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Trying to figure out a perfect source online so that your kid can learn Math. Look no further as you have landed on the right place and your kid will excel in math rather than learning. We at ccssmathanswers take every effort and utmost care so that your kid will grow. 9th Grade Students can find all the concepts as per the Common Core State Standards Curriculum. You can learn the Math Concepts in the comfort of your home. 9th Grade Math Topics will emphasize a conceptual understanding rather than repetitive drills.

Ninth Grade Math Lessons, Practice Test, Worksheets, Textbook Questions and Answer Key

We develop a visually intuitive learning system and provide you world-class education right from your home itself. You can enhance your math proficiency by consistently practicing from the Grade 9 Math Pages available. In fact, our Grade 9 Math Worksheets help you test your knowledge and bridge the knowledge gap accordingly. Once you start solving the 9th Grade Textbook Solutions you will witness the Mathemagic happen. Simply click on the direct links available for corresponding topics and allot time to the areas you feel difficult.

Arithmetic

Rational Numbers

• Rational Numbers
• Decimal Representation of Rational Numbers
• Rational Numbers in Terminating and Non-Terminating Decimals
• Recurring Decimals as Rational Numbers
• Laws of Algebra for Rational Numbers
• Comparison between Two Rational Numbers
• Rational Numbers Between Two Unequal Rational Numbers
• Representation of Rational Numbers on Number Line
• Problems on Rational numbers as Decimal Numbers
• Problems Based On Recurring Decimals as Rational Numbers
• Problems on Comparison Between Rational Numbers
• Problems on Representation of Rational Numbers on Number Line
• Worksheet on Rational Number as Decimal Numbers
• Worksheet on Recurring Decimals as Rational Numbers
• Worksheet on Comparison between Rational Numbers
• Worksheet on Representation of Rational Numbers on the Number Line

Irrational Numbers

• Definition of Irrational Numbers
• Decimal Representation of Irrational Number
• Representation of Irrational Numbers on The Number Line
• Comparison between Two Irrational Numbers
• Comparison between Rational and Irrational Numbers
• Real number between Two Unequal Real Numbers
• Rationalization
• Problems on Irrational Numbers
• Problems on Rationalizing the Denominator
• Worksheet on Irrational Numbers
  

Profit and Loss

• Cost Price, Selling Price, and Rates of Profit and Loss
• Problems on Cost Price, Selling Price and Rates of Profit and Loss
• Understanding Overheads Expenses
• Worksheet on Cost Price, Selling Price and Rates of Profit and Loss
• Understanding Discount and Mark Up
• Successive Discount
• Worksheet on Discount and Markup
• Worksheet on the application of overhead Expenses
• Worksheet on Successive Discounts
  

Compound Interest

• Introduction to Compound Interest
• Compound Interest as Repeated Simple Interest
• Formulae for Compound Interest
• Comparison between Simple Interest and Compound Interest
• Worksheet on Compound Interest as Repeated Simple Interest
• Worksheet on Use of Formula for Compound Interest

Algebra/Linear Algebra

Expansion of Powers of Binomials and Trinomials

• Expansion of (a ± b)^2
• Expansion of (a ± b ± c)^2
• Expansion of (x ± a)(x ± b)
• Express a^2 + b^2 + c^2 – ab – bc – ca as Sum of Squares
• Completing a Square
• Simplification of (a + b)(a – b)
• Application Problems on Expansion of Powers of Binomials and Trinomials
• Worksheet on Expansion of (a ± b)^2 and its Corollaries
• Worksheet on Expanding of (a ± b ± c)^2 and its Corollaries
• Worksheet on Expansion of (x ± a)(x ± b)
• Worksheet on Completing Square
• Worksheet on Simplification of (a + b)(a – b)
• Worksheet on Application Problems on Expansion of Powers of Binomials and Trinomials
• Expansion of (a ± b)^3
• Simplification of (a ± b)(a^2 ∓ ab + b^2)
• Simplification of (a + b + c)(a^2 + b^2 + c^2 – ab – bc – ca)
• Expansion of (x + a)(x + b)(x + c)
• Problems on Expanding of (a ± b)^3 and its Corollaries

Factorization

• Introduction to Factorization
• Problems on Factorization by Grouping of Terms
• Problems on Factorization of Expressions of the Form a^2 – b^2
• Problems on Factorization Using a^2 – b^2 = (a + b)(a – b)
• Factorization of a Perfect-square Trinomial
• Factorization of Expressions of the Form x^2 + (a + b)x + ab
• Factorization of Expressions of the Form ax^2 + bx + c, a ≠ 1
• Problems on Factorization of Expressions of the Form x^2 +(a + b)x +ab
• Worksheet on Factorization of the Trinomial ax^2 + bx + c
• Factorization of Expressions of the Form a^3 + b^3
• Factorization of Expressions of the Form a^3 – b^3
• Factorization of expressions of the Form a^3 + b^3 + c^3 – 3abc
• Factorization of Expressions of the Form a^3 + b^3 + c^3, a + b + c = 0
• Miscellaneous Problems on Factorization
• Worksheet on Factorization

