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SAT Math Fundamentals

Our SAT Math Fundamentals course provides students with the core content knowledge required in the math section of the SAT exam. Filling in missing gaps is the first and most important step towards preparing for the exam as lacking any of these skills will be exposed and reflected in the student's score.

However, to achieve the best possible outcome, students must also dedicate time to a structured and intentional test preparation process, which we describe in this article on how to prepare for a standardized math test.

Overview

Outcomes

Content

This course covers the core skills outlined in the SAT Math curriculum.

Students begin by taking a diagnostic assessment, which will identify their current knowledge frontier and any weaknesses in their foundational knowledge.

Once the student has completed the diagnostic assessment, our sophisticated algorithms will create a custom course that addresses any foundational weaknesses along with a plan for building on their existing strengths to attain the highest possible score.

Comparing SAT Math Fundamentals to the Traditional High-School Sequence

The following data gives the composition of the SAT Math Fundamentals course against the traditional math sequence.

For example, 39% of the topics in the SAT Math Fundamentals course are from Prealgebra.

The data below describes the proportion of each high school course whose topics feature in SAT Math Fundamentals.

For example, a student who's completed SAT Math Fundamentals will have completed at least 90% of Prealgebra.

Comparing SAT Math Fundamentals to the Integrated Math Sequence

The following data gives the composition of the SAT Math Fundamentals course against the integrated sequence.

For example, 37% of the topics in the SAT Math Fundamentals course are from Integrated Math I.

The data below describes the proportion of each high school course whose topics feature in SAT Math Fundamentals.

For example, a student who's completed the SAT Math Fundamentals course will have completed at least 81% of Integrated Math I.

Upon successful completion of this course, students will have mastered the following:

