Daily Tutoring Online course
This online course is designed to provide students with a comprehensive understanding of mathematical methods, focusing on Unit 1 & 2 content. Topics covered include functions, calculus, algebra, and more. Through a combination of video lectures, interactive quizzes, and practical exercises, students will develop the skills necessary to solve mathematical problems effectively.
Curriculum
Reviewing linear equations
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- Solving equations (26:27)
- Solving equations 2 (37:19)
- Literal equations (23:28)
- Solving worded problems (18:13)
- Elimination method (27:59)
- Substitution method (18:54)
- Review of worded question (19:12)
- Real-world simultaneous equations (31:08)
- Review of worded question (writing simultaneous equations and solve) (19:12)
- Inequality (20:28)
- Solving inequalities - Multiply or divide by a negative number (15:59)
- Changing the subject of a formula (27:54)
Reviewing coordinategeometry
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- Midpoint of a line segment (16:58)
- Pythagorean theorem (21:48)
- The distance between two points (16:01)
- The rule for straight line graph is given by y=mx+c (11:34)
- Linear equation - Gradient (13:44)
- Linear equation - Gradient 2 (9:27)
- The tangent of the angle of slope (14:02)
- General form Standard form Slope-intercept form (20:58)
- A line through two points (16:59)
- Axes intercepts (20:49)
- Vertical and horizontal lines (12:10)
- Relation between two linear equations (20:29)
- The geometry of simultaneous linear equations with two variables (24:48)
- Linear equation questions review (28:02)
Quadratics
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- Foil method (13:11)
- Collecting like terms (14:52)
- Difference of two squares (19:04)
- Factorising expressions (22:56)
- Cross Method and then Zero Product Property (32:17)
- Cross Method Zero product property X intercept and sketch (25:10)
- Turning point form (31:40)
- Quadratic inequalities (23:15)
- Quadratic formula (34:48)
- The discriminant (15:22)
- Review of finding the intersection (linear and quadratic) (18:51)
- Point of intersection of different graphs (Quadratic circle hyperbola) (19:11)
A gallery of graphs
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Functions and relations
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Polynomials
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Transformations
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Probability
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Counting methods
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Discrete probability distributions
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Exponential functions and logarithms
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- Index laws- Raising powers (16:49)
- Index laws 1&2 (15:04)
- Index law 3 and zero power (16:55)
- Index law 4&5 (21:01)
- Index law_Negative indices (20:08)
- Index law (total) (19:31)
- Rational indices (30:55)
- Graphs of exponential functions (18:58)
- Solving exponential equations and inequalities (26:15)
- Logarithms (30:38)
- Graphs of logarithm functions (21:03)
Circular functions
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days
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- Trigonometric ratio(SOH CAH TOA) (21:05)
- Special right triangles(45 45 90 and 30 60 90) (16:53)
- Pythagorean Identities (16:26)
- Sin Cos Tan graph and evaluation 1 (55:27)
- Sin Cos Tan graph and evaluation 2 (31:18)
- Sketch graphs of sin cos using transformation (44:16)
- Solution of trigonometric equations (27:30)
Rates of change
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Differentiation and antidifferentiation of polynomials
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Applications of differentiation of polynomials
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Further differentiation and antidifferentiation
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Integration
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CAS calculator
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