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Based on MathPrep’s extensive research, we have listed math lessons that are covered in a particular grade. Here the lessons are shown as per the grade level. You can practice a lesson that you recently learned or just pick a lesson that was long done to hone your skills. .

• #### Dividing Numbers with Decimals

Decimals
• Divide Numbers with Decimals to the Tenths
• Divide Numbers with Decimals to the Hundredths
• Divide Numbers with Decimals to the Thousandths
• #### Prime Factorization

Properties of Numbers
• Introduction to Prime Factorization
• Finding Prime factors of a number
• #### Multiplying Numbers with Decimals

Decimals
• Multiplying Numbers with Decimals to the Tenths
• Multiplying Numbers with Decimals to the Hundredths
• Multiplying Numbers with Decimals to the Thousandths
• #### GCF and LCM

Properties of Numbers
• Introduction to GCF
• Finding GCF of two or more numbers
• Real-World Problems
• Introduction to LCM
• Finding LCM of two or more numbers
• Real-World Problems
• #### Adding and Subtracting Integers

Integers
• Introduction
• Ordering & comparing integers
• Adding & subtracting integers with same signs
• Adding & subtracting interers with different signs
• Adding & subtacting multiple integers
• #### Multiplying and Dividing Integers

Integers
• Multiplying & dividing integers with the same signs
• Multiplying & dividing  interers with different signs
• Multiplying & dividing multiple integers
• #### Addition and Subtraction of Fractions

Fractions
• Addition and Subtraction of Fractions with Like Denominators
• Addition and Subtraction of Fractions with Unlike Denominators
• Order and Compare Fractions with Like Denominators
• Order and compare Fractions with Unlike Denominators
• Word Problems involving Addition and Subtraction of Fractions
• #### Multiplication and Division of Fractions

Fractions
• Multiplication and Division of Fractions with Like Denominator
• Multiplication and Division of Fractions with Unlike Denominator
• Multiplication and Division of Mixed Fractions
• Word Problems involving Multiplication and Division of Fractions
• #### Mixed Fractions

Fractions
• Addition and Subtraction of Mixed Fractions
• Multiplication and Division of Mixed Fractions
• Order and Compare Mixed Fractions
• Word Problems involving Mixed Fractions
• #### Fraction and Decimal Conversion

Fractions
• Changing Decimal to Fraction
• Changing Fraction to Decimal
• #### Adding and Subtracting Rational Numbers

Rational Numbers
• Subtract Rational Numbers
• #### Order and Compare Rational Numbers

Rational Numbers
• Order Rational Numbers
• Compare Rational Numbers
• #### Multiplying and Dividing Rational Numbers

Rational Numbers
• Multiply Rational Numbers
• Divide Rational Numbers
• #### Order of Operations with Integers

Integers
• Expressions
• Equations
• Inequalities
• #### Absolute Values

Integers
• Introduction to the Absolute values
• Order & Compare absolute values
• Equations with Absolute Values
• Absolute values Inequalities
• Absolute values of Rational Numbers
• Real-world problems involving Absolute Values
• #### Unit Rate

Ratios, Rates and Percents
• Introduction to Unit Rate
• Real-World Problems
• #### Ratios and Proportions

Ratios, Rates and Percents
• Introduction to Ratios
• Equivalent Ratios
• Compare Ratios
• Ratios and Rates
• Ratios and Proportions
• Ratios, Rates and Proportions
• Real-World Problems
• #### Percents

Ratios, Rates and Percents
• Introduction to percents
• Converting decimals to percents
• Converting percents to decimals
• Converting fractions to percents
• Converting percents to fractions
• Finding percent of a number
• Putting percent to work
• #### Algebraic Expressions & Properties

Algebraic Reasoning
• Converting Real- World problems to Algebraic Expression
• Converting Algebraic Expression to Real-World Problem
• Converting Real-World description to Algebraic inequality
• Converting Algebraic inequality to Real-World Description
• Evaluate Algebraic Equations
• Use Algebraic properties to create equivalent Expressions
• One-Step Equations
• #### Introductions to Equations

