Grade 10 Syllabus for Algebra II and Trig Mathematics

#	TOPIC	TITLE
1	Self Assessment	Self Assessment – MYP Grade 10 – 1 Algebra II & Trig
2	Coordinate Geometry-the plane	Distance formula.
3	Coordinate Geometry-midpoint, slope	Mid-point formula
4	Coordinate Geometry-gradient	Gradient
5	Coordinate Geometry-gradient	Gradient formula.
6	Coordinate Geometry-straight line	The straight line.
7	Coordinate Geometry-slope, etc.	Lines through the origin.
8	Coordinate Geometry-equation of line	General form of a line and the x and y Intercepts.
9	Coordinate Geometry-intercept	Slope intercept form of a line.
10	Coordinate Geometry-point slope	Point slope form of a line
11	Statistics	Scatter Diagrams
12	Co-ordinate Geometry-Two point formula	Two point formula: equation of a line which joins a pair of points.
13	Co-ordinate Geometry-Intercept form	Intercept form of a straight line: find the equation when given x and y
14	Co-ordinate Geometry-Parallel lines equations	Parallel lines: identify equation of a line parallel to another
15	Co-ordinate Geometry-Perpendicular lines	Perpendicular lines.
16	Co-ordinate Geometry-Inequalities	Inequalities on the number plane.
17	Uniform motion	Average speed
18	Uniform motion	Using subscripted variables
19	Uniform motion	Uniform motion with equal distances
20	Uniform motion	Uniform motion adding the distances
21	Uniform motion	Uniform motion with unequal distances
22	Uniform motion	Uniform motion of all types
23	Absolute value equations	Absolute value equations
24	Functions	Definition, domain and range
25	Functions	Notation and evaluations
26	Functions	More on domain and range
27	Functions	Domain and range from graphical representations
28	Functions	Evaluating and graphing piecewise functions
29	Simultaneous equns	Simultaneous equations
30	Simultaneous equns	Elimination method
31	Simultaneous equns	Elimination method part 2
32	Simultaneous equns	Applications of simultaneous equations
33	Simultaneous equations	Number of solutions (Stage 2)
34	Vectors	2 vector addition in 2 and 3D (stage 2)
35	Linear systems	Optimal solutions (Stage 2) – Vectors
36	Linear systems	Linear systems with matrices (Stage 2)
37	Linear systems	Row-echelon form (Stage 2)
38	Algebraic equations	Solving equations containing binomial expressions
39	Algebraic equations	Equations involving grouping symbols.
40	Algebraic equations	Equations involving fractions.
41	Algebra- formulae	Equations resulting from substitution into formulae.
42	Algebra- formulae	Changing the subject of the formula.
43	Algebra-inequalities	Solving Inequalities.
44	Absolute value or modulus	Simplifying absolute values
45	Absolute value or modulus	Solving for the variable
46	Absolute value or modulus	Solving and graphing inequalities
47	Surds	Introducing surds
48	Surds	Some rules for the operations with surds
49	Surds	Simplifying surds
50	Surds	Creating entire surds
51	Surds	Adding and subtracting like surds
52	Surds	Expanding surds
53	Surds	Binomial expansions
54	Functions and graphs	Quadratic polynomials of the form y = ax. + bx + c.
55	Functions and graphs	Graphing perfect squares: y=(a-x) squared
56	Graphing roots	Graphing irrational roots
57	Coordinate geometry	Solve by graphing
58	Graphing binomials	Binomial products.
59	Graphing binomials	Binomial products with negative multiplier
60	Graphing binomials	Binomial products [non-monic].
61	Squaring binomial	Squaring a binomial. [monic]
62	Squaring binomial	Squaring a binomial [non-monic].
63	Factorising	Expansions leading to the difference of two squares
64	Algebraic expressions-products	Products in simplification of algebraic expressions
65	Algebraic expressions-larger expansions	Algebraic Expressions – Larger expansions.
66	Algebra-highest common factor	Highest common factor.
67	Factors by grouping	Factors by grouping.
68	Difference of 2 squares	Difference of two squares
69	Common fact and diff	Common factor and the difference of two squares
70	Quadratic trinomials	Quadratic trinomials [monic] – Case 1.
71	Factorising quads	Factorising quadratic trinomials [monic] – Case 2.
72	Factorising quads	Factorising quadratic trinomials [monic] – Case 3.
73	Factorising quads	Factorising quadratic trinomials [monic] – Case 4.
