Pre-AP Geometry with Statistics

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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) 1.1.1 The Shape of Data - Summary Statistics a. Measuring Center: Median, Mean b. Measuring Spread: Range, Interquartile Range, Standard Deviation (Random) 1.1.2 The Shape of Data - Graphical Representations a. Using Boxplots b. Predicting with Histograms c. Displaying Data using Histograms d. Reading Histograms (Random) 1.1.3 The Shape of Data - Analyzing Data Distributions - Centers a. Properties of the Sampling Distribution of Sample Means b. Center and Spread c. Measuring Center: Median, Mean d. Comparing Center and Spread (Random) 1.1.4 The Shape of Data - Analyzing Data Distributions - Skewness a. Shape (Random) 1.1.5 The Shape of Data - Analyzing Data Distributions - Variability a. Clusters and Gaps b. Outliers and other Unusual Features (Random) 1.1.6 The Shape of Data - Modeling Normal Distributions a. Properties of Normal and Standard Normal Distributions and the Empirical Rule 68-95-99.7 (Random) 1.2.1 Chance Events - Data Display a. Venn Diagrams b. Reading Venn Diagrams c. Identifying Union, Intersection, Complement, Etc. Venn Diagrams (Random) 1.2.2 Chance Events - Determine Probability a. Finding Sample Space b. Probability Distributions (Random) 1.2.3 Chance Events - Calculate Relative/Joint/Marginal Frequencies or Conditional Probabilities a. Frequency and Relative Frequency Graphs b. Marginal and Joint Frequencies for two-way Tables c. Mutually Exclusive and Basic Probabilities d. Finding Probability of Dependent Events (Random) 1.2.4 Chance Events - Independence a. Notion of Independence vs. Dependence b. Finding Probability of Independent Events (Random) 1.2.5 Chance Events - 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) 1.3.1 Inferences from Data - Accuracy Vs Precision a. Accuracy vs Precision (Random) 1.3.2 Inferences from Data - The Law of Large Numbers a. Law of Large Numbers (Random) 1.3.3 Inferences from Data - Experiment, Observational study, or Survey a. Sample Survey b. Experiment c. Observational Study (Random) 1.3.4 Inferences from Data - Sources of Bias a. Sources of bias in Sampling and Surveys b. Sources of Bias and Confounding, including Placebo Effect and Blinding (Random) 2.1.1 Measurement in Geometry - Lines, Rays, and Line Segments a. Identifying Points, Lines, Line Segments, and Rays b. Drawing Points, Lines, Line Segments, and Rays (Random) 2.1.2 Measurement in Geometry - Angles a. Defining Common Notation (Random) 2.1.3 Measurement in Geometry - Measuring a Line Segment a. Reading Rulers to Measure Lengths (US Standard Units) b. Reading Rulers to Measure Lengths (Metric Units) (Random) 2.1.4 Measurement in Geometry - Measuring an Angle a. Classifying and Drawing Angles (Random) 2.1.5 Measurement in Geometry - Congruence of Line Segments a. Identifying Congruent Segments b. Using the Segment Addition Postulate (Random) 2.1.6 Measurement in Geometry - Congruence of Angles a. Identifying Congruent Angles b. Using the Angle Addition Postulate c. Using the Vertical Angle Theorem (Random) 2.1.7 Measurement in Geometry - Constructions a. Identifying Constructions b. Using Constructions (Basic) (Random) 2.1.8 Measurement in Geometry - Distance between Points a. Using the Distance Formula (Random) 2.1.9 Measurement in Geometry - Problems Involving Segment Length/Angle Measure a. Using the Segment Addition Postulate b. Using the Angle Addition Postulate c. Identifying Complementary, Supplementary, and Congruent Angles d. Using Complementary, Supplementary, and Congruent Angles (Random) 2.1.10 Measurement in Geometry - Problems Involving Segment Bisector/Angle Bisector a. Using Angle Bisectors b. Using the Midpoint Formula c. Using the Definition of Bisect (Random) 2.2.1 Parallel and Perpendicular Lines - Slopes a. Finding Slope of a Parallel Line b. Finding Slope of a Perpendicular Line (Random) 2.2.2 Parallel and Perpendicular Lines - Two Lines Intersected by a Transversal a. Naming Angle Pairs when given Two Lines and a Transversal (does not include same side exterior) b. Naming Angle Pairs when given Two Lines and a Transversal (includes same side exterior) c. Identifying Angle Relationships when given Two Parallel Lines and a Transversal d. Deciding when Lines are Parallel Given Two Lines and a Transversal e. Finding the value of x to prove two Lines are Parallel f. Filling in Reasons for Proofs Involving Transversals g. Proofs Involving Transversals (Random) 2.2.3 Parallel and Perpendicular Lines - Construct Parallel Lines a. Identifying Constructions b. Using Constructions (Basic) (Random) 2.2.4 Parallel and Perpendicular Lines - Triangle Sum Theorem a. Using the Triangle Sum Theorem to Find Angle Measures (Random) 2.2.5 Parallel and Perpendicular Lines - Perpendicular Lines a. Finding the Equation of a Perpendicular Line (Random) 2.2.6 Parallel and Perpendicular Lines - Construct Perpendicular Lines a. Constructing Perpendicular Bisector of a Line Segment b. Using Perpendicular Bisectors	(Random) 2.2.7 Parallel and Perpendicular Lines - Perpendicular Lines in the Coordinate Plane a. Parallel and Perpendicular Lines b. Identifying Parallel, Perpendicular, and Oblique from Equations c. Identifying Intersect, Parallel, and Perpendicular