Algebraic Reasoning
• #### Coordinate Planes

Areas and Perimeter
• Plotting a point in coordinate plane
• Plotting polygons in coordinate plane
• Word problems
• #### Introduction to Statistics

Data Analysis
• Introduction to Statistics
• Statistical Questions
• Non-Statistical Question
• #### Mean, Median, Mode & Range

Data Analysis
• Introduction to statistics
• Mean
• Median
• Mode
• Range
• #### Probability

Data Analysis & Probability
• Probability of simple events
• Theoritical probability
• Experimental probability
• #### Expressions and Equations

Expressions, Equations & Inequalities
• Algebraic expressions
• Combining like terms
• Simple equations
• Solving one-step equations
• Solving two-step euations
• Solving multi-step euationas
• Solving equations with variables on both sides
• #### Linear Inequalities in One Variable

Expressions, Equations & Inequalities
• Introduction to Linear Inequalities in One Variable
• Solving Simple Linear Inequalities
• Graphical Representation of Linear Inequalities in One Variable
• #### Application of Percentage

Percents, Rates & Proportions
• Percent of a number
• Finding a number based on percent of its own
• Percent change - increase or decrease
• Tips, tax, discounts & interests
• Real-life percents problems
• #### Angles & Triangles

Polygons
• Sum of interior angles in a triangle
• Sum of exterior angles in a triangle
• Interior angles sum of a ploygon
• Finding missing angle in a triangle
• #### Adjacent & Vertical Angles

Angle Pairs
• Introduction to adjacent & vertical angles
• Idenfifying adjacent & vertical angles
• Finding adjacent or vertical angle measues
• #### Complementary & Supplementary Angles

Angle Pairs
• Introduction to complementary & supplementary angles
• Identifying complementary & supplementary angles
• Finding missing angle measure
• Parallel lines & traversals
• Angles formed by parallel lines & traversals
• #### Area of Triangles

Areas and Perimeter
• Area of triangles
• Perimeter of triangles
• #### Area of Paralleogram

Areas and Perimeter
• Area of parallelogram
• Perimeter of parallelogram
• #### Area of Trapezoids

Areas and Perimeter
• Area of trapezoids
• #### Area of Circles

Areas and Perimeter
• Area of circles
• Area of semicircles
• Circumference of circles
• #### Area of Composite Figures

Areas and Perimeter
• Introduction to composite shapes & figures
• Splitting composite figures into non overlapping parts/regions
• Finding area of composite figures
• #### Cylinders

Volumes & Surface Areas
• Volume of cylinders
• Surface area of cylinders
• #### Cones

Volumes & Surface Areas
• Volume of cones
• Surface area of cones
• #### Pyramids

Volumes & Surface Areas
• Volume of pyramids
• Surface area of pyramids
• #### Spheres

Volumes & Surface Areas
• Volume of spheres
• Surface area of spheres
• #### Prisms

Volumes & Surface Areas
• Volume of prisms
• Surface area of prisms
• #### Graphs and Charts

Data Analysis & Probability
• Histograms
• Line plots
• Box plots
• Stem-and-leaf plots
• Circle graphs
• #### Irrational Numbers

Irrational Numbers
• Introduction & properties of irrational numbers
• Identifying irrational numbers
• Comparing irrational numbers
• Sum & properties of irrational numbers
• #### Laws of Exponents

Exponents and Indices
• Introduction
• Negative exponents
• Multiplying & dividing exponents
• Power of exponents
• Scientific notations
• #### Scientific Notations

• Introduction to Scientitfic Notations
• Numbers in Scientific Notations
• Numbers in Standard Forms
• Comparision of Numbers in Scientific Notations
• #### Square Roots and Cube Roots

Irrational Numbers
• Exact square & cube roots
• Approximating square & cube roots
• Simplifying square & cube roots
• #### Multi-Step Multi-variable Equations

Expressions, Equations & Inequalities
• #### Introduction to Systems of Equations

Expressions, Equations & Inequalities
• Introduction to Systems of Equations
• Types of Linear Systems in Two Variables
• Consistent and Dependant Equations
• Consistent and Independant Equations
• Inconsistent Equations
• Graphs of Systems of Linear Equations
•
• #### Functions

