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Unit 1 - Numbers and Operations

What are Rational Numbers?

Intro to Natural and Whole Numbers -

http://www.virtualnerd.com/tutorials/?id=Alg1_1af

Intro to Integers -

http://www.virtualnerd.com/pre-algebra/algebra-tools/integer-definition.php

Intro to Rational Numbers -

http://www.virtualnerd.com/algebra-1/algebra-foundations/rational-number-definition.php

How do the Various Number Sets compare to each other (includes real numbers, but students can stop at rational numbers) -

http://www.virtualnerd.com/algebra-2/equations-inequalities/number-category-comparison.php

Multiply and Divide Rational Numbers

How to multiply fractions -

http://www.virtualnerd.com/algebra-1/algebra-foundations/real-number-multiply-divide/real-number-multiply/multiply-fractions-definition

How to divide fractions -

http://www.virtualnerd.com/algebra-1/algebra-foundations/real-number-multiply-divide/real-number-divide/divide-fractions-example

How to multiply decimals -

http://www.virtualnerd.com/algebra-1/algebra-foundations/real-number-multiply-divide/real-number-multiply/decimal-multiplication-method

How to divide decimals -

http://www.virtualnerd.com/algebra-1/algebra-foundations/real-number-multiply-divide/real-number-divide/long-division-decimals-example

How to multiply and divide numbers with different signs (positive or negative) -

http://www.virtualnerd.com/algebra-1/algebra-foundations/real-number-multiply-divide/real-number-multiply/multiplying-or-dividing-with-different-signs

What is the sign of the product when you multiply more than 2 numbers with different signs (positive or negative) -

http://www.virtualnerd.com/algebra-1/algebra-foundations/real-number-multiply-divide/real-number-multiply/product-or-quotient-sign

Adding Rational Numbers

How to add a positive and a negative number -

http://www.virtualnerd.com/algebra-1/algebra-foundations/real-number-add-subtract/real-number-add/add-negative-and-positive-number

How to add two negative numbers -

http://www.virtualnerd.com/algebra-1/algebra-foundations/real-number-add-subtract/real-number-add/negative-number-addition

How to add decimals -

http://www.virtualnerd.com/algebra-1/algebra-foundations/real-number-add-subtract/real-number-add/decimal-addition-method

How to add fractions with the same denominator -

http://www.virtualnerd.com/algebra-1/algebra-foundations/real-number-add-subtract/real-number-add/adding-fractions-same-denominator

How to add fractions with different denominators -

http://www.virtualnerd.com/algebra-1/algebra-foundations/real-number-add-subtract/real-number-add/add-fractions-different-denominator

Subtracting Rational Numbers 

How to subtact a positive number from a negative number -

http://www.virtualnerd.com/algebra-1/algebra-foundations/real-number-add-subtract/real-number-subtract/subtract-positive-from-negative-number

How to subtract a negative number from a positive number --

http://www.virtualnerd.com/algebra-1/algebra-foundations/real-number-add-subtract/real-number-subtract/subtract-negative-from-positive-number

How to add and subtract a bunch of numbers with different signs -

http://www.virtualnerd.com/algebra-1/algebra-foundations/real-number-add-subtract/real-number-subtract/positive-negative-number-addition-and-subtraction

How to subtract decimals -

http://www.virtualnerd.com/algebra-1/algebra-foundations/real-number-add-subtract/real-number-subtract/decimal-subtraction-method

How to subtract fractions with the same denominator -

http://www.virtualnerd.com/algebra-1/algebra-foundations/real-number-add-subtract/real-number-subtract/subtract-same-denominator-fractions

How to subtract fractions with different denominators -

http://www.virtualnerd.com/algebra-1/algebra-foundations/real-number-add-subtract/real-number-subtract/subtract-different-denominator-fractions

Percentages and Sales Tax

What is a percent -

http://www.virtualnerd.com/algebra-1/linear-equations-solve/percent-definition.php

How to convert percent into a decimal -

http://www.virtualnerd.com/algebra-1/linear-equations-solve/percent-to-decimal-conversion.php

Sale - Marked down by some percent?

http://www.virtualnerd.com/algebra-1/linear-equations-solve/percent-marked-down-example.php

How to find the pre-sale price of an item marked down by a percent -

http://www.virtualnerd.com/algebra-1/linear-equations-solve/find-mark-up-example.php

How to figure out the sales tax and total price after tax -

http://www.virtualnerd.com/algebra-1/linear-equations-solve/sales-tax-definition.php

Financial Assets, Liabilities and Income Tax

Financial Assets - 

Cash in Hand, Checking Account, Savings Account and other owned personal property (house, car, etc).

Financial Liabilities -

Car loan, Student loan, credit card balances, etc.

Fractions, Decimals and Percentages

Quite a few of my students have been having problems with converting from one form to the other. Here is a website that should help -

https://www.mathsisfun.com/decimal-fraction-percentage.html

Unit Test on Unit 1