North Carolina SCOS Integrated Math 2

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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) NC.M2.N-RN.1-2 Extend the properties of exponents to rational exponents. a. Simplifying Radical Expressions (Numbers Only) b. Adding Radical Expressions (Numbers Only) c. Subtracting Radical Expressions (Numbers Only) d. Multiplying Radical Expressions (Numbers Only) e. Dividing Radical Expressions (Numbers Only) f. Simplifying Combinations of Radical Expressions (Multiple Operations -- Numbers Only) g. Simplifying Radical Expressions (Includes Variables) (Requires some factoring) h. Adding Radical Expressions (Includes Variables) (Requires some factoring) i. Subtracting Radical Expressions (Includes Variables) (Requires some factoring) j. Multiplying Radical Expressions (Includes Variables) k. Dividing Radical Expressions (Includes Variables & Requires Rationalizing Denominators) l. Converting Radicals to Exponents (Rationals) m. Converting Exponents (Rationals) to Radicals (Random) NC.M2.N-RN.3 Use properties of rational and irrational numbers. a. Graphing Irrational Numbers on a Number Line b. Classifying Numbers into Fields (Natural, Whole, Real, etc.) (Random) NC.M2.N-CN.1 Defining complex numbers. a. Identifying Field properties (distributive, associative, etc) (Integers) b. Identifying Field properties (Polynomials) c. Identifying Field properties (Complex Numbers) d. Fixing Radicals into Imaginary Numbers e. Adding Complex Numbers f. Subtracting Complex Numbers g. Multiplying Complex Numbers h. Dividing Complex Numbers (Random) NC.M2.A-SSE.1,3 Interpret the structure of expressions. a. Multiplying Polynomials b. Using Synthetic Division c. Using Long Division d. Using Box Division e. Dividing Polynomials by a Binomial (requires factoring) f. Identifying GCFs g. Factoring out Monomials h. Factoring Trinomials with hints i. Factoring Trinomials (a=1) (Grid Factoring Video) j. Factoring Trinomials (a>1) (Grid Factoring Video) k. Factoring Difference of Squares l. Factoring Perfect Square Trinomials m. Multiplying Monomials (includes negative exponents) n. Dividing Monomials (includes negative exponents) o. Dividing Polynomials by a Monomial (no factoring needed) p. Solving for x in Area Problems q. Area Word Problems r. Factoring to Solve Quadratic Equations (Random) NC.M2.A-APR.1 Perform arithmetic operations on polynomials. a. Identifying Basic Field Properties b. Identifying Properties of Equality c. Identifying Reflexive, Symmetric, Transitive d. Using the Distributive Law (First Steps) e. Using the Distributive Law f. Identifying Axioms of Inequalities (Random) NC.M2.A-CED.1-3 Create equations that describe numbers or relationships. a. Area Problems b. Figuring out a Budget (without Sales tax) c. Applying Percents to Numbers d. Calculating Sales Tax and Tip Word Problems e. Figuring out a Budget (with Sales tax) f. Calculating Discounts Word Problems g. Calculating Simple Interest Word Problems h. Calculating Compound Interest Word Problems i. Calculating Percent of Increase/Decrease Word Problems j. Solving Percent of Change Problems (Random) NC.M2.A-REI.1-2 Understand solving equations as a process of reasoning and explain the reasoning. a. Evaluating Expressions b. Adding Polynomials c. Subtracting Polynomials d. Subtracting Polynomials and Setting Up the Subtraction e. Solving for x in Perimeter Problems f. Filling In Algebraic Proofs (Simplifying Expressions) g. Filling In Algebraic Proofs (Equations) h. Solving Equations with Rational Expressions i. Solving Equations with Radical Expressions j. Word Problems of Radical Expressions k. Finding Zeros of a Polynomial l. Graphing a Polynomial m. Finding zeros of a Polynomial from a Graph n. Finding the X-Intercepts of a Polynomial o. Finding a Polynomial equation from Zeros p. Domain and Range of Radical Functions (Random) NC.M2.A-REI.4 Solve equations and inequalities in one variable. a. Solving Quadratic Equations in Vertex form b. Solving Quadratic Equations using the Quadratic Formula c. Verifying Solutions of Quadratic Equations d. Solving Quadratic Based Word Problems (Random) NC.M2.A-REI.7 Solve systems of equations. a. Solving Nonlinear Systems of Equations using Linear Combination b. Solving Nonlinear Systems of Equations using Substitution c. Solving Nonlinear Systems of Equations using Graphing (Random) NC.M2.A-REI.11 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 g. Graphing Linear Inequalities (Random) NC.M2.F-IF.1-2 Understand the concept of a function and use function notation. a. Writing the Equation of a Basic Function from a Graph (Parabola, Line, Absolute Value, etc) b. Writing the Equation of a Basic Function from a Table (Parabola, Line, Absolute Value, etc) c. Describing the Transformation of a Basic Function d. Writing the Equation of a Transformed Function e. Identifying the Transformation (Rotation, Reflection, Translation, or Glide Reflection) f. Applying Rotations g. Applying Reflections h. Applying Translations (with Vectors) i. Composition of Transformations	(Random) NC.M2.F-IF.4 Interpret functions that arise in applications in terms of the context. a. Finding Domains of Functions b. Finding Ranges of Functions c. Determining Symmetries of Functions d. Calculating Average Rate of Change