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Middle School Mathematics Roadmap – Garde 5 through Grade 8

KAPDEC  Middle School Math Roadmap: Grades 5–8  What students learn each year, and how each grade builds toward high school...

Grade 8 Mathematics – Course Overview and Student Guide

KAPDEC  Grade 8 Mathematics  Course Overview & Student Guide  Aligned to the Common Core State Standards for Mathematics (CCSS-M), Grade...

Grade 7 Mathematics – Course Overview and Student Guide

KAPDEC  Grade 7 Mathematics  Course Overview & Student Guide  Aligned to the Common Core State Standards for Mathematics (CCSS-M), Grade...

Grade 6 Mathematics – Course Overview and Student Guide

KAPDEC  Grade 6 Mathematics  Course Overview & Student Guide  Aligned to the Common Core State Standards for Mathematics (CCSS-M), Grade...

Grade 5 Mathematics – Course Overview and Student Guide

KAPDEC  Grade 5 Mathematics  Course Overview & Student Guide, aligned to the Common Core State Standards for Mathematics (CCSS-M), Grade...

Introduction