## Maths & Mathematics Online Tuition Classes, Mathematics Online Tutors, Maths Online Private Teachers, Mathematics Live Classes and Maths Live Tutors near me in British Columbia - BC, Canada - Ca :

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Outline of Mathematics curriculum for Grade - 10 ( Ten - X ) in British Columbia BC, Canada CA :

Foundations of Mathematics and Pre-calculus :

Powers:

positive and negative exponents

exponent laws

evaluation using order of operations

numerical and variable bases

Prime Factorization:

expressing prime factorization of a number using powers

identifying the factors of a number

includes greatest common factor (GCF) and least common multiple (LCM)

strategies include using factor trees and factor pairs

Functions and Relations:

communicating domain and range in both situational and non-situational contexts

connecting graphs and context

understanding the meaning of a function

identifying whether a relation is a function

using function notation

Linear Functions:

slope: positive, negative, zero, and undefined

types of equations of lines (point-slope, slope intercept, and general)

equations of parallel and perpendicular lines

equations of horizontal and vertical lines

connections between representations: graphs, tables, equations

Arithmetic Sequences:

applying formal language (common difference, first term, general term) to increasing and decreasing linear patterns

connecting to linear relations

extension: exploring arithmetic series

Systems:

solving graphically

solving algebraically by inspection, substitution, elimination

connecting ordered pair with meaning of an algebraic solution

solving problems in situational contexts

Multiplication:

applying the distributive property between two polynomials, including trinomials

connecting the product of binomials with an area model

Factoring:

greatest common factor of a polynomial

simpler cases involving trinomials (y=x^2+bx+c) and difference of squares

Trigonometric:

sine, cosine, and tangent ratios

right-triangle problems: determining missing sides and/or angles using trigonometric ratios and the Pythagorean theorem

contexts involving direct and indirect measurement

Financial Literacy:

types of income

income tax and other deductions

Workplace Mathematics :

Graphs:

including a variety of formats, such as line, bar, and circle graphs, as well as histograms, pictographs, and infographics

Primary Trigonometric Ratios:

single right-angle triangles; sine, cosine, and tangent

Conversions:

with a focus on length as a means to increase computational fluency

using tools and appropriate units to measure with accuracy

Surface Area and Volume:

including prisms and cylinders, formula manipulation

contextualized problems involving 3D shapes

Central Tendency:

analysis of measures and discussion of outliers

calculation of mean, median, mode, and range

Experimental Probability:

simulations through playing and creating games and connecting to theoretical probability where possible

Financial Literacy:

types of income; income tax and other deductions

With Wise Turtle Academy, a Student can get best Math & Mathematics Online tuition classes, Online Tutors, Online Private Tutors, Online Trainers, as well as many other subjects conforming to curriculum prescribed for the province of British Columbia ( BC ), Canada ( Ca ). These classes are delivered by well qualified and highly experienced Online tutors near me in British Columbia ( BC ), Canada ( Ca ). The scope of Online tuition delivery by competent Online tutors vary with various Grades right from Kindergarten, Grade 1 ( 1st - I ) , Grade 2 ( 2nd - II ) , Grade 3 ( 3rd - III ) , Grade 4 ( 4th - IV ) , Grade 5 ( 5th - V ) , Grade 6 ( 6th - VI ) , Grade 7 ( 7th - VII ) , Grade 8 ( 8th - VIII ) , Grade 9 ( 9th - IX ) , Grade 10 ( 10th - X ) , Grade 11 ( 11th - XI ) , Grade 12 ( 12th - XII ) to College level education curriculum. More areas covered near me in British Columbia - BC, Canada are Delta, Denmanisland, Dennyisland, Destinybay, Dogcreek, Domecreek, Douglaslake, Duncan, Dunster, Eaglebay, Eaglecreek, Eastgate, Edgewater, Edgewood, Elkford, Elko, Endako, Enderby, Erickson, Errington, Esquimalt, Fairmonthotsprings, Falkland, Fannybay, Farmington, Fauquier, Fernie, Field, Forestgrove, Fortfraser, Fortnelson, Fortst.James, Fortst.John, Fortsteele, Francoislake, Fraser, Fraserlake, Fruitvale, Gabriola, Galianoisland, Galloway, Gangranch, Gardenbay, Genelle, Germansenlanding, Gibsons, Gitanmaax, Gitsegukla, Gitwinksihlkw, Goldbridge, Goldcreek, Goldriver, Golden, Goodhopelake, Goodlow, Grandforks, Granisle, Grasmere, Graycreek, Greenwood, Grindrod, Groundbirch, Hagensborg, Haisla, Hanceville, Harrogate, Hartleybay, Hazelton, Hedley, Heffleycreek, Heriotbay, Hixon, Holberg, Honeymoonbay, Hornbyisland, Horsefly, Houston, Hudson'shope, Invermere, Iskut, Jadecity, Jaffray, Jordanriver, Kaleden, Kamloops, Kaslo, Kelowna, Keremeos, Kildonan, Kimberley, Kincolith, Kingcomeinlet, Kingsgate, Kispiox, Kitchener, Kitimat, Kitkatla, Kitwanga, Kleenakleene, Klemtu, Knutsford, Koksilah, Koocanusa-West, Kootenaybay, Krestova, Kuskanook, Kyuquot, Laclahache, Laclejeune, Ladysmith, Lakecountry, Lakecowichan.

