Algebra 1 section of MathBitsNotebook.com

 Linear (Equations & Functions)
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indicates compatibility to NY Next Generation Math Standards (NGMS)
 LESSONS: * calculator link
Notations for Expressing Solutions (roster, set notation, interval notation)

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Solving Equations Algebraically (review all types, refer to "Refreshers" if needed)
Literal Equations - "Highlighting a Quantity" (solve for a specific variable)

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

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Graphing Linear Equations (table/chart, slope-intercept method, intercept method)
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Equations of Straight Lines (slope-intercept, point-slope, standard forms; horiz, vertical)

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Remembering Function Basics (definition, domain/range, vertical line test, notation)
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Linear Functions (defn, tables, equations, graphs, identity function, constant function)
Examining Functions (examining slope, y-intercept, increase/decrease, match graphs)
* Piecewise-Defined Functions (apply to linear only, methods of graphing, examples)
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Absolute Value Functions (as a piecewise function, features of graph, coefficients)
Step Functions (as a piecewise function, definition, examples, greatest integer function)

MODELING LINEAR EQUATIONS & FUNCTIONS:

Constraints on Equations (limitations placed on an equation or graph)

Translating Algebraic Equations (words to equations)
Types of Word Problems (number, %, age, distance, consecutive integer, \$, mixture)
Consecutive Integer Equations

Linear Function Models
Linear Piecewise Function Models
"Story" Linear Functions (a piecewise function of a series of events)

 PRACTICE: • Solving Linear Equations Practice (multi-steps) • Solving Linear Equations with Fractions • 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) MODELING LINEAR EQUATIONS & FUNCTIONS: • 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 • Linear Function Models Practice • Modeling with Linear Piecewise Graphs

 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) • Slope and Rate of Change (slope; independent / dependent variables) • Hitting the Slopes (with Oscar - positive, negative, zero, undefined slopes) • Practice with Basic Linear Equations • Practice with Two-Step Linear Equations • Practice with Multi-Step Linear Equations • Practice with Graphing Linear Equations