Preliminaries

Algebra - Linear Equations in One Variable

Algebra - Linear Equations in Two Variables

Algebra - Linear Inequalities

Geometry - Points, Lines, & Angles

Geometry - Polygons & Solids

Geometry - Congruence & Similarity

Geometry - Length, Area & Volume

Geometry - Circles

Trigonometry

Advanced Algebra - Functions

Advanced Algebra - Absolute Value

Advanced Algebra - Polynomials

Advanced Algebra - Exponential Equations & Functions

Advanced Algebra - Rational and Radical Equations

Problem-Solving: Ratios & Percentages

Data Analysis - Statistics & Probability

1.
Preliminaries
61 topics
1.1. Addition and Subtraction of Rational Numbers
1.1.1. Subtracting a Positive Number From a Smaller Positive Number
1.1.2. Subtracting a Positive Number From a Negative Number
1.1.3. Subtracting a Positive Fraction From a Smaller Fraction
1.1.4. Subtracting a Positive Decimal From a Smaller Decimal
1.1.5. Adding a Positive Number to a Negative Number
1.1.6. Adding a Negative Number
1.1.7. Subtracting a Negative Number
1.1.8. Additive Inverses of Numbers
1.1.9. Solving Problems Using Addition and Subtraction of Rational Numbers
1.2. Multiplication and Division of Rational Numbers
1.2.1. Multiplying Positive Numbers With Negative Numbers
1.2.2. Multiplying Negative Numbers
1.2.3. Dividing With Negative Numbers
1.2.4. Equivalent Fractions With Negative Numbers
1.2.5. Dividing With Negative Decimals and Fractions
1.2.6. Reciprocals of Rational Numbers
1.2.7. Multiplying and Dividing With Zero
1.2.8. Fractions of Fractions
1.2.9. Solving Problems Using the Four Operations on Rational Numbers
1.3. Exponents
1.3.1. Squaring Rational Numbers
1.3.2. Cubing Rational Numbers
1.3.3. Exponents With Rational Bases
1.3.4. The Zeroth Power
1.3.5. Powers of Negative One
1.3.6. Negative Exponents
1.3.7. The Product Rule for Exponents
1.3.8. The Quotient Rule for Exponents
1.3.9. The Power Rule for Exponents
1.3.10. The Power of Product Rule for Exponents
1.3.11. The Power of Quotient Rule for Exponents
1.3.12. Combining the Rules of Exponents
1.4. Radicals
1.4.1. The Square Root of a Perfect Square
1.4.2. Squaring a Square Root
1.4.3. The Cube Root of a Perfect Cube
1.4.4. Surds
1.4.5. Simplifying Expressions With Surds
1.4.6. Evaluating Numerical Expressions Containing Radicals
1.4.7. Adding and Subtracting Radicals
1.4.8. Rationalizing Denominators
1.4.9. Radicals as Fractional Exponents
1.4.10. The Product Rule for Radicals
1.4.11. The Quotient Rule for Radicals
1.5. Order of Operations
1.5.1. Evaluating Rational Number Expressions Without Exponents
1.5.2. Evaluating Expressions With Positive Integer Exponents
1.5.3. Evaluating Expressions With Integer Exponents
1.6. Algebraic Expressions
1.6.1. Introduction to Algebraic Expressions
1.6.2. Constructing Algebraic Expressions
1.6.3. Evaluating Linear Expressions
1.6.4. Evaluating Rational Expressions
1.6.5. Identifying Terms in Linear Expressions
1.6.6. Identifying Coefficients and Constants in Linear Expressions
1.6.7. The Greatest Common Factor of Two Linear Expressions
1.7. Simplifying Linear Expressions
1.7.1. Identifying Like Terms in a Linear Expression
1.7.2. Collecting Like Terms in a Linear Expression
1.7.3. Applying the Distributive Law With Linear Expressions
1.7.4. The Distributive Law With Three Terms
1.7.5. Distributing the Negative Sign in a Linear Expression
1.7.6. Simplifying Linear Expressions Using the Distributive Law
1.7.7. Simplifying Linear Expressions When a Group of Terms Is Subtracted
1.7.8. Simplifying Linear Expressions Containing Fractions
1.7.9. Factoring Numerical Expressions
1.7.10. Factoring Linear Expressions
2.
Algebra - Linear Equations in One Variable
20 topics
2.8. Solving Linear Equations
2.8.1. Solving Linear Equations by Trial and Error
2.8.2. Solving One-Step Addition and Subtraction Equations
2.8.3. Solving One-Step Multiplication and Division Equations
2.8.4. Solving Two-Step Equations