Relations and Functions
• Introductions to functions & relations
• Defining a function
• Reading inputs & outputs from the graph of a relation
• Properties of a function
• Linear & non-linear function
• Graphs of functions
• #### Domain and Range

Relations and Functions
• Finding the domain of functions
• Determining the range of functions
• #### Evaluating Functions

Relations and Functions
• Identifying linear & non-linear functions
• Evaluating linear & non-linear functions
• Rate of change
• Increasing & decreasing functions
• Positive & negatvie intervals
• #### The Pythagorean Theorem

Right Angles
• Introduction
• Finding length of hytotenuse
• Finding missing leg's legth
• Real life examples & uses of Pythagorean theorem
• #### Special Right Triangles

Right Angles
• Introduction
• 30-60-90 triangles
• 45-45-90 triangles
• #### Translation

Transformation
• Introduction
• Identifying translations
• Translating points
• Translating shapes
• Images after translation
• #### Rotation

Transformation
• Introduction
• Indentifying rotations
• Rotaion point
• Center of rotation
• Direction and degree of rotation
• Images after rotation
• #### Reflection

Transformation
• Introduction
• Indentifying reflection
• Reflection over X & Y axis
• Points after reflection
• Images after reflection
• #### Compound Probability

Data Analysis & Probability
• Introduction to compound probability
• The Or and And conditions
• Probability when one of the two outcome is specified
• Probability when both outcomes are specified
• #### Dilation

Transformation
• Introduction to Dialiation
• Identifying dilation & scaling
• Dialation point
• Identifying scale factor
• Expansion & shrinking based on the scale factor
• Identifying similar figures
• Effects of dialation on figures
• #### Algebraic Fractions

Algebraic Fractions
• Fractions in Algebra
• Adding and Subtracting Algebraic Fractions
• Multiplying and Dividing Algebraic Fractions
• Simplifying/Reducing Algebraic Fractions
• #### Linear Equations

Linear Equations & Inequalities
• Writing Equations in Slope-Intercept Form
• Writing Equations in Point-Slope Form
• Scattered Plots & Lines of Fit
• Parallel and Perpendicular Lines
• #### Inequalities & Graphing

Linear Equations & Inequalities
• Properties of Inequealities
• Solving Inequalities by Addition and Subtraction
• Solving Inequalities by Multiplication and Division
• Multi-Step Inequalities
• Multiple Inequalities
• Graphing Inequalities
• Intervals
• #### Systems of Equations and Inequalities

Linear Equations & Inequalities
• Systems of Equations in Two Variables
• Graphing Systems of Equations
• Solving Systems of Equations using Substitution
• Solving Systems of Equations using Elimination (Addition, Subtraction and Multiplication)
• Graphing Systems of Linear Inequalities
• Applications of Systems of Equations

• #### Multiplying and Dividing Radical Expressions

• Product and Quotient Rule
• Rationalizing the Denominators

• Simplifying Radicals using the Product and Quotient Rules
• Rationalize a Denominator using Conjugates
• Simplifying Square and Cube Roots
• Simplifying Higher Roots
• #### Monomials

Monomials, Polynomials & Factoring
• Introduction to Monomials
• Multiplying Monomials
• Dividing Monomials
• #### Polynomials and Operations

Monomials, Polynomials & Factoring
• Understanding Polynomials
• Multiplying Polynomial with Monomial
• Multiplying Polynomial with Polynomial
• Dividing Polynomial with Monomial
• Dividing Polynomial with Ploynomial
• #### Factoring Polynomials

Monomials, Polynomials & Factoring
• Introduction
• Factoring Out a Common Factor
• Factoring the Difference of Squares
• Factoring Trinomials of Form:
• Factoring Trinomials of Form:
• Factoring by Grouping
• Factoring Perfect Square Trinomials

• Solving Quadratic Equations by Factoring
• Solving Quadratic Equations by Completing the Square
• #### Logarithms

