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. .
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Decimals
- Divide Numbers with Decimals to the Tenths
- Divide Numbers with Decimals to the Hundredths
- Divide Numbers with Decimals to the Thousandths
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Properties of Numbers
- Introduction to Prime Factorization
- Finding Prime factors of a number
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Decimals
- Multiplying Numbers with Decimals to the Tenths
- Multiplying Numbers with Decimals to the Hundredths
- Multiplying Numbers with Decimals to the Thousandths
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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
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Integers
- Introduction
- Ordering & comparing integers
- Adding & subtracting integers with same signs
- Adding & subtracting interers with different signs
- Adding & subtacting multiple integers
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Integers
- Multiplying & dividing integers with the same signs
- Multiplying & dividing interers with different signs
- Multiplying & dividing multiple integers
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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
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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
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Fractions
- Addition and Subtraction of Mixed Fractions
- Multiplication and Division of Mixed Fractions
- Order and Compare Mixed Fractions
- Word Problems involving Mixed Fractions
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Rational Numbers
- Add Rational Numbers
- Subtract Rational Numbers
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Rational Numbers
- Multiply Rational Numbers
- Divide Rational Numbers
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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
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Ratios, Rates and Percents
- Introduction to Ratios
- Equivalent Ratios
- Compare Ratios
- Ratios and Rates
- Ratios and Proportions
- Ratios, Rates and Proportions
- Real-World Problems
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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
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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
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Areas and Perimeter
- Introduction to four quadrants
- Plotting a point in coordinate plane
- Plotting polygons in coordinate plane
- Word problems
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Data Analysis
- Introduction to Statistics
- Statistical Questions
- Non-Statistical Question
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Data Analysis & Probability
- Probability of simple events
- Theoritical probability
- Experimental probability
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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
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Expressions, Equations & Inequalities
- Introduction to Linear Inequalities in One Variable
- Solving Simple Linear Inequalities
- Graphical Representation of Linear Inequalities in One Variable
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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
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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
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Angle Pairs
- Introduction to adjacent & vertical angles
- Idenfifying adjacent & vertical angles
- Finding adjacent or vertical angle measues
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Angle Pairs
- Introduction to complementary & supplementary angles
- Identifying complementary & supplementary angles
- Finding missing angle measure
- Parallel lines & traversals
- Angles formed by parallel lines & traversals
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Areas and Perimeter
- Radius & diameter
- Area of circles
- Area of semicircles
- Circumference of circles
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Areas and Perimeter
- Introduction to composite shapes & figures
- Splitting composite figures into non overlapping parts/regions
- Finding area of composite figures
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Data Analysis & Probability
- Histograms
- Line plots
- Box plots
- Stem-and-leaf plots
- Circle graphs
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Irrational Numbers
- Introduction & properties of irrational numbers
- Identifying irrational numbers
- Comparing irrational numbers
- Sum & properties of irrational numbers
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Exponents and Indices
- Introduction
- Negative exponents
- Adding & subtracting exponents
- Multiplying & dividing exponents
- Power of exponents
- Scientific notations
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- Introduction to Scientitfic Notations
- Numbers in Scientific Notations
- Numbers in Standard Forms
- Comparision of Numbers in Scientific Notations
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Irrational Numbers
- Exact square & cube roots
- Approximating square & cube roots
- Simplifying square & cube roots
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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
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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
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Relations and Functions
- Finding the domain of functions
- Determining the range of functions
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Relations and Functions
- Identifying linear & non-linear functions
- Evaluating linear & non-linear functions
- Rate of change
- Increasing & decreasing functions
- Positive & negatvie intervals
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Right Angles
- Introduction
- Finding length of hytotenuse
- Finding missing leg's legth
- Real life examples & uses of Pythagorean theorem
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Transformation
- Introduction
- Identifying translations
- Translating points
- Translating shapes
- Images after translation
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Transformation
- Introduction
- Indentifying rotations
- Rotaion point
- Center of rotation
- Direction and degree of rotation
- Images after rotation
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Transformation
- Introduction
- Indentifying reflection
- Reflection over X & Y axis
- Points after reflection
- Images after reflection
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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
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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
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Algebraic Fractions
- Fractions in Algebra
- Adding and Subtracting Algebraic Fractions
- Multiplying and Dividing Algebraic Fractions
- Simplifying/Reducing Algebraic Fractions
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Linear Equations & Inequalities
- Writing Equations in Slope-Intercept Form
- Writing Equations in Point-Slope Form
- Scattered Plots & Lines of Fit
- Parallel and Perpendicular Lines
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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
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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
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Radical Expressions
- Adding and Subtracting Radical Expressions with Like Radicand
- Adding and Subtracting Radical Expressions with Unlike Radicand
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Radical Expressions
- Product and Quotient Rule
- Multiplying Radical Expression
- Rationalizing the Denominators
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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
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Monomials, Polynomials & Factoring
- Introduction to Monomials
- Adding and Subtracting Monomials
- Multiplying Monomials
- Dividing Monomials
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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
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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
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Quadratic Systems
