Georgia GSE Foundations of Algebra

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Select the number of each type of objective: (Selecting Random will randomly generate all subtypes) Click on any title to see the free sample worksheet. (only the first few samples are free) (Random) Module 1 MFA.NSQ.1 Students will analyze number relationships. a. Estimating Whole Number Sums Word Problems b. Estimating Whole Number Differences Word Problems c. Adding Whole Numbers Word Problems d. Subtracting Whole Numbers Word Problems e. Adding Decimals (not lined up) f. Estimating a Product Word Problems g. Estimating a Quotient Word Problems h. Relating Multiplication and Division i. Using Division as the Inverse of Multiplication (Equations) j. Using Multiplication as the Inverse of Division (Equations) k. Using Division as the Inverse of Multiplication Word Problems l. Using Multiplication as the Inverse of Division Word Problems m. Balance Multiplication Equations n. Balance Division Equations o. Multiplying 1/b by a Whole Number p. Multiplying Fractions by a Whole Number q. Multiplying Fractions by a Whole Number Word Problems r. Multiplying Decimals by powers of 10 s. Dividing Decimals by powers of 10 t. Comparing Decimal Numbers u. Rounding Decimal Numbers v. Converting a Fraction to a Decimal (Random) Module 1 MFA.NSQ.2 Students will conceptualize positive and negative numbers (including decimals and fractions). a. Negative Numbers Word Problems b. Absolute Value of Integers c. Graphing Integers Numbers on a Number Line (Random) Module 1 MFA.NSQ.3 Students will recognize that there are numbers that are not rational, and approximate them with rational numbers. a. Classifying Numbers in Subsets of the Real Numbers b. Comparing Subsets of the Real Numbers c. Converting Fractions to Terminating Decimals d. Converting Terminating Decimals to Fractions e. Converting Fractions to Repeating Decimals f. Converting Repeating Decimals to Fractions g. Converting a Fraction to a Decimal h. Illustrating the Density of Rational Numbers i. Graphing Rational Numbers on a Number Line j. Graphing Irrational Numbers on a Number Line k. Adding/Subtracting Monomials Rational Expressions l. Simplifying Square Roots m. Simplifying Harder Square Roots n. Adding/Subtracting Square Roots o. Multiplying Square Roots p. Simplifying Square Roots of Square Numbers q. Estimating Square Roots (decimal values) r. Creating Factor Trees s. Using the Pythagorean Theorem (finding the Hypotenuse) t. Evaluating a Square Root (of Discriminant) u. Evaluating Square and Cube Root Expressions v. Simplifying Square and Cube Root Expressions (Random) Module 1 MFA.NSQ.4 Students will apply and extend previous understanding of addition, subtraction, multiplication, and division. a. Adding Decimals b. Subtracting Decimals c. Subtracting Decimals (not lined up) d. Multiplying Decimals e. Dividing Decimals f. Decimal Word Problems g. Divisibility Rules (5, 10) h. Divisibility Rules (2, 4, 8) i. Divisibility Rules (3, 9) j. Divisibility Rules (11) k. Absolute Value of Integers l. Adding Integers (+/-/even/odd) m. Subtracting Integers (+/-/even/odd) n. Adding Fractions (Including Mixed) o. Subtracting Fractions (Including Mixed) p. Multiplying Integers (+/-/even/odd) q. Dividing Integers (+/-) r. Multiplying Fractions (Including Mixed) s. Dividing Fractions (Including Mixed) t. Multiplying Fractions (Including Mixed) u. Dividing Fractions (Including Mixed) v. Multiplying Fractions Word Problems w. Dividing Fractions Word Problems x. Solving Age Problems (Random) Module 2 MFA.AA.1 Students will generate and interpret equivalent numeric and algebraic expressions. a. Identifying Variables b. Identifying Coefficients c. Identifying Terms d. Identifying Like Terms e. Adding Monomials f. Subtracting Monomials g. Multiplying Monomials by a Monomial h. Relating Multiplication to Area i. Relating Division to Area j. Identifying Addition Key Words in Verbal Expressions k. Identifying Subtraction Key Words in Verbal Expressions l. Identifying Multiplication Key Words in Verbal Expressions m. Identifying Division Key Words in Verbal Expressions n. Translating More Complex Verbal Expressions o. Translating Verbal Equations p. Identifying Variables q. Identifying Coefficients r. Identifying Terms s. Identifying Degrees of Monomials t. Identifying Degrees of Polynomials u. Identifying Expressions / Equalities / Inequalities v. Identifying Like Terms w. Adding Monomials x. Subtracting Monomials y. Multiplying Monomials by a Monomial (Random) Module 2 MFA.AA.2 Students will interpret and use the properties of exponents. a. Using Formulas b. Identifying Equivalent Numbers (Decimals, Percents, Fractions, and numbers in Scientific Notation) c. Powers of Numbers d. Identifying Perfect Squares e. Calculating Square Roots of Squares f. Approximating Square Roots g. Fixing Square and Cube Roots h. Find the value of a Radical Function i. Using the Pythagorean Theorem (Random) Module 3 MFA.PR.1 Students will explain equivalent ratios by using a variety of models. a. Creating Rates and Ratios from Word Problems b. Solving Scale Model Problems c. Solving Simple Proportion Word Problems d. Solving Complex Proportion Word Problems e. Applying Percents to Numbers f. Converting from Decimals to Percents g. Converting from Percents to Fractions h. Converting from Percents to Decimals i. Comparing Percents j. Calculating Percent of Increase/Decrease Word Problems	(Random) Module 3 MFA.PR.2 Students will recognize and represent proportional relationships between quantities. a. Identifying Fractions from Pictures b. Simplifying Fractions c. Filling