Saturday, August 20, 2016

GED Math Syllabus


We will cover the following Math Topics in Kim's Tuesday/Thursday night class:

  • Prime Numbers, Integers, Absolute Value, Order of Operations
  • Decimal operations: Add, subtract, multiply, divide
  • Fractions: Add, subtract, multiply, divide, simplify, improper fractions
  • Scientific Notation
  • Ratios and Proportions
  • Percents
  • Converting Fractions, Decimals and Percents
  • Statistics: mean, median, mode
  • Probability
  • Geometry: Angles, shapes, perimeter, area, surface area, volume, Pythagorean Theorem
  • Algebra: Expressions, Equations, Inequalities, functions, coordinate plane, slope, slope-intercept
  • Interest
  • Distance, rate and time formula
Below are links to topics that we will be learning. This page is a work in progress! I will be adding more topics and links as the class progresses.

Prime Numbers


What is the difference between prime and composite numbers?

video: https://www.youtube.com/watch?v=jpMYfW9XziU

Decimal Operations

"To add and subtract, line it up exact. To multiply and divide, just count and slide!"

MathSnacks Game to practice decimals: http://mathsnacks.com/gate.html

Decimals Kahoots: 

Decimal Tricks https://play.kahoot.it/#/k/adfb763d-a5ed-465c-b14f-06d16fffabcd
Ordering Decimals https://play.kahoot.it/#/k/6d085ba2-16a9-4c0a-afe1-8a4e72461cbc
Add,Subtract and Multiply Decimals  https://play.kahoot.it/#/k/61a68adf-b262-46c7-a742-130e2c044ffa
Comparing Decimals https://play.kahoot.it/#/k/6ed2e4ca-83ce-4f74-9fb0-8ffa3871d6c0
Decimal Division https://play.kahoot.it/#/k/23d3575a-d989-432a-83b4-18f54f19c0a7

Scientific Notation


How do you use Scientific Notation to write very large and very small numbers?

Khan Academy video and practice problems: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/scientific-notation/v/scientific-notation-old



Ratios



What are ratios and how are they used?

Mathantics video: http://mathantics.com/index.php/section/lesson/ratiosandrates 
"Bad Date": animation explaining ratios http://mathsnacks.com/baddate.html

"Ratio Rumble": game to practice creating ratios and equal ratios http://mathsnacks.com/ratio-rumble.html

"Ratey the Math Cat": animation explaining rates http://mathsnacks.com/ratey.html

"Overruled": animation explaining how to convert from one measurement system to another http://mathsnacks.com/overruled.html

Proportions


What are proportions and how are they used?

Mathantics video: http://mathantics.com/index.php/section/lesson/Proportions


Percents


What are percentages and how are they used?

MathAntics video: http://mathantics.com/index.php/section/lesson/WhatArePercentages

The meaning of percents video and practice problems Khan Academy https://www.khanacademy.org

Percents Kahoot https://kahoot.it/#/

Exponent Rules


With a little practice, these rules will seem easy!

Khan Academy Exponent Rules Video and Practice Problems:
https://www.khanacademy.org/math/pre-algebra/exponents-radicals/exponent-properties/v/exponent-rules-part-1


Pythagorean Theorem



Just kidding. If you are given any 2 side lengths of a right triangle, all you have to do is use the Pythagorean Theorem to find the length of the third side.

Pythagorean Theorem water demo: http://youtu.be/CAkMUdeB06o

PBS video: http://www.pbslearningmedia.org/resource/muen-math-g-pythagorean/pythagorean-theorem/

Foldable with answers: http://equationfreak.blogspot.com/2014/02/getting-ready-to-teach-pythagorean.html

Visual examples: https://www.mathsisfun.com/pythagoras.html

Khan Academy video and practice problems on Pythagorean Theorem:
https://www.khanacademy.org/math/in-seventh-grade-math/triangle-pror/right-angles-pythagoras/v/the-pythagorean-theorem


Statistics


Measures of Average: Mean, Median and Mode

Khan Academy: Video and practice problems:
https://www.khanacademy.org/math/probability/descriptive-statistics/central-tendency/v/mean-median-and-mode

Graphing
















Slope is the steepness of a line. The slope of any line is just a ratio comparing the "rise", or vertical change over the "run" or horizontal change.


This slope tree helps us remember that positive slopes go uphill, negative slopes head downhill, a horizontal line has "no slope", and vertical lines have what are called "undefined slopes".

Slope Foldable: https://ispeakmath.org/2012/03/07/all-about-slope-foldable/#jp-carousel-1176

Khan Academy: Graphing Lines and Slope
https://www.khanacademy.org/math/algebra-home/algebra-basics/core-algebra-graphing-lines-slope


Cool Visual (Graph Dance):
https://www.facebook.com/enjoy.science/videos/279866885694529/?pnref=story

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