- Solving Quadratic Equations by Factoring
- Solving Quadratic Equations by Completing the Square
- Solving Quadratic Equations by the Quadratic Formula
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- 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
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Relations and Functions
- Introduction to composite functions
- Notations and properties of composite functions
- Functional powers
- Decomposition of functions
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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
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Relations and Functions
- Exponential Functions
- Exponential Growth
- Exponential Decay
- Exponential Equations
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Relations and Functions
- Introduction to quadratic functions
- Forms of quadratic functions
- Properties of quadratic functions
- Graphs of quadratic functions
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Algebra Word Problems
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Rational Expressions
- Multiplying rational expressions
- Dividing rational expressions
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Rational Expressions
- Adding rational expressions
- Subtracting rational expressions
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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)
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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
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Complex Numbers
- Adding and subtracting complex numbers
- Operations with complex number
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Complex Numbers
- Complex conjugates
- Multiplying and dividing complex numbers
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Complex Numbers
- Operations with complex number
- Simplifying complex numbers
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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
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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
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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
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Sequence and Series
- Identifying Arithmetic Sequence
- Figuring Out the First x Terms of a Sequence
- Expression/Rule for the term
- Finding the Sum of the First n Terms
- Finding the Sum using Summation Notation
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Sequence and Series
- Identifying geometric Sequence
- Finding the Common Ratio
- Expression/Rule for the term
- Finding the Sum of the First n Terms
- Finding the Sum using Summation Notation
- Finding the Sum Based on Given
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Statistics & Probability
- Fundamental counting principle
- Introduction to permutations
- Formula
- Finding the number of permutation
- Difference between permutation and combination
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Statistics & Probability
- Introduction to combination
- Relationship between permutation and combination
- Formula
- Finding the number of combination
- Difference between permutation and combination
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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
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Statistics & Probability
- Introduction to Normality of Data
- Bell-Shaped Curve
- Properties of Normal Distribution
- Converting Normal Scores to Standard Scores
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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
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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
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Conic Sections
- Finding the Center, Vertices and Co-vertices of Ellipses
- Finding Axes and Foci of Ellipses
- Equation of Ellipses
- Graphing Ellipses
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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
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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
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Congruence & Similarity
- Ratios and proportions
- Properties of proportions
- Similar polygons
- Proportional parts and lengths
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Coordinate Geometry
- Equations of line
- Linear equation
- Standard form
- Point-Slope form
- Slope-Intercept form
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Circles
- Arc length and radian measure
- The radian measure of an angle
- Relationship and conversion between degrees and radians
- Area of a sector
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Circles
- Arcs and chords
- Angles by Chords, Secants, or Tangents
- Segments of Chords, Secants, and Tangents
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Circles
- Central angles
- Arcs
- Inscribed angles
- Intercepted arcs
- Angles forrmed by a tangent and a chord
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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
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Trignometric Functions
- Six Trigonometric Ratios
- Relationship between trigonometric ratios
- Trigonometric Ratios of Complementary Angles
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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
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Trignometric Identities and Equations
- Reciprocal Identities
- Pythagorean Identities
- Sign Identities
- Cofunction Identities
- Verify an Identity
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Trignometric Identities and Equations
- Introduction to Trignometric Equations
- Finding Principal Solution of Trigonometric Equations
- Finding General Solution of Trigonometric Equations
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Applications of Trignometry
- Introduction
- The Law of Sines
- Applications of the law of sines
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Applications of Trignometry
- Introduction
- The Law of Cosines
- Applications of the Law of Cosines
- Area Formulas
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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
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Limits and Continuity
- Introduction to Limits
- Properties of Limits
- Sum Rule
- Difference Rule
- Product of Two Functions Rule
- Product of a Function with a Constant Rule
- Division Rule
- Evaluating Limits by Direct Substitution Method
- Evaluating Limits by Factorization Method
- Evaluating Limits by Rationalization Method
- Evaluating Limits by Reducing to Standard Form
- Evaluating Limits by L’Hospital’s Rule
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Limits and Continuity
- Introduction to One-sided Limits
- Evaluating One-sided Limits
- Left-hand Limit (LHL)
- Right-hand Limit (RHL)
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Limits and Continuity
- Introduction to Limits Involving Infinity
- Horizontal Asymptotes
- Vertical Asymptotes
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Differential Calculus
- Introduction to Derivatives
- Differentiation Rules
- Derivative of a Constant
- Derivative of a Power
- Derivative of a Sum or Difference
- Derivative of Quotient
- Derivative of a Product
- Chain Rule
- Derivative of Exponential and Logarithmic Functions
- Derivative of Trigonometric Functions
- Higher Order Derivatives
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Integral Calculus
- Introduction
- Fundamental Theorem of Calculus
- Properties of Definite Integrals
- Evaluation of Definite Integral by Substitution
- Computing Areas by Definite Integral
- Computing Area under a Curve
- Computing Area Between Two Intersecting Curves
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Relations and Functions
Continuous Function
- Introduction to continuous functions
- Discontinuous functions
- Types of discontinuities
- Removable discontinuity
- Jump discontinuity
- Infinite discontinuity
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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
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- Introduction to Polynomial Function
- Linear Factors
- Remainder Theorem
- Zeros of a Function
- Rational Zeros Theorem
- Graphing and Transformation of Polynomial Functions