• Laws of Logarithms
• Properties of Logarithm
• Logarithmic Functions
• Logaritmic Equations
• Changing Exponential Equations to Logarithmic Form or Vice Versa
• Change of Base Formula
• Properties and Graphs of Logarithmic Functions
• #### Composite Functions

Relations and Functions
• Introduction to composite functions
• Notations and properties of composite functions
• Functional powers
• Decomposition of functions
• #### Functions

Relations and Functions
• Introduction to functions and relations
• Types and key features of functions
• Interval notation
• Graphs of functions
• Absolute value functions
• Piecewise functions
• Real life applications of functions
• #### Exponential Functions

Relations and Functions
• Exponential Functions
• Exponential Growth
• Exponential Decay
• Exponential Equations

Relations and Functions

• #### Simplifying Rational Expressions

Rational Expressions
• Simplying rational expressions
• #### Multiplying and Dividing Rational Expressions

Rational Expressions
• Multiplying rational expressions
• Dividing rational expressions
• #### Adding and Subtracting Rational Expressions

Rational Expressions
• Subtracting rational expressions
• #### Complex Fractions

Rational Expressions
• Introduction to complex fractions
• Simplifying complex fractions
• Simplifying complex fraction as rewriting it as division
• Simplifying complex fration using least common denominator (LCD)
• #### Rational Functions

Rational Expressions
• Introduction to rational functions
• Identifying a rational function
• Domain and range of a rational function
• Properties and representaion of a rational function
• Intercepts, asymptotes and graphs of a rational function
• #### Adding and Subtracting Complex Numbers

Complex Numbers
• Adding and subtracting complex numbers
• Operations with complex number
• #### Multiplying and Dividing Complex Numbers

Complex Numbers
• Complex conjugates
• Multiplying and dividing complex numbers
• #### Simplifying Complex Numbers

Complex Numbers
• Operations with complex number
• Simplifying complex numbers
• #### Matrix Operations

Matrices and Determinants
• Scaler multiplication (multiplying a matrix by a number)
• Multiplying a matrix by another matrix
• Matrix row operations
• Transpose of a matrix
• #### Determinants & Cramer's Rule

Matrices and Determinants
• Determinants
• Order of determinants
• Evaluating determinants
• Properties of determinants
• Minors and cofactors
• Determinants of a 2 x 2 matrix
• Determinant of a square matrix
• Cramer's rule
• Berzen's layer reduction method
• #### Identity & Inverse Matrices

Matrices and Determinants
• Introduction to indentity matrix
• Properties of identity matrix
• Inverse of a matrix
• Finding inverse of a matrix by elementary operations
• Finding inverse of a matric by the adjoint method
• #### Arithmetic Sequences & Series

Sequence and Series
• Identifying Arithmetic Sequence
• Figuring Out the First x Terms of a Sequence
• Expression/Rule for the ${n}^{th}$term
• Finding the Sum of the First n Terms
• Finding the Sum using Summation Notation
• #### Geometric Sequence & Series

Sequence and Series
• Identifying geometric Sequence
• Finding the Common Ratio
• Expression/Rule for the ${n}^{th}$term
• Finding the Sum of the First n Terms
• Finding the Sum using Summation Notation
• Finding the Sum Based on Given
• #### Permutations

Statistics & Probability
• Fundamental counting principle
• Introduction to permutations
• Formula
• Finding the number of permutation
• Difference between permutation and combination
• #### Combinations

Statistics & Probability
• Introduction to combination
• Relationship between permutation and combination
• Formula
• Finding the number of combination
• Difference between permutation and combination
• #### Binomial Distributions

Statistics & Probability
• Introduction to Binomial Distribution
• Binomial probability distribution, binomial theorm, and other related concepts
• The Mean, Variance, and the Standard Deviation of a binomial probability distribution
• The Binomial Theorem
• #### Normal Distributions

Statistics & Probability
• Introduction to Normality of Data
• Bell-Shaped Curve
• Properties of Normal Distribution
• Converting Normal Scores to Standard Scores
• #### Parabolas

