Lessons by Grade Level

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. .

  • Decimals
    • Divide Numbers with Decimals to the Tenths 
    • Divide Numbers with Decimals to the Hundredths
    • Divide Numbers with Decimals to the Thousandths
  • Properties of Numbers
    • Introduction to Prime Factorization
    • Finding Prime factors of a number
  • Decimals
    • Multiplying Numbers with Decimals to the Tenths
    • Multiplying Numbers with Decimals to the Hundredths
    • Multiplying Numbers with Decimals to the Thousandths
  • 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
  • Integers
    • Introduction
    • Ordering & comparing integers
    • Adding & subtracting integers with same signs
    • Adding & subtracting interers with different signs
    • Adding & subtacting multiple integers
  • Integers
    • Multiplying & dividing integers with the same signs
    • Multiplying & dividing  interers with different signs
    • Multiplying & dividing multiple integers
  • 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
  • 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
  • Fractions
    • Addition and Subtraction of Mixed Fractions
    • Multiplication and Division of Mixed Fractions
    • Order and Compare Mixed Fractions
    • Word Problems involving Mixed Fractions
  • 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
  • Ratios, Rates and Percents
    • Introduction to Unit Rate
    • Real-World Problems
  • Ratios, Rates and Percents
    • Introduction to Ratios
    • Equivalent Ratios
    • Compare Ratios
    • Ratios and Rates
    • Ratios and Proportions
    • Ratios, Rates and Proportions
    • Real-World Problems
  • 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 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
  • Areas and Perimeter
    • Introduction to four quadrants
    • Plotting a point in coordinate plane
    • Plotting polygons in coordinate plane
    • Word problems
  • Data Analysis & Probability
    • Probability of simple events
    • Theoritical probability
    • Experimental probability
  • 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
  • Expressions, Equations & Inequalities
    • Introduction to Linear Inequalities in One Variable
    • Solving Simple Linear Inequalities
    • Graphical Representation of Linear Inequalities in One Variable
  • 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
  • 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
  • Angle Pairs
    • Introduction to adjacent & vertical angles
    • Idenfifying adjacent & vertical angles
    • Finding adjacent or vertical angle measues
  • Angle Pairs
    • Introduction to complementary & supplementary angles
    • Identifying complementary & supplementary angles
    • Finding missing angle measure
    • Parallel lines & traversals
    • Angles formed by parallel lines & traversals
  • Areas and Perimeter
    • Radius & diameter
    • Area of circles
    • Area of semicircles
    • Circumference of circles
  • Areas and Perimeter
    • Introduction to composite shapes & figures
    • Splitting composite figures into non overlapping parts/regions
    • Finding area of composite figures
  • Volumes & Surface Areas
    • Volume of cylinders
    • Surface area of cylinders
  • Volumes & Surface Areas
    • Volume of cones
    • Surface area of cones
  • Volumes & Surface Areas
    • Volume of pyramids
    • Surface area of pyramids
  • Volumes & Surface Areas
    • Volume of spheres
    • Surface area of spheres
  • 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
    • Introduction & properties of irrational numbers
    • Identifying irrational numbers
    • Comparing irrational numbers
    • Sum & properties of irrational numbers
  • Exponents and Indices
    • Introduction
    • Negative exponents
    • Adding & subtracting exponents
    • Multiplying & dividing exponents
    • Power of exponents
    • Scientific notations

