NYS Learning Standards Algebra I

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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) N-RN.B.3 Use properties of rational and irrational numbers. a. Classifying Numbers (Natural, Whole, Integer, Irrational, Rational, Real) b. Finding Numbers (Natural, Whole, Integer, Irrational, Rational, Real) c. Simplifying Square Roots of Square Numbers d. Estimating Square Roots (decimal values) e. Simplifying Square Roots f. Simplifying Harder Square Roots g. Adding/Subtracting Square Roots h. Multiplying Square Roots i. Rationalizing Denominators with Roots j. Dividing Square and Cube Roots (requires Rationalizing) k. Classifying Numbers into Fields (Natural, Whole, Real, etc.) l. Identifying Basic Field Properties m. Identifying Properties of Equality n. Identifying Reflexive, Symmetric, Transitive o. Using the Distributive Law (First Steps) p. Using the Distributive Law q. Identifying Axioms of Inequalities (Random) N-Q.A.1,3 Reason quantitatively and use units to solve problems. a. Choosing Appropriate Measure - Weights (US Standard Units) b. Choosing Appropriate Measure - Lengths (US Standard Units) c. Choosing Appropriate Measure - Liquid Volumes (US Standard Units) d. Choosing Appropriate Measure - Weights (Metric Units) e. Choosing Appropriate Measure - Lengths (Metric Units) f. Choosing Appropriate Measure - Liquid Volumes (Metric Units) g. Reading Graphs for Word Problems h. Translating Verbal Expressions i. Translating Verbal Equations j. Translating Verbal Inequalities k. Writing an Equation from Word Problems or Pictures l. Evaluating Verbal Expressions (Random) A-SSE.A.1-2 Interpret the structure of expressions. a. Identifying Like Terms b. Classifying Polynomials by the Number of Terms c. Finding and Completing Patterns (from Pictures) d. Finding and Completing Patterns (from Tables) e. Finding and Completing Patterns (from Sequences) f. Finding and Completing Patterns (from Word Problems) g. Identifying GCFs h. Factoring out Monomials i. Factoring Trinomials with hints j. Factoring Trinomials (a=1) (Grid Factoring Video) k. Factoring Trinomials (a>1) (Grid Factoring Video) l. Factoring Difference of Squares m. Factoring Perfect Square Trinomials (Random) A-SSE.B.3 Write expressions in equivalent forms to reveal their characteristics. a. Multiplying Monomials (includes negative exponents) b. Dividing Monomials (includes negative exponents) c. Dividing Polynomials by a Monomial (no factoring needed) d. Solving for x in Area Problems e. Area Word Problems f. Factoring to Solve Quadratic Equations (Random) A-APR.A.1 Perform arithmetic operations on polynomials. a. Adding Polynomials b. Subtracting Polynomials c. Multiplying Polynomials (Random) A-APR.B.3 Understand the relationship between zeros and factors of polynomials. a. Graphically Finding the Roots and Zeros b. Identifying Zeros of Graphs c. Relating Factors, Zeros and X-Intercepts (Random) A-CED.A.1-4 Create equations that describe numbers or relationships. a. Solving Simple Linear Equations b. Solving Multi-Step Linear Equations (constant on one side) c. Solving Linear Equations with x's on both sides d. Solving Multi-Step Linear Equations e. Solving Linear Inequalities f. Solving Literal Equations g. Setting up Word Problems h. Solving Mixture Problems i. Area Problems j. Figuring out a Budget (without Sales tax) k. Applying Percents to Numbers l. Calculating Sales Tax and Tip Word Problems m. Figuring out a Budget (with Sales tax) n. Calculating Discounts Word Problems o. Calculating Simple Interest Word Problems p. Calculating Compound Interest Word Problems q. Calculating Percent of Increase/Decrease Word Problems r. Solving Percent of Change Problems s. Solving Quadratics by Completing the Square (Random) A-REI.A.1 Understand solving equations as a process of reasoning and explain the reasoning. a. Filling In Algebraic Proofs (Simplifying Expressions) b. Filling In Algebraic Proofs (Equations) (Random) A-REI.B.3-4 Solve equations and inequalities in one variable. a. Evaluating Expressions b. Subtracting Polynomials and Setting Up the Subtraction c. Solving for x in Perimeter Problems d. Identifying the Number of Solutions of a Quadratic Using the Discriminant e. Solving Quadratics By The Square-Root Method f. Solving Quadratics by Graphing g. Solving Quadratics by Factoring h. Solving Quadratic Equations in Vertex form i. Solving Quadratic Equations using the Quadratic Formula j. Verifying Solutions of Quadratic Equations k. Solving Quadratic Based Word Problems (Random) A-REI.C.6-7 Solve systems of equations. a. Determining the number of Solutions of a System of Linear Equations b. Determining the Types of Lines in a System of Linear Equations (intersecting, parallel, or infinite solutions) c. Solving Two Linear Equations in Two Variables with Linear Combination d. Solving Two Linear Equations in Two Variables with Substitution e. Solving Two Linear Equations in Two Variables by Graphing f. Graphing Systems of Linear Inequalities g. Verify Solution of a System of Linear Equations h. Solving Nonlinear Systems of Equations using Linear Combination i. Solving Nonlinear Systems of Equations using Substitution (Random) A-REI.D.10-12 Represent and solve equations and inequalities graphically. a. Graphing Linear Inequalities b. Writing the Equation of a Linear Graph c. Graphing in Slope-Intercept Form d. Graphing with Point-Slope Form e. Graphing from Standard Form f. Graphing with x and y Intercepts	(Random) F-IF.A.1-3 Understand the concept of a function and