Linear Equations

• Linear Equation in One Variable
• Solution of a Linear Equation in One Variable
• Laws of Equality
• Method of Solving a Linear Equation in One Variable
• Problems on Application of Linear Equations
• Different Types of Problems in Linear Equation in One Variable
• Worksheet on Linear Equation in One Variable
• Worksheet on Forming of Linear Equations in One Variable
• Worksheet on Solving a Word Problem by using Linear Equation in One Unknown

Changing the Subject of a Formula

• Establishing an Equation
• Subject of a Formula
• Change of Subject of Formula
• Evaluation of Subject by Substitution
• Problem on Change the Subject of a Formula
• Worksheet on Framing a Formula
• Worksheet on Change of Subject

Simultaneous Linear equations

• Solution of a Linear Equation in Two Variables
• Method of Elimination
• Method of Substitution
• Method of Cross Multiplication

Exponents/Indices

• Power of a Number
• Laws of Indices
• nth Root of a

Quadratic Equation

• Introduction to Quadratic Equation
• Formation of Quadratic Equation in One Variable
• Solving Quadratic Equations
• General Properties of Quadratic Equation
• Methods of Solving Quadratic Equations
• Roots of a Quadratic Equation
• Examine the Roots of a Quadratic Equation
• Problems on Quadratic Equations
• Quadratic Equations by Factoring
• Word Problems Using Quadratic Formula
• Examples on Quadratic Equations
• Word Problems on Quadratic Equations by Factoring
• Worksheet on Formation of Quadratic Equation in One Variable
• Worksheet on Quadratic Formula
• Worksheet on Nature of the Roots of a Quadratic Equation
• Worksheet on Word Problems on Quadratic Equations by Factoring

Geometry and Measurement

• Triangles
• Classification of Triangles on the Basis of Their Sides and Angles
• Medians and Altitudes of a Triangle
• Geometrical Property of Altitudes
• Properties of Angles of a Triangle
• Congruency of Triangles
• Criteria for Congruency
• Problems on Congruency of Triangles
• Any point on the bisector of an angle is equidistant from the arms of that angle
• An Altitude of an Equilateral Triangle is also a Median
• Bisectors of the Angles of a Triangle Meet at a Point
• Application of Congruency of Triangles
• Angles Opposite to Equal Sides of an Isosceles Triangle are Equal
• Equal Sides of an Isosceles Triangle are Produced, the Exterior Angles angles are equal.
• The Three Angles of an Equilateral Triangle are Equal.
• Sides Opposite to the Equal Angles of a Triangle are Equal
• Three Angles of an Equilateral Triangle are Equal
• Problems on Properties of Isosceles Triangles
• Problem on Two Isosceles Triangles on the Same Base
• Lines Joining the Extremities of the Base of an Isosceles Triangle
• Points on the Base of an Isosceles Triangle
• Theorem on Isosceles Triangle

Inequalities in Triangles

• Greater Side has the Greater Angle Opposite to It
• Greater Angle has the Greater Side Opposite to It
• The Sum of any Two Sides of a Triangle is Greater than the Third Side
• Perpendicular is the Shortest Theorem
• Comparison of Sides and Angles in a Triangle
• Problem on Inequalities in Triangle
• Sum Of Any Two Sides Is Greater Than Twice The Median
• Sum of the Four Sides of a Quadrilateral Exceeds the Sum of the Diagonals

Midpoint Theorem

• Midpoint Theorem
• Converse of Midpoint Theorem
• Four Triangles which are Congruent to One Another
• Straight Line Drawn from the Vertex of a Triangle to the Base
• Midpoint Theorem on Trapezium
• Midsegment Theorem on Trapezium
• Midpoint Theorem on Right-angled Triangle
• Collinear Points Proved by Midpoint Theorem
• Equal Intercepts Theorem
• Problems on Equal Intercepts Theorem
• Midpoint Theorem by using the Equal Intercepts Theorem
• Proof By the Equal Intercepts Theorem

Similarity

• Enlargement Transformation
• Reduction Transformation
• Properties of Size Transformation
• Similar Triangles
• Criteria of Similarity between Triangles
• AA Criterion of Similarity
• Basic Proportionality Theorem
• Converse of Basic Proportionality Theorem
• Application of Basic Proportionality Theorem
• Greater segment of the Hypotenuse is Equal to the Smaller Side of the Triangle
• AA Criterion of Similarly on Quadrilateral
• Pythagoras’ Theorem
• Converse of Pythagoras’ Theorem
• Applying Pythagoras’ Theorem
• Riders Based on Pythagoras’ Theorem

Rectilinear Figures

• Rectilinear Figures
• Sum of the Interior Angles of an n-sided Polygon
• Sum of the Exterior Angles of an n-sided Polygon