74	Factorising quads	Factorisation of non-monic quadratic trinomials
75	Factorising quads	Factorisation of non-monic quadratic trinomials – moon method
76	Quadratic equations	Introduction to quadratic equations.
77	Quadratic equations	Quadratic equations with factorisation.
78	Quadratic equations	Solving quadratic equations.
79	Quadratic equations	Completing the square
80	Quadratic equations	Solving quadratic equations by completing the square
81	Quadratic equations	The quadratic formula
82	Quadratic equations	Problem solving with quadratic equations
83	Quadratic equations	Solving simultaneous quadratic equations graphically
84	Motion under acceleration	Motion under gravity – objects in vertical motion
85	Motion under acceleration	Introducing initial velocity
86	Algebra-polynomials	Introduction to polynomials
87	Algebra-polynomials	The sum, difference and product of two polynomials.
88	Algebra-polynomials	Polynomials and long division.
89	Remainder theorem	The remainder theorem.
90	Remainder theorem	More on remainder theorem
91	Factor theorem	The factor theorem
92	Factor theorem	More on the factor theorem
93	Factor theorem	Complete factorisations using the factor theorem
94	Polynomial equations	Polynomial equations
95	Graphs, polynomials	Graphs of polynomials
96	Statistics	Frequency distribution table
97	Statistics	Frequency histograms and polygons
98	Statistics	Relative frequency
99	Statistics	The range.
100	Statistic-probability	The mode
101	Statistic-probability	The mean
102	Statistic-probability	The median
103	Statistic-probability	Cumulative frequency
104	Statistic-probability	Calculating the median from a frequency distribution
105	Statistics – grouped data	Calculating mean, mode and median from grouped data
106	Statistics using a calculator	Statistics and the student calculator
107	Statistics – Range and dispersion	Range as a measure of dispersion
108	Statistics – Spread	Measures of spread
109	Statistics – Standard deviation	Standard deviation applications
110	Statistics – Standard deviation	Normal distribution
111	Statistics – Interquartile range	Measures of spread: the interquartile range
112	Statistics	Stem and Leaf Plots along with Box and Whisker Plots
113	Rules for indices/exponents	Adding indices when multiplying terms with the same base
114	Rules for indices/exponents	Subtracting indices when dividing terms with the same base
115	Rules for indices/exponents	Multiplying indices when raising a power to a power
116	Rules for indices/exponents	Multiplying indices when raising to more than one term
117	Rules for indices/exponents	Terms raised to the power of zero
118	Rules for indices/exponents	Negative Indices
119	Fractional indices/exponents	Fractional indices
120	Fractional indices/exponents	Complex fractions as indices
121	Graphing-polynomials	Graphing complex polynomials: quadratics with no real roots
122	Graphing-polynomials	General equation of a circle: determine and graph the equation
123	Graphing-cubic curves	Graphing cubic curves
124	Rect.hyperbola	The rectangular hyperbola.
125	Exponential function	The exponential function.
126	Log functions	Logarithmic functions.
127	Logarithms-Power of 2	Powers of 2.
128	Logarithms-Equations and logs	Equations of type log x to the base 3 = 4.
129	Logarithms-Equations and logs	Equations of type log 32 to the base x = 5.
130	Logarithms-Log laws	Laws of logarithms.
131	Logarithms-Log laws expansion	Using the log laws to expand logarithmic expressions.
132	Logarithms-Log laws simplifying	Using the log laws to simplify expressions involving logarithms.
133	Logarithms-Log laws numbers	Using the log laws to find the logarithms of numbers.
134	Logarithms-Equations and logs	Equations involving logarithms.
135	Logarithms-Logs to solve equations	Using logarithms to solve equations.
136	Logarithms-Change base formula	Change of base formula
137	Logarithms-Graph-log curve	The graph of the logarithmic curve
138	Logarithms-Log curves	Working with log curves.
139	Sequences and Series-Geometric means	Geometric means.
140	Sequences and Series-Sum of gp	The sum to n terms of a G.P.
141	Sequences and Series-Sigma notation	Sigma notation