2.8.5. Solving Linear Equations With Fractional Coefficients
2.8.6. Solving Linear Equations With Decimal Coefficients
2.8.7. Solving Linear Equations With Variables on Both Sides
2.8.8. Solving Linear Equations by Clearing a Rational Expression
2.8.9. Solving Linear Equations Using Cross-Multiplication
2.8.10. Solving Two-Variable Equations
2.8.11. Equations With Many Solutions and No Solutions
2.8.12. Solving Linear Equations With Unknown Coefficients
2.8.13. Solving Linear Equations With Unknown Coefficients by Factoring
2.8.14. Solving Linear Inequalities With Unknown Parameters
2.8.15. Solving Many-Variable Equations
2.9. Modeling With Linear Equations
2.9.1. Interpreting Linear Expressions
2.9.2. Modeling With Linear Equations
2.9.3. Consecutive Integer Problems
2.9.4. Speed, Distance, Time Problems
2.9.5. Further Speed, Distance, Time Problems
3.
Algebra - Linear Equations in Two Variables
33 topics
3.10. Graphs of Linear Equations
3.10.1. The Cartesian Coordinate System
3.10.2. Distances Between Points in the Coordinate Plane
3.10.3. Two-Variable Linear Equations and Their Solutions
3.10.4. Graphing Linear Equations
3.10.5. Horizontal and Vertical Lines
3.10.6. Calculating Slopes of Straight Lines
3.10.7. Equations of Lines in Slope-Intercept Form
3.10.8. Finding Properties of Lines Given in Slope-Intercept Form
3.10.9. Equations of Lines in Point-Slope Form
3.10.10. Equations of Lines in Standard Form
3.10.11. Determining Properties of Lines Given in Standard Form
3.10.12. Parallel Lines in the Coordinate Plane
3.10.13. Finding the Equation of a Parallel Line
3.10.14. Perpendicular Lines in the Coordinate Plane
3.10.15. Finding Equations of Perpendicular Lines
3.11. Modeling With Two-Variable Linear Equations
3.11.1. Modeling With Linear Equations in Two Variables
3.11.2. Further Modeling With Linear Equations in Two Variables
3.11.3. Analyzing and Interpreting Graphs of Linear Equations
3.11.4. Distance-Time Graphs
3.11.5. Calculating Acceleration From a Speed-Time Graph
3.11.6. Calculating Distance From a Speed-Time Graph
3.12. Systems of Equations
3.12.1. Introduction to Systems of Linear Equations
3.12.2. Solving Systems of Equations by Substitution
3.12.3. Introduction to the Elimination Method
3.12.4. Solving Systems of Linear Equations Using Elimination: One Transformation
3.12.5. Solving Systems of Linear Equations Using Elimination: Two Transformations
3.12.6. Systems of Linear Equations With Fractional Coefficients
3.12.7. Systems of Linear Equations With Decimal Coefficients
3.12.8. Systems of Equations With No Solutions and Infinitely Many Solutions
3.12.9. Calculating the Intersection of Two Lines
3.12.10. Modeling Number Problems Using Systems of Linear Equations
3.12.11. Modeling Coin Problems Using Systems of Linear Equations
3.12.12. Solving Systems of Nonlinear Equations Using Graphs
4.
Algebra - Linear Inequalities
20 topics
4.13. Linear Inequalities
4.13.1. Inequalities
4.13.2. Compound Inequalities
4.13.3. Verifying Solutions of Linear Inequalities
4.13.4. Solving One-Step Linear Inequalities
4.13.5. Solving Two-Step Inequalities
4.13.6. Representing Solutions to Inequalities on Number Lines
4.13.7. Further Solving Linear Inequalities
4.13.8. Solving Compound Inequalities
4.13.9. Interval Notation
4.13.10. Unbounded Intervals
4.13.11. Unions of Intervals
4.13.12. Intersections of Intervals
4.13.13. Introduction to Modeling With Inequalities
4.13.14. Modeling With One-Step Inequalities
4.13.15. Modeling With Two-Step Inequalities
4.14. Two-Variable Linear Inequalities
4.14.1. Graphing Strict Two-Variable Linear Inequalities
4.14.2. Graphing Non-Strict Two-Variable Linear Inequalities
4.14.3. Further Graphing of Two-Variable Linear Inequalities
4.14.4. Solving Systems of Linear Inequalities
4.14.5. Modeling With Two-Variable Linear Inequalities
5.
Geometry - Points, Lines, & Angles
25 topics
5.15. Introduction to Geometry