Parallelogram

• Concept of Parallelogram
• Opposite Sides of a Parallelogram are Equal
• Opposite Angles of a Parallelogram are Equal
• Diagonals of a Parallelogram Bisect Each Other
• A Quadrilateral is a Parallelogram if its Diagonals Bisect Each Other
• Pair of Opposite Sides of a Parallelogram are Equal and Parallel
• A Rhombus is a Parallelogram whose Diagonals Meet at Right Angles
• A Parallelogram whose Diagonals Intersect at Right Angles is a Rhombus
• In a Rectangle the Diagonals are of Equal Lengths
• A Parallelogram, whose Diagonals are of Equal Length, is a Rectangle
• Diagonals of a Square are Equal in Length & they Meet at Right Angles
• Diagonals of a Parallelogram are Equal & Intersect at Right Angles
• Conditions for Classification of Quadrilaterals and Parallelograms
• Bisectors of the Angles of a Parallelogram form a Rectangle

Area

• Area of a Closed Figure
• Base and Height (Altitude) in a Triangle and a Parallelogram
• Every Diagonal of a Parallelogram Divides it into Two Triangles of Equal Area
• Parallelogram on the Same Base and Between the Same Parallel Lines are Equal in Area
• Area of a Parallelogram is Equal to that of a Rectangle Between the Same Parallel Lines
• Area of a Triangle is Half that of a Parallelogram on the Same Base and between the Same Parallels
• Triangles on the Same Base and between the Same Parallels are Equal in Area
• Triangles with Equal Areas on the Same Base have Equal Corresponding Altitudes
• Problems on Finding Area of Triangle and Parallelogram
• Area of the Triangle formed by Joining the Middle Points of the Sides of a Triangle is Equal to One-fourth Area of the given Triangle
• The Area of a Rhombus is Equal to Half the Product of its Diagonals
• If Each Diagonal of a Quadrilateral Divides it in Two Triangles of Equal Area then Prove that the Quadrilateral is a Parallelogram

Statistics

• Statistics and Statistical Data
• Representation of Data
• Statistical Variable
• Range of the Statistical Data
• Frequency of the Statistical Data
• Mean of Ungrouped Data
• Arithmetic Mean
• Word Problems on Arithmetic Mean
• Properties of Arithmetic Mean
• Problems Based on Average
• Problems on Mean of Ungrouped Data
• Properties Questions on Arithmetic Mean
• Median of Raw Data
• Problems on Median of Ungrouped Data
• Worksheet on Mean of Ungrouped Data
• Worksheet on Median of Ungrouped Data
• Frequency Distribution
• Class Interval
• Tally Marks
• Constructing Frequency Distribution Tables
• Class Limits
• Class Boundaries
• Nonoverlapping Class Intervals into Overlapping Class Intervals
• Cumulative Frequency

Mensuration

Plane Figures

• Perimeter and Area of Plane Figures
• Perimeter and Area of a Rectangle
• Geometrical Properties of a Square
• Perimeter and Area of a Triangle
• Perimeter and Area of Mixed Figures
• Perimeter and Area of Rhombus
• Perimeter and Area of Parallelogram
• Perimeter and Area of Irregular Figures
• Perimeter and Area of Regular Hexagon
• Area and Circumference of a Circle
• Area of a Circular Ring
• Area and Perimeter of a Semicircle
• Area and Perimeter of Combined Figures

Solid Figures

Cube and Cuboid

• Solid Figures
• Volume and Surface Area of Cuboid
• Volume and Surface Area of Cube
• Volume and Surface Area of Cube and Cuboid
• Volume of Cuboid
• Volume of Cube
• Lateral Surface Area of a Cuboid

Cylinder

• Cross Section
• Cylinder
• Right Circular Cylinder
• Hollow Cylinder
• Problems on Right Circular Cylinder

Probability

• Probability
• Random Experiments
• Experimental Probability
• Events in Probability
• Empirical Probability
• Coin Toss Probability
• Probability of Tossing Two Coins
• Probability of Tossing Three Coins
• Complimentary Events
• Mutually Exclusive Events
• Mutually Non-Exclusive Events
• Conditional Probability
• Theoretical Probability
• Odds and Probability
• Playing Cards Probability
• Probability and Playing Cards
• Probability for Rolling Two Dice
• Solved Probability Problems
• Probability for Rolling Three Dice

Pre-Calculus

Mathematical Models with Applications

Basic Trigonometry

• Trigonometry
• Measurement of Trigonometric Angles
• Sexagesimal System
• Circular System
• Radian is a Constant Angle
• Relation between Sexagesimal and Circular
• Conversion from Sexagesimal to Circular System
• Conversion from Circular to Sexagesimal System

Coordinate Geometry

• Independent Variables and Dependent Variables
• Coordinates of a Point
• Rectangular Cartesian Coordinates of a Point
• Quadrants and Convention for Signs of Coordinates
• Plotting a Point in Cartesian Plane
• Coordinate Geometry Graph
• Graph of Standard Linear Relations Between x, y
• Slope of the Graph of y = mx + c
• y-intercept of the Graph of y = mx + c
• Drawing Graph of y = mx + c Using Slope and y-intercept
• Problems on Plotting Points in the x-y Plane
• Problems on Slope and Y-intercept
• Worksheet on Plotting Points in the Coordinate Plane
• Worksheet on Graph of Linear Relations in x, y
• Worksheet on Slope and Y-intercept

Goals & Objectives of Ninth Grade Math Curriculum

The comprehensive collection of Ninth Grade Math Topics listed here focuses on the below areas. They are as such

• 9th Grade Math Concepts focuses on Algebra 1 and includes advanced mathematical concepts such as Geometry, Pre Calculus, Trigonometry, etc.
• Children must be able to Rearrange and Solve Basic Algebraic Equations.
• Ninth Graders must understand concepts completely before moving on so that they don’t feel lost and confused.
• Develops strong fundamentals that are useful for High School.
• Clear Cut Explanations provided for all the Problems makes it easy for you to grasp the techniques and formulas quickly.

