## Math 10 Foundations and Pre-Calculus

**01 Number Sets**

**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 exponent intuition (video)

**Integral Exponents and Scientific Notation**

introduction to 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)

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**

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)

**04 Trigonometry**

**Right Angled Trigonometry**

using soh-cah-toa – example (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)

**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**

**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
**

**Calculating Midpoint
**

**Calculating Slope
**

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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