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- HSA-SSE.A.1Interpret expressions that represent a quantity in terms of its context.*
- HSA-SSE.A.2Use the structure of an expression to identify ways to rewrite it. For example, see x<sup>4</sup> – y<sup>4</sup> as (x<sup>2</sup>)<sup>2</sup> – (y<sup>2</sup>)<sup>2</sup>, thus recognizing it as a difference of squares that can be factored as (x<sup>2</sup> – y<sup>2</sup>)(x<sup>2</sup> + y<sup>2</sup>).

Irrational (and Other!) Numbers on the Number Line

Algebra I

» Unit:

The Number Line Project

Big Idea:In addition to continuing with their work, students learn one of my favorite closing structures: appreciations!

Speed Dating Rationally

12th Grade Math

» Unit:

Rational Functions and Equations

Big Idea:Efficiency and accuracy improves as students solve rational equations with their ‘date’ in this interactive and self-checking speed dating activity.

The Exercise Plan (Day 1 of 2)

Algebra I

» Unit:

Extending Equations

Big Idea:Use linear models to help Jack make an exercise plan that will help him lose one pound each week.

Solving Systems by Graphing

Algebra I

» Unit:

Systems of Equations

Big Idea:As students gain confidence in graphing - and interpreting the intersection points on - systems of equations, we continue to see how this skill relates to guess and check.

Selling Cake Pops Day 2 of 5

Algebra II

» Unit:

Modeling with Expressions and Equations

Big Idea:Extend writing expressions into solving equations through modeling a student run business. Linear modeling as entry point to build students' algebra confidence.

True & False Equations (Day 1 of 2)

Algebra I

» Unit:

Understanding Equations

Big Idea:Let's take an in-depth look at what it means for mathematical sentences to be equal.

The Exercise Plan (Day 2 of 2)

Algebra I

» Unit:

Extending Equations

Big Idea:Continue to refine and improve a model exercise plan that will help Jack lose one pound each week.

Can the Dog Reach the Bone? Determine whether a Point Lies within a Circle

12th Grade Math

» Unit:

Circles

Big Idea:Will the dog be able to reach its bone? Students apply the definition of a circle, along with a method for determining whether or not a point lies on a circle.

Organizing a List and Guess & Check

Algebra I

» Unit:

Systems of Equations

Big Idea:In order for guessing and checking to be useful and efficient, it’s important to have an idea of how to organize a list of possibilities.

Transformation of Polynomial Functions

Algebra II

» Unit:

Polynomial Functions

Big Idea:Models support conceptual understanding of function transformations. From cube to cubic!

Three Ways to Solve a Problem

Algebra I

» Unit:

Systems of Equations

Big Idea:Over the course of today’s lesson, students will beg for an algebraic solution, understand on their own why it’s great that algebra was invented, and see the beauty of an elegant solution.

What's In an Intersection?

Algebra I

» Unit:

Systems of Equations

Big Idea:The "closeness" of one graph to another matches the accuracy of a guess and a check.

More Absolute Value Graphs

12th Grade Math

» Unit:

Piecewise Functions

Big Idea:Use graphing technology and open-ended problems to explore the graphs of absolute value functions.

Standard Form of Circle Equations

12th Grade Math

» Unit:

Circles

Big Idea:How can I tell if this weird-looking equation will make a circle when I graph it? Students discover how to apply previous knowledge about completing the square to a new problem.

Border Tiles: Seeing Structure in Algebraic Expressions

Algebra I

» Unit:

Multiple Representations: Situations, Tables, Graphs, and Equations

Big Idea:Don't count! Students find different approaches for counting tiles around a garden and then write rules that represent their methods.

HSA-SSE.A.1a

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

HSA-SSE.A.1b

Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1+r)^{n} as the product of P and a factor not depending on P.