e. Describing End Behavior of Polynomials f. Describing End Behavior as Limits (Random) NC.M2.F-IF.7-9 Analyze functions using different representations. a. Exponential Growth b. Finding Maximum and Minimum Values in Graphs c. Finding the Min/Max of a Parabola from a Graph d. Finding the Axis of Symmetry of a Parabola from a Graph e. Finding the Vertex of a Parabola from a Graph (Random) NC.M2.F-BF.1 Build a function that models a relationship between two quantities. a. Writing Quadratic Functions from Graphs b. Writing Quadratic Functions from Words c. Writing Quadratic Functions from Sets/Tables d. Writing Quadratic Functions from Sequences (Random) NC.M2.F-BF.3 Build new functions from existing functions. a. Operations with Functions b. Finding Inverses of Functions c. Finding Composition of Functions d. Using Composition of Functions to Identify Inverse Functions (Random) NC.M2.G-CO.2-5 Experiment with transformations in the plane. a. Defining Common Notation b. Using Point, Line, and Plane Postulates c. Using the Distance Formula d. Finding Points using Distance e. Identifying Line Symmetry f. Identifying Rotational and Point Symmetry g. Reflecting Twice h. Applying Glide Reflections i. Classifying Frieze Patterns j. Finding the Minimum Distance between two Points Touching a Line k. Finding Arc Length (Random) NC.M2.G-CO.6-8 Understand congruence in terms of rigid motions. a. Writing Congruence Statements for Triangles b. Using Triangle Congruence Theorems c. Filling in Reasons for Proving Triangles are Congruent d. Proving Triangles are Congruent e. Using Triangle Congruence to find a Missing Point f. Filling in Reasons when Using CPCTC in Proofs g. Using CPCTC in Proofs h. Proving Congruent with Coordinate Proofs (Random) NC.M2.G-CO.9-10 Prove geometric theorems. a. Identifying Complementary, Supplementary, and Congruent Angles b. Using Complementary, Supplementary, and Congruent Angles c. Using the Definition of Bisect d. Using the Vertical Angle Theorem e. Using the Linear Pair Postulate f. Using the Triangle Sum Theorem to Find Angle Measures g. Using the Exterior Angle Theorem to Find Angle Measures h. Finding Angle Measures (Combinations of the Above) i. Naming Angle Pairs when given Two Lines and a Transversal (does not include same side exterior) j. Identifying Angle Relationships when given Two Parallel Lines and a Transversal k. Deciding when Lines are Parallel Given Two Lines and a Transversal l. Finding the value of x to prove two Lines are Parallel m. Filling in Reasons for Proofs Involving Transversals n. Proofs Involving Transversals o. Identifying Angle Bisectors, Perpendicular Bisectors, Medians, Altitudes, and Midsegments p. Finding the Endpoints of the Triangle given the Endpoints of the Midsegments q. Using Midsegments in Triangles (Random) NC.M2.G-SRT.1-3 Understand similarity in terms of similarity transformations. a. Writing Similarity Statements and Statements of Proportion for Triangles b. Using Triangle Similarity Theorems c. Filling in Reasons when Proving Triangles are Similar d. Proving Triangles are Similar e. Using Triangle Similarity to find a Missing Point f. Finding the Scale Factor g. Using Proportional Reasoning with Similar Objects h. Using Scale Factors in Dilations (Random) NC.M2.G-SRT.4 Prove theorems involving similarity. a. Simplifying Radicals b. Using Proportions in Similar Triangles c. Word Problems with Similar Triangles (Random) NC.M2.G-SRT.6,8,12 Define trigonometric ratios and solve problems involving right triangles. a. Using the Pythagorean Theorem b. Using Special Right Triangles c. Finding Trigonometric Functions from Triangles d. Solving Ratios with Trigonometric Functions e. Using Trigonometry (Sin, Cos, Tan) to find Side Lengths f. Using Inverse Trigonometric Functions (Sin^-1, Cos^-1, Tan^-1) to find Angles g. Solving Right Triangles (Random) NC.M2.S-IC.2 Understand and evaluate random processes underlying statistical experiments. a. Finding the Number of Possible Arrangements of Objects b. Finding Probability of Mutually Exclusive Events c. Calculating Combinations d. Calculating Rearrangements of Words e. Calculating with Variations in Quantity f. Exploring Probability Relationships In Pascal's Triangle g. Calculating the Probability of Something Not Happening (Random) NC.M2.S-CP.1,3-5 Understand independence and conditional probability and use them to interpret data. a. Reviewing Set Notation b. Subsets of Real Numbers c. Drawing Venn Diagrams d. Finding the Complement e. Finding a Union f. Finding an Intersection g. Finding a Relative Complement h. Writing and Identifying More Complicated Subsets i. Finding the Ordinal Of a Set j. Venn Diagram Word Problems k. Set Builder Notation to Interval and Back (Random) NC.M2.S-CP.6-8 Use the rules of probability to compute probabilities of compound events in a uniform probability model. a. Frequency Tables and Bar Charts b. Marginal and Joint Frequencies for two-way Tables c. Addition Rule, Multiplication Rule, Conditional Probabilities, and Independence d. Finding Probability of Independent Events e. Calculating Permutations (And other cases where order matters) f. Conditional Relative Frequencies and Association (and Simpson's Paradox) g. Comparing Distributions Using Bar Charts
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