MATH FOUNDATIONS 07 AND P/C 10

Math 10 Foundations and Pre-Calculus

01 Number Sets

number sets (video)

number sets 1 (video)

number sets 2 (video)

number sets 3 (video)

02  Exponents and Radicals

Introduction to Exponents

introduction to exponents (video)

Integral Exponents

raising a number to the 0th and the 1st power (video)

negative exponents (video)

negative exponent intuition (video)

Integral Exponents and Scientific Notation

introduction to scientific notation (video)

scientific notation (video)

Fractional Exponents

basic fractional exponents (video)

fractional exponents with numerators other than 1 (video)

Exponent Rules

exponent rules (part 01) (video)

exponent rules (part 02 (video)

exponent properties involving quotients (video)

Radicals and Radical Simplification

understanding square roots (video)

approximate square roots (video)

simplifying square roots (video)

adding and simplifying radicals (video)

finding cube roots (video)

cube roots of non-perfect cubes (video)

simplifying cube roots (video)

03 Measurement

Measuring Devices

how to read a vernier caliper (video)

how to read a micrometer (video)

Place Value and Rounding

decimal place value (video)

rounding decimals: to the nearest tenth (video)

Converting Within the Metric System

unit conversion within the metric system (video)

converting within the metric system (video)

conversion between metric units (video)

Surface Area and Volume

cylinder volume and surface area (video)

volume of a cone (video)

volume of a sphere (video)

04 Trigonometry

Right Angled Trigonometry

basics trigonometry 1 (video)

using soh-cah-toa – example (video)

basic trigonometry 2 (video)

using trigonometry to solve the sides and angles of a right triangle (video)

05 Polynomial Operations

Introduction to Polynomials

The parts of polynomial expressions (video)

Multiplying Polynomials

how to multiply a binomial by a binomial – example (video)

how to find the square of a binomial with one variable – example (video)

introduction to special products of binomials (video)

how to multiply binomials to get a difference of squares – example (video)

squaring a binomial (video)

06 Factoring Polynomials

Factoring Simple Expressions

how to factor a linear binomial by taking out a common factor – example (video)

how to factor a quadratic binomial with two variables by taking a common factor – example (video)

how to factor a quartic binomial with two variables by taking a common factor – example (video)

how to factor a polynomial with two variables by taking a common factor – example (video)

Factoring Trinomials

factoring quadratics with a leading coefficient of 1 (video)

how to factor quadratics with a leading coefficient of 1 – example (video)

introduction to grouping (video)

factoring trinomials with a common factor – example (video)

Factoring Difference of Squares

factoring special products (video)

how to factor a difference of squares with two variables – example (video)

how to factor a difference of squares with two variables – example (video)

07 Relations and Functions

Function Introduction

what is a function? (video)

Domain and Range of a Function

what is the domain of a function? (video)

what is the range of a function? (video)

how to find the domain and the range of a function given its graph – example (video)

Evaluating Functions

how to evaluate a function given its formula – example (video)

how to evaluate a function given its graph – example (video)

Function Notation

how to evaluate an expression that contains function notation – example (video)

Functions and Equations

difference between equations and functions (video)

08 Linear Relations – Characteristics

Cartesian Coordinates

introduction to the coordinate plane (video)

coordinate plane: graphing points (video)

coordinate plane: quadrants (video)

Calculating Distance

distance formula (video)

Calculating Midpoint

midpoint formula (video)

Calculating Slope

introduction to slope (video)

positive and negative slope (video)

using similar triangles to prove that the slope is constant for a line (video)

finding the slope of a line from its graph (video)

slope from two ordered pairs – example 1 (video)

slope from two ordered pairs – example 2 (video)

Parallel and Perpendicular Lines

parallel and perpendicular lines introduction (video)

equations of parallel and perpendicular lines (video)

distance between a point and a line (video)

09 Linear Relations – Equations

Slope y-Intercept Form Equation

graph from slope-intercept equation example (video)

slope-intercept equation from a graph examples (video)

slope-intercept equation from slope and point (video)

slope-intercept equation from two solutions example (video)

slope-intercept form from table (video)

Point-Slope Form Equation

introduction to point-slope form (video)

point-slope and slope-intercept form from two points (video)

Standard form / General Form Equation

standard form for linear equations (video)

converting from standard form to slope-intercept form (video)

converting from slope-intercept to standard form (video)

writing equations in all forms (video)

10 Systems of Linear Equations

solving linear systems by graphing (video)

solving linear systems by substitution (video)

solving systems of equations by elimination (video)

Possible Useful software

virtual graphing calculator software: click to download and install file…

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