Math
Core Subjects
Welcome to MiaPrep! This program launched in August 2021 and is constantly expanding. You will find a snapshot of currently available lessons below. Additional lessons are added on a weekly basis. You won’t need to worry about running out of relevant learning materials! MiaPrep does not limit the learning opportunities of children, but instead enable every member to advance at their own pace. Students who have mastered grade-specific material can move on to more advanced studies. Similarly, members who need more time or lack fundamentals in certain subject areas are encouraged to go back and revisit lower-grade subject material without being told that they lag behind. Please note that all subject areas are optional. From your parent account, you can give or remove access to any subject based on your family’s needs.
Prealgebra
Recommended Grade: 7 – 8
Unit 1
Introduction to the Number System
Add and Subtract Positive Integers
Add and Subtract Negative Integers Part 1
Add and Subtract Negative Integers Part 2
Multiply Positive and Negative Integers
Divide Positive and Negative Integers
Applications With Positive and Negative Integers
Unit 2
Introduction to Exponents
Introduction to the Order of Operations
Mental Math: Multiplication Division II
Simplifying Expressions
Application of Order of Operations
Dividing Decimals 3
Unit 3
NEW Introduction to Percents
NEW Decimals, Fractions, and Percents
NEW Decimal, Fraction, Percent Conversions
Simplify Terms 2
Square Numbers
Unit 4
Classifying Solid Figures
Volume of Cubes and Right Prisms
Circumference and Area of Circles
Surface Area of Cubes and Right Prisms
Graphing: Rise and Run
Graphing: Lines
Intermediate Geometry
Unit 5
Intro to Absolute Value
Comparing Absolute Values
Writing Algebraic Expressions
Parts of Algebraic Expressions
Evaluate Expressions with One Variable
Evaluate Exponential Expressions with One Variable
Evaluate Expressions with Two Variables
Unit 6
Distributive Property: Addition
Distributive Property: Subtraction
Distributive Property: with Variables
Intro to Combining Like Terms
Combining Like Terms
Unit 7
Intro to Equations
Testing Solutions to Equations
Inverse Operations
Both Sides of the Equation
Solving One-Step Addition and Subtraction Equations
Solving One-Step Multiplication and Division Equations
One-Step Equation Word Problems
Unit 8
Intro to Exponents
Evaluating Exponents
Product Property of Exponents
Quotient Property of Exponents
Using the Order of Operations with Exponents
Scientific Notation: Part 1
Scientific Notation: Part 2
Unit 9
Testing Solutions to Inequalities
Plotting Inequalities
Word Problems with Inequalities
One-Step Inequalities with Addition and Subtraction
One-Step Inequalities with Multiplication and Division
One-Step Inequalities with Negative Numbers
Compound Inequalities
Unit 10
Combining Like Terms: Rational Coefficients
Intro to Factoring
Factoring Complex Expressions
Equivalent Expressions
Equations with Variables in the Denominator
Unit 11
Two-Step Equations
Equations with Variables on Both Sides
Linear Equations: Number of Solutions
Two-Step Inequalities
Unit 12
Linear Functions
Linear Inequalities
Unit 13
Pythagorean Theorem Unit Introduction
Foundations of Square Roots
Foundations of Right Triangles
Pythagorean Theorem
Unit Wrap-Up: Pythagorean Theorem
Algebra 1
Recommended Grade: 9
Unit 0: Course Introduction
Algebra Introduction
Unit 1: Coordinate Plane
Unit Introduction: Coordinate Plane
Plotting Points: Part 1
Plotting Points: Part 2
Slopes: Part 1
Slopes: Part 2
Slopes: Part 3
Slopes: Part 4
Unit Wrap-Up: Coordinate Plane
Unit 2: Algebraic Expressions
Unit Introduction: Algebraic Expressions
Parts of Algebraic Expressions
Translating Algebraic Expressions: Part 1
Translating Algebraic Expressions: Part 2
Evaluating Algebraic Expressions: Part 1
Evaluating Algebraic Expressions: Part 2
Combining Like Terms
The Distributive Property
Simplifying Algebraic Expressions
Unit Wrap-Up: Algebraic Expressions
Unit 3: Equations
Unit Introduction: Equations
Solutions to Equations
One-Step Equations
Two-Step Equations: Part 1
Two-Step Equations: Part 2
Variables on Both Sides
Wrap-Up: Equation Foundations
Multi-Step Equations: Part 1
Multi-Step Equations: Part 2
Multi-Step Equations: Part 3
Wrap-Up: Multi-Step Equations
Proportions
Number of Solutions: Part 1
Number of Solutions: Part 2
Literal Equations: Part 1
Literal Equations: Part 2
Unit Wrap-Up: Equations
Unit 4: Inequalities
Unit Introduction: Inequalities
Representing Solutions to Inequalities
Solving One-Step Inequalities
Solving Multi-Step Inequalities
Compound Inequalities: Part 1
Compound Inequalities: Part 2
Compound Inequalities: Part 3
Inequality Scenarios
Unit Wrap-Up: Inequalities
Unit 5: Functions
Unit Introduction: Functions
Function or Not a Function?