Why Choose our Grade 9 Math Curriculum?

Master the concepts of Grade 9 Math Lessons and learn the benefits of following the Ninth Grade Math Curriculum. They are as under

• Lesson Plans, Assessment Tests, help you master the concepts and achieve learning targets easily.
• Ninth Grade Math Worksheets, Lessons, etc. created helps your child achieve success in Mathematics.
• Practice Tests of Grade 9 help you remediate the knowledge gap and provides a Standardized Test Environment.
• All the 9th Standard Math Concepts, Pages explained are as per the latest syllabus guidelines.
• Our Learning Material Provided engages the students irrespective of the learning methods adopted

Conclusion

We as a team believe the knowledge shared about Grade 9 Math is true and genuine. Do leave us your suggestions via the comment section so that our experts can look into them. Stay connected to our site to avail latest information on Gradewise Math Topics at your fingertips.

With our 10th Grade Math Topics, your kid will learn the key algebra concepts and skills needed. If you have any doubts on what a 10th Grader must know then follow the 10th Grade Math Curriculum. Determine Progress and build on Knowledge and expand the skillset. Attempt the exam with utmost confidence and Achieve Success in your learning path. Hone your skills and enhance your Math Proficiency and score better grades in the exam.

Tenth Grade Math Lessons, Practice Test, Worksheets, Textbook Questions and Answer Key

For the sake of your comfort, we have curated the Tenth Grade Math Topics adhering to the syllabus guidelines. All you have to do is just tap on the quick links available and learn the concepts quite easily. Practicing from the 10th Grade Math Lessons you can understand the concepts quite easily and build confidence too. Solving regularly from the Tenth Grade Math Worksheets you can assess your preparation level from time to time and improvise on the areas accordingly.

Commercial Mathematics

Compound Interest

• Compound Interest Definition
• Compound Interest
• Compound Interest with Growing Principal
• Compound Interest with Periodic Deductions
• Compound Interest by Using Formula
• Compound Interest when Interest is Compounded Yearly
• Compound Interest when Interest is Compounded Half-Yearly
• Compound Interest when Interest is Compounded Quarterly
• Problems on Compound Interest
• Variable Rate of Compound Interest
• Difference of Compound Interest and Simple Interest
• Practice Test on Compound Interest
• Uniform Rate of Growth
• Uniform Rate of Depreciation
• Uniform Rate of Growth and Depreciation

Sales Tax and Value Added Tax

• • Calculation of Sales Tax
  • Sales Tax in a Bill
  • Mark-ups and Discounts Involving Sales Tax
  • Profit Loss Involving Tax
  • Value Added Tax
  • Problems on Value Added Tax (VAT)
  • Worksheet on Printed Price, Rate of Sales Tax and Selling Price
  • Worksheet on Profit/Loss Involving Sales Tax
  • Worksheet on Sales Tax and Value-added Tax
  • Worksheet on Mark-ups and Discounts Involving Sales Tax

Shares and Dividends

• Share and Value of Shares
• Dividend and Rate of Dividend
• Calculation of Income, Return, and Number of Shares
• Problems on Income and Return from Shares
• Problems on Shares and Dividends
• Worksheet on Basic Concept on Shares and Dividends
• Worksheet on Income and Return from Shares
• Worksheet on Share and Dividend

Algebra/Linear Algebra

Linear Inequations in One Variable(Unknown)

• Linear Inequation in One Variable
• Laws of Inequality
• Replacement Set and Solution Set in Set Notation
• Difference Between Equation and Inequation
• Solving a Linear Inequation Algebraically
• Problems on Law of Inequality
• Problems on Linear Inequation
• Worksheet on Laws of Inequality
• Worksheet on Solution of a Linear Inequation in One Variable

Quadratic Equation

• Introduction to Quadratic Equation
• Formation of Quadratic Equation in One Variable
• Solving Quadratic Equations
• General Properties of Quadratic Equation
• Methods of Solving Quadratic Equations
• Roots of a Quadratic Equation
• Examine the Roots of a Quadratic Equation
• Problems on Quadratic Equations
• Quadratic Equations by Factoring
• Word Problems Using Quadratic Formula
• Examples on Quadratic Equations
• Word Problems on Quadratic Equations by Factoring
• Worksheet on Formation of Quadratic Equation in One Variable
• Worksheet on Quadratic Formula
• Worksheet on Nature of the Roots of a Quadratic Equation
• Worksheet on Word Problems on Quadratic Equations by Factoring

