August 10 - September 15

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Algebranation.com

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Review videos and practice problems under Section 1: Expressions

August 15 & August 17

Students will:

• Write, interpret, and evaluate algebraic expressions in a real world context.  

• Classify polynomials by their term and degree.

• Identify the leading term and coefficient of a polynomial

Translating Algebra from words

Definition of parts of an expression

CK-12 Words that describe mathematical operations

CK-12 Translate Between English Phrases and Algebraic Expressions

Algebranation.com Section 1, Topic 1 Expressions

Algebranation.com, Section 1 Topic 2 Polynomials

Khan Academy polynomial videos and practice questions

Classifying polynomials

        MAFS.912.A-APR.1.1

Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.

        MAFS.912.A-SSE.1.1

Interpret expressions that represent a quantity in terms of its context. 

1. Interpret parts of an expression, such as terms, factors, and coefficients.

2. Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret  as the product of P and a factor not depending on P.

August 21, 23, 25, 29

Students will:

• Rewrite expressions using the distributive property.  

• Use the commutative and associative properties to write equivalent expressions.

• Determine which properties have been used when writing equivalent expressions.

Using the Distributive Property in equations

Properties of Real Numbers

Using the Associative and Commutative Properties (video)

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Algebranation.com, sections 3 and 4

         MAFS.912.A-SSE.1.2: Use the structure of an expression to identify ways to rewrite it. 

September 5, 7

We explored the properties of exponents.

Algebranation.com Section 1; topic 5

Math Planet properties of exponents

CK12 property of exponents study guide

Video Lesson; properties of exponents

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Students will:

• Apply their understanding to rewrite expressions with radicals and rational exponents.

• Use the definition of rational exponents and properties of exponents to add expressions with radicals and rational exponents.

• Use the definition of rational exponents and properties of exponents to find products and quotients of expressions with radicals and rational exponents.

September 20:  We reviewed material from before the break from Hurricane Irma.

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September 22:  Rational exponents lesson

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Overview of radicals and rational exponents

Read about rational exponents

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Algebranation.com  Section 1:

• Topic 5: Properties of Exponents 

• Topic 6: Radical Expressions and Expressions with Rational Exponents

• Topic 7: Adding Expressions with Radicals and Rational Exponents

• Topic 8: More Operations with Radicals and Rational Exponents

        MAFS.912.A-SSE.1.2: Use the structure of an expression to identify ways to rewrite it. For example, see x4 - y 4 as (x²)² – (y²)², thus recognizing it as a difference of squares that can be factored as (x² – y²)(x² + y²).

        MAFS.912.N-RN.1.1: Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents.

        MAFS.912.N-RN.1.2: Rewrite expressions involving radicals and rational exponents using properties of exponents.

September 26: Operations with Radicals

Algebranation.com  Section 1:

• Topic 5: Properties of Exponents 

• Topic 6: Radical Expressions and Expressions with Rational Exponents

• Topic 7: Adding Expressions with Radicals and Rational Exponents

• Topic 8: More Operations with Radicals and Rational Exponents

October 2

Students will:

• Analyze various operations and make generalizations on the relationship between rational and irrational numbers.

Classifying rational and irrational numbers

Properties of sums and products of rational and irrational numbers

       MAFS.912.N-RN.2.3: Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational.

Module 1 Show what you know: October 4