Analyzing Functions: Part 1
Analyzing Functions: Part 2
Analyzing Functions: Part 3
Evaluating Functions
Composite Functions
Unit Wrap-Up: Functions
Unit 6: Linear Equations in Slope-Intercept Form
Unit Introduction: Linear Equations in Slope-Intercept Form
Solutions to Linear Equations
Linear Attributes
Graphing From Slope-Intercept Form
Writing Equations in Slope-Intercept Form: Part 1
Writing Equations in Slope-Intercept Form: Part 2
Horizontal and Vertical Lines
Applications of Slope-Intercept Form: Part 1
Applications of Slope-Intercept Form: Part 2
Unit Wrap-Up: Linear Equations in Slope-Intercept Form
Unit 7: Linear Equations in Point-Slope Form
Unit Introduction: Linear Equations in Point-Slope Form
Graphing From Point-Slope Form
Writing Equations in Point-Slope Form: Part 1
Writing Equations in Point-Slope Form: Part 2
Unit Wrap-Up: Linear Equations in Point-Slope Form
Unit 8: Linear Equations in Standard Form
Unit Introduction: Linear Equations in Standard Form
Graphing From Standard Form
Applications of Standard Form: Part 1
Applications of Standard Form: Part 2
Unit Wrap-Up: Linear Equations in Standard Form
Unit 9: Special Linear Cases
Unit Introduction: Special Linear Cases
Parallel and Perpendicular Lines: Part 1
Parallel and Perpendicular Lines: Part 2
Linear Inequalities
Unit Wrap-Up: Special Linear Cases
Unit 10: Systems of Linear Equations
Unit Introduction: Systems of Linear Equations
Solving Linear Systems by Graphing
Solving Systems by Substitution: Part 1
Solving Systems by Substitution: Part 2
Solving Systems by Substitution: Part 3
Solving Systems by Elimination: Part 1
Solving Systems by Elimination: Part 2
Solving Systems by Elimination: Part 3
Wrap-Up: Three Methods of Solving Systems
Solving Systems Using All Methods
Applications of Linear Systems
Systems of Linear Inequalities
Unit Wrap-Up: Systems of Linear Equations
Unit 11: Exponents and Radicals
Unit Introduction: Exponents and Radicals
Product of Powers
Quotient of Powers
Power of a Power
Power of a Product
Power of a Quotient
Zero and Negative Exponents
Exponent Expression Simplification: Part 1
Exponent Expression Simplification: Part 2
Introduction to Radicals
Simplifying Square Roots
Unit Wrap-Up: Exponents and Radicals
Unit 12: Exponential Functions
Unit Introduction: Exponential Functions
Exponential Function Attributes: Part 1
Exponential Function Attributes: Part 2
Graphing Exponential Functions
Writing Exponential Functions: Part 1
Writing Exponential Functions: Part 2
Exponential Scenarios: Money
Exponential Scenarios: Science
Unit Wrap-Up: Exponential Functions
Unit 13: Polynomials and Factoring
Unit Introduction: Polynomials and Factoring
Adding and Subtracting Polynomials
Multiplying Polynomials: Part 1
Multiplying Polynomials: Part 2
Wrap-Up: Polynomial Operations
Factoring the GCF
Factoring Trinomials: Part 1
Factoring Trinomials: Part 2
Factoring Trinomials: Part 3
Factoring Trinomials: Part 4
Factoring Trinomials With a GCF
Unit Wrap-Up: Polynomials and Factoring
Unit 14: Quadratic Functions
Unit Introduction: Quadratic Functions
Solving by Factoring
Quadratic Formula: Part 1
Quadratic Formula: Part 2
Completing the Square: Part 1
Completing the Square: Part 2
Wrap-Up: Solving Quadratic Equations
Quadratic Function Attributes
Graphing From Standard Form
Introduction to Vertex Form
Graphing From Vertex Form
Converting Between Quadratic Forms
Unit Wrap-Up: Quadratic Functions
Unit 15: Course Wrap-Up
Algebra Wrap-Up
Geometry
Recommended Grade: 10
Course Introduction
Introduction to Geometry
Unit 1: Lines and Angles
Lines and Angles Unit Introduction
Points, Lines, and Planes
Copying a Line Segment
Constructing Parallel and Perpendicular Lines