Factorization

• Polynomial
• Polynomial Equation and its Roots
• Division Algorithm
• Remainder Theorem
• Problems on Remainder Theorem
• Factors of a Polynomial
• Worksheet on Remainder Theorem
• Factor Theorem
• Application of Factor Theorem

Ratio and Proportion

• Basic Concept of Ratios
• Important Properties of Ratios
• Ratio in Lowest Term
• Types of Ratios
• Comparing Ratios
• Arranging Ratios
• Dividing into a Given Ratio
• Divide a Number into Three Parts in a Given Ratio
• Dividing a Quantity into Three Parts in a Given Ratio
• Problems on Ratio
• Worksheet on Ratio in Lowest Term
• Worksheet on Types of Ratios
• Worksheet on Comparison on Ratios
• Worksheet on Ratio of Two or More Quantities
• Worksheet on Dividing a Quantity in a Given Ratio
• Word Problems on Ratio
• Proportion
• Definition of Continued Proportion
• Mean and Third Proportional
• Word Problems on Proportion
• Worksheet on Proportion and Continued Proportion
• Worksheet on Mean Proportional
• Properties of Ratio and Proportion

Matrix

• Definition of a Matrix
• Order of a Matrix
• Position of an Element in a Matrix
• Classification of Matrices
• Problems on Classification of Matrices
• Square Matrix
• Row Matrix
• Column Matrix
• Null Matrix
• Equal Matrices
• Identity (or Unit) Matrix
• Triangular Matrix
• Addition of Matrices
• Addition of Two Matrices
• Properties of Addition of Matrices
• Negative of a Matrix
• Subtraction of Matrices
• Subtraction of Two Matrices
• Scalar Multiplication of a Matrix
• Multiplication of a Matrix by a Number
• Properties of Scalar Multiplication of a Matrix
• Multiplication of Matrices
• Multiplication of Two Matrices
• Problems on Understanding Matrices
• Worksheet on Understanding Matrix
• Worksheet on Addition of Matrices
• Worksheet on Matrix Multiplication
• Worksheet on Matrix

Reflection and Coordinate Geometry

Reflection

• Position of a Point in a Plane
• Reflection of a Point in a Line
• Reflection of a Point in the x-axis
• Reflection of a Point in the y-axis
• Reflection of a Point in the Origin
• Reflection of a Point in a Line Parallel to the x-axis
• Reflection of a Point in a Line Parallel to the y-axis
• Problems on Reflection in the x-axis or y-axis
• Invariant Points for Reflection in a Line
• Reflection in Lines Parallel to Axes
• Worksheet on Reflection in the Origin

Distance and Section Formulae

• Distance Formula
• Distance Properties in some Geometrical Figures
• Conditions of Collinearity of Three Points
• Problems on Distance Formula
• Distance of a Point from the Origin
• Distance Formula in Geometry
• Section Formula
• Midpoint Formula
• Centroid of a Triangle
• Worksheet on Distance Formula
• Worksheet on Collinearity of Three Points
• Worksheet on Finding the Centroid of a Triangle
• Worksheet on Section Formula

Equation of a Straight Line

• Inclination of a Line
• Slope of a Line
• Intercepts Made by a Straight Line on Axes
• Slope of the Line Joining Two Points
• Equation of a Straight Line
• Slope-intercept Form of a Straight Line
• Point-slope Form of a Line
• Two-point Form of a Line
• Equally Inclined Lines
• Slope and Y-intercept of a Line
• Condition of Perpendicularity of Two Straight Lines
• Condition of parallelism
• Problems on Condition of Perpendicularity
• Worksheet on Slope and Intercepts
• Worksheet on Slope Intercept Form
• Worksheet on Two-point Form
• Worksheet on Point-slope Form
• Worksheet on Collinearity of 3 Points
• Worksheet on Equation of a Straight Line

Geometry and Measurement

Loci

• Concept of loci
• Theorems on Locus of a Point which is Equidistant from Two Fixed Points

Properties of Tangents

• Secant and Tangent
• Common Tangents to Two Circles
• Tangent – Perpendicular to Radius
• Two Circles Touch each Other
• Two Tangents from an External Point
• Angles between the Tangent and the Chord
• Problems on Properties on Tangents
• Chord and Tangent Intersect Externally
• Direct Common Tangents
• Important Properties of Direct Common Tangents
• Transverse Common Tangents
• Important Properties of Transverse Common Tangents
• Examples of Loci Based on Circles Touching Straight Lines or Other Circles
• Circumcircle of a Triangle
• Incircle of a Triangle
• Circumcentre and Incentre of a Triangle
• Solved on the Basic Properties of Tangents
• Problems on Two Tangents to a Circle from an External Point
• Two Tangents are Drawn to a Circle from an External Point
• Two Parallel Tangents of a Circle Meet a Third Tangent
• Contact of Two Circles
• Tangent is Parallel to a Chord
• Measure of the Angles of the Cyclic Quadrilateral
• Problems on Relation Between Tangent and Secant
• Problems on Common Tangent to Two Circles