    • Introduction to Scientitfic Notations
    • Numbers in Scientific Notations
    • Numbers in Standard Forms
    • Comparision of Numbers in Scientific Notations
  • Irrational Numbers
    • Exact square & cube roots
    • Approximating square & cube roots
    • Simplifying square & cube roots
  • 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
    •  
  • 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
  • Relations and Functions
    • Finding the domain of functions
    • Determining the range of functions
  • Relations and Functions
    • Identifying linear & non-linear functions
    • Evaluating linear & non-linear functions
    • Rate of change
    • Increasing & decreasing functions
    • Positive & negatvie intervals
  • Right Angles
    • Introduction
    • Finding length of hytotenuse
    • Finding missing leg's legth
    • Real life examples & uses of Pythagorean theorem
  • Transformation
    • Introduction
    • Identifying translations
    • Translating points
    • Translating shapes
    • Images after translation
  • Transformation
    • Introduction
    • Indentifying rotations
    • Rotaion point
    • Center of rotation
    • Direction and degree of rotation
    • Images after rotation
  • Transformation
    • Introduction
    • Indentifying reflection
    • Reflection over X & Y axis
    • Points after reflection
    • Images after reflection
  • 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
  • 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
    • Fractions in Algebra
    • Adding and Subtracting Algebraic Fractions
    • Multiplying and Dividing Algebraic Fractions
    • Simplifying/Reducing Algebraic Fractions
  • Linear Equations & Inequalities
    • Writing Equations in Slope-Intercept Form
    • Writing Equations in Point-Slope Form
    • Scattered Plots & Lines of Fit
    • Parallel and Perpendicular Lines
  • 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
  • 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
  • Radical Expressions
    • Simplifying Radicals using the Product and Quotient Rules
    • Simplifying Radicals with Variables
    • Rationalize a Denominator using Conjugates
    • Simplifying Square and Cube Roots
    • Simplifying Higher Roots
    • Solving Equations with Radicals
  • Monomials, Polynomials & Factoring
    • Introduction to Monomials
    • Adding and Subtracting Monomials
    • Multiplying Monomials
    • Dividing Monomials
  • Monomials, Polynomials & Factoring
    • Understanding Polynomials
    • Adding and Subtracting Polynomials
    • Multiplying Polynomial with Monomial
    • Multiplying Polynomial with Polynomial
    • Dividing Polynomial with Monomial
    • Dividing Polynomial with Ploynomial
  • Monomials, Polynomials & Factoring
    • Introduction
    • Factoring Out a Common Factor
    • Factoring the Difference of Squares
    • Factoring Trinomials of Form: x2 + bx + c
    • Factoring Trinomials of Form: ax2 + bx + c
    • Factoring by Grouping
    • Factoring Perfect Square Trinomials
  • Quadratic Systems
    • Solving Quadratic Equations by Factoring
    • Solving Quadratic Equations by Completing the Square
    • Solving Quadratic Equations by the Quadratic Formula

    • 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
  • Relations and Functions
    • Introduction to composite functions
    • Notations and properties of composite functions
    • Functional powers
    • Decomposition of 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
  • Relations and Functions
    • Exponential Functions
    • Exponential Growth
    • Exponential Decay
    • Exponential Equations
  • Relations and Functions
    • Introduction to quadratic functions
    • Forms of quadratic functions
    • Properties of quadratic functions
    • Graphs of quadratic functions
  • Algebra Word Problems


  • 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 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
  • Matrices and Determinants
    • Adding and subtracting matrices
    • Scaler multiplication (multiplying a matrix by a number)
    • Multiplying a matrix by another matrix
    • Matrix row operations
    • Transpose of a matrix
  • 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
  • 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
  • Sequence and Series
    • Identifying Arithmetic Sequence
    • Figuring Out the First x Terms of a Sequence
    • Expression/Rule for the nthterm
    • Finding the Sum of the First n Terms
    • Finding the Sum using Summation Notation
  • Sequence and Series
    • Identifying geometric Sequence
    • Finding the Common Ratio
    • Expression/Rule for the nthterm
    • Finding the Sum of the First n Terms
    • Finding the Sum using Summation Notation
    • Finding the Sum Based on Given a1, an, and r
  • Statistics & Probability
    • Fundamental counting principle
    • Introduction to permutations
    • Formula
    • Finding the number of permutation
    • Difference between permutation and combination
  • Statistics & Probability
    • Introduction to combination
    • Relationship between permutation and combination
    • Formula
    • Finding the number of combination
    • Difference between permutation and combination
  • 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
  • Statistics & Probability
    • Introduction to Normality of Data
    • Bell-Shaped Curve
    • Properties of Normal Distribution
    • Converting Normal Scores to Standard Scores
  • 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
  • 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
  • Conic Sections
    • Finding the Center, Vertices and Co-vertices of Ellipses
    • Finding Axes and Foci of Ellipses
    • Equation of Ellipses
    • Graphing Ellipses
  • 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
  • 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
  • Coordinate Geometry
    • Equations of line
    • Linear equation
    • Standard form
    • Point-Slope form
    • Slope-Intercept form
  • Circles
    • Arc length and radian measure
    • The radian measure of an angle
    • Relationship and conversion between degrees and radians
    • Area of a sector
  • 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
  • Trignometric Functions
    • Six Trigonometric Ratios
    • Relationship between trigonometric ratios
    • Trigonometric Ratios of Complementary Angles
  • 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
  • Trignometric Identities and Equations
    • Reciprocal Identities
    • Pythagorean Identities
    • Sign Identities
    • Cofunction Identities
    • Verify an Identity
  • Trignometric Identities and Equations
    • Introduction to Trignometric Equations
    • Finding Principal Solution of Trigonometric Equations
    • Finding General Solution of Trigonometric Equations
  • Applications of Trignometry
    • Introduction
    • The Law of Sines
    • Applications of the law of sines
  • Applications of Trignometry
    • Introduction
    • The Law of Cosines
    • Applications of the Law of Cosines
    • Area Formulas
  • 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
  • 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