Mathematics Capstone Course

User Name: Password:	Worksheet Title: or fill in:
To keep server load down, there is a maximum of 100 questions per worksheet. Create Answer Sheet (Pop-Up Window) Show how to solve it! (Pop-Up Window) Mix up the problems. (Good for tests) Multiple Choice (Good for Standardized Test practice) Move Instructions into Problems Interactive Online Test (students only! Limited to 20 questions at a time)	Answer Blanks: Percent of problems with fractional coefficients (Only where applicable) Start Numbering with: (Whole Numbers only) Save this EasyFramework (Teacher Plus+ Account Only!) as a Condense - Leave no room for student work
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) 1. Percents and Proportions a. Calculating Percent of Increase/Decrease Word Problems b. Solving Percent of Change Problems c. Creating Rates and Ratios from Word Problems d. Using Rates and Ratios in Proportions e. Solving Scale Model Problems f. Solving Simple Proportion Word Problems g. Solving Complex Proportion Word Problems (Random) 2. Classifying Numbers and Field Properties a. Classifying Numbers (Natural, Whole, Integer, Irrational, Rational, Real) b. Finding Numbers (Natural, Whole, Integer, Irrational, Rational, Real) c. Identifying Field properties (distributive, associative, etc) (Integers) d. Identifying Field properties (Complex Numbers) (Random) 3. Graphing Lines a. Writing the Equation of a Horizontal Or Vertical Line 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. Finding the x and y Intercepts From an Equation g. Graphing with x and y Intercepts h. Identify x and y Intercepts from a Graph (Random) 4. Finding Slope a. Finding Slope of a Linear Equation b. Finding Slope for a Linear Graph c. Finding Slope from 2 Points d. Identifying Positive/Negative Slope e. Finding Slope of a Parallel Line f. Finding the Equation of a Parallel Line g. Finding Slope of a Perpendicular Line h. Finding the Equation of a Perpendicular Line (Random) 5. Writing Linear Equations a. Writing Linear Equations from Graphs b. Writing a Linear Equation from the y-intercept and Slope c. Writing Linear Equations from 2 Points d. Writing Linear Equations from a table e. Writing a Linear Equation from a Point and Slope f. Writing the Equation of a Parallel Line (Random) 6. Scientific Notation a. Using Scientific Notation b. Solving Scientific Notation Word Problems (Random) 7. Absolute Value Equations a. Solving Absolute Value Equations (1 variable) on a Number Line b. Solving Absolute Value Inequalities (1 variable) on a Number Line (Random) 8. Graphing Functions a. Finding Values of Functions b. Identifying the function (exponential / logarithmic / polynomial / absolute value / etc) c. Writing the Equation of a Basic Function from a Graph (Parabola, Line, Absolute Value, etc) d. Writing the Equation of a Basic Function from a Table (Parabola, Line, Absolute Value, etc) e. Graphing Parabolas f. Graphing Exponential Functions g. Graphing Logarithmic Functions h. Reading Graphs for Word Problems i. Graphing Word Problems (Random) 9. Continuity a. Identifying Continuity in Graphs b. Finding Points of Discontinuity (Graphs) c. Finding Points of Discontinuity (Expressions) (Random) 10. Properties of Graphs a. Finding Maximum and Minimum Values in Graphs b. Finding X and Y-Intercepts of Functions c. Reading Graphs for Word Problems d. Finding Domains of Functions e. Finding Ranges of Functions f. Finding Zeros of Functions g. Finding areas of Increasing or Decreasing for Functions h. Describing End Behavior of Polynomials (Random) 11. Transformations a. Describing the Transformation of a Basic Function b. Writing the Equation of a Transformed Function c. Identifying Transformations of Functions d. Graphing Functions through Transformations (Random) 12. Inverses and Compositions a. Finding Inverses of Functions b. Finding Composition of Functions c. Using Composition of Functions to Identify Inverse Functions (Random) 13. Asymptotes a. Finding Vertical Asymptotes of Rational Functions b. Finding Horizontal Asymptotes of Rational Functions c. Finding Slant Asymptotes of Rational Functions d. Finding Asymptotes of Exponential and Logarithmic Functions (Random) 14. 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) 15. 