5.15.1. Units of Area and Volume
5.15.2. Points, Lines, Rays, and Segments
5.15.3. Parallel and Perpendicular Lines
5.15.4. Measures of Segments
5.15.5. Congruent Segments
5.15.6. Midpoints
5.15.7. Collinear Points
5.15.8. The Segment Addition Postulate
5.16. Angles
5.16.1. Angles and Measures of Angles
5.16.2. Connecting Angles and Circles
5.16.3. Measuring Angles Using a Protractor
5.16.4. Sums of Angles
5.16.5. Right, Straight, Full, and Null Angles
5.16.6. Acute, Obtuse, and Reflex Angles
5.16.7. Congruent Angles
5.16.8. Vertical Angles
5.16.9. Solving Problems With Angles
5.17. Advanced Angles
5.17.1. Complementary Angles
5.17.2. Supplementary Angles
5.17.3. Corresponding Angles
5.17.4. Alternate Angles
5.17.5. Consecutive Angles
5.17.6. Angle Criteria for Parallel Lines
5.17.7. Angle Bisectors
5.17.8. Segment Bisectors
6.
Geometry - Polygons & Solids
16 topics
6.18. Triangles
6.18.1. Interior Angles of Triangles
6.18.2. Exterior Angles of Triangles
6.18.3. Problem Solving With Angles of Triangles
6.18.4. Classifying Triangles
6.18.5. The Isosceles Triangle Theorem
6.18.6. Heights of Triangles
6.19. Polygons
6.19.1. Polygons
6.19.2. Interior Angles of Polygons
6.19.3. Exterior Angles of Polygons
6.19.4. Congruent Polygons
6.19.5. Regular Polygons
6.19.6. Properties of Rectangles and Squares
6.20. Solid Geometry
6.20.1. Identifying Three-Dimensional Shapes
6.20.2. Faces, Vertices, and Edges of Polyhedrons
6.20.3. Nets of Polyhedrons
6.20.4. Finding Surface Areas Using Nets
7.
Geometry - Congruence & Similarity
13 topics
7.21. Congruence
7.21.1. The ASA Congruence Criterion
7.21.2. The AAS Congruence Criterion
7.21.3. The SAS Congruence Criterion
7.21.4. The SSS Congruence Criterion
7.21.5. The HL Congruence Criterion
7.22. Similarity
7.22.1. Similarity and Similar Polygons
7.22.2. Side Lengths and Angle Measures of Similar Polygons
7.22.3. Areas of Similar Polygons
7.22.4. The AA Similarity Criterion
7.22.5. The SSS Similarity Criterion
7.22.6. The SAS Similarity Criterion
7.22.7. The Midpoint Theorem
7.22.8. The Triangle Proportionality Theorem
8.
Geometry - Length, Area & Volume
19 topics
8.23. Perimeter & Area of Plane Figures
8.23.1. The Perimeter of a Polygon
8.23.2. Areas of Rectangles and Squares
8.23.3. Areas of Parallelograms
8.23.4. Areas of Triangles
8.23.5. Areas of Trapezoids
8.23.6. Areas and Perimeters of Composite Shapes
8.23.7. The Area Between Two Shapes
8.24. Coordinate Geometry
8.24.1. Midpoints in the Coordinate Plane
8.24.2. The Distance Formula
8.24.3. Calculating Perimeters in the Plane
8.24.4. Calculating Areas of Rectangles in the Plane
8.25. Surface Area and Volume
8.25.1. Surface Areas of Cubes
8.25.2. Surface Areas of Rectangular Solids
8.25.3. Volumes of Rectangular Solids
8.25.4. Volumes of Cylinders
8.25.5. Volumes of Spheres
8.25.6. Slant Heights of Right Cones
8.25.7. Volumes of Right Cones
8.25.8. Volumes of Pyramids
9.
Geometry - Circles
19 topics
9.26. Circles
9.26.1. Circles
9.26.2. Arcs, Segments, and Sectors of Circles
9.26.3. The Circumference of a Circle
9.26.4. Areas of Circles
9.26.5. Central Angles and Arcs
9.26.6. Calculating Arc Lengths of Circular Sectors
9.26.7. Calculating Areas of Circular Sectors
9.26.8. Further Calculating Areas of Sectors
9.26.9. Problem Solving With Circles
9.26.10. Tangent Lines to Circles
9.27. Circles in the Coordinate Plane
9.27.1. Circles in the Coordinate Plane
9.27.2. Equations of Circles Centered at the Origin
9.27.3. Equations of Circles
9.27.4. Determining Properties of Circles by Completing the Square
9.27.5. Calculating Circle Intercepts
9.27.6. Intersections of Circles with Lines
9.28. Radians
9.28.1. Introduction to Radians
9.28.2. Calculating Arc Length Using Radians
9.28.3. Calculating Areas of Sectors Using Radians
10.
Trigonometry
19 topics
10.29. Right Triangles
10.29.1. The Pythagorean Theorem
10.29.2. The 45-45-90 Triangle
10.29.3. The 30-60-90 Triangle
10.29.4. The Area of a 45-45-90 Triangle