142	Sequences and Series-Sum-infinity	Limiting sum or sum to infinity.
143	Sequences and Series-Recurring decimal infinity	Recurring decimals and the infinite G.P.
144	Sequences and Series-Compound interest	Compound interest
145	Sequences and Series-Superannuation	Superannuation.
146	Sequences and Series-Time payments	Time payments.
147	Sequences and Series	Applications of arithmetic sequences
148	Functions	Functions combinations
149	Functions	Composition of functions
150	Functions	Inverse functions
151	Functions	Rational functions Part 1
152	Functions	Rational functions Part 2
153	Functions	Parametric equations (Stage 2)
154	Functions	Polynomial addition etc in combining and simplifying functions (Stage 2)
155	Functions	Parametric functions (Stage 2)
156	Algebraic fractions	Simplifying algebraic fractions using the index laws.
157	Algebra-negative indices	Algebraic fractions resulting in negative indices.
158	Factorisation	Factorisation of algebraic fractions including binomials.
159	Algebraic fractions-binomial	Cancelling binomial factors in algebraic fractions.
160	Algebraic fractions	Simplifying algebraic fractions.
161	Statistic-probability	Probability of Simple Events
162	Statistic-probability	Rolling a pair of dice
163	Statistic-probability	Experimental probability
164	Statistic-probability	Tree diagrams – not depending on previous outcomes
165	Statistic-probability	Tree diagrams – depending on previous outcomes
166	Statistic-probability	The complementary result ..
167	Statistic-probability	P[A or B] When A and B are both mutually and NOT mutually exclusive
168	Statistic-probability	Binomial Theorem – Pascal’s Triangle
169	Statistic-probability	Binomial probabilities using the Binomial Theorem
170	Statistic-probability	Counting techniques and ordered selections – permutations
171	Statistic-probability	Unordered selections – combinations
172	Trigonometry-ratios	Trigonometric ratios.
173	Trigonometry-ratios	Using the calculator.
174	Trigonometry-ratios	Using the trigonometric ratios to find unknown length. [Case 1 Sine].
175	Trigonometry-ratios	Using the trigonometric ratios to find unknown length. [Case 2 Cosine].
176	Trigonometry-ratios	Using the trigonometric ratios to find unknown length. [Case 3 Tangent Ratio].
177	Trigonometry-ratios	Unknown in the denominator. [Case 4].
178	Trigonometry-compass	Bearings – the compass.
179	Trigonometry-elevation	Angles of elevation and depression.
180	Trigonometry-practical	Trigonometric ratios in practical situations.
181	Trigonometry-ratios	Using the calculator to find an angle given a trigonometric ratio.
182	Trigonometry- ratios	Using the trigonometric ratios to find an angle in a right-angled triangle.
183	Trigonometry-exact ratios	Trigonometric ratios of 30., 45. and 60. – exact ratios.
184	Trigonometry-cosine rule	The cosine rule to find an unknown side. [Case 1 SAS].
185	Trigonometry-cosine rule	The cosine rule to find an unknown angle. [Case 2 SSS].
186	Trigonometry-sine rule	The sine rule to find an unknown side. Case 1.
187	Trigonometry-sine rule	The sine rule to find an unknown angle. Case 2.
188	Trigonometry-areas	The area formula
189	Trig-reciprocal ratios	Reciprocal ratios.
190	Trig complementary angles	Complementary angle results.
191	Trig identities	Trigonometric identities
192	Trig larger angles	Angles of any magnitude
193	Trig larger angles	Trigonometric ratios of 0°, 90°, 180°, 270° and 360°
194	Graph sine	Graphing the trigonometric ratios – I Sine curve.
195	Graph cosine	Graphing the trigonometric ratios – II Cosine curve.
196	Graphs tan curve	Graphing the trigonometric ratios – III Tangent curve.
197	Graph reciprocals	Graphing the trigonometric ratios – IV Reciprocal ratios.
198	Trig larger angles	Using one ratio to find another.
199	Trig equations	Solving trigonometric equations – Type I.
200	Trig equations	Solving trigonometric equations – Type II.
201	Trig equations	Solving trigonometric equations – Type III.
202	Polar coordinates	Plotting polar coordinates and converting polar to rectangular
203	Polar coordinates	Converting rectangular coordinates to polar form
204	Exam	Exam – MYP Grade 10 – 1 Algebra II & Trig

Grade 10 Syllabus for Algebra II and Trig Hons Mathematics

