Background Tutorials

• Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.

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    What are the Associative Properties of Addition and Multiplication?

    The associative property is one of those fundamental properties of math that make math work. You probably take this property for granted because it's so ingrained, but it's important to see how the guts of math work, so check out the tutorial and make sure you're solid on your fundamentals!

• Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.

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    What's a Ratio?

    Ratios are everywhere! The scale on a map or blueprint is a ratio. Ingredients sometimes need to be mixed using ratios such as the ratio of water to cement mix when making cement. Watch this tutorial to learn about ratios. Then think of some ratios you've encountered before!

• Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations).

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    What is a Variable?

    You can't do algebra without working with variables, but variables can be confusing. If you've ever wondered what variables are, then this tutorial is for you!

• Know and apply the properties of integer exponents to generate equivalent numerical expressions.

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    What's the Quotient of Powers Rule?

    Working with exponents can be lots of fun, as long as you understand how they work. In this tutorial you'll see how exponents add when you divide the same number raised to different exponents!