10.29.5. The Area of a 30-60-90 Triangle
10.29.6. The Area of an Equilateral Triangle
10.29.7. Diagonals of Squares
10.30. Trigonometry
10.30.1. Angles and Sides in Right Triangles
10.30.2. The Trigonometric Ratios
10.30.3. Calculating Trigonometric Ratios Using the Pythagorean Theorem
10.30.4. Calculating Side Lengths of Right Triangles Using Trigonometry
10.30.5. Calculating Angles in Right Triangles Using Trigonometry
10.30.6. Modeling With Trigonometry
10.30.7. The Reciprocal Trigonometric Ratios
10.30.8. Trigonometric Ratios in Similar Right Triangles
10.30.9. Trigonometric Functions of Complementary Angles
10.30.10. Special Trigonometric Ratios
10.30.11. Calculating the Area of a Right Triangle Using Trigonometry
10.30.12. Solving Multiple Right Triangles Using Trigonometry
11.
Advanced Algebra - Functions
18 topics
11.31. Functions
11.31.1. Introduction to Functions
11.31.2. Visual Representations of Functions
11.31.3. Graphs of Functions
11.31.4. The Domain of a Function
11.31.5. The Vertical Line Test
11.31.6. Global Extrema of Functions
11.31.7. Local Extrema of Functions
11.31.8. End Behavior of Functions
11.31.9. The Range of a Function
11.31.10. The Range of a Function: Advanced Cases
11.31.11. The Roots of a Function
11.31.12. Increasing and Decreasing Functions
11.31.13. Piecewise Functions
11.31.14. Modeling With Linear Functions
11.31.15. The Arithmetic of Functions
11.31.16. Function Composition
11.31.17. Describing Function Composition
11.31.18. Introduction to Inverse Functions
12.
Advanced Algebra - Absolute Value
10 topics
12.32. Absolute Value Expressions and Equations
12.32.1. Absolute Value Expressions
12.32.2. Rules of Absolute Value
12.32.3. Further Rules of Absolute Value
12.32.4. Absolute Value Equations
12.32.5. Further Absolute Value Equations
12.33. Absolute Value Functions
12.33.1. Absolute Value Graphs
12.33.2. Vertical Reflections of Absolute Value Graphs
12.33.3. Stretches of Absolute Value Graphs
12.33.4. Combining Transformations of Absolute Value Graphs
12.33.5. Roots of Absolute Value Functions
13.
Advanced Algebra - Polynomials
57 topics
13.34. Polynomials
13.34.1. Introduction to Polynomials
13.34.2. The Degree of a Polynomial
13.34.3. Simplifying Polynomials
13.34.4. The Distributive Law for Polynomials
13.34.5. Adding and Subtracting Polynomials
13.34.6. Monomials, Binomials and Trinomials
13.34.7. Multiplying Binomials
13.34.8. Multiplying Polynomials
13.34.9. Squaring Binomials
13.34.10. The Difference of Squares Formula
13.35. Factoring Polynomials
13.35.1. The Greatest Common Factor of Two Monomials
13.35.2. Factoring Simple Polynomials Using Greatest Common Factors
13.35.3. Factoring Perfect Square Trinomials
13.35.4. Factoring Perfect Square Trinomials With Leading Coefficients
13.35.5. Factoring Differences of Squares
13.35.6. Factoring Trinomials
13.35.7. Factoring Trinomials Using Common Factors
13.35.8. Factoring Trinomials With Leading Coefficients
13.35.9. Further Factoring Trinomials With Leading Coefficients
13.36. Quadratic Equations
13.36.1. Introduction to Quadratic Equations
13.36.2. Solving Equations Using the Square Root Method
13.36.3. Solving Equations With Odd Exponents Using the Nth Root Method
13.36.4. Solving Equations With Even Exponents Using the Nth Root Method
13.36.5. Solving Perfect Square Quadratic Equations
13.36.6. Perfect Square Quadratic Equations with One or No Solutions
13.36.7. The Zero Product Rule for Solving Quadratic Equations
13.36.8. Solving Quadratic Equations Using a Difference of Squares
13.36.9. Solving Quadratic Equations with No Constant Term
13.36.10. Solving Quadratic Equations by Factoring
13.36.11. Solving Quadratic Equations with Leading Coefficients by Factoring
13.36.12. Completing the Square
13.36.13. Completing the Square With Odd Linear Terms
13.36.14. Completing the Square With Leading Coefficients
13.36.15. Solving Quadratic Equations by Completing the Square