Conic Sections
• Finding the Direction of a Parabola
• Finding the Vertex, Focus and Directrix of a Parabola
• Possible Parabola Options
• Equations of Parabolas
• Finding the Axis of Symmetry
• Properties of Parabolas
• Graphing Parabolas
• #### Circles

Conic Sections
• Finding the Center of a Circle
• Finding the Radius and/or Diameter of a Circle
• Equation of a Circle in Standard Form
• Circles Centered at the Origin
• Circles Not Center at the Origin
• Finding a Tangent Line
• #### Ellipses

Conic Sections
• Finding the Center, Vertices and Co-vertices of Ellipses
• Finding Axes and Foci of Ellipses
• Equation of Ellipses
• Graphing Ellipses
• #### Hyperbolas

Conic Sections
• The Center, Foci and Vertices of a Hyperbola
• The Transverse and Conjugate Axis of a Hyperbola
• The Equation of Asymptote Lines
• The Equation of a Hyperbola in Standard From
• Graphing the Hyperbolas
• #### Congruent Triangles

Congruence & Similarity
• Congruent figures
• Corresponding parts
• Test for congruence
• Congruence by SSS and SAS
• Congruence by ASA and AAS
• Congruence in Isosceles, Equilateral and Right triangles
• Triangle inqualities
• #### Similar Polygons

Congruence & Similarity
• Ratios and proportions
• Properties of proportions
• Similar polygons
• Proportional parts and lengths
• #### Distance and Midpoint Formulas

Coordinate Geometry
• The distance formula
• The midpoint formula
• #### Equation of a Line

Coordinate Geometry
• Equations of line
• Linear equation
• Standard form
• Point-Slope form
• Slope-Intercept form
• #### Equation of a Circle

Circles
• The standard equation of a circle
• Graphs of circles
• #### Sector, Arc Length & Radian Measure

Circles
• Arc length and radian measure
• The radian measure of an angle
• Relationship and conversion between degrees and radians
• Area of a sector
• #### Chords, Secants and Tangents

Circles
• Arcs and chords
• Angles by Chords, Secants, or Tangents
• Segments of Chords, Secants, and Tangents
• #### Central and Inscribed Angles

Circles
• Central angles
• Arcs
• Inscribed angles
• Intercepted arcs
• Angles forrmed by a tangent and a chord

Trignometric Functions
• Relationship between degree and radians
• Converting the measure of an angle from degree to radians
• Converting the measure of an angle from radians to degree
• #### Right Triangle Trigonometry

Trignometric Functions
• Six Trigonometric Ratios
• Relationship between trigonometric ratios
• Trigonometric Ratios of Complementary Angles
• #### The Unit Circles

Trignometric Functions
• Introcution to the Unit Circles
• Trignometric (Circular) Functions
• The Unit Circle
• Properties of the Unit Circles and Special Angles
• Trinometric Functions of any Angle
• Reference Angle
• #### Trigonometric Identities

Trignometric Identities and Equations
• Reciprocal Identities
• Pythagorean Identities
• Sign Identities
• Cofunction Identities
• Verify an Identity
• #### Trigonometric Equations

Trignometric Identities and Equations
• Introduction to Trignometric Equations
• Finding Principal Solution of Trigonometric Equations
• Finding General Solution of Trigonometric Equations
• #### The Law of Sines

Applications of Trignometry
• Introduction
• The Law of Sines
• Applications of the law of sines
• #### The Law of Cosine and Area

Applications of Trignometry
• Introduction
• The Law of Cosines
• Applications of the Law of Cosines
• Area Formulas
• #### Vectors

Applications of Trignometry
• Representation of a Vector
• Vector Operations - Addition and Scalar Multiplication
• Unit Vectors
• Horizontal & Vertical Components of a Vector
• Dot Product of Vectors
• Angle Between Two Vectors
• #### Continuous Function

Relations and Functions
• Introduction to continuous functions
• Discontinuous functions
• Types of discontinuities
• Removable discontinuity
• Jump discontinuity
• Infinite discontinuity
• #### Inverse Functions

Relations and Functions
• Introduction to inverse function
• Inputs & outputs of the inverse function
• Graphs of inverse functions
• Finding inverse of a function
• Real world examples of inverses