Integrated Math III

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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) Normality a. Properties of Normal and Standard Normal Distributions and the Empirical Rule 68-95-99.7 b. Finding the Z-Score c. Using Tables of the Normal Distribution (given z-score) d. Using Tables of the Normal Distribution (given a sample piece of data) e. Using Tables of the Normal Distribution (given probability) f. Comparing Two Normal Curves (with Z-Scores) (Random) Statistics a. Census b. Sample Survey c. Experiment d. Observational Study e. Characteristics of Well-Designed and Well-Conducted surveys f. Populations, Samples, and Random Selection g. Sampling methods, including Simple Random Sampling, Stratified Random Sampling, and Cluster Sampling h. Characteristics of Well-Designed and Well-Conducted Experiments i. Treatments, Control Groups, Experimental Units, Random Assignments, and Replication j. Completely Random Design k. Randomized Block Design, Including Matched Pairs Design l. Simulation of Random Behavior and Probability Distributions (Random) Probability a. Finding the Number of Possible Arrangements of Objects b. Finding Probability of Mutually Exclusive Events c. Finding Probability of Independent Events d. Finding Probability of Dependent Events e. Identifying Permutations and Combinations f. Calculating Permutations (And other cases where order matters) g. Calculating Combinations h. Calculating Rearrangements of Words i. Calculating with Variations in Quantity j. Exploring Probability Relationships In Pascal's Triangle k. Calculating the Probability of Something Not Happening l. Organizing Data into Matrices m. Using Matrices to find Probabilities (Random) Factoring a. Factoring: Pulling out the GCF b. Factoring Trinomials (a=1) (Grid Factoring Video) c. Factoring Trinomials (a>1) (Grid Factoring Video) d. Factoring: Difference of Squares e. Factoring: Perfect Square Trinomials f. Factoring: Sum and Difference of Cubes g. Factoring: Group Factorable h. Factoring: Combination -- Hard Factorable (Random) 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 (Random) Sequences and Series a. Finding the n^th term formula for an Arithmetic Sequence b. Evaluating Summations of Arithmetic Series (Number Arches Video) c. Finding the n^th term formula for a Geometric Sequence d. Evaluating Finite Summations of Geometric Series e. Evaluating Infinite Summations of Geometric Series (Random) Binomial Theorem a. Defining Binomial Coefficients b. Using Pascal's triangle to find the k^th term of (x + y)ⁿ (Binomial Theorem) c. Using Pascal's triangle to expand (x + y)ⁿ (Binomial Expansion) d. Binomial Theorem (Random) Division of Polynomials a. Using the Rational Root Theorem b. Using Synthetic Division c. Using Long Division d. Using Box Division e. Using Descartes's Rule of Signs f. Using Synthetic Division to Find Roots g. Finding Roots of Polynomials with Rational Roots h. Finding Roots of Polynomials with at most 2 Irrational or Imaginary Roots (Random) Radical Expressions 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)	(Random) Properties of Functions a. Finding Values of Functions b. Finding areas of Increasing or Decreasing for Functions c. Describing End Behavior of Polynomials d. Finding X and Y-Intercepts of Functions e. Finding Zeros of a Polynomial f. Graphing a Polynomial g. Finding zeros of a Polynomial from a Graph h. Finding the X-Intercepts of a Polynomial i. Finding a Polynomial equation from Zeros (Random) Trigonometry a. Solving Trigonometric Equations with Restricted Domains b. Solving Trigonometric Equations with Infinite Solutions c. Finding the Number of Solutions in Angle-Side-Side Case d. Using the Law of Sines e. Using the Law of Cosines f. Solving Triangle Word Problems g. Finding Area using Sine h. Using the Unit Circle and Arc Length to see Radians. (Random) More With Functions a. Graphing Parabolas b. Parallel and Perpendicular Lines c. Solving Linear Equations d. Solving Quadratic Equations e. Identifying Functions f. Identifying Domain/Range g. Finding the Composition h. Finding the Inverse i. Identifying Transformations of Functions j. Graphing Functions through Transformations k. Writing Transformed Functions l. Reading Graphs for Word Problems m. Graphing Word Problems (Random) Finding Roots a. Using the Rational Roots Theorem b. Using Descartes's Rule of Signs c. Finding Zeros of Polynomials d. Determining Odd/Even Functions e. Finding Vertical Asymptotes of Rational Functions f. Finding Horizontal Asymptotes of Rational Functions g. Finding Slant Asymptotes of Rational Functions h. Creating Test Intervals of Rational Functions i. Graphing Linear Inequalities (Random) Graphing a. Graphing an Absolute Value Equation (2 variables) b. Reading Absolute Value Graph (2 variables) c. Verifying Solutions of Absolute Value Inequality (2 variables) d. Graphing Absolute Value Inequality (2 variables) e. Graphing Linear Inequalities f. Linear Programming Problems (Graph Supplied) g. Linear Programming Problems h. Quadratic Inequalities i. Polynomial Inequalities j. Polynomial Inequalities (Harder) k. Rational Inequalities l. Rational Inequalities (Harder) m. Graphing in Slope-Intercept Form n. Graphing with Point-Slope Form o. Graphing from Standard Form (Random) Transformations Of Functions a. Identifying Functions from Relations. b. Finding Domain of Relations c. Finding Range of Relations d. Finding Values of Relations e. Finding Values of Functions (composition) f. Identifying the degree of the polynomial g. Identifying the function (exponential / logarithmic / polynomial / absolute value / etc) h. Describing the Transformation of a Basic Function i. Writing the Equation of a Transformed Function j. Finding Domain of Piecewise Functions k. Finding Range of Piecewise Functions l. Evaluating Piecewise Functions m. Graphing Piecewise Functions (Random) Asymptotes a. Determining Odd/Even Functions b. Finding Vertical Asymptotes of Rational Functions c. Finding Horizontal Asymptotes of Rational Functions d. Finding Slant Asymptotes of Rational Functions e. Finding areas of Increasing or Decreasing for Functions (Random) Logarithms and Exponentials a. Identifying the Base b. Logarithmic to Exponential c. Exponential to Logarithmic d. Evaluating Logs (by hand) e. Expanding Expressions (easier) f. Expanding Expressions (harder) g. Contracting Expressions (easier) h. Contracting Expressions (harder) i. Solving Equations with Logs j. Evaluating Logs using the Change of Base Formula k. Finding Inverses (Random) Geometry a. Using Scale Drawings b. Using Perspective Drawings c. Using Blueprints d. Creating a 2-D Representation of a 3-D Object e. Creating a 3-D Object from 2-D Representations f. Creating a 3-D Object from Nets g. Using Scale Factors in Dilations h. Finding the Surface Area i. Finding the Volume Problems j. Solving Word Problems
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