1. Word Problems Involving Ratios

2. Word Problems Involving Proportions

3. Word Problems Involving Rates of Change

4. Conversion Between Roman and Arabic Numerals
The Roman numeral system is a system of writing numbers using a combination of M (1,000), D (500), C (100), L (50), X (10), V (5) and I (1)
The Arabic numeral system is most familiar (we use it – 1, 2, 3, etc…)
Here are some examples…

5. Converting Roman to Arabic Numerals

6. Converting Arabic to Roman Numerals

7. English and Metric Systems
Measurement
English and Metric Systems
The metric system is a system of measurement based on prefixes. Every prefix corresponds to a power of 10.
Every unit of measure has a root word.
Both systems can be compared to each other.
Many tools can be employed to measure.

8. Metric Measurement System
English Measurement System

9. Conversions Between English and Metric Measurement

10. Common Measuring Tools

11. Applications

14. Dependent and Independent Variables
Data interpretation
Dependent and Independent Variables
Every set of data has dependent and independent variables.
The independent variable is put into the set of data (input).
The dependent variable is the output based on the input.

16. Data Interpretation using Tables, Charts, Circles and Lines
Tables are helpful for organizing raw data.
Charts (or bar/histogram) are displayed as non-touching vertical bars.
Circle (or pie) graphs are divided into sectors representing an event frequency.
Line graphs compare the relationship between two quantities (x vs. y).

17. Data Interpretation using Tables

18. Data Interpretation using Charts

19. Data Interpretation using Circles

20. Data Interpretation using Lines

21. Algebraic Applications
Polynomial Terminology (simply put!)
Expression: a polynomial with a combination of terms (mono-, bi-, tri-, etc…)
Term: a separated constant or variable
Like Terms: have the same variable or exponent
Constant: an unchanging quantity
Coefficient: the numerical part of a term
Variable: the unknown part of a term
Dividend/Divisor: numerator/demoninator
Quotient: the answer

24. Translating Word Phrases into Math Expressions

26. Solving Equations with One Unknown
Remove any parentheses.
Remove fractions by multiplying each term with the LCD.
Move like terms together on both sides of the equation.
Isolate the variable by multiplying both sides of the equation by the reciprocal of the coefficient of the variable.
Check the solution.

28. Solving Equations with Absolute Values
The absolute value of a number (n), written as |n|, is the distance between the number n and zero on the number line.
|n| = n when n is a positive number
|n| = -n when n is a negative number