d. Writing the Equation of a Horizontal Or Vertical Line (Random) 2.3.1 Measurement in Right Triangles - Similarity a. Writing Similarity Statements and Statements of Proportion for Triangles (Random) 2.3.2 Measurement in Right Triangles - Determine the Point on a Line Segment a. Determine the Coordinates of a Point on a Line Segment given a Ratio (Random) 2.3.3 Measurement in Right Triangles - Altitude of a Right Triangle a. Using Right Triangles with Altitudes (Random) 2.3.4 Measurement in Right Triangles - Sine, Cosine and Tangent a. Finding Trigonometric Functions from Triangles (Random) 2.3.5 Measurement in Right Triangles - Using Trigonometry to find Sides a. Using Trigonometry (Sin, Cos, Tan) to find Side Lengths (Random) 2.3.6 Measurement in Right Triangles - Using Trigonometry to find Angles a. Using Inverse Trigonometric Functions (Sin^-1, Cos^-1, Tan^-1) to find Angles (Random) 2.3.7 Measurement in Right Triangles - Word Problems a. Angle Of Elevation/Depression Word Problems (Random) 3.1.1 Transformations of Points in a Plane - Transformations a. Using Key Terms Related to Transformations (Random) 3.1.2 Transformations of Points in a Plane - Express Transformations using Function Notation a. Using Transformations written in Function Notation (Random) 3.1.3 Transformations of Points in a Plane - Rigid Transformations a. Identifying the Transformation (Rotation, Reflection, Translation, or Glide Reflection) (Random) 3.1.4 Transformations of Points in a Plane - Composition of Tranformations a. Composition of Transformations (Random) 3.1.5 Transformations of Points in a Plane - Dilations a. Using Scale Factors in Dilations (Random) 3.1.6 Transformations of Points in a Plane - Dilations in the Coordinate Plane a. Using Scale Drawings b. Finding the Scale Factor c. Dilating Geometric Figures on a Coordinate system (Random) 3.2.1 Congruent and Similar Polygons - Congruent Triangles a. Writing Congruence Statements for Triangles (Random) 3.2.2 Congruent and Similar Polygons - Prove Triangles are Congruent a. Using Triangle Congruence Theorems b. Filling in Reasons for Proving Triangles are Congruent c. Proving Triangles are Congruent (Random) 3.2.3 Congruent and Similar Polygons - Prove Triangles are Similar a. Using Triangle Similarity Theorems b. Filling in Reasons when Proving Triangles are Similar c. Proving Triangles are Similar (Random) 3.2.4 Congruent and Similar Polygons - Prove Facts about Parallelograms 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 (Random) 3.3.1 Measurement of Lengths and Angles in Circles - Definition of a Circle a. Reviewing Circle Vocabulary b. Identifying and Creating Equations of Circles c. Identify points as Inside, Outside, or On a Circle Given the Equation (Random) 3.3.2 Measurement of Lengths and Angles in Circles - Equation of a Circle a. Creating Equations of Circles from 2 Key Points b. Finding the Equation of a Circle Given 3 Points (Random) 3.3.3 Measurement of Lengths and Angles in Circles - Similar Circles a. Finding Area of Circles b. Finding Circumference of Circles (Random) 3.3.4 Measurement of Lengths and Angles in Circles - Central Angle/Arc a. Finding Arcs/Angles (Central Angle) (Random) 3.3.5 Measurement of Lengths and Angles in Circles - Inscribed Angle/Arc a. Finding Arcs/Angles (Inscribed Angles) (Random) 3.3.6 Measurement of Lengths and Angles in Circles - Arc Length a. Finding Arc Length (Random) 3.3.7 Measurement of Lengths and Angles in Circles - Tangents to a Circle a. Identifying a Tangent to a Circle (using Pythagorean Theorem) b. Finding the Equation of a Tangent Line to a Circle (Random) 3.3.7 Measurement of Lengths and Angles in Circles - 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) 4.1.1 Area as a 2-Dimensional Measurement - Cavalieri's principle a. Cavalieri's Principle in 2D (Random) 4.1.2 Area as a 2-Dimensional Measurement - Area of a Secotr a. Finding Area of a Sector (Random) 4.1.3 Area as a 2-Dimensional Measurement - The Effect of Similarity a. Finding Surface Area of Stacked Cubes b. Finding Area of Similar Figures (Random) 4.2.1 Volume as a 3-Dimensional Measurement - Right Prism a. Finding Volumes of Rectangular Prisms b. Finding Volumes of Prisms (Random) 4.2.2 Volume as a 3-Dimensional Measurement - Pyramids a. Finding Volumes of Pyramids b. Comparing Volumes of Rectangular Prisms and Pyramids c. Comparing Volumes of Triangular Prisms and Pyramids (Random) 4.2.3 Volume as a 3-Dimensional Measurement - Cylinders a. Finding Volumes of Cylinders (Random) 4.2.4 Volume as a 3-Dimensional Measurement - Cones a. Finding Volumes of Cones b. Comparing Volumes of Cylinders and Cones c. Finding Volume of Pyramids and Cones (with distractors) (Random) 4.2.5 Volume as a 3-Dimensional Measurement - Cavalieri's Principle a. (Random) 4.2.6 Volume as a 3-Dimensional Measurement - Word Problems a. Word Problems about Volume (Random) 4.3.1 Measurements of Spheres - Defining Spheres a. Inside, Outside, or On a Sphere (elementary) (Random) 4.3.2 Measurements of Spheres - Surface Area a. Finding Surface Area of a Sphere (Random) 4.3.3 Measurements of Spheres - Volume a. Finding Volumes of a Sphere (Random) 4.3.4 Measurements of Spheres - Word Problems on Spheres a. Word Problems (Spheres)
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