#	TOPIC	TITLE
1	Self Assessment	Self Assessment – MYP Grade 10 – 2 Algebra II & Trig Hons
2	Trigonometry-ratios	Using the trigonometric ratios to find unknown length. [Case 1 Sine].
3	Trigonometry-ratios	Using the trigonometric ratios to find unknown length. [Case 2 Cosine].
4	Trigonometry-ratios	Using the trigonometric ratios to find unknown length. [Case 3 Tangent Ratio].
5	Trigonometry-ratios	Unknown in the denominator. [Case 4].
6	Trigonometry-practical	Trigonometric ratios in practical situations.
7	Trigonometry-ratios	Using the calculator to find an angle given a trigonometric ratio.
8	Trigonometry- ratios	Using the trigonometric ratios to find an angle in a right-angled triangle.
9	Trigonometry-cosine rule	The cosine rule to find an unknown angle. [Case 2 SSS].
10	Trigonometry-sine rule	The sine rule to find an unknown side. Case 1.
11	Trigonometry-sine rule	The sine rule to find an unknown angle. Case 2.
12	Trigonometry-areas	The area formula
13	Number theory – sets	Number sets and their members
14	Number theory – operations	Properties of real numbers using addition and multiplication
15	Number theory – equations	Transformations that produce equivalent equations
16	Fractions	Subtracting fractions from whole numbers
17	Fractions	Adding and subtracting fractions with the same denominator
18	Fractions	Adding and subtracting fractions with different denominators
19	Fractions	Multiplying fractions by whole numbers
20	Fractions	Fractions of whole numbers
21	Fractions	Multiplying fractions
22	Fractions	Multiplying mixed numbers (mixed numerals)
23	Fractions	Finding reciprocals of fractions and mixed numbers (mixed numerals)
24	Fractions	Dividing fractions
25	Fractions	Dividing mixed numbers (mixed numerals)
26	Rules properties	Using Order of Operation procedures (BIDMAS) with Fractions
27	Percentages	Calculating Percentages and Fractions of Quantities
28	Percentages	Introduction to percentages, including relating common fractions to percentages
29	Percentages	Changing fractions and decimals to percentages using tenths and hundredths
30	Percentages	Changing percentages to fractions and decimals
31	Percentages	One quantity as a percentage of another
32	Surds	Introducing surds
33	Surds	Some rules for the operations with surds
34	Surds	Simplifying surds
35	Surds	Creating entire surds
36	Surds	Adding and subtracting like surds
37	Surds	Expanding surds
38	Algebraic equations	Solving equations containing addition and subtraction
39	Algebraic equations	Solving equations containing multiplication and division
40	Algebraic equations	Solving two step equations
41	Algebraic equations	Solving equations containing binomial expressions
42	Algebraic equations	Equations involving grouping symbols.
43	Algebraic equations	Equations involving fractions.
44	Algebra- formulae	Equations resulting from substitution into formulae.
45	Algebra- formulae	Changing the subject of the formula.
46	Algebra-inequalities	Solving Inequalities.
47	Algebra-factorising	Simplifying easy algebraic fractions.
48	Algebraic fractions	Simplifying algebraic fractions using the index laws.
49	Algebra-negative indices	Algebraic fractions resulting in negative indices.
50	Factorisation	Factorisation of algebraic fractions including binomials.
51	Algebraic fractions-binomial	Cancelling binomial factors in algebraic fractions.
52	Absolute value or modulus	Simplifying absolute values
53	Absolute value or modulus	Solving for the variable
54	Absolute value or modulus	Solving and graphing inequalities
55	Algebra-highest common factor	Highest common factor.
56	Factors by grouping	Factors by grouping.
57	Difference of 2 squares	Difference of two squares
58	Common fact and diff	Common factor and the difference of two squares
59	Quadratic trinomials	Quadratic trinomials [monic] – Case 1.