use function notation. a. Identifying Functions from Relations. b. Completing Tables c. Finding the value of a relation d. Finding Domain of Relations e. Finding Range of Relations f. Graphically Solving Quadratic Equations g. Defining an Arithmetic Sequence with Recursion h. Defining a Geometric Sequence with Recursion (Random) F-IF.B.4-6 Interpret functions that arise in applications in terms of the context. a. Finding Domains of Functions b. Finding Ranges of Functions c. Finding where a Linear Function is increasing d. Finding where a Linear Function is decreasing e. Finding where a Linear Function is positive f. Finding where a Linear Function is negative g. Finding maxima and minima of a Linear Function h. Finding zeros of a Linear Function i. Finding the rate of change of a Linear Function j. Find the domain and range of a Quadratic Function k. Finding where a Quadratic Function is increasing l. Finding where a Quadratic Function is decreasing m. Finding where a Quadratic Function is positive n. Finding where a Quadratic Function is negative o. Finding maxima and minima of a Quadratic Function p. Finding zeros of a Quadratic Function q. Finding the rate of change of a Quadratic Function r. Finding Slope of a Linear Equation s. Finding Slope for a Linear Graph t. Finding Slope from 2 Points u. Identifying Positive/Negative Slope v. Finding Slope of a Parallel Line w. Finding where a Radical Function is positive x. Finding where a Radical Function is negative y. Finding symmetries of a Radical Function z. Finding maxima and minima of a Radical Function aa. Finding the rate of change of a Radical Function bb. Finding zeros of a Radical Function cc. Finding Values of Functions dd. Finding areas of Increasing or Decreasing for Functions ee. Describing End Behavior of Polynomials ff. Finding X and Y-Intercepts of Functions gg. Finding the Min/Max of a Parabola from Standard Form hh. Finding the Vertex of a Parabola from Standard Form ii. Finding the Axis of Symmetry of a Parabola from Standard Form jj. Calculating Average Rates (Random) F-IF.C.7-9 Analyze functions using different representations. a. Finding the x and y Intercepts From an Equation b. Identify x and y Intercepts from a Graph c. Find the x-intercepts of a Linear Function d. Find the y-intercepts of a Linear Function e. Finding end behavior of a Linear Function f. Find the x-intercepts of a Exponential Function g. Find the y-intercepts of a Exponential Function h. Finding end behavior of a Exponential Function i. Finding maxima and minima of a Exponential Function j. Exponential Growth k. Finding Maximum and Minimum Values in Graphs l. Finding the Min/Max of a Parabola from a Graph m. Finding the Axis of Symmetry of a Parabola from a Graph n. Finding the Vertex of a Parabola from a Graph (Random) F-BF.A.1 Build a function that models a relationship between two quantities. a. Identifying Arithmetic/Geometry Sequences b. Writing the first n terms of an Arithmetic Sequence c. Finding the n^th term formula for an Arithmetic Sequence d. Finding Arithmetic Means e. Writing the first n terms of a Geometric Sequence f. Finding the n^th term formula for a Geometric Sequence g. Finding Geometric Means (Random) F-BF.B.3 Build new functions from existing functions. a. Describing the Transformation of a Basic Function b. Writing the Equation of a Transformed Function c. Finding Inverses of Functions d. Finding Composition of Functions e. Using Composition of Functions to Identify Inverse Functions (Random) F-LE.A.1-3 Construct and compare linear, quadratic, and exponential models and solve problems. 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. Writing Quadratic Functions from Graphs f. Writing Quadratic Functions from Words g. Writing Quadratic Functions from Sets/Tables h. Writing Quadratic Functions from Sequences i. Writing Exponential Functions from Graphs j. Writing Exponential Functions from Words k. Writing Exponential Functions from Sets/Tables l. Writing Exponential Functions from Sequences m. Completing Ordered Pairs for Linear Equations n. Checking Points for Solutions in Linear Equations o. Expressing Solutions to Quadratic Equations in a Table p. Perimeter and Area Problems (Random) F-LE.B.5 Interpret expressions for functions in terms of the situation they model. a. Solving Word Problems (Systems of Linear Equations) b. Identifying the function graph (exponential / logarithmic / polynomial / absolute value / etc) c. Recognizing the Equations and Graphs of Absolute Value, Greatest Integer, and Exponential Functions d. Triangle Sum Word Problems e. Basic Growth And Decay Problems f. Multiple Bank Account Word Problems (Random) S-ID.A.1-3 Summarize, represent, and interpret data on a single count or measurement variable. a. Finding Mean, Median and Mode b. Identifying the Meaning of Mean, Median and Mode c. Finding Standard Deviation (s) d. Finding Standard Deviation (σ) e. Finding Missing Values Given the Mean (Random) S-ID.B.5-6 Summarize, represent, and interpret data on two categorical and quantitative variables. a. Finding the Line of Best Fit from a Table or Scatter Plot b. Predicting with the Line of Best Fit c. Finding the Curve of Best Fit d. Displaying Data using Frequency Distribution Chart e. Reading Frequency Distribution Chart (Random) S-ID.C.7-9 Interpret linear models. a. Identifying Positive, Negative, and Zero Correlation b. Linear Correlation c. Correlation and Linearity d. Explaining Slope and Intercepts of Graphs in Word Problems
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