Pythagorean Theorem Review
Distance Formula: Part 1
Distance Formula: Part 2
Segment Addition Postulate
Finding Midpoints
Wrap-Up: Lines
Copying and Bisecting Angles
Angle Vocabulary and Relationships
Finding Angle Measures
Wrap-Up: Angles
Unit Wrap-Up: Lines and Angles
Unit 2: Transformations
Transformations Unit Introduction
Performing Reflections: Part 1
Performing Reflections: Part 2
Reflection Notation
Performing Translations
Translation Notation
Wrap-Up: Reflections and Translations
Performing Rotations
Rotation Notation
Performing Dilations
Dilation Notation
Wrap-Up: Rotations and Dilations
Compositions of Transformations
Symmetry
Unit Wrap-Up: Transformations
Unit 3: Parallel and Perpendicular Lines
Parallel and Perpendicular Lines Unit Introduction
Lines and Transversals
Parallel Lines and Transversals
Proving Lines Parallel
Parallel and Perpendicular Slopes
Writing Parallel and Perpendicular Equations
Perpendicular Lines and Distance
Unit Wrap-Up: Parallel and Perpendicular Lines
Unit 4: Triangles
Triangles Unit Introduction
Classifying Triangles
Triangle Constructions
Exterior Angle Theorem
Angle Side Relationships
Triangle Inequality Theorem
Hinge Theorem
Wrap-Up: Triangle Properties
Circumcenter
Incenter
Centroid
Wrap-Up: Special Segments of Triangles
Triangle Congruence Theorems
CPCTC: Congruent Triangles
Unit Wrap-Up: Triangles
Unit 5: Logic
Logic Unit Introduction
Deductive and Inductive Reasoning
Conditional Statements
Logic Statements: Part 1
Logic Statements: Part 2
Laws of Detachment and Syllogism
Unit Wrap-Up: Logic
Unit 6: Proofs
Proofs Unit Introduction
Properties for Proofs
Algebraic Proofs
Lines and Angles Proofs: Part 1
Lines and Angles Proofs: Part 2
Wrap-Up: Algebraic, Lines, and Angles Proofs
Triangle Proofs: Part 1
Triangle Proofs: Part 2
Unit Wrap-Up: Proofs
Unit 7: Polygons
Polygons Unit Introduction
Fundamentals of Polygons
Polygon Constructions
Interior Angles of a Polygon
Exterior Angles of a Polygon
Unit Wrap-Up: Polygons
Unit 8: Quadrilaterals
Quadrilaterals Unit Introduction
Properties of Parallelograms
Parallelogram Tests
Rectangles
Rhombuses and Squares
Wrap-Up: Types of Parallelograms
Trapezoids
Kites
Unit Wrap-Up: Quadrilaterals
Unit 9: Similarity
Similarity Unit Introduction
Ratios in Geometry
Solving Proportions
Similar Polygons
Similar Triangles: Part 1
Similar Triangles: Part 2
Triangle Proportionality Theorem
Parallel Line Proportion
Unit Wrap-Up: Similarity
Unit 10: Trigonometry
Trigonometry Unit Introduction
Special Right Triangles: Part 1
Special Right Triangles: Part 2
Pythagorean Inequalities
Similar Right Triangles
Trigonometric Ratios
Wrap-Up: Intro to Trigonometry
Trigonometry With Calculators
Inverse Trigonometry With Calculators
Solving Triangles
Angle of Elevation and Depression
Unit Wrap-Up: Trigonometry
Unit 11: Circles
Circles Unit Introduction
Circle Vocabulary
Arc Length and Arc Measure: Part 1
Arc Length and Arc Measure: Part 2
Angles Part 1: On the Circle
Angles Part 2: Inside the Circle
Angles Part 3: Outside the Circle
Wrap-Up: Arcs and Angles
Intersecting Segments Part 1: Inside the Circle
Intersecting Segments Part 2: Outside the Circle
Other Chord and Segment Relationships
Unit Wrap-Up: Circles
Unit 12: Circle Equations
Circle Equations Unit Introduction
Standard Form Part 1: Graphing
Standard Form Part 2: Writing Equations
General Form Part 1: Writing Equations
General Form Part 2: Converting to Standard Form
General Form Part 3: Identifying Key Information
Unit Wrap-Up: Circle Equations
Unit 13: Area
Area Unit Introduction
Rectangles and Triangles
Parallelograms and Trapezoids: Part 1
Parallelograms and Trapezoids: Part 2
Circles and Sectors: Part 1
Circles and Sectors: Part 2
Regular Polygons: Part 1