Area and Perimeter of a Circle

• • Area and Perimeter of a Circle
  • Area and Perimeter of a Sector of a Circle
  • Area and Perimeter of a Semicircle and Quadrant of a Circle
  • Area of Combined Figures
  • Area of the Shaded Region
  • Find the Area of the Shaded Region
  • Application Problems on Area of a Circle

Trigonometry

Trigonometrical Ratios and Identities

• Basic Trigonometric Ratios
• Relations Between the Trigonometric Ratios
• Properties of Trigonometrical Ratios
• Problems on Trigonometric Ratios
• Reciprocal Relations of Trigonometric Ratios
• Trigonometrical Identity
• Problems on Trigonometric Identities
• Elimination of Trigonometric Ratios
• Eliminate Theta between the equations
• Problems on Eliminate Theta
• Trig Ratio Problems
• Proving Trigonometric Ratios
• Trig Ratios Proving Problems
• Verify Trigonometric Identities
• Trigonometric Identities
• Elimination of Unknown Angles
• Finding the Unknown Angle
• Worksheet on Trigonometric Identities
• Worksheet on Evaluation Using Trigonometric Identities
• Worksheet on Establishing Conditional Results
• Worksheet on Elimination of Unknown Angle(s)
• Worksheet on Finding the Unknown Angle
• Problems on Relation between the Ratios

Trigonometric Ratios of Complementary Angles

• Complementary Angles and their Trigonometric Ratios
• Worksheet on Evaluation using Trigonometric Ratios of Complementary Angles
• Worksheet on Establishing Equality using Trigonometric Ratios of Complementary Angles
• Worksheet on Establishing Identities and Simplification Using Trigonometric Ratios of Complementary Angles

Height and Distance

• Angle of Elevation
• Angle of Depression
• Height and Distance with Two Angles of Elevation
• Finding sin Value from Trigonometric Table
• Finding cos Value from Trigonometric Table
• Finding tan Value from Trigonometric Table
• Worksheet on Heights and Distances

Statistics and Probability

Graphical Representation

• Histogram
• Frequency Polygon
• Method of Constructing a Frequency Polygon with the Help of a Histogram
• Method of Constructing Frequency Polygon with the Help of Class Marks
• Cumulative-Frequency Curve
• Problems on Histogram
• Problems on Frequency Polygon
• Problems on Cumulative-Frequency Curve

Measures of Central Tendency

• Mean of Ungrouped Data
• Problems on Mean of Ungrouped Data
• Mean of Grouped Data
• Mean of Classified Data
• Step-deviation Method
• Finding the Mean from Graphical Representation
• Worksheet on Finding the Mean of Raw Data
• Worksheet on Finding the Mean of Arrayed Data
• Worksheet on Finding the Mean of Arrayed Data
• Median of Raw Data
• Problems on Median of Raw Data
• Finding the Median of Grouped Data
• Lower Quartile and the Method of Finding it for Raw Data
• Upper Quartile and the Method of Finding it for Raw Data
• Find the Quartiles for Arrayed Data
• Range and Interquartile Range
• Median Class
• Estimate Median, Quartiles from Ogive
• Worksheet on Finding the Median of Raw Data
• Worksheet on Finding the Median of Arrayed Data
• Worksheet on Finding the Quartiles & Interquartile Range of Raw Data
• Worksheet on Estimating Median and the Quartiles using Ogive

Probability

• Probability
• Definition of Probability
• Random Experiments
• Experimental Probability
• Events in Probability
• Empirical Probability
• Coin Toss Probability
• Probability of Tossing Two Coins
• Probability of Tossing Three Coins
• Complimentary Events
• Mutually Exclusive Events
• Mutually Non-Exclusive Events
• Conditional Probability
• Theoretical Probability
• Odds and Probability
• Playing Cards Probability
• Probability and Playing Cards
• Probability Rolling a Die
• Probability for Rolling Two Dice
• Probability for Rolling Three Dice
• Solved Probability Problems
• Probability Questions Answers
• Coin Toss Probability Worksheet
• Worksheet on Playing Cards
• 10th Grade Worksheet on Probability

Goals & Objectives of 10th Grade

Below is the list of objectives that a 10th Grader must meet by the end of the year. They are in the following fashion

• Analyze descriptions and diagrams that illustrate postulates about points, lines, and planes.
• Decompose 2-D Figures.
• Interpret Union and Intersection of Sets using Set Notation and Venn Diagrams.
• Prove Angle Relationships given parallel lines cut by a transversal.

Why Choose 10th Grade Math Curriculum?

• You can access the Grade 10 Lessons 24/7 so that your child can work even after school.
• All the Grade 10 Math Topics provided are as per the latest Common Core State Standards syllabus guidelines.
• Visually appealing lessons and hands-on activities make it easy for you to learn math in a fun and engaging way.
• Detailed concepts provided helps students better understand them and get a good hold of them.

Final Words

We as a team believe the knowledge shared about Grade 10 Math Topics has helped you to a possible extent. In case of any further assistance needed do leave us your doubts so that we can look into them. Keep connected to our site to avail updates on Gradewise Math Articles in split seconds.