13.36.16. Solving Quadratic Equations With Leading Coefficients by Completing the Square
13.36.17. The Quadratic Formula
13.36.18. The Discriminant of a Quadratic Equation
13.37. Quadratic Functions
13.37.1. Graphing Elementary Quadratic Functions
13.37.2. Vertical Reflections of Quadratic Functions
13.37.3. Graphs of General Quadratic Functions
13.37.4. Roots of Quadratic Functions
13.37.5. The Discriminant of a Quadratic Function
13.37.6. The Axis of Symmetry of a Parabola
13.37.7. The Average of the Roots Formula
13.37.8. The Vertex Form of a Parabola
13.37.9. Writing the Equation of a Parabola in Vertex Form
13.37.10. Finding Intersections of Lines and Quadratic Functions
13.38. Modeling With Quadratic Functions
13.38.1. Modeling Downwards Vertical Motion
13.38.2. Modeling Upwards Vertical Motion
13.38.3. Vertical Motion
13.38.4. Revenue, Cost, and Profit Functions
13.39. Polynomial Expressions & Equations
13.39.1. Factoring Polynomials Using the GCF
13.39.2. Factoring Higher-Order Polynomials as a Difference of Squares
13.39.3. Factoring Cubic Expressions by Grouping
13.39.4. Determining the Roots of Polynomials
13.39.5. Solving Polynomial Equations Using the GCF
13.39.6. Solving Cubic Equations by Grouping
14.
Advanced Algebra - Exponential Equations & Functions
25 topics
14.40. Exponential Expressions & Equations
14.40.1. Writing Radical Expressions Using Fractional Exponents
14.40.2. The Product Rule for Exponents With Algebraic Expressions
14.40.3. The Quotient Rule for Exponents With Algebraic Expressions
14.40.4. The Power Rule for Exponents With Algebraic Expressions
14.40.5. The Power of Product Rule With Algebraic Expressions
14.40.6. The Power of Quotient Rule With Algebraic Expressions
14.40.7. Combining the Rules of Exponents With Algebraic Expressions
14.40.8. Solving Exponential Equations
14.40.9. Solving Exponential Equations with Fractional Solutions
14.40.10. Creating Exponential Growth Expressions
14.40.11. Creating Exponential Decay Expressions
14.41. Exponential Functions
14.41.1. Exponential Functions
14.41.2. Modeling Exponential Growth With Functions
14.41.3. Interpreting Exponential Growth
14.41.4. Solving Exponential Growth Problems
14.41.5. Modeling Exponential Decay With Functions
14.41.6. Interpreting Exponential Decay
14.41.7. Solving Exponential Decay Problems
14.41.8. Linear vs. Exponential Growth and Decay
14.41.9. Linear vs. Exponential Growth and Decay Models
14.42. Graphs of Exponential Functions
14.42.1. Graphing Exponential Growth Functions
14.42.2. Graphing Exponential Decay Functions
14.42.3. Vertical Translations of Exponential Growth Functions
14.42.4. Vertical Translations of Exponential Decay Functions
14.42.5. Interpreting Graphs of Exponential Functions
15.
Advanced Algebra - Rational and Radical Equations
22 topics
15.43. Rational Expressions
15.43.1. Equivalent Expressions With Fractions
15.43.2. Simplifying Rational Expressions
15.43.3. Simplifying Rational Expressions by Factoring
15.43.4. Simplifying Rational Expressions Using Polynomial Factorization
15.43.5. Splitting Rational Expressions Into Separate Terms
15.43.6. Adding and Subtracting Rational Expressions
15.43.7. Adding Rational Expressions With No Common Factors in the Denominator
15.43.8. Multiplying Rational Expressions
15.43.9. Dividing Rational Expressions
15.44. Rational Equations
15.44.1. Solving Rational Equations Containing One Fractional Term
15.44.2. Solving Rational Equations Using Cross-Multiplication
15.44.3. Solving Rational Equations Containing Binomials Using Cross-Multiplication
15.44.4. Solving Rational Equations Using the Flip Method
15.45. Radical Expressions
15.45.1. The Square Root of a Perfect Square With Algebraic Expressions
15.45.2. The Square Root of a Perfect Square With Domain Restrictions
15.45.3. The Cube Root of a Perfect Cube With Algebraic Expressions
15.45.4. Simplifying Square Root Expressions Using the Product Rule
