North Carolina SCOS Integrated Math 3

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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.M3.N-CN.9 Use complex numbers in polynomial identities and equations. a. Identifying Field properties (Complex Numbers) b. Identifying the Number of Solutions of a Quadratic Using the Discriminant c. Solving Quadratics By The Square-Root Method d. Solving Quadratics by Graphing e. Solving Quadratics by Factoring f. Solving Quadratics by Completing the Square g. Solving Quadratics with the Quadratic Formula (Real Solutions) h. Solving Quadratics that have Imaginary Solutions i. Solving Quadratics (both imaginary and real solutions) (Random) NC.M3.A-SSE.1 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 (Random) NC.M3.A-SSE.3 Write expressions in equivalent forms to solve problems. 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 (Random) NC.M3.A-APR.2-3 Understand the relationship between zeros and factors of polynomials. a. Using Descartes's Rule of Signs b. Using Synthetic Division to Find Roots c. Finding Roots of Polynomials with Rational Roots d. Finding Roots of Polynomials with at most 2 Irrational or Imaginary Roots (Random) NC.M3.A-APR.6-7 Rewrite rational expressions. a. Multiplying Rational Expressions (Easier) (Requires Factoring!) b. Multiplying Rational Expressions (Harder) (Requires Factoring!) c. Dividing Rational Expressions (Easier) (Requires Factoring!) d. Dividing Rational Expressions (Harder) (Requires Factoring!) e. Adding Rational Expressions(Easier) (Requires Factoring!) f. Adding Rational Expressions (Harder) (Requires Factoring!) g. Subtracting Rational Expressions(Easier) (Requires Factoring!) h. Subtracting Rational Expressions (Harder) (Requires Factoring!) i. Mixed Rational Expressions (Multiple Operations with simplify)(Easier) (Requires Factoring!) j. Mixed Rational Expressions (Multiple Operations with simplify) (Harder) (Requires Factoring!) k. Finding Equations of Vertical Asymptotes of Rational Functions l. Finding Equations of Horizontal Asymptotes of Rational Functions m. Adding/Subtracting Monomials Rational Expressions (Random) NC.M3.A-CED.1-3 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. Setting up Word Problems g. Solving Mixture Problems (Random) NC.M3.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 q. Classifying Numbers into Fields (Natural, Whole, Real, etc.) (Random) NC.M3.A-REI.11 Represent and solve equations and inequalities graphically. a. Graphically Finding the Roots and Zeros b. Graphically Solving Quadratic Equations c. Factoring to Solve Quadratic Equations (Random) NC.M3.F-IF.1-2 Understand the concept of a function and use function notation. a. Finding Trigonometric Functions from Triangles b. Solving Ratios with Trigonometric Functions c. Using Trigonometry (Sin, Cos, Tan) to find Side Lengths d. Using Inverse Trigonometric Functions (Sin^-1, Cos^-1, Tan^-1) to find Angles e. Solving Right Triangles f. Finding Area of Right Triangles (Uses Trig!) g. Finding Trigonometric Functions in a Triangle h. Finding Trigonometric Functions of an Angle i. Draw an angle in Standard Position j. Converting from Degrees to Radians k. Converting from Radians to Degrees l. Finding Trigonometric Functions given coordinates on a Unit Circle m. Finding Trigonometric Functions of Special Angles (Degrees) n. Finding Trigonometric Functions of Special Angles (Radians) o. Finding Domain of Piecewise Functions p. Finding Range of Piecewise Functions q. Evaluating Piecewise Functions r. Graphing Linear Piecewise Functions s. Graphing Piecewise Functions (Random) NC.M3.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. Finding where a Linear Function is increasing d. Finding where a Linear Function is decreasing e. Finding the rate of change of a Linear Function f. Finding where a Exponential Function is increasing g. Finding where a Exponential Function is decreasing h. Finding the rate of change of a Exponential Function i. Finding Slope of a Linear Equation j. Finding Slope for a Linear Graph k. Finding Slope from 2 Points l. Identifying Positive/Negative Slope m. Finding Slope of a Parallel Line n. Finding the Min/Max of a Parabola from Standard Form o. Finding the Vertex of a Parabola from Standard Form p. Finding the Axis of Symmetry of a Parabola from Standard Form q. Calculating Average Rates	(Random) NC.M3.F-IF.7,9 Analyze functions using different representations. a. Finding Zeros of Functions b. Finding Values of Functions c. Finding areas of Increasing or Decreasing for Functions d. Describing End Behavior of Polynomials e. Finding X and Y-Intercepts of Functions f. Finding the x and y Intercepts From an Equation g. Identify x and y Intercepts from a Graph h. Writing Linear Functions from Graphs i. Writing Linear Functions from Words j. Writing Linear Functions from Sets/Tables k. Writing Linear Functions from Sequences l. Find the x-intercepts