Regular Polygons: Part 2
Wrap-Up: Area Formulas
Area in the Coordinate Plane
Area of Similar Figures
Area of Composite Figures
Unit Wrap-Up: Area
Unit 14: 3D Geometry
3D Geometry Unit Introduction
Fundamentals of 3D Figures
Cross Sections of 3D Figures
Surface Area of Prisms
Surface Area of Cylinders
Surface Area of Pyramids and Cones
Surface Area of Spheres
Composite Surface Area
Wrap-Up: Surface Area
Volume of Prisms and Cylinders
Volume of Pyramids and Cones
Volume of Spheres
Composite Volume
Unit Wrap-Up: 3D Geometry
Unit 15: Probability
Probability Unit Introduction
Simple Probability
Mutually Exclusive Events
Geometric Probability
Fundamental Counting Principle
Conditional Probability
Frequency Tables
Wrap-Up: Single Event Probability
Compound Probability
Permutations and Combinations
Experimental Probability
Unit Wrap-Up: Probability
Unit 16: Course Wrap-Up
Geometry Wrap-Up
Algebra 2
Recommended Grade: 11 – 12
Unit 1: Polynomial Arithmetic
Introduction to Polynomials
Average Rate of Change of Polynomials (graphical)
Average Rate of Change of Polynomials (algebraic)
Add Polynomials
Subtract Polynomials
Advanced Polynomial Addition and Subtraction
Multiply Monomials
Multiply Monomials by Polynomials
Multiply Binomials by Polynomials
Polynomial Special Products
Unit 2: Complex Numbers
Simplify Roots of Negative Numbers
Powers of the Imaginary Unit
Parts of Complex Numbers
Classify and Plot Complex Numbers
Add and Subtract Complex Numbers
Basic Complex Number Multiplication
Advanced Complex Number Multiplication
Solve Quadratic Equations with Complex Solutions
Unit 3: Polynomial Factorization
Factor Monomials
Greatest Common Factor of Monomials
Greatest Common Factor of Polynomials
Factor Higher Degree Polynomials
Identify Quadratic Patterns
Factorization with Patterns
Polynomial Identities
Unit 4: Polynomial Division
Divide Polynomials by x
Divide Quadratics by Linear Expressions
Polynomial Long Division
Identify Factors with Polynomial Long Division
Remainder Theorem
Unit 5: Polynomial Graphs
Zeros of Factored Polynomials
Zeros of Non-Factored Polynomials
Polynomial Intervals
Multiplicity of Polynomial Zeros
Polynomial End Behavior
Remainder Theorem and Graphs
Factor Theorem and Graphs
Polynomial Graphs Challenge
Unit 6: Rational Exponents and Radicals
Basic Fractional Exponents
Advanced Fractional Exponents
Basic Properties of Rational Exponents
Advanced Properties of Rational Exponents
Evaluate Radical Expressions
Equivalent Forms of Exponential Expressions
Solve Exponential Equations
Unit 7: Exponential Models
Geometric Series
Interpret Change in Exponential Models
Interpret Time in Exponential Models
Construct Exponential Models
Interpret Change in Exponential Models (with manipulation)
Interpret Change in Exponential Models (changing units)
Unit 8: Logarithms
Evaluate Logarithms
Relationship between Exponentials and Logarithms
Properties of Logarithms
Logarithm Change of Base Rule
Solve Exponential Equations Using Logarithms
Logarithms with Models
Unit 9: Transformations of Functions
Shift Functions
Reflect Functions
Even and Odd Functions
Scale Functions Vertically and Horizontally
Identify Function Transformations
Graphs of Square and Cube Root Functions
Graphs of Exponential Functions
Graphs of Logarithmic Functions
Unit 10: Equations
Rational Equations
Inverses of Rational Functions
Square Root Equations
Extraneous Solutions of Square Root Equations
Extraneous Solutions of Variable Expressions
Linear Quadratic Systems
Non-Linear Quadratic Systems
Approximating Solutions to Equations
Solving Equations Graphically
Solving Word Problems Graphically
Approximating Equations and Graphs Review
Unit 11: Introduction to Trigonometry