60	Factorising quads	Factorising quadratic trinomials [monic] – Case 2.
61	Factorising quads	Factorising quadratic trinomials [monic] – Case 3.
62	Factorising quads	Factorising quadratic trinomials [monic] – Case 4.
63	Factorising quads	Factorisation of non-monic quadratic trinomials
64	Factorising quads	Factorisation of non-monic quadratic trinomials – moon method
65	Sum/diff 2 cubes	Sum and difference of two cubes.
66	Algebraic fractions	Simplifying algebraic fractions.
67	Quadratic equations	Introduction to quadratic equations.
68	Quadratic equations	Quadratic equations with factorisation.
69	Quadratic equations	Solving quadratic equations.
70	Quadratic equations	Completing the square
71	Quadratic equations	Solving quadratic equations by completing the square
72	Quadratic equations	The quadratic formula
73	Quadratic equations	Problem solving with quadratic equations
74	Quadratic equations	Solving simultaneous quadratic equations graphically
75	Algebra-polynomials	Introduction to polynomials
76	Algebra-polynomials	The sum, difference and product of two polynomials.
77	Rules for indices/exponents	Adding indices when multiplying terms with the same base
78	Rules for indices/exponents	Subtracting indices when dividing terms with the same base
79	Rules for indices/exponents	Multiplying indices when raising a power to a power
80	Rules for indices/exponents	Multiplying indices when raising to more than one term
81	Rules for indices/exponents	Terms raised to the power of zero
82	Rules for indices/exponents	Negative Indices
83	Fractional indices/exponents	Fractional indices
84	Fractional indices/exponents	Complex fractions as indices
85	Graphing-polynomials	Graphing complex polynomials: quadratics with no real roots
86	Graphing-polynomials	General equation of a circle: determine and graph the equation
87	Graphing-cubic curves	Graphing cubic curves
88	Absolute value equations	Absolute value equations
89	Rect.hyperbola	The rectangular hyperbola.
90	Exponential function	The exponential function.
91	Log functions	Logarithmic functions.
92	Functions	Definition, domain and range
93	Functions	Notation and evaluations
94	Functions	More on domain and range
95	Functions	Domain and range from graphical representations
96	Functions	Evaluating and graphing piecewise functions
97	Functions	Functions combinations
98	Functions	Composition of functions
99	Functions	Inverse functions
100	Circle Geometry	Theorem – Equal arcs on circles of equal radii subtend equal angles at the centre. Theorem – Equal angles at the centre of a circle on equal arcs.
101	Circle Geometry	Theorem – The perpendicular from the centre of a circle to a chord bisects the chord. Theorem – The line from the centre of a circle to the mid-point of the chord is perpendicular to the chord.
102	Circle Geometry	Theorem – Equal chords in equal circles are equidistant from the centres. Theorem – Chords in a circle which are equidistant from the centre are equal.
103	Circle Geometry	Theorem – The angle at the centre of a circle is double the angle at the circumference standing on the same arc.
104	Circle Geometry	Theorem – Angles in the same segment of a circle are equal.
105	Circle Geometry	Theorem – The angle of a semi-circle is a right angle.
106	Circle Geometry	Theorem – The opposite angles of a cyclic quadrilateral are supplementary.
107	Circle Geometry	Theorem – The exterior angle at a vertex of a cyclic quadrilateral equals the interior opposite angle.
108	Circle Geometry	Theorem – The tangent to a circle is perpendicular to the radius drawn to it at the point of contact.
109	Circle Geometry	Theorem – Tangents to a circle from an external point are equal.
110	Circle Geometry	Theorem – The angle between a tangent and a chord through the point of contact is equal to the angle in the alternate segment.