Outline of Mathematics curriculum for Grade - 11 ( Eleven - XI ) in British Columbia BC, Canada CA :

Computer Science:

Basic Data Types:

number systems (e.g., binary, hexadecimal)

strings, integers, characters, floating point

Basic Programming Concepts:

variables, constants, mathematical operations, input/output, generating random numbers

Scope:

local versus global

Logical Statements:

logical operators (AND, OR, NOT)

relational operators (<, >, <=, >=, ==, !=, or <>)

logical equivalences (e.g., De Morgan’s laws), simplification of logical statements, truth tables

Control Flow:

decision structures (e.g., if-then-else)

loops (e.g., for, while, nested loops)

Development of Algorithms:

step-wise refinement, pseudocode or flowcharts, translating between pseudocode and code and vice versa

Operations:

append, remove, insert, delete

Searching:

searching algorithms (e.g., linear and binary searches)

Modularity:

use of methods/functions to reduce complexity, reuse code, and use function parameters

return values

Financial Analysis:

time value of money, appreciation/depreciation, mortgage amortization

modify the variables of a financial scenario to run a “what-if” analysis on them (e.g., compare different monthly payments, term lengths, interest rates)

Mathematical Problems:

estimate theoretical probability through simulation

represent finite sequences and series

solve a system of linear equations, exponential growth/decay

solve a polynomial equation

calculate statistical values such as frequency, central tendencies, standard deviation of large data set

compute greatest common factor/least common multiples

Foundations of Mathematics:

Mathematical Reasoning:

logic, conjecturing, inductive and deductive thinking, proofs, game/puzzle analysis, counter-examples

Angle Relationships:

properties, proofs, parallel lines, triangles and other polygons, angle constructions

Graphical Analysis:

using technology only

Linear Inequalities:

graphing of the solution region

slope and intercepts

intersection points of lines

Quadratic Functions:

characteristics of graphs, including end behaviour, maximum/minimum, vertex, symmetry, intercepts

Systems of Equations:

including linear with linear, linear with quadratic, and quadratic with quadratic

Optimization:

using feasible region to optimize objective function

maximizing profit while minimizing cost

maximizing area or volume while minimizing perimeter

Applications:

posing a question about an observed variation, collecting and interpreting data, and answering the question

Statistics:

measures of central tendency, standard deviation, confidence intervals, z-scores, distributions

Scale Models:

enlargements and reductions of 2D shapes and 3D objects

comparing the properties of similar objects (length, area, volume)

square-cube law

Financial Literacy:

compound interest

introduction to investments/loans with regular payments using technology

buy/lease

History of Mathematics:

Number and Number Systems:

Egyptian, Babylonian, Roman, Greek, Arabic, Mayan, Indian, Chinese, First Peoples

exploring the idea of different bases, different forms of arithmetic

infinity

problems from the Rhind Mathematical Papyrus

Eratosthenes

Patterns and Algebra:

Al-Khwarizmi’s Algebra

Indian mathematics

Islamic mathematics

Descartes

the golden ratio

patterns in art

Geometry:

problems from the Rhind Mathematical Papyrus, Moscow Mathematical Papyrus

Pythagoras

Hippocrates and construction problems of antiquity

geometry in Euclid’s Elements, Archimedes, Apollonius, Pappus’s Book III

Indian and Arabic contributions

Descartes and Fermat

Probability and Statistics:

Pascal, Cardano, Fermat, Bernoulli, Laplace

ancient games such as dice and the Egyptian game Hounds and Jackals

Egyptian record keeping

Graunt and the development of statistics through the need for merchant insurance policies

Early Beginnings:

forms of tabulating information, leading to the beginnings of probability and statistics

Tools and Technology:

papyrus, stone tablet, bone, compass and straightedge, abacus, scales, slide rule, ruler, protractor, calculator, computer

Cryptography:

cuneiform

Spartan military use of ciphers

first documentation of ciphers in the Arab world

John Wallis

World War II and the Enigma machine

barcodes

modular arithmetic

RSA coding

current coding techniques and security in digital password encryption

Pre-calculus:

Real Number:

Classification

Powers:

positive and negative rational exponents

exponent laws

evaluation using order of operations

numerical and variable bases

Radical:

simplifying radicals

ordering a set of irrational numbers

performing operations with radicals

solving simple (one radical only) equations algebraically and graphically

identifying domain restrictions and extraneous roots of radical equations

Factoring:

greatest common factor of a polynomial

trinomials of the form ax^2+bx+c

difference of squares of the form a^2 x^2-b^2 y^2

may extend to a(f(x))^2+b(f(x))+c, a^2 (f(x))^2-b^2 (f(x))^2

Rational:

simplifying and applying operations to rational expressions

identifying non-permissible values

solving equations and identifying any extraneous roots

Quadratic:

identifying characteristics of graphs (including domain and range, intercepts, vertex, symmetry), multiple forms, function notation, extrema

exploring transformations

solving equations (e.g., factoring, quadratic formula, completing the square, graphing, square root method)

connecting equation-solving strategies

connecting equations with functions

solving problems in context

Inequalities:

single variable (e.g., 3x-7≤-4,x^2-5x+6>0)

domain and range restrictions from problems in situational contexts

sign analysis: identifying intervals where a function is positive, negative, or zero

symbolic notation for inequality statements, including interval notation

Trigonometry:

use of sine and cosine laws to solve non-right triangles, including ambiguous cases

contextual and non-contextual problems

angles in standard position:

degrees

special angles, as connected with the 30-60-90 and 45-45-90 triangles

unit circle

reference and coterminal angles

terminal arm

trigonometric ratios

simple trigonometric equations

Financial Literacy:

compound interest

introduction to investments/loans with regular payments, using technology

buy/lease

Workplace Mathematics:

Financial Literacy:

personal investments, loans (lease versus buy), credit cards, mortgages, graphical representations of financial growth

to purchase, own, or lease and to operate and maintain a vehicle

banking services

other significant purchases

Rate of Change:

slope of 3D objects, angle of elevation

interest rates

Contexts:

exploring games of chance and insurance payout likelihood

reading about and interpreting surveys and information in the media to make informed decisions

understanding statistical vocabulary

Interpreting Graphs:

investigating graphs in the media (e.g., news articles, blogs, social media, websites, advertisements)

how data and media influence social justice issues and personal decisions

3D Objects:

creating and interpreting exploded diagrams and perspective diagrams

drawing and constructing 3D objects

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Outline of Mathematics curriculum for Grade - 12 ( Twelve - XII ) in British Columbia BC, Canada CA :

Apprenticeship Mathematics

Calculus

Computer Science

Foundations of Mathematics

Geometry

Pre-calculus

Statistics

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