Linear Equations - MathBitsNotebook (A1)

Linear Equations

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indicates compatibility to NY Next Generation Math Standards (NGMS)

LESSONS:

* calculator link

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Notations for Expressing Solutions (roster, set notation, interval notation)

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Solving Equations Algebraically (quick review, refer to "Refreshers" if needed)

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Justify Solutions to Linear Equations (giving reasons)

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Literal Equations - "Highlighting a Quantity" (solve for a specific variable)

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Truth Value of Equations (always true, true under certain conditions, always false)

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Equations of Straight Lines (slope-intercept, point-slope, standard forms; horiz, vertical)

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Graphing Linear Equations (intercept approach)

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Constraints on Equations (limitations placed on a graph)

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Graphs with Linear "Parts" (piecewise linear, absolute value, step, and story functions)

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Translating Algebraic Equations (words to equations)

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Types of Word Problems (number, %, age, distance, consecutive integer, $, mixture)

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Consecutive Integer Equations

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Mindful Algebraic Calculations - Linear Equations

PRACTICE:
•	Solving Linear Equations Practice (multi-steps)
•	Justifying Solutions Practice (giving reasons)
•	Literal Equations Practice

•	Truth Value of Equations Practice

•	Equations of Straight Lines Practice
•	Graphs of Linear Equations Practice
•	Constraints on Linear Equations Practice
•	Graphs with Linear "Parts" Practice (piecewise linear)

•	Translating Algebraic Equations Practice (words to equations)
•	Applications of Linear Equations Practice (a variety of word style problems)
•	Consecutive Integer Equations Practice
•	Distance & Speed Practice
•	Mixture Problems

REFRESHERS: (review old skills)
* •	Solving One-Step Linear Equations (one-step:: x + p = q, px = q; x/p = q)
* •	Solving Two-Step Linear Equations (two-step: px+ q = r, p(x = q) = r, combine terms)
* •	Solving Multi-Step Linear Equations (variable on both sides)

•	Slope and Rate of Change (slope; independent / dependent variables)
•	Hitting the Slopes (with Oscar - positive, negative, zero, undefined slopes)
•	Graphing Linear Equations Refresher (table/chart; slope-intercept)

•	Practice with Basic Linear Equations
•	Practice with Two-Step Linear Equations
•	Practice with Multi-Step Linear Equations

•	Practice with Graphing Linear Equations