

Assessment of Unit 3 Discussion/Questions/Concerns

Unit 4 - Geometry
WK 9 Lesson 01:

Review unit 3 assessment/Help with any misconception
Use and interpret the geometrical terms

Lesson 02:

Measure and draw lines and angles. Scale drawings.

Lesson 03:

Calculate lengths of similar figures. Congruence criteria for triangles.

WK 10 Lesson 01:

Rotational and line symmetry. Symmetry properties of the prism.

Lesson 02:

Symmetry properties of circles. Calculate unknown angles using the various geometrical properties.

Lesson 03:

Calculate unknown angles using the various geometrical properties. (Continued)

WK 11 Lesson 01:

Calculate unknown angles using the various geometrical properties. (Continued)

Lesson 02:

Review of Unit 4

Lesson 03:

Assessment of Unit 4 Discussion/Questions/Concerns

Unit 5 - Mensuration
WK 12 Lesson 01:

Review unit 4 assessment/Help with any misconception
Use current units of mass, length, area, volume and capacity.

Lesson 02:

Calculations involving the perimeter and area of a rectangle, triangle, parallelogram and trapezium and compound shapes. Calculations involving the circumference and area of a circle.

Lesson 03:

Calculations involving the surface area and volume of a cuboid, prism and cylinder.

WK 13 Lesson 01:

Calculations involving the surface area and volume of a cuboid, prism and cylinder. (Continued) Calculations involving the areas and volumes of compound shapes.

Lesson 02:

Review of unit 5

Lesson 03:

Assessment of Unit 5 Discussion/Questions/Concerns

Unit 6 - Trigonometry
WK 14 Lesson 01:

Review unit 5 assessment/Help with any misconception. Interpret and use three-figure bearings. Pythagoras’ theorem and the sine, cosine and tangent ratios.

Lesson 02:

Pythagoras’ theorem and the sine, cosine and tangent ratios. (Continued) Recognise, sketch and interpret graphs of simple trigonometric functions.

Lesson 03:

Solve simple trigonometric equations for values between 0° and 360°. Using the sine and cosine rules.

TERM 2 (12 Weeks) Jan 2 – Apl1 IGCSE MATHS LESSONS PLAN
WK 15 Lesson 01:

Recap first week of Trigonometry Solve simple trigonometrical problems in three dimensions including angle between a line and a plane.

Lesson 02:

Review of Unit 6

Lesson 03:

Assessment of Unit 6 Discussion/Questions/Concerns

Unit 7 - Vectors and transformations
WK 16 Lesson 01:

Review unit 6 assessment/Help with any misconception.
Describe a translation by using a vector

Lesson 02:

Add and subtract vectors. Multiply a vector by a scalar.

Lesson 03:

Reflect and rotate simple plane figures

WK 17 Lesson 01:

Calculate the magnitude of a vector. Use position vectors.

Lesson 02:

Review of Unit 7

Lesson 03:

Assessment of Unit 7 Discussion/Questions/Concerns

Unit 8 - Probability
WK 18 Lesson 01:

Review unit 7 assessment/Help with any misconception.
Calculate the probability of a single event as either a fraction, decimal or percentage. Understand and use the probability scale from 0 to 1.

Lesson 02:

Understand that the probability of an event occurring = 1 – the probability of the event not occurring.

Lesson 03:

Understand relative frequency as an estimate of probability.

WK 19 Lesson 01:

Expected frequency of occurrences.

Lesson 02:

Calculate the probability of simple combined events, using possibility diagrams, tree diagrams and Venn diagrams.

Lesson 03:

Calculate conditional probability using Venn diagrams, tree diagrams and tables.

WK 20 Lesson 01:

Calculate conditional probability using Venn diagrams, tree diagrams and tables. (Continued)

Lesson 02:

Review of Unit 8

Lesson 03:

Assessment of Unit 8 Discussion/Questions/Concerns

Unit 9 - Statistics
WK 21 Lesson 01:

Review unit 8 assessment/Help with any misconception
Collect, classify and tabulate statistical data.

Lesson 02:

Read, interpret and draw inferences from tables and statistical diagrams. Compare sets of data using tables, graphs and statistical measures.

Lesson 03:

Construct and interpret bar charts, pie charts, pictograms, stem-and-leaf diagrams, simple frequency distributions, histograms with equal and unequal intervals and scatter diagrams.

WK 22 Lesson 01:

Calculate the mean, median, mode and range for individual and discrete data. Calculate an estimate of the mean for grouped and continuous data.

Lesson 02:

Identify the modal class from a grouped frequency distribution. Construct and use cumulative frequency diagrams.

Lesson 03:

Estimate and interpret the median, percentiles, quartiles and interquartile range. Understand what is meant by positive, negative and zero correlation with reference to a scatter diagram.

WK 23 Lesson 01:

Draw, interpret and use lines of best fit by eye.

Lesson 02:

Review of Unit 9

Lesson 03:

Assessment of Unit 9 Discussion/Questions/Concerns

Mock Exams
WK 24 Lesson 01:

Review unit 8 assessment/Help with any misconception
Review expectations/Mental prep for Mock exams/Tools/Requirement

Lesson 02:

Mock Exam 1

Lesson 03:

Mock Exam 1 continues

WK 25 Lesson 01:

Mock Exams 2

Lesson 02:

Mock Exams 2 continues.

Lesson 03:

Review Mock Exams/Help with any misconception.

WK 26 Lesson 01:

Review Mock Exams/Help with any misconception.

Lesson 02:

Review Mock Exams/Help with any misconception.

Lesson 03:

Review Mock Exams/Help with any misconception.

TERM 3 (6 Weeks) Apl 11 – May 14 IGCSE MATHS LESSONS PLAN
WK 27

Revision and Practice exam past papers

WK 28

Revision and Practice exam past papers

WK 29

Revision and Practice exam past papers

WK 30

Revision and Practice exam past papers

WK 31

Revision and Practice exam past papers

WK 32

Revision and Practice/End of course