in Patterns of Equivalent Fractions d. Comparing Fractions (with Like Denominators) e. Comparing Fractions (with Unlike Denominators) f. Figuring out a Budget (without Sales tax) g. Applying Percents to Numbers h. Calculating Sales Tax and Tip Word Problems i. Figuring out a Budget (with Sales tax) j. Calculating Discounts Word Problems k. Calculating Percent of Increase/Decrease Word Problems l. Solving Percent of Change Problems (Random) Module 3 MFA.PR.3 Students will graph proportional relationships. a. Creating Unit Rates b. Identifying Slope from H/V Graphs c. Identifying Slope from H/V Equations d. Finding Slope Given 2 Points e. Finding Slope From a Graph f. Graphing Lines (by Plotting Points) g. Graphing Functions (by Plotting Points) h. Finding Equations from H/V Graphs i. Graphing H/V Lines j. Recognizing Linear Equations in Slope-Intercept Form k. Changing Equations to Slope-Intercept Form l. Graphing in Slope-Intercept Form (Random) Module 4 MFA.EI.1 Students will create and solve equations and inequalities in one variable. a. Solving Equations by Adding b. Solving Equations by Subtracting c. Solving Equations by Multiplying d. Solving Equations by Dividing e. Testing Solutions of Inequalities f. Solving Inequalities with Addition g. Solving Inequalities with Subtraction h. Solving Inequalities with Multiplication i. Solving Inequalities with Division j. Representing Solutions with Set Notation k. Solving 2 Step Equations l. Solving Equations with Variables on Both Sides m. Solving Equations with the Distributive Law n. Graphing Solutions of ax+b=c (Random) Module 4 MFA.EI.2 Students will use units as a way to understand problems and guide the solutions of multi-step problems. a. Identifying Coordinates given a Graph b. Identifying Multiple sets of Coordinates given a Graph c. Graphing a Point using Coordinates d. Graphing Multiple Points using Coordinates e. Identifying Quadrants given a Point f. Creating Bar Graphs g. Reading Bar Graphs h. Creating Line Graphs i. Reading Line Graphs j. Creating Picture Graphs k. Reading Picture Graphs l. Choose the Appropriate Measure - Length (US Customary) m. Choose the Appropriate Measure - Length (Metric) (Random) Module 4 MFA.EI.3 Students will create algebraic models in two variables. a. Adding Polynomials b. Subtracting Polynomials c. Multiplying Polynomials d. Solving Work Problems e. Solving Trip/Distance Problems f. Solving Age Problems g. Solving Linear Systems of Equations in two Variables h. Solving Two Linear Equations in Two Variables with Linear Combination i. Solving Two Linear Equations in Two Variables with Substitution j. Solving Two Linear Equations in Two Variables by Graphing k. Verify Solution of a System of Linear Equations l. Solving Word Problems (Systems of Linear Equations) (Random) Module 4 MFA.EI.4 Students will solve literal equations a. Solving Literal Equations Using Addition b. Solving Literal Equations Using Subtraction c. Solving Literal Equations Using Multiplication d. Solving Literal Equations Using Division e. Solving 2 (or more) Step Literal Equations (Random) Module 5 MFA.QR.1 Students will understand characteristics of functions a. Using Key Terms Relating to Functions b. Identifying Indepent vs Dependent Variables c. Identifying Functions from Relations (Sets of Points). d. Identifying Functions from Relations (Tables). e. Identifying Functions from Relations (Graphs). f. Completing Linear Tables g. Finding the value of a relation (Sets of Points) h. Finding the value of a relation (Tables) i. Finding the value of a relation (Graphs) j. Finding Domain of Relations (Sets of Points) k. Finding Domain of Relations (Tables) l. Finding Domain of Relations (Graphs) m. Finding Range of Relations (Sets of Points) n. Finding Range of Relations (Tables) o. Finding Range of Relations (Graphs) (Random) Module 5 MFA.QR.2 Students will compare and graph functions. a. Direct Variation b. Finding the Slope and y-Intercept of a Line (from Equation) c. Writing Equations in Slope-Intercept Form from Graphs d. Writing Equations in Slope-Intercept Form from a Point and Slope e. Recognizing the Equations and Graphs of Absolute Value, Greatest Integer, and Exponential Functions f. Recognizing Horizontal and Vertical Shifts in Equations g. Naming Polynomials (Linear/Quadratic/Cubic) h. Graphing Linear Inequalities in 2 Variables i. Graphing Systems of Linear Inequalities j. Graphing Quadratics k. Graphing Cubics l. Find the x-intercepts of a Linear Function m. Find the y-intercepts of a Linear Function n. Transforming a Linear Function o. Finding where a Linear Function is increasing p. Finding where a Linear Function is decreasing q. Finding zeros of a Linear Function r. Finding end behavior of a Linear Function s. Finding symmetries of a Linear Function t. Finding maxima and minima of a Linear Function u. Finding the rate of change of a Linear Function (Random) Module 5 MFA.QR.3 Students will construct and interpret functions. a. Writing Linear Functions from Graphs b. Writing Linear Functions from Words c. Writing Linear Functions from Sets/Tables d. Writing Linear Functions from Sequences e. Solving for the domain of a Linear Function given an element of the range f. Find the value of a Linear Function g. Linear Word Problems - finding slope h. Linear Word Problems - finding y-intercepts i. Linear Word Problems - finding f(a) j. Linear Word Problems - finding x where f(x) = a k. Finding Maximum and Minimum Values in Graphs l. Finding Domains m. Finding Ranges n. Finding X and Y intercepts in Graphs o. Reading Graphs for Word Problems
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