111	Trigonometry-exact ratios	Trigonometric ratios of 30., 45. and 60. – exact ratios.
112	Trigonometry-cosine rule	The cosine rule to find an unknown side. [Case 1 SAS].
113	Trig-reciprocal ratios	Reciprocal ratios.
114	Trig complementary angles	Complementary angle results.
115	Trig identities	Trigonometric identities
116	Trig larger angles	Angles of any magnitude
117	Trig larger angles	Trigonometric ratios of 0°, 90°, 180°, 270° and 360°
118	Graph sine	Graphing the trigonometric ratios – I Sine curve.
119	Graph cosine	Graphing the trigonometric ratios – II Cosine curve.
120	Graphs tan curve	Graphing the trigonometric ratios – III Tangent curve.
121	Graph reciprocals	Graphing the trigonometric ratios – IV Reciprocal ratios.
122	Trig larger angles	Using one ratio to find another.
123	Trig equations	Solving trigonometric equations – Type I.
124	Statistics	Frequency distribution table
125	Statistics	Frequency histograms and polygons
126	Statistics	Relative frequency
127	Statistics	The range.
128	Statistic-probability	The mode
129	Statistic-probability	The mean
130	Statistic-probability	The median
131	Statistic-probability	Cumulative frequency
132	Statistic-probability	Calculating the median from a frequency distribution
133	Statistic-probability	Probability of Simple Events
134	Statistic-probability	Rolling a pair of dice
135	Statistic-probability	Experimental probability
136	Statistic-probability	Tree diagrams – not depending on previous outcomes
137	Statistic-probability	Tree diagrams – depending on previous outcomes
138	Statistic-probability	The complementary result ..
139	Statistic-probability	P[A or B] When A and B are both mutually and NOT mutually exclusive
140	Statistic-probability	Binomial Theorem – Pascal’s Triangle
141	Sequences and Series	General sequences.
142	Sequences and Series	Finding Tn given Sn.
143	Arithmetic Progression	The arithmetic progression
144	Arithmetic Progression	Finding the position of a term in an A.P.
145	Arithmetic Progression	Given two terms of A.P., find the sequence.
146	Arithmetic Progression	Arithmetic means
147	Arithmetic Progression	The sum to n terms of an A.P.
148	Geometric Progression	The geometric progression.
149	Geometric Progression	Finding the position of a term in a G.P.
150	Geometric Progression	Given two terms of G.P., find the sequence.
151	Exam	Exam – MYP Grade 10 – 2 Algebra II & Trig Hons

Grade 10 Syllabus for Pre Calculus Mathematics

