ALGEBRA 1

Concepts / Goals / Assessment / Standards
Evaluate Variable Expressions / Define, write and evaluate (single step operations), including exponents / Quiz
Apply Order of Operations (incl. Grouping Symbols) / Quiz
Write Expressions/ Equations/Inequalities (translate verbal phrases/find unit rates). Identify solutions / Quiz
Represent Functions as Rules/tables/Graphs (Identify Domain/Range) define dependent/independent variable create tables, maps, graphs. Write rules. Define function. Use vertical line test on graphs. / Quiz
Demonstrate knowledge on Algebraic Expressions / Functions / Unit Test
Define and Use Properties of Real Numbers / Define number groups: whole, integers, rational, irrational / Quiz
Find Opposites and absolute values of Real numbers / Quiz
Add/Subt/Multi/Div Real numbers (Sign rules) / Quiz
Define properties of Addition/Multi / Quiz
Apply Distributive Property / Estimate Using Distributive Property Define terms, coefficients,like terms, constants / Quiz
Find / Estimate Square Roots (Define perfect Squares) / Quiz
Order Real numbers / Quiz
Demonstrate knowledge on numbergroups, operations, dist prop,square roots, ordering of real numbers / Unit Test

ALGEBRA 1

Concepts / goals / Assessment / Standards
Solving Linear Equations / Solve one-two-multi-step equations. Define inverse operations, equivalence,
Reciprocal / Quiz
Determine the number of solutions. Define Identity. / Quiz
Write and Solve Ratios and Proportions (simplest terms, cross products) / Quiz
Use proportions and percent equation to solve percent problems / Quiz
Rewrite Equations and Formulas. Define Literal equation. / Quiz
Demonstrate the ability to correctly write and solve equations, ratios and proportions, percent equations, and literal equations / Unit Test

ALGEBRA 1

Concepts / goals / Assessment / Standards
Graphing Linear Equations and Functions / Plot points on a coordinate plane. Use domain/range to create ordered pairs to
Graph a function. / Quiz
Perform transformations on geometric figures on a coord plane / Quiz
Graph linear equations (single and two variable) / Quiz
Graph using intercepts. Define x and y intercepts. / Quiz
Define and calculate Slope (rate of change). Classify lines using slope / Quiz
Graph using Slope intercept form (y=mx+b). determine parallelism and perpendicular lines. / Quiz
Graph Linear functions with function notation, define family of functions. Compare graphs to the parent graph / Quiz
Demonstrate knowledge of graphing linear equations and interpreting graphs / Unit Test

ALGEBRA 1

Concepts / goals / Assessment / Standards
Writing Linear Equations / Write/Use Linear Equations in Slope-intercept form (y=mx+b). Given slope and a
Point or two points. / Quiz
Write Linear equations in point slope form (y- y1 = m (x – x1)) / Quiz
Write Linear Equations in Std. form (ref horiz and vert lines) / Quiz
Write Eq’ns for lines that are parallel or perpendicular (slope focus) / Quiz
Quiz
Demonstrate knowledge of writing linear eq’ns using multiple forms and specific criteria / Unit Test

ALGEBRA 1

Concepts / goals / Assessment / Standards
Solving and Graphing Linear Inequalities / Solve inequalities (Add/Subt/multi/div) : inequalities with negative coefficients / Quiz
Solve Multi-step inequalities (neg coefficients) / Quiz
Solve Compound Inequalities (and/or) / Quiz
Solve Absolute Value equations (number of solutions i.e. neg abs values) with Extension:graphing abs val function / Quiz
Solve abs val inequalities: use appropriate compound inequality / Quiz
Graph Linear inequalities in two variables. Identify boundary lines (dashed vs. solid) and half plane solution / Quiz
Demonstrate knowledge of Linear inequalities in single and two variables. Demo knowledge of abs value and compound inequalities / Unit Test

ALGEBRA 1

Concepts / goals / Assessment / Standards
Systems of Linear Eq’ns and Inequalities / Solve Linear System by Graphing. Define (x,y) solution or number of solutions
Consistent/inconsistent/dependent/independent / Quiz
Solve Linear systems by substitution / Quiz
Solve linear systems by addition/subtraction / Quiz
Solve Linear systems multiplying first (linear comb) / Quiz
Solve Special types of linear systems (refer to consistent/inconsis/dep/indep systems / Quiz
Solve systems of linear equations (refer to boundary lines and half planes) solution is the intersection of the half planes. / Quiz
Demonstrate knowledge of solving systems of equations and inequalities / Unit Test

ALGEBRA 1

Concepts / goals / Assessment / Standards
Exponents and Exponential Functions / Apply properties of exponents involving products—product of powers, power of a
Power, power of a product / Quiz
Apply properties of exponents involving quotients—quotient of powers,power of a quotient. / Quiz
Define and use zero and negative exponents / Quiz
Demonstrate knowledge of and use of properties of exponents / Unit Test

ALGEBRA 1

Concepts / goals / Assessment / Standards
Polynomials and Factoring / Add/subtract polynomials. Define degree, monomial,bi, tri polynomial, leading
coeff.(reminder of like terms) / Quiz
Multiply polynomials(foil, distr. Prop) / Quiz
Find special products of polynomials (bi sq, sum/difference)/Binomial expansion / Quiz
Solve polynomial equations in factored form.(zero product prop, roots / Factor a greatest common monomial / Quiz
Factor polynomial with l.c. of 1 (x2 + bx +c) / Quiz
Factor polynomial ax2 + bx + c where a > 1 / Quiz
Factor Special Products: DOTS, PST, / Quiz
Factor polynomials completely (by grouping, common binomial) / Quiz
Demonstrate polynomial operations and factoring / Unit Test

ALGEBRA 1

Concepts / goals / Assessment / Standards
Quadratic Equations and Functions / Graph y = ax2 + c (define vertex, axis of sym) / Quiz
Graph y = ax2 + bx + c (use vertex / compare to parent) Find max and min / Quiz
Solve Quadratic equations using square roots / Quiz
Solve Quadratic equations using the Quadratic formula / Quiz
Demonstrate knowledge of graphing and solving quadratic equations/functions / Unit Test
Radicals and Geometry Connections / Simplify Radical expressions Product property/ Quotient prop/ rationalizing the denom / Quiz
Apply the Pythagorean Theorem and its converse / Quiz
Apply the distance and midpoint formulas / Quiz
Demonstrate knowledge of radicals, pyth thm., midpt.form / Unit Test

ALGEBRA 1

Concepts / goals / Assessment / Standards
Probability and Data Analysis / Find probability and odds. Define outcome, event, probability(theoretical vs.
Experimental) favor/against / Quiz
Find probabilities of compound events. Define mutually exclusive/overlapping independent vs. dependent events / Quiz
Use measure of central tendency and dispersion (mean, median, mode,range, variance, std.dev. / Quiz
Interpret Stem and Leaf plots and histograms / Quiz
Interpret Box and Whisker plots / Quiz
Demonstrate ability to find prob and odds, use and construct stem/leaf and box and whisker plots / Unit Test