• Go Math Grade 6 Answer Key
• Big Ideas Math Grade 6 Answer Key
• Eureka Math Grade 6 Answer Key

In Grade 6 a lot of topics are covered from Grade 5 but with more depth. Applied Math Concepts like percentages, profit and loss, ratio, and proportions are introduced in 6th Grade. You will get acquainted with concepts of linear equations and algebraic expressions. Worry not, we are here to assist you with the concepts and help you to ace the curriculum without any difficulty.

Students encounter problems on the road to math Proficiency. This is especially true in Grade 6 when complicated theories and models are introduced from all directions. Our experts can make a difference in your learning and help your child overcome the fear of Math.

6th Grade Math Solutions and Topics

We have compiled the Grade 6 Math Practice Problems covering the entire curriculum. All you have to do is simply tap on the 6th Grade concepts you would like to prepare and learn them accordingly. Identify the areas of need and improvise on them accordingly. Interpret and Compute different types of problems easily. You can have an easy transition from Grade 5 to Grade 6 and all the Grade 6 Topics, Problems, Worksheets made available help you to learn something new.

• Numbers
• Estimate
• Estimate – Worksheets
• Natural Numbers
• Whole Numbers
• Fraction
• Number Line
• Number Line – Worksheets
• Profit and Loss
• Profit and Loss – Worksheets
• Ratios and Proportions
• Ratios and Proportions – Worksheets
• Literal Numbers
• Literal Numbers Worksheets
• Constants and Variables
• Terms
• Terms Worksheets
• Coefficient
• Terms of an Algebraic Expression
• Terms of an Algebraic Expression – Worksheet

Grade 6 Concepts

• Decimal Fractions with 10 as Denominator
• Decimal Fractions with 100 as Denominator
• Decimal Fractions with 1000 as Denominator
• Integers and the Number Line
• Ordering Integers
• Use of Integers
• Use of Integers as Directed Numbers
• Adding Integers
• Properties of Adding Integers
• Subtracting Integers
• Properties of Subtracting Integers
• Multiplying Integers
• Properties of Multiplying Integers
• Dividing Integers
• Properties of Dividing Integers
• Worksheet on Integers and the Number Line
• Worksheet on Use of Integers
• Worksheet on Ordering Integers
• Worksheet on Absolute Value of an Integer
• Worksheet on Adding Integers
• Worksheet on Subtracting Integers
• Worksheet on Multiplying Integers
• Worksheet on Dividing Integers
• Worksheet on Use of Integers as Directed Numbers

Numbers

• Reading and Writing Large Numbers
• Reading and Writing Large Numbers – Worksheets
• Worksheet on Reading and Writing Large Numbers
• Unit of Measurement
• Unit of Measurement – Worksheets
• Worksheet on Unit of Measurement

Estimate

• Estimate to Nearest Tens
• Rounding off to the Nearest Tens
• Estimate to Nearest Hundreds
• Estimate to Nearest Thousands
• Estimating Sum and Difference
• Estimating Product and Quotient

Estimate – Worksheets

• Worksheet on Estimate
• Worksheet on Estimation

Natural Numbers

• Properties of Natural Numbers

Whole Numbers

• The Number Zero
• Properties of Whole Numbers
• Successor and Predecessor
• Representation of Whole Numbers on Number Line
• Properties of Addition
• Properties of Subtraction
• Properties of Multiplication
• Properties of Division
• Division as The Inverse of Multiplication

Fraction

• Representations of Fractions on a Number Line
• Fraction as Division
• Types of Fractions
• Conversion of Mixed Fractions into Improper Fractions
• Conversion of Improper Fractions into Mixed Fractions
• Equivalent Fractions
• Interesting Fact about Equivalent Fractions
• Fractions in Lowest Terms
• Like and Unlike Fractions
• Comparing Like Fractions
• Comparing Unlike Fractions
• Addition and Subtraction of Like Fractions
• Addition and Subtraction of Unlike Fractions
• Inserting a Fraction between Two Given Fractions

Number Line

• Compare Two Numbers using a Number Line
• Natural Numbers, Whole Numbers, and Integers on Number Lines
• Addition of Numbers using Number Line
• Subtraction of Numbers using Number Line
• Addition of Numbers without using Number Line
• Subtraction of Numbers without using Number Line
• Representing Fractions on Number Line
• Representing Decimals on Number Line

Number Line – Worksheets

• Worksheet on Fractions and Decimals on Number Line
• Worksheet on Addition and Subtraction using Number Line
• Worksheet on Addition and Subtraction without using Number Line

Arithmetic

Profit and Loss

• To find Profit or Loss when Cost Price and Selling Price are Given
• To find Selling Price when Cost Price and Profit or Loss are Given
• To find Cost Price when Selling Price and Profit or Loss are Given
• Examples on Profit and Loss
• Calculate Profit Percent
• Calculate Loss Percent
• Calculate Profit or Loss Percent
• Calculate Profit and Selling Price
• Calculate Loss and Selling Price
• Overhead Charges
• Discount and Discount Percent