#	TOPIC	TITLE
1	Self Assessment	Self Assessment – MYP Grade 10 – 3 Pre Calculus
2	Coordinate Geometry-the plane	Distance formula.
3	Coordinate Geometry-midpoint, slope	Mid-point formula
4	Coordinate Geometry-gradient	Gradient
5	Coordinate Geometry-gradient	Gradient formula.
6	Coordinate Geometry-straight line	The straight line.
7	Coordinate Geometry-slope, etc.	Lines through the origin.
8	Coordinate Geometry-equation of line	General form of a line and the x and y Intercepts.
9	Coordinate Geometry-intercept	Slope intercept form of a line.
10	Coordinate Geometry-point slope	Point slope form of a line
11	Co-ordinate Geometry-Two point formula	Two point formula: equation of a line which joins a pair of points.
12	Co-ordinate Geometry-Intercept form	Intercept form of a straight line: find the equation when given x and y
13	Co-ordinate Geometry-Parallel lines equations	Parallel lines: identify equation of a line parallel to another
14	Co-ordinate Geometry-Perpendicular lines	Perpendicular lines.
15	Simultaneous equns	Simultaneous equations
16	Simultaneous equns	Elimination method
17	Simultaneous equns	Elimination method part 2
18	Simultaneous equns	Applications of simultaneous equations
19	Matrices	Basic concepts – Matrices
20	Matrices	Addition and subtraction of matrices
21	Matrices	Scalar matrix multiplication
22	Matrices	Multiplication of one matrix by another matrix
23	Matrices	Translation in the number plane
24	Matrices	Translation by matrix multiplication
25	Transformations	Special transformations – reflections, rotations and enlargements.
26	Vectors	Vectors
27	Simultaneous equations	Number of solutions (Stage 2)
28	Vectors	2 vector addition in 2 and 3D (stage 2)
29	Linear systems	Optimal solutions (Stage 2) – Vectors
30	Linear systems	Linear systems with matrices (Stage 2)
31	Linear systems	Row-echelon form (Stage 2)
32	Algebra- formulae	Changing the subject of the formula.
33	Algebra-inequalities	Solving Inequalities.
34	Algebra-factorising	Simplifying easy algebraic fractions.
35	Algebraic fractions	Simplifying algebraic fractions using the index laws.
36	Algebra-negative indices	Algebraic fractions resulting in negative indices.
37	Factorisation	Factorisation of algebraic fractions including binomials.
38	Algebraic fractions-binomial	Cancelling binomial factors in algebraic fractions.
39	Absolute value or modulus	Simplifying absolute values
40	Absolute value or modulus	Solving for the variable
41	Absolute value or modulus	Solving and graphing inequalities
42	Co-ordinate Geometry-Inequalities	Inequalities on the number plane.
43	Calculus	Limits
44	Calculus=1st prin	Differentiation from first principles.
45	Calculus=1st prin	Differentiation of y = x to the power of n.
46	Calculus-differential, integ	Meaning of dy over dx – equations of tangents and normals.
47	Calculus-differential, integ	Function of a function rule, product rule, quotient rule.
48	Calculus-differential, integ	Increasing, decreasing and stationary functions.
49	Calculus	First Derivative – turning points and curve sketching
50	Graphing-polynomials	Graphing complex polynomials: quadratics with no real roots
51	Graphing-polynomials	General equation of a circle: determine and graph the equation
52	Graphing-cubic curves	Graphing cubic curves
53	Absolute value equations	Absolute value equations
54	Rect.hyperbola	The rectangular hyperbola.
55	Functions	Definition, domain and range
56	Functions	Notation and evaluations
57	Functions	More on domain and range
58	Functions	Domain and range from graphical representations
59	Functions	Evaluating and graphing piecewise functions
60	Functions	Functions combinations
61	Functions	Composition of functions
62	Functions	Inverse functions
63	Functions	Rational functions Part 1
64	Functions	Rational functions Part 2
65	Functions	Polynomial addition etc in combining and simplifying functions (Stage 2)
66	Geometry-parabola	The parabola: to describe properties of a parabola from its equation
67	Functions and graphs	Quadratic polynomials of the form y = ax. + bx + c.
68	Functions and graphs	Graphing perfect squares: y=(a-x) squared
69	Graphing roots	Graphing irrational roots
70	Coordinate geometry	Solve by graphing
71	Difference of 2 squares	Difference of two squares
72	Common fact and diff	Common factor and the difference of two squares
73	Quadratic trinomials	Quadratic trinomials [monic] – Case 1.
74	Factorising quads	Factorising quadratic trinomials [monic] – Case 2.
75	Factorising quads	Factorising quadratic trinomials [monic] – Case 3.
76	Factorising quads	Factorising quadratic trinomials [monic] – Case 4.
77	Factorising quads	Factorisation of non-monic quadratic trinomials
78	Factorising quads	Factorisation of non-monic quadratic trinomials – moon method
79	Quadratic equations	Introduction to quadratic equations.
80	Quadratic equations	Quadratic equations with factorisation.
81	Quadratic equations	Solving quadratic equations.
82	Quadratic equations	Completing the square
83	Quadratic equations	Solving quadratic equations by completing the square
84	Quadratic equations	The quadratic formula