of a Linear Function m. Find the y-intercepts of a Linear Function n. Finding end behavior of a Linear Function o. Finding maxima and minima of a Linear Function p. Writing Exponential Functions from Graphs q. Writing Exponential Functions from Words r. Writing Exponential Functions from Sets/Tables s. Writing Exponential Functions from Sequences t. Find the x-intercepts of a Exponential Function u. Find the y-intercepts of a Exponential Function v. Finding end behavior of a Exponential Function w. Finding maxima and minima of a Exponential Function x. Exponential Growth y. Finding Maximum and Minimum Values in Graphs z. Finding the Min/Max of a Parabola from a Graph aa. Finding the Axis of Symmetry of a Parabola from a Graph bb. Finding the Vertex of a Parabola from a Graph (Random) NC.M3.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 e. Identifying Arithmetic/Geometry Sequences f. Writing the first n terms of an Arithmetic Sequence g. Finding the n^th term formula for an Arithmetic Sequence h. Finding Arithmetic Means i. Writing the first n terms of a Geometric Sequence j. Finding Geometric Means (Random) NC.M3.F-BF.3-4 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) NC.M3.F-LE.3-4 Construct and compare linear and exponential models and solve problems. a. Expressing Solutions to Quadratic Equations in a Table b. Perimeter and Area Problems c. Identifying the Base d. Logarithmic to Exponential e. Exponential to Logarithmic f. Evaluating Logs (by hand) g. Expanding Expressions (easier) h. Expanding Expressions (harder) i. Contracting Expressions (easier) j. Contracting Expressions (harder) k. Solving Equations with Logs l. Evaluating Logs using the Change of Base Formula m. Finding Inverses (Random) NC.M3.F-TF.1-2 Extend the domain of trigonometric functions using the unit circle. a. Recognize and draw an angle in standard position. b. Finding the Reference Angle c. Converting from Radians to Degrees d. Converting from Degrees to Radians e. Converting from Degrees Minutes and Seconds to Degrees f. Converting from Degrees to Degrees Minutes and Seconds (Random) NC.M3.F-TF.5 Model periodic phenomena with trigonometric functions. a. Basic Facts and Graphs of parent Trigonometric Functions b. Determining Amplitude in Graph and Equation c. Writing Equations of Amplitude and Vertical Stretch Changes d. Sketching Graphs with Amplitude Changes, Vertical Stretches, and Vertical Flips (Random) NC.M3.G-CO.10,11,14 Prove geometric theorems. a. Identifying Angle Bisectors, Perpendicular Bisectors, Medians, Altitudes, and Midsegments b. Finding the Endpoints of the Triangle given the Endpoints of the Midsegments c. Using Midsegments in Triangles d. Identifying Properties of Parallelograms e. Proving Quadrilaterals are Parallelograms (Random) NC.M3.G-C.2,5 Understand and apply theorems about circles. a. Reviewing Circle Vocabulary b. Using Tangent Properties c. Finding Arcs/Angles (Central Angle) d. Finding Arcs/Angles (Inscribed Angles) e. Finding Miscellaneous Angles f. Using Diameters and Chords g. Identifying a Tangent to a Circle (using Pythagorean Theorem) h. Identify points as Inside, Outside, or On a Circle Given the Equation i. Combining Triangles/Quadrilaterals And Circles (Segments) j. Combining Triangles/Quadrilaterals And Circles (Angles) k. Finding Area of a Sector l. Finding Chord Length m. Using the Unit Circle and Arc Length to see Radians. (Random) NC.M3.G-GPE.1 Translate between the geometric description and the equation for a conic section. a. Identifying and Creating Equations of Circles b. Creating Equations of Circles from 2 Key Points (Random) NC.M3.G-GMD.3 Explain volume formulas and use them to solve problems. a. Finding the Volume Problems b. Solving for x Given Volume c. Finding Volume of Pyramids and Cones (with distractors) (Random) NC.M3.G-GMD.4 Visualize relationships between two-dimensional and three-dimensional objects. a. Creating a 2-D Representation of a 3-D Object b. Creating a 3-D Object from 2-D Representations c. Creating a 3-D Object from Nets (Random) NC.M3.G-MG.1 Apply geometric concepts in modeling situations. a. Word Problems (requires Trigonometry) b. Word Problems with Similar Triangles c. Area Word Problems d. Word Problems e. Solving Word Problems f. Surface Area and Volume Word Problems g. Using Scale Drawings h. Using Perspective Drawings i. Using Blueprints (Random) NC.M3.S-IC.1 Understand and evaluate random processes underlying statistical experiments. a. Descriptive vs. Inferential b. Qualitative vs. Quantitative c. Sample vs. Population d. Parameter vs. Statistic e. Statistical Terms Given Situations f. Simulation of Random Behavior and Probability Distributions (Random) NC.M3.S-IC.3-6 Make inferences and justify conclusions from sample surveys, experiments, and observational studies. a. Census b. Sample Survey c. Experiment d. Observational Study
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