15.45.5. Combining Radical Expressions Using the Product Rule
15.45.6. Simplifying Square Root Expressions Using the Quotient Rule
15.45.7. Evaluating Algebraic Radical Expressions
15.45.8. Adding and Subtracting Radical Expressions
15.45.9. Solving Radical Equations
16.
Problem Solving - Ratios & Percentages
35 topics
16.46. Ratios
16.46.1. Introduction to Ratios
16.46.2. Equivalent Ratios
16.46.3. Writing Ratios Using Fractions
16.46.4. Working With Equivalent Ratios
16.46.5. More on Equivalent Ratios
16.46.6. Ratio Tables
16.46.7. Graphing Ratios
16.47. Unit Rates
16.47.1. Unit Rates
16.47.2. Solving Problems Using Unit Rates
16.47.3. Speed as a Unit Rate
16.47.4. Calculating Unit Rates Associated With Ratios of Fractions
16.47.5. Solving Unit Rate Problems Using Ratios of Fractions
16.48. Proportional Relationships
16.48.1. Understanding Proportional Relationships Using Tables
16.48.2. Understanding Proportional Relationships Using Graphs
16.48.3. Understanding Proportional Relationships From Descriptions
16.48.4. Modeling with Direct Variation
16.49. Percentages
16.49.1. Understanding Percentages Using Models
16.49.2. Converting Between Percentages and Fractions
16.49.3. Converting Between Percentages and Decimals
16.49.4. Finding Part of a Number Given a Whole and a Percentage
16.49.5. Finding Part of a Number Given a Whole and a Percentage: Word Problems
16.49.6. Finding a Percentage Given Two Numbers
16.49.7. Finding a Percentage Given Two Numbers: Word Problems
16.49.8. Finding a Total Given a Part and a Percentage
16.49.9. Percentage Increase, Decrease, and Error
16.50. Units
16.50.1. Unit Conversions Using Base Units of Mass
16.50.2. Two-Step Unit Conversions
16.50.3. Unit Conversions Using Base Units of Length
16.50.4. Unit Conversions Using Units of Time
16.50.5. Converting Units of Area to Smaller Units
16.50.6. Converting Units of Area to Larger Units
16.50.7. Determining Units in Formulas
16.50.8. Selecting Units for Rates of Change
16.50.9. Converting Between Mixed Units
16.50.10. Degrees of Accuracy
17.
Data Analysis - Statistics & Probability
42 topics
17.51. Summarizing Data
17.51.1. Introduction to Statistics
17.51.2. The Mean of a Data Set
17.51.3. The Median of a Data Set
17.51.4. The Mode of a Data Set
17.51.5. Range, Quartiles and Interquartile Range
17.51.6. Mean Absolute Deviation
17.51.7. Comparing Data Sets Using Measures of Centrality
17.51.8. Comparing Data Sets Using Measures of Spread
17.51.9. Outliers
17.51.10. Removing Outliers
17.52. Representing Data
17.52.1. Frequency Tables
17.52.2. Dot Plots
17.52.3. Measuring Centrality Using Dot Plots
17.52.4. Measuring Range and MAD From Dot Plots
17.52.5. Measuring Quartiles and IQR From Dot Plots
17.52.6. Interpreting Shapes of Distributions Using Dot Plots
17.52.7. Box Plots
17.52.8. Histograms
17.52.9. Comparing Measures of Center
17.52.10. Comparing Measures of Spread
17.53. Correlation
17.53.1. Scatter Plots
17.53.2. Trend Lines
17.53.3. Making Predictions Using Trend Lines
17.53.4. Interpreting Trend Line Coefficients
17.53.5. Linear Correlation
17.53.6. Selecting a Regression Model
17.54. Introduction to Probability
17.54.1. Sets
17.54.2. Probability From Experimental Data
17.54.3. Sample Spaces and Events in Probability
17.54.4. Single Events in Probability
17.54.5. The Complement of an Event
17.54.6. Venn Diagrams in Probability
17.54.7. Geometric Probability
17.55. Compound Events in Probability
17.55.1. The Union of Sets
17.55.2. The Intersection of Sets
17.55.3. Compound Events in Probability From Experimental Data
17.55.4. Computing Probabilities for Compound Events Using Venn Diagrams
17.55.5. Computing Probabilities of Events Containing Complements Using Venn Diagrams
17.55.6. Conditional Probabilities From Venn Diagrams
17.55.7. Conditional Probabilities From Tables
17.55.8. The Multiplication Law for Conditional Probability
17.55.9. Independent Events