85	Quadratic equations	Problem solving with quadratic equations
86	Quadratic equations	Solving simultaneous quadratic equations graphically
87	Algebra-polynomials	Introduction to polynomials
88	Algebra-polynomials	The sum, difference and product of two polynomials.
89	Algebra-polynomials	Polynomials and long division.
90	Remainder theorem	The remainder theorem.
91	Remainder theorem	More on remainder theorem
92	Factor theorem	The factor theorem
93	Factor theorem	More on the factor theorem
94	Factor theorem	Complete factorisations using the factor theorem
95	Logarithms-Complex numbers	Imaginary numbers and standard form
96	Logarithms-Complex numbers	Complex numbers – multiplication and division
97	Logarithms-Complex numbers	Plotting complex number and graphical representation
98	Logarithms-Complex numbers	Absolute value
99	Logarithms-Complex numbers	Trigonometric form of a complex number
100	Logarithms-Complex numbers	Multiplication and division of complex numbers in trig form (Stage 2)
101	Logarithms-Complex numbers	DeMoivre’s theorem (Stage 2)
102	Logarithms-Complex numbers	The nth root of real and complex numbers (Stage 2)
103	Logarithms-Complex numbers	Fundamental theorem of algebra (Stage 2)
104	Statistic-probability	Binomial Theorem – Pascal’s Triangle
105	Statistic-probability	Binomial probabilities using the Binomial Theorem
106	Statistic-probability	Counting techniques and ordered selections – permutations
107	Statistic-probability	Unordered selections – combinations
108	Statistics – grouped data	Calculating mean, mode and median from grouped data
109	Statistics using a calculator	Statistics and the student calculator
110	Statistics – Range and dispersion	Range as a measure of dispersion
111	Statistics – Spread	Measures of spread
112	Statistics – Standard deviation	Standard deviation applications
113	Statistics – Standard deviation	Normal distribution
114	Statistics – Interquartile range	Measures of spread: the interquartile range
115	Statistics	Stem and Leaf Plots along with Box and Whisker Plots
116	Statistics	Scatter Diagrams
117	Trigonometry-elevation	Angles of elevation and depression.
118	Trigonometry-practical	Trigonometric ratios in practical situations.
119	Trigonometry-ratios	Using the calculator to find an angle given a trigonometric ratio.
120	Trigonometry- ratios	Using the trigonometric ratios to find an angle in a right-angled triangle.
121	Trigonometry-exact ratios	Trigonometric ratios of 30., 45. and 60. – exact ratios.
122	Trigonometry-cosine rule	The cosine rule to find an unknown side. [Case 1 SAS].
123	Trigonometry-cosine rule	The cosine rule to find an unknown angle. [Case 2 SSS].
124	Trigonometry-sine rule	The sine rule to find an unknown side. Case 1.
125	Trigonometry-sine rule	The sine rule to find an unknown angle. Case 2.
126	Trigonometry-areas	The area formula
127	Trig-reciprocal ratios	Reciprocal ratios.
128	Trig complementary angles	Complementary angle results.
129	Trig identities	Trigonometric identities
130	Trig larger angles	Angles of any magnitude
131	Trig larger angles	Trigonometric ratios of 0°, 90°, 180°, 270° and 360°
132	Graph sine	Graphing the trigonometric ratios – I Sine curve.
133	Graph cosine	Graphing the trigonometric ratios – II Cosine curve.
134	Graphs tan curve	Graphing the trigonometric ratios – III Tangent curve.
135	Graph reciprocals	Graphing the trigonometric ratios – IV Reciprocal ratios.
136	Trig larger angles	Using one ratio to find another.
137	Trig equations	Solving trigonometric equations – Type I.
138	Trig equations	Solving trigonometric equations – Type II.
139	Trig equations	Solving trigonometric equations – Type III.
140	Polar coordinates	Plotting polar coordinates and converting polar to rectangular
141	Polar coordinates	Converting rectangular coordinates to polar form
142	Polar coordinates	Write and graph points in polar form with negative vectors (Stage 2)
143	Conic sections	Introduction to conic sections and their general equation
144	Conic sections	The parabola x. = 4ay
145	Conic sections	Circles
146	Conic sections	Ellipses
147	Conic sections	Hyperbola
148	Sequences and Series	General sequences.
149	Sequences and Series	Finding Tn given Sn.
150	Arithmetic Progression	The arithmetic progression
151	Arithmetic Progression	Finding the position of a term in an A.P.
152	Arithmetic Progression	Given two terms of A.P., find the sequence.
153	Arithmetic Progression	Arithmetic means
154	Arithmetic Progression	The sum to n terms of an A.P.
155	Geometric Progression	The geometric progression.
156	Geometric Progression	Finding the position of a term in a G.P.
157	Geometric Progression	Given two terms of G.P., find the sequence.
158	Sequences and Series-Geometric means	Geometric means.
159	Sequences and Series-Sum of gp	The sum to n terms of a G.P.
160	Sequences and Series-Sigma notation	Sigma notation
161	Sequences and Series-Sum-infinity	Limiting sum or sum to infinity.
162	Sequences and Series-Recurring decimal infinity	Recurring decimals and the infinite G.P.
163	Sequences and Series	Applications of arithmetic sequences
164	Exam	Exam – MYP Grade 10 – 3 Pre Calculus