Introduction to the Sine, Cosine, and Tangent Ratios
Trigonometric Ratios in Similar Triangles
Applications of Right Triangle Trigonometry
Wrap-Up: Right Triangle Trigonometry
Review of the Pythagorean Theorem
Review of Special Right Triangles
Specific Values for 1st Quadrant Angles
The Left-Hand Technique for 1st Quadrant Angles
Introduction to the Unit Circle
Unit Circle Definition of Trigonometric Functions
Specific Values for Unit Circle in Remaining Quadrants
Wrap-Up: Unit Circle Trigonometry
Unit 12: Rational Expressions and Functions
Simplifying Rational Expressions
Multiplying and Dividing Rational Expressions
Wrap-Up: Simplifying, Multiplying, and Dividing Rational Expressions
Adding and Subtracting Rational Expressions: Simple Denominators
Adding and Subtracting Rational Expressions: Factored Denominators
Adding and Subtracting Rational Expressions: Unfactored Denominators
Wrap-Up: Adding and Subtracting Rational Expressions
Solving Rational Equations Using the Cross Product
Solving Rational Equations Using the Least Common Multiple
Wrap-Up: Solving Rational Equations
Work Rate Problems
Distance, Rate, Time Problems
Rational Inequalities
Wrap-Up: Rational Applications and Inequalities
Unit 13: Graphs of Rational Functions
Review of Domain and Range
Review of Interval Notation
Reciprocal Functions
Translations of Reciprocal Functions
Reflections of Reciprocal Functions
Dilations of Reciprocal Functions
Wrap-Up: Reciprocal Functions
Discontinuities in Rational Functions
Review of Polynomial Long Division
Horizontal Asymptotes in Rational Functions
Oblique Asymptotes in Rational Functions
Wrap-Up: Asymptotes of Rational Functions
Intercepts of Rational Functions
Sketching Rational Functions
Unit 14: Absolute Value Functions
Introduction to Absolute Value
Evaluating Absolute Value Expressions
Graphing Absolute Value Functions
Transformations of Absolute Value Functions
Solving Absolute Value Equations
Absolute Value Inequalities
Absolute Value Wrap-Up
Unit 15: Piecewise Functions
Introduction to Piecewise Functions
Graphing Piecewise Functions
Evaluating Piecewise Functions
Modeling With Piecewise Functions
Piecewise Functions Wrap-Up
Precalculus
Recommended Grade: 12
Course Introduction
Course Introduction
Unit 1: Functions
Unit Introduction: Functions
Function Basics: Part 1
Function Basics: Part 2
Function Transformations
Wrap-Up: Function Basics
Operations on Functions
Composite Functions
Finding the Domain of Composite Functions
Wrap-Up: Operations on Functions
Inverse Functions: Part 1
Inverse Functions: Part 2
Piecewise Functions
Unit Review: Functions
Unit Wrap-Up: Functions
Unit 2: Polynomial and Rational Functions
Unit Introduction: Polynomial and Rational Functions
Polynomial Expressions and Functions
Finding Roots of Quadratic Functions
Wrap-Up: Polynomial Function Basics
Fundamental Theorem of Algebra
Synthetic Division
Rational Root Theorem
Graphing Polynomial Functions
Wrap-Up: Finding Zeros
Writing Polynomial Functions
Applications of Polynomial Functions
Wrap-Up: Polynomial Functions
Operations With Rational Expressions
Analyzing Rational Functions
Graphing Rational Functions
Unit Review: Polynomial and Rational Functions
Unit Wrap-Up: Polynomial and Rational Functions
Unit 3: Exponential and Logarithmic Functions
Unit Introduction: Exponential and Logarithmic Functions
Modeling With Exponential Functions: Part 1
Modeling With Exponential Functions: Part 2
The Interest-ing Story of e
Wrap-Up: Exponential Models
Logarithmic Relationships
Properties of Logarithms
The One-to-One Properties of Exponential and Logarithmic Functions
Wrap-Up: Exponential and Logarithmic Equations
Graphing Exponential and Logarithmic Functions