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. Solving Equations with Rational Expressions (Random) 16. Radical Expressions a. Adding Radical Expressions (Numbers Only) b. Subtracting Radical Expressions (Numbers Only) c. Multiplying Radical Expressions (Numbers Only) d. Dividing Radical Expressions (Numbers Only) e. Simplifying Combinations of Radical Expressions (Multiple Operations -- Numbers Only) f. Simplifying Radical Expressions (Includes Variables) (Requires some factoring) g. Adding Radical Expressions (Includes Variables) (Requires some factoring) h. Subtracting Radical Expressions (Includes Variables) (Requires some factoring) i. Multiplying Radical Expressions (Includes Variables) j. Dividing Radical Expressions (Includes Variables & Requires Rationalizing Denominators) k. Converting Radicals to Exponents (Rationals) l. Converting Exponents (Rationals) to Radicals m. Solving Equations with Radical Expressions n. Word Problems of Radical Expressions (Random) 17. Quadratics a. Solving Quadratics with the Quadratic Formula (Real Solutions) b. Solving Quadratics that have Imaginary Solutions c. Solving Quadratics (both imaginary and real solutions) (Random) 18. Zeros, Factors, Solutions, and X-Intercepts a. Finding Zeros of a Polynomial b. Graphing a Polynomial c. Finding zeros of a Polynomial from a Graph d. Finding the X-Intercepts of a Polynomial e. Finding a Polynomial equation from Zeros (Random) 19. Linear Programming a. Graphing Linear Inequalities b. Linear Programming Problems (Graph Supplied) c. Linear Programming Problems (Random) 20. Sequences and Series a. Identifying Arithmetic/Geometry Sequences b. Writing the first n terms of an Arithmetic Sequence c. Defining an Arithmetic Sequence with Recursion d. Finding the n^th term formula for an Arithmetic Sequence e. Finding Arithmetic Means f. Evaluating Summations of Arithmetic Series (Number Arches Video) g. Writing the first n terms of a Geometric Sequence h. Defining a Geometric Sequence with Recursion i. Finding the n^th term formula for a Geometric Sequence j. Finding Geometric Means k. Evaluating Finite Summations of Geometric Series l. Evaluating Infinite Summations of Geometric Series (Random) 21. Complex Numbers a. Fixing Radicals into Imaginary Numbers b. Adding Complex Numbers c. Subtracting Complex Numbers d. Multiplying Complex Numbers e. Dividing Complex Numbers f. Simplifying iⁿ (Random) 22. Conic Sections a. Graphing a Circle b. Graphing an Ellipse c. Graphing a Parabola d. Graphing a Hyperbola e. Identifying the Type of Conic from an Equation or a Picture f. Identifying the Type of Conic using the Discriminant g. Changing Equations to Standard Form (Completing the Square) h. Changing Equations to Standard Form (Another Method) (Random) 23. Best Fit Curves a. Finding the Best Fit Line from a Data Set or a Scatterplot b. Identifying the Best Fit Equation type from a Data Set or a Scatterplot c. Finding the Best Fit Curve from a Data Set d. Identifying the Slope from a Data Set or Scatterplot e. Identifying the Correlation f. Predicting a Value according to a Data Set or Scatterplot	(Random) 24. Normal Distributions 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) 25. Parallel and Perpendicular Lines a. Writing Equations of Parallel Lines b. Writing Equations of Perpendicular Lines c. Identifying Parallel, Perpendicular, and Oblique from Equations (Random) 26. Symmetry and Coordinates a. Using the Distance Formula b. Using the Midpoint Formula c. Using the Formula for Slope d. Identifying Line Symmetry e. Identifying Rotational and Point Symmetry f. Identifying the Transformation (Rotation, Reflection, Translation, or Glide Reflection) g. Reflecting Twice h. Applying Rotations i. Applying Reflections j. Applying Translations (with Vectors) k. Composition of Transformations (Random) 27. Using Transversals a. Naming Angle Pairs when given Two Lines and a Transversal b. Identifying Angle Relationships when given Two Parallel Lines and a Transversal c. Deciding when Lines are Parallel Given Two Lines and a Transversal d. Finding the value of x to prove two Lines are Parallel e. Filling in Reasons for Proofs Involving Transversals f. Proofs Involving Transversals (Random) 28. Similar Triangles a. Using Triangle Similarity Theorems b. Proving Triangles are Similar c. Finding the Scale Factor d. Using Proportions in Similar Triangles e. Word Problems with Similar Triangles f. Filling in Reasons for Proving Triangles are Congruent g. Filling in Reasons when Using CPCTC in Proofs h. Filling in Reasons when Proving Triangles are Similar (Random) 29. Congruent Triangles a. Writing Congruence Statements for Triangles b. Using Triangle Congruence Theorems c. Proving Triangles are Congruent d. Using CPCTC in Proofs e. Proving Congruent with Coordinate Proofs f. Writing Similarity Statements and Statements of Proportion for Triangles (Random) 30. Pythagorean Theorem and Trigonometry a. Using the Pythagorean Theorem b. Using the Pythagorean Theorem Converse (Classifying Triangles) c. Using Right Triangles with Altitudes d. Using Special Right Triangles e. Finding Trigonometric Functions from Triangles f. Solving Ratios with Trigonometric Functions g. Using Trigonometry (Sin, Cos, Tan) to find Side Lengths h. Using Inverse Trigonometric Functions (Sin^-1, Cos^-1, Tan^-1) to find Angles i. Solving Right Triangles j. Finding Area of Right Triangles (Uses Trig!) k. Using sin²(A) + cos²(A) = 1 l. Using sin(A) = cos(90°-A) (Random) 31. Quadrilaterals a. Identifying Properties of Parallelograms b. Finding Angles, Sides, and Diagonals in Parallelograms c. Proving Quadrilaterals are Parallelograms d. Proving Quadrilaterals are Special Parallelograms using Coordinate proofs e. Identifying Properties of Trapezoids and Kites f. Using Midsegments in Trapezoids g. Finding Angles, Sides, and Diagonals in Trapezoids h. Identifying Properties of Special Quadrilaterals i. Finding Area of Special Quadrilaterals (Random) 32. 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. Finding Arc Length h. Finding Area of a Sector i. Finding Chord Length j. Identifying and Creating Equations of Circles k. Word Problems (requires Trigonometry) l. Creating Equations of Circles from 2 Key Points (Random) 33. Constructions a. Identifying Constructions b. Using Constructions (Basic) c. Using Constructions (Complex) (Random) 34. Changing Dimensions a. Using Scale Factors in Dilations b. Finding the Surface Area c. Finding the Volume Problems d. Solving Word Problems e. Using Proportional Reasoning with Similar Objects f. Using Dimension Changes to Find Volume and Surface Area (Random) 35. Displaying Data a. Stem and Leaf Plots b. Dot Plots c. Bar Graphs and Histograms (Random) 36. Analyzing Data a. Center and Spread b. Clusters and Gaps c. Outliers and other Unusual Features d. Shape e. Situational Problems f. Comparing Center and Spread g. Comparing Clusters and Gaps h. Comparing Outliers and other Unusual Features i. Comparing Shapes (Random) 37. Frequency Tables a. Frequency Tables and Bar Charts b. Marginal and Joint Frequencies for two-way Tables c. Conditional Relative Frequencies and Association (and Simpson's Paradox) d. Comparing Distributions Using Bar Charts (Random) 38. Surveys and Experiments a. Characteristics of Well-Designed and Well-Conducted surveys b. Populations, Samples, and Random Selection c. Sources of bias in Sampling and Surveys d. Sampling methods, including Simple Random Sampling, Stratified Random Sampling, and Cluster Sampling e. Characteristics of Well-Designed and Well-Conducted Experiments f. Treatments, Control Groups, Experimental Units, Random Assignments, and Replication g. Sources of Bias and Confounding, including Placebo Effect and Blinding h. Completely Random Design i. Randomized Block Design, Including Matched Pairs Design (Random) 39. Discrete Random Variables a. Interpreting Probability, including Long-Run Relative Frequency Interpretation b. "Law of Large Numbers" concept c. Addition Rule, Multiplication Rule, Conditional Probabilities, and Independence d. Discrete Random Variables and their Probability Distributions (including Binomial and Geometric) e. Simulation of Random Behavior and Probability Distributions f. Mean (Expected Value) and Standard Deviation of a Random Variable and Linear Transformation of a Random Variable (Random) 40. Basic Trigonometric Functions a. Define the six triangular trigonometric functions of an angle in a right triangle. b. Define the six circular trigonometric functions of an angle in standard position. c. Make the connection between the triangular and circular trigonometric functions. d. Recognize and draw an angle in standard position. e. Show how a point on the terminal side of an angle determines a reference triangle. f. Find angles that are coterminal with a given angle. (Random) 41. The Unit Circle a. Finding Trigonometric Functions given coordinates on a Unit Circle b. Finding Trigonometric Functions of Special Angles (Degrees) c. Finding Trigonometric Functions of Special Angles (Radians) d. Converting from Radians to Degrees e. Converting from Degrees to Radians (Random) 42. Trigonometric Identities a. Simplifying Pythagorean Identities b. Verifying Pythagorean Identities c. Simplifying Basic Trigonometric Identities d. Verifying Basic Trigonometric Identities (Random) 43. Graphing 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 e. Determining Period in Graph and Equation f. Writing Equations of Period Changes g. Sketching Graphs with Period Changes h. Determining Phase Shift in Graph and Equation i. Writing Equations of Phase Shift Changes j. Sketching Graphs with Phase Shift Changes k. Determining Vertical Shift in Graph and Equation l. Writing Equations of Vertical Shift Changes m. Sketching Graphs with Vertical Shift Changes n. Sketch the Graph of a Trigonometric Function o. Writing Equations of Trigonometric Functions From Graphs
Permissions - Can you photocopy these worksheets?