8th Grade Math Lesson for Gen X

8th Grade Math Lesson for Gen X

Greeting and Supplies

Hello!

Hello, and thank you for staying for this lesson! Today we will be going over some 8th Grade Pre-Algebra Math for Gen X. You will need

-Pencil
-Paper
-Calculator

Thank you for your time, now lets get to the lesson. I will take questions at the END!!

Lesson 1: Absolute Value, Perfect Square, and Square Roots

Perfect Square, definition: A perfect square is the product of a number multiplied by itself. An example: 10 x 10 = 1000 so 10² = 100. Try 6² on your own!

If you said ___, you are correct! 6 x 6 = ___, so 6² will also equal ___.
Next example you will try is 7³. If you said _______, you are correct. 7 x 7 x 7 = ___, so 7³ will also equal ___.
Let's try one more, try 3^6.. If you said ___, you are correct!. 3 x 3 x 3 x 3 x 3 x 3 = ___, so 3⁶ will also equal ___.

Lesson 1, Part 2: Square Roots

​Square Root Definition: A square root of a number is the number that multiplies by itself to equal that number. (Taking the square root of a number is the inverse operation of raising a number to the 2nd power.

For example: To simplify the square root of /100, we think... "what number makes itself 100?" 10 does! So /100 = 10.
Try this one on your own. /25 = ___. If you said ___, you are correct! ____ equals 25, so /25 will equal ___. Try one more: /16. If you said ___, you are correct! ______ equals 16, so /16 will equal 4

Lesson 1, Part 3: Absolute Value

​Absolute value definition: The absolute value of a number is the distance that number is from zero on the number line.

An example is /-8/ = 8, because -8 is 8 spots away from zero on the number line.
Try this example on your own: /12/. If you said ____, you are correct. 12 is ____, spots away from zero on the number line. Try one more example: /-30/. If you said ____, you are correct. -30 is ____ spots away from zero on the number line.

Lesson 2: Algebra

​Expression: Numbers, variables, and operations grouped together that show the value of something.
Equation: Two equations set equal to each other.
Inequality: Two expressions being pared with an inequality symbol.
Term: The product of a number and one and more variables. That is, the parts of an expression that are seperated by addition and subtraction.
Coefficent: The numerical factor when a term has a variable. That is, the number part of a term that has a number times a variable.
Variable: A symbol (usually a letter) to represent an unknown quantity.
Constant: A fixed number. In other words, a plain number that does not include a variable.

Lesson 2, part 2:

Examples:

Expression: 5x + 4, 6ab²c, and 5(6x + 1)
Equation: 2x + 3y = 6, 2 + 6 = 8, Prt = 1
Inequalities: 3 > 4x + 1, 6a + 6b < 12, -3 < x < 3
Terms: 5n + 3, (5n and 3 are the terms), 4a - b + 5c (4a, -b, and 5c are the terms), and 4xy, (4xy is the only term)
Coeffcients: 7xy (7 is the coeffcient), 3x + 6y - 12, (3 & 6 are the coefficents), x³ (x, also and invisble 1, is the coeffcient)
Variables: 3x - 6n ( x and n are the variables) 10y - 7z (y and z are the variables)
Constant: 4x - 6y + 9 (9 is the constant), 4 + 5 + 6t (4 & 5 are the constants)

Lesson 2, part 3:

Problems:

Is this an expression or equation or inequality? 4m + 3 The correct answer is an _______.
Is this an expression or equation or inequality? 5y + 3 = 8 The correct answer is an ______.
Is this an expression or equation or inequality? -3x + 5 < 16 The correct answer is an _____.
Where are the terms in this problem? 2x + 4x - 9 The terms are ____, ____, and ____.
Where are the coeffcients in this problem? 52x + 31z - 25 = 9 The coefficents are ___ and ___.
Where are the variables in this problem? 9x + 10n = x³ The variables are ___ and ___.
Where are the constants in this problem? 9k + 7h + 8 = 3 The constants are ___ and ___.

Lesson 3: Reflections, translations, dilations, and rotations

Definitions:
Reflections: When a figure flips over the x or y axis.
Translations: A translation moves a shape left, right, up, or down but does not turn.
Rotations: When we rotate a figure at a certain degree around a point.
Dilations: When we enlarge or reduce a figure.

Lesson 3 part 2:

Examples:

​Translation Rotation Reflection Dilation

Problems

​Decide if each picture is a reflection, translation, dilation or rotation.

Thanks for listening to the lesson.