12 13 igcse int'l math extended (y1,2) topic overview
- 1. IGCSE International Mathematics Extended Curriculum (Year 1) 2012-13 NUMBER UNIT NAME CONTENT RESOURCES OF LESSONS Algebra – Unit 1 Expand brackets Haese and Harris: 6 Factorise the HCF Some of chapter 1 Solve linear equations (section 1A-1G) Solve word problems by forming H and H: chapter 3 linear equations (all sections except Linear inequalities E) Number – Unit 1 Ratio and Proportion IGCSE Cambridge 2 (Assumed Knowledge) Rounding and significant figures International HCF and LCM Mathematics (0607 Sets of numbers Extended) by Haese Conversions and Harris: 24-hour time “Assumed Knowledge (Number), sections A, C, F.1-F.5, H.1- H.3, I.1, I.2” Also, chapter 3 section E Algebra – Unit 2 Formula substitution Haese and Harris: 3 Rearrange algebraic expressions Chapter 7 (p. 147- Solve systems of simultaneous 168) linear equations algebraically STP Mathematics 3A by Bostock, Shepherd, Chandler, Smith Sets Set notation Haese and Harris: 6 Different types of sets and subsets Chapter 2 (p. 57- Venn diagrams 74) Shade solutions on Vd’s Extended Math for Solve word problems using Vd’s IGCSE by David Rayner
- 2. Geometry – Unit 1 Angle definitions Haese and Harris: 1.5 (Assumed Knowledge) Quadrilaterals “Assumed Triangle congruence Knowledge Line and rotational symmetry (Geometry), sections A,B,C,D,F” Geometry – Unit 2 Angle properties Haese and Harris: 4 Parallel line postulates Chapter 4 (p. 93- Triangles 110) Polygons Geometry – Unit 3 Pythagorean theorem Haese and Harris: 4 Pythagorean triples Chapter 8 (p. 169- Applications in circles and 3-d 189) figures Geometry – Unit 4 Measurement conversion Haese and Harris: 4 Area and perimeter of polygons Chapter 9 (p.191- Circles (area, circumference, 208) sectors) Algebra – Unit 3 Factorisation (difference of 2 Haese and Harris: 4 squares, four terms, quadratic Some of chapter 1 trinomials where a is any integer) (p. 46-56) STP Mathematics 3A by Bostock, Chandler, Shepherd, Smith Algebra - Unit 4 Indice laws (including negative and Haese and Harris: 7 (includes review zero) Chapter 6 (p. 123- day for units 3 and Standard form 145) 4) Surds (basic operations and Algebra 1 Skills properties, simplify, rationalize the Practice by Paul A. denominator) Foerster Probability Relative frequency Haese and Harris: 6 Two-way tables Chapter 25 (p. 507- Expectation 532) Combined events (Or and And rules) Mutually exclusive and
- 3. independent events Tree diagrams (with and without replacement) Number – Unit 2 Percentages Haese and Harris: 6 Profit/loss Chapter 10 (p.209- Simple and compound interest 230) Distance, speed, time, travel graphs Coordinate geometry Coordinate graphs Haese and Harris: 8 Midpoint and distance formulas Chapter 12 (p.258- Gradient of a line 274) Equations of lines (gradient- Haese and Harris: intercept and Chapter 14 (p.297- Parallel and perpendicular lines 312) Lines of symmetry Linear inequalities Trigonometry – Unit 1 Right-angled triangles Haese and Harris: 6 Applications (angle of Chapter 15 elevation/depression, 90 degree (Sections A-C and bearings) E) (p.312-326, 330- Sine Rule (not Ambiguous Case) 331) Cosine Rule Haese and Harris: Chapter 29 (Sections C and D) (p.585-591) Statistics – Unit 1 Interpreting graphs (bar chart, line Haese and Harris: 4 graph, pie chart, stem and leaf, Chapter 13 (p.278- scatter diagram) 293) Discrete and continuous data Measures of spread (including quartiles) Frequency tables Grouped data
- 4. IGCSE International Mathematics Extended Curriculum (Year 2) 2011-12 NUMBER UNIT NAME CONTENT RESOURCES OF LESSONS Simplify Haese and Harris: Algebraic Fractions Multiply/Divide 4 Ch 16 Add/Subtract Shading on Cartesian plane Inequalities H and H: Ch 32A-C 1 Integer solutions within regions Histograms Cumulative frequency H and H: Ch 17B Statistics Unit 2 Correlation and C 4 Line of best fit H and H: Ch 22A-C Regression line Translations Reflections H and H: Ch 20A- 9 (includes review Transformations Rotations H day) Enlargements/reductions Stretches Functions – Unit 1 Mappings H and H: Ch 19A-F 4 Domain/range Vertical line test Function notation Composite functions Reciprocal functions Absolute value functions Functions – Unit 2 Solve quadratic equations H and H: Ch 21A-J 7 Discriminant Law (number of solutions determined by the discriminant) Null Factor Law Quadratic Formula Quadratic functions and their graphs Transformations of quadratics Finding a quadratic function
- 5. Geometry – Unit 5 Similar sides of 2D figures Haese and Harris: 8 (includes review Similar triangles Ch 18 day) Problem solving H and H: Ch 11 Area/Volume of similar shapes Circles Circle theorems H and H: Ch 27A-B 2 Cyclic quadrilaterals Vectors Different types of vectors H and H: Ch 24A - 4 Addition/Subtraction H Magnitude Column vector/component form Parallel/perpendicular vectors Vectors in geometry Functions – Unit 3 Behavior of cubics H and H: Ch 23A-D 6 Find the cubic function *** other IGCSE Inverses text for cubics Solving and graphing unfamiliar functions Tangents to curves Exponential Functions Evaluate numbers in exponential H and H: Ch 28 A- 2 form and surd form (with and D without a calculator) Calculate values of exponential functions Solve exponential functions Application problems Logarithms Logarithmic and exponential H and H: Ch 31 A- 2 statements E Log functions and graphs Inverse of a log function Rules for logs Solve log equations Trig Exact values for multiples of 30, 45, H and H: Ch 15 5 60 and 90 (sections D.2 and Area of any triangle F) 3-D applications H and H: Ch29 Bearings using Sine and Cosine (sections A.2, B, rules C.2 ambiguous
- 6. Compound shapes case only, E – H) Graphs of sine, cosine and tangent Find solutions to trig equations using graph and analytically Parameters a and b and how they affect the graphs Sequences Variation