Profit and Loss – Worksheets

• Worksheet on Calculating Profit or Loss
• Worksheet on Calculating Cost Price
• Worksheet on Calculating Selling Price
• Worksheet on Cost Price and Selling Price
• Worksheet on Calculating Profit or Loss Percent
• Worksheet on Profit or Loss Percent
• Worksheet on Calculating Overhead Charges
• Worksheet on Calculating Discount
• Worksheet on Discount Percent
• Worksheet on Calculating Discount on Marked Price

Ratios and Proportions

• Concept of Ratio
• Properties of Ratios
• Ratio in Simplest Form
• Problems on Ratios in Simplest Form
• Comparison of Ratios
• Equivalent Ratios
• Convert Fractional Ratio into Whole Number Ratio
• Dividing a Quantity in Two given Ratios
• Dividing a Quantity in Three given Ratios
• Dividing a Quantity in a given Ratio
• Concept of Proportion
• Continued Proportion
• Properties of Proportion
• Proportion Problems
• Word Problems using Proportion

Ratios and Proportions – Worksheets

• Worksheet on Ratio in Simplest Form
• Worksheet on Concept of Ratio
• Worksheet on Basic Problems on Ratio
• Worksheet on Ratio Problems
• Worksheet on Simple Word Problems on Ratio
• Worksheet on Word Problems on Ratio
• Worksheet on Basic Problems on Proportion
• Worksheet on Concept of Proportion
• Worksheet on Simple Word Problems on Proportion
• Worksheet on Proportion Problems
• Worksheet on Word Problems on Proportion
• Multiple Choice Questions on Ratio and Proportion
• Practice Test on Concept of Ratio and Proportion

Algebra

Literal Numbers

• Addition of Literals
• Subtraction of Literals
• Multiplication of Literals
• Properties of Multiplication of Literals
• Division of Literals
• Powers of Literal Numbers

Literal Numbers Worksheets

• Worksheet on Addition of Literals
• Worksheet on Subtraction of Literals
• Worksheet on Multiplication of Literals
• Worksheet on Division of Literals
• Worksheet on Powers of Literal Numbers

Constants and Variables

• Constants and Variables
• Worksheet on Constants and Variables

Terms

• Like and Unlike Terms
• Like Terms
• Addition of Like Terms
• Subtraction of Like Terms
• Adding and Subtracting Like Terms
• Unlike Terms
• Addition of Unlike Terms
• Subtraction of Unlike Terms

Terms Worksheets

• Worksheet on Terms
• Worksheet on Like and Unlike Terms
• Worksheet on Addition of Like Terms
• Worksheet on Subtraction of Like Terms
• Worksheet on Adding and Subtracting Like Terms
• Worksheet on Combining Like Terms
• Worksheet on Addition of Unlike Terms
• Worksheet on Subtraction of Unlike Terms

Coefficient

• Worksheet on Coefficients

Terms of an Algebraic Expression

• Types of Algebraic Expressions
• Degree of a Polynomial
• Addition of Polynomials
• Subtraction of Polynomials
• Power of Literal Quantities
• Multiplication of Two Monomials
• Multiplication of Polynomial by Monomial
• Multiplication of Two Binomials
• Division of Monomials

Terms of an Algebraic Expression – Worksheet

• Worksheet on Types of Algebraic Expressions
• Worksheet on Degree of a Polynomial
• Worksheet on Addition of Polynomials
• Worksheet on Subtraction of Polynomials
• Worksheet on Addition and Subtraction of Polynomials
• Worksheet on Adding and Subtracting Polynomials
• Worksheet on Multiplying Monomials
• Worksheet on Multiplying Monomial and Binomial
• Worksheet on Multiplying Monomial and Polynomial
• Worksheet on Multiplying Binomials
• Worksheet on Dividing Monomials

Grade 6 Goals and Objectives

• Grade 6 Math Practice is created to help you get acquainted with all kinds of topics.
• Keeping in mind the mental level of a child in 6th Grade all efforts are taken to introduce you to new concepts in a simple language so that you don’t find any difficulty.
• Difficulty Level of Problems are reduced and mathematical concepts are explained in the simplest way possible so that you will not feel any difficulty in learning.
• All the Topics are given with a large number of examples so that you will learn the applications of concepts.
• In 6th Grade, we will introduce you to literal numbers, fractions, ratios, percentages, algebraic expressions, linear equations, etc.

Why Choose our 6th Grade Math Curriculum?

Comprehensive 6th Grade Math will concentrate on the areas listed below and you can achieve your learning targets easily. They are as follows

• There is no end to the ways your kid in Grade 6 can improve their math skills.
• Engaging activities will help kids learn math in a new learning way.
• Strong Emphasis is laid on conceptual understanding rather than repetitive mugging up of concepts.
• Grade 6 will cover a new concept so that you can see a significant improvement in your performance.

Hope the information shared has enlightened you to the possible extent. If you have any queries do contact us via comment box and our experts will guide you at the earliest possible. For more updates or information of Gradewise Math Concepts bookmark our site.