Finding Inverses of Exponential Logarithmic Functions
Unit Review: Exponential and Logarithmic Functions
Unit Wrap-Up: Exponential and Logarithmic Functions
Unit 4: Conic Sections
Unit Introduction: Conic Sections
Circles
Parabolas: Part 1
Parabolas: Part 2
Wrap-Up: Circles and Parabolas
Ellipses: Part 1
Ellipses: Part 2
Hyperbolas: Part 1
Hyperbolas: Part 2
Wrap-Up: Ellipses and Hyperbolas
Systems of Nonlinear Equations
Unit Review: Conic Sections
Unit Wrap-Up: Conic Sections
Unit 5: Trigonometry
Unit Introduction: Trigonometry
Right Triangle Trigonometry
Measuring Angles With Radians and Degrees
The Unit Circle
Trigonometric Values on the Unit Circle
Wrap-Up: The Unit Circle
Graphs of Sine and Cosine Functions
Transformations of Sine and Cosine Functions
Wrap-Up: Sine and Cosine Functions
Graph of the Tangent Function
Graphs of Reciprocal Functions
Unit Review: Trigonometry
Unit Wrap-Up: Trigonometry
Unit 6: Trigonometric Identities and Equations
Unit Introduction: Trigonometric Identities and Equations
Fundamental Trigonometric Identities
Pythagorean Identities
Wrap-Up: Fundamental Trigonometric Identities
Sum and Difference Identities: Part 1
Sum and Difference Identities: Part 2
Double-Angle and Half-Angle Identities
Wrap-Up: Trigonometric Identities
Inverse Trigonometric Functions
Solving Trigonometric Equations: Part 1
Solving Trigonometric Equations: Part 2
Wrap-Up: Trigonometric Equations
Advanced Identities: Part 1
Advanced Identities: Part 2
Unit Review: Trigonometric Identities and Equations
Unit Wrap-Up: Trigonometric Identities and Equations
Unit 7: Applications of Trigonometry
Unit Introduction: Applications of Trigonometry
Law of Sines
Law of Cosines
Wrap-Up: Oblique Triangle Applications
Polar Coordinates
Polar Equations
The Complex Plane
Operations on Complex Numbers
Wrap-Up: Polar Coordinates and Complex Numbers
Vectors in the Plane
Vector Operations: Part 1
Vector Operations: Part 2
Vector Applications
Unit Review: Applications of Trigonometry
Unit Wrap-Up: Applications of Trigonometry
Unit 8: Matrices
Unit Introduction: Matrices
Basic Operations With Matrices
Matrix Multiplication: Part 1
Matrix Multiplication: Part 2
Wrap-Up: Basics of Matrices
Determinant of a Matrix
Inverse of a Matrix: Part 1
Inverse of a Matrix: Part 2
Wrap-Up: Determinants and Inverses
Solving Systems of Equations Using Inverse Matrices
Solving Systems of Equations Using Gauss-Jordan Elimination: Part 1
Solving Systems of Equations Using Gauss-Jordan Elimination: Part 2
Solving Systems of Equations Using Cramer’s Rule
Applications of Matrices With Systems of Equations
Unit Review: Matrices
Unit Wrap-Up: Matrices
Unit 9: Sequences, Series, and the Binomial Theorem
Unit Introduction: Sequences, Series, and the Binomial Theorem
Arithmetic Sequences
Geometric Sequences
Wrap-Up: Sequences
Summation Notation
Arithmetic Series
Finite Geometric Series
Infinite Geometric Series
Wrap-Up: Series
Fundamental Counting Principle and Permutations
Combinations
Pascal’s Triangle
The Binomial Theorem
Unit Review: Sequences, Series, and the Binomial Theorem
Unit Wrap-Up: Sequences, Series, and the Binomial Theorem
Unit 10: Introduction to Calculus
Introduction to Limits
One-Sided Limits
Limits and Discontinuities
Limit Laws
Wrap-Up: Limits From Graphs and Tables
Evaluating Limits Analytically: Part 1
Evaluating Limits Analytically: Part 2
Evaluating Limits Analytically: Part 3
Limits at Infinity
Wrap-Up: Evaluating Limits Analytically
Finding the Slope of a Tangent Line
The Derivative at a Point
Analyzing Functions and Derivatives
Unit Review: Introduction to Calculus
Unit Wrap-Up: Introduction to Calculus
Unit 11: Introduction to Statistics
Unit Introduction: Introduction to Statistics
