North Carolina SCOS Integrated Math 1

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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.M1.N-RN.2 Extend the properties of exponents to rational exponents. a. Identifying the Base, Exponent, and Coefficient in a monomial expression b. Fixing Negative and Zero Exponents c. Multiplying Monomials Law of Exponents (Positive Exponents) d. Multiplying Monomials Law of Exponents e. Dividing Monomials Law of Exponents (Positive Exponents) f. Dividing Monomials Law of Exponents g. Raising Monomials to a Power Law of Exponents (Positive Exponents) h. Raising Monomials to a Power Law of Exponents i. Simplifying Mixed Monomial Expressions j. Simplifying Radical Expressions (Numbers Only) k. Adding Radical Expressions (Numbers Only) l. Subtracting Radical Expressions (Numbers Only) m. Multiplying Radical Expressions (Numbers Only) n. Dividing Radical Expressions (Numbers Only) o. Simplifying Combinations of Radical Expressions (Multiple Operations -- Numbers Only) p. Simplifying Radical Expressions (Includes Variables) (Requires some factoring) q. Adding Radical Expressions (Includes Variables) (Requires some factoring) r. Subtracting Radical Expressions (Includes Variables) (Requires some factoring) s. Multiplying Radical Expressions (Includes Variables) t. Dividing Radical Expressions (Includes Variables & Requires Rationalizing Denominators) (Random) NC.M1.A-SSE.1 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) (Random) NC.M1.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 f. Factoring to Solve Quadratic Equations (Random) NC.M1.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.M1.A-APR.3 Understand the relationship between zeros and factors of polynomials. a. Identifying Zeros of Graphs b. Finding Roots of Factored Functions c. Evaluating the Value of a Function d. Verifying Roots of Functions e. Relating Factors, Zeros and X-Intercepts (Random) NC.M1.A-CED.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 (Random) NC.M1.A-REI.1 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) (Random) NC.M1.A-REI.3-4 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.M1.A-REI.5-6 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 (Random) NC.M1.A-REI.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) NC.M1.F-IF.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 Finding the Roots and Zeros g. Graphically Solving Quadratic Equations h. Defining an Arithmetic Sequence with Recursion i. Defining a Geometric Sequence with Recursion	(Random) NC.M1.F-IF.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 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 (Random) NC.M1.F-IF.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. Writing Linear Functions from Graphs d. Writing Linear Functions from Words e. Writing Linear Functions from Sets/Tables f. Find the x-intercepts of a Linear Function g. Find the y-intercepts of a Linear Function h. Finding maxima and minima of a Linear Function i. Writing Exponential Functions from Graphs j. Writing Exponential Functions from Words k. Writing Exponential Functions from Sets/Tables l. Find the x-intercepts of a Exponential Function m. Find the y-intercepts of a Exponential Function n. Finding maxima and minima of a Exponential Function o. Exponential Growth p. Finding Maximum and Minimum Values in Graphs q. Finding the Min/Max of a Parabola from a Graph r. Finding the Axis of Symmetry of a Parabola from a Graph s. Finding the Vertex of a Parabola from a Graph (Random) NC.M1.F-BF.1-2 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) NC.M1.F-LE.1,3 Construct and compare linear and exponential models and solve problems. a. Linear Word Problems - finding slope b. Linear Word Problems - finding y-intercepts c. Linear Word Problems - finding f(a) d. Linear Word Problems - finding x where f(x) = a e. Direct Variation Word Problems f. Exponential Word Problems - finding y-intercepts g. Exponential Word Problems - finding f(a) h. Exponential Word Problems - finding x where f(x) = a i. Finding end behavior of a Linear Function j. Finding end behavior of a Quadratic Function k. Finding end behavior of a Exponential Function l. Writing Linear Functions from Sequences m. Writing Quadratic Functions from Sequences n. Writing Exponential Functions from Sequences (Random) NC.M1.F-LE.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) NC.M1.G-GPE.4-6 Use coordinates to prove simple geometric theorems algebraically. a. Writing Equations of Parallel Lines b. Writing Equations of Perpendicular Lines c. Identifying Parallel, Perpendicular, and Oblique from Equations d. Identifying Parallel, Perpendicular, and Skew e. Finding Area and Perimeter of Rectangles and Squares (Given Coordinates) f. Finding Area and Perimeter of Triangles (Given Coordinates) g. Finding Area and Circumference of Circles (Given Coordinates) h. Using the Midpoint Formula i. Using the Formula for Slope j. Finding Angles, Sides, and Diagonals in Parallelograms k. More complicated problems with Parallelograms l. Finding Points using Slope m. Using the Distance Formula n. Finding Points using Distance (Random) NC.M1.S-ID.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) NC.M1.S-ID.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 (Random) NC.M1.S-ID.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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