Mathematics for Grade 10
Lesson 1: Algebraic Expressions
In this lesson on Algebraic Expressions, we focus on the following: multiplying a binomial by a trinomial, factorizing trinomial, factorizing the difference and sums of two cubes, factorizing by grouping in pairs as well as simplifying, adding and subtracting algebraic fractions with denominators of cubes.
Lesson 2: Exponents
In this lesson on Exponents, we focus on simplifying expressions using the laws of exponents for rational exponents as well as solving exponential equations.
Lesson 3: Number and Number Patterns
In this lesson on Numbers and Number Patterns, we focus on the following: Understanding that real numbers can be irrational or rational, establishing between which two integers a given simple surd lies, rounding real numbers to an appropriate degree of accuracy as well as investigating number patterns.
Lesson 4: Linear and Quadratic Equations
In this lesson, we consider the following: Linear equations, quadratic equations, and linear simultaneous equations.
Lesson 5: Solving Equations and Inequalities
In this lesson on Solving Equations and Inequalities, we focus on the following: Literal equations, linear inequalities as well as problems.
Lesson 6: Introduction to Trigonometry
In this lesson, we introduce Trigonometry and focus on the following: Definitions of trigonometric ratios in right-angled triangles, how to derive and use values of the trigonometric ratios with and without a calculator as well as 2D trigonometry.
Lesson 7: Defining Trig Ratios on the Cartesian Plane
In this lesson on defining ratios, we focus on the following: reciprocal of trig ratios, the Cartesian plane, the CAST diagram as well as special angles.
Lesson 8: Trig Functions
In this lesson on Trigonometric Functions, we focus on: Graphs of trig functions, properties of graphs as well as transformations.
Lesson 9: Functions
In this lesson on Functions, we focus on definitions of functions, graphs of functions, sketching graphs, finding equations as well as combinations of graphs.
Lesson 10: Euclidean Geometry
In this lesson on Euclidean Geometry we focus on: Classifying angles, parallel and transversal lines, classifying triangles, properties of triangles, relationships between angles, congruency, similarity, Pythagoras, the mid-point theorem as well as properties of quadrilaterals.
Lesson 11: Analytical Geometry
In this lesson on Analytical Geometry we focus on: the Cartesian plane; the distance between points, straight lines, the gradient of a line segment, the equation of a straight line as well as parallel and perpendicular lines.
Lesson 12: Finance
In this lesson on Financial Maths, we focus on: Simple interest, compound interest, applications of interest as well as exchange rates.
Lesson 13: Statistics
In this lesson on Statistics, we focus on collecting, organizing and representing data. We also take a look at measures of central tendency as well as measures of dispersion.
Lesson 14: Measurement
In this lesson on Measurement, we focus on the surface area and volume and consider the effect of volume and surface area when multiplying any dimension by a constant factor k.
Lesson 15: Probability
In this lesson on Probability, we compare the relative frequency of an experimental outcome with the theoretical probability of the outcome. We also use Venn diagrams as an aid to solving probability problems and consider mutually exclusive events as well as complementary events.
I am Neetu a passionate about teaching and spending with children. I am holding Masters of science in Electronics from India and worked as a lecturer for university students and later continued as a software professional.
I am happy to teach students in Mathematics and computer science subjects and also interested in volunteer with school-related activities within Drouin area.
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