Graphical Representations of Data
Measures of Central Tendency
Measures of Dispersion
Outliers
Shape and Skewness
Wrap-Up: Summarizing Data
Probability Basics
Probability Distributions: Part 1
Probability Distributions: Part 2
The Normal Distribution: Part 1
The Normal Distribution: Part 2
Sampling Methods
Unit Review: Introduction to Statistics
Unit Wrap-Up: Introduction to Statistics
Unit 12: Course Wrap-Up
Course Review
Course Wrap-Up
Applied Learning
A unique strength of Miaprep is that much of the learning happens in a playful way by interacting with the community. This requires that you enable Community features on our sites and allow at least some interaction with other members. The level of interaction can be set in the Learning Community section of your parent account.
Writing for the Weekly Newspaper
Our weekly site-wide newspaper provides an opportunity for students to practice their writing skills in the following categories:
Short Stories Budding authors share stories.
Chapter Books For children writing a longer/continuing story, they can post one part or chapter each week.
Poems Rhyming or not, beautiful thought pictures painted in words.
Fan Fiction Continuing the story from favorite books, movies, or shows.
Reviews Reviews of books, movies, comic books, video games, etc…
Sports and Hobbies Children share about their passion or hobbies.
Short Stories Budding authors share stories.
Chapter Books For children writing a longer/continuing story, they can post one part or chapter each week.
Poems Rhyming or not, beautiful thought pictures painted in words.
Fan Fiction Continuing the story from favorite books, movies, or shows.
Reviews Reviews of books, movies, comic books, video games, etc…
Sports and Hobbies Children share about their passion or hobbies.
Creating Artwork
The Design Studio (accessible through the “My World” page) enables children to create artwork in the categories “clothing,” “furniture,” and “art.” Our members can decorate their castles and their avatars with these creations.
Business Simulation
Marketing and Advertising Students who have the Community feature option enabled can run their own shops, filled with their creations (see above). Many want their shops to be featured as a “top shop” which requires a large number of other members to become their customers. Applied MathSetting prices Determining prices is a practical application of mathematics. Setting a price too high will make it unlikely for a product to be sold. Setting it too low, on the other hand, means forgoing profits! Members set prices for each item in their stores. The prices determine the profit that they will make with each sale, as there is also a production cost involved in each sale. In addition, through the “My Business” game, members can run sales promotions (reducing the price, but being promoted in return) as another way to adjust prices. Similarly, authors of newspaper articles can set an asking price for advertisement placement on their articles. Other members can then decide based on the quality of the article and the asking price if they want to place the article there.
Reducing cost When selling an item, members receive the difference between the price they have set and the “production cost,” i.e., the price of a blank template of the same item. Through the My Business game, they can choose to purchase different levels of machinery to reduce production cost. This, of course, only makes sense if they are selling enough items to justify the cost of the machine. The sales trend for each item can be monitored in the My Business game and children can apply math according to their abilities to evaluate for which items they want to buy a cost-reducing machine.