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Unlimited Tutoring & Homework Help
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This is a representative list of topics covered in our Grade 10 Math program - however all programs will be customized for the individual student.
Algebra/Linear Algebra
- Different forms of numbers
- Scientific notation, square roots, exponents, radicals, absolute value, factorial, logarithms
- Properties of numbers
- Estimation of solutions
- Sequences and series
- Proportionality/direct variation, exponential/fractional expressions
- Patterns, relations and functions
- Changing parameters of functions
- Systems of equations/inequalities
- Types of equations
- Monomials and polynomials
- Factoring expressions
- Set theory
- Quantities in functional relationships
- Data sets to determine functional relationships
- Linear and quadratic functions
- Linear equations/inequalities
- Continuous/discrete functions
- Collect/organize/interpret data using graphs
- Simplifying functions and expressions
- Equation/function notation
- Slope, different forms of equation of a line
- Problems involving proportional change
- Factoring, exponents and variation
- Operations on rational expressions
- Quadratic equations
- Rate, work, percent, mixture problems
- Gauss-Jordan elimination
- Rectangular matrices to row echelon form
- Matrix/vector addition
- Matrix/vector multiplication
Geometry And Measurement
- Definitions, postulates, reasoning, theorems
- Euclidean/non-Euclidean geometries
- Coordinate, transformational, axiomatic systems
- Conditional statements
- Properties of geometric figures
- Inductive/deductive reasoning
- Tessellations
- Pythagorean Theorem
- Coordinate systems
- Measurements of geometric figures and composite figures
- Formal/informal proofs
- Geometric concepts, isosceles triangle theorem
- Planar cross-sections; perpendicular lines/planes
- Geometric properties to solve problems
- Rectangular coordinate system
- Rate, distance, time, angle measures, arc lengths
- Direct/indirect measures
- Coordinate geometry concepts
- Units of measurement
- Error and magnitude
- Basic constructions
- Angles of triangles and polygons
- Triangle inequality theorem
Probability And Statistics
- Tools of data analysis
- Mean, median, mode, range, standard deviation, variance
- Permutations and combinations
- Data representation methods
- Types of events, conditional probability
- Statistical methods to make inferences
- Organization and display of data
- Predictions from data
Precalculus
- Describing functions
- Representation of functions
- Arithmetic and geometric series
Mathematical Models with Applications
- Multiple approaches to solve problems
- Techniques to study patterns and analyze data
- Problems related to personal income and credit
- Problems related to financial planning
- Transformations, symmetry
TRIGONOMETRY
- Degree/radian measures
- Basic trigonometric functions
- Special right triangles
- Trigonometric values of standard angles
- Justify the Pythagorean identities
- Trigonometric equations (0 to 360 degrees)
Mathematical Analysis
- Polar/rectangular coordinates
- Trigonometric form of complex numbers
- Mathematical induction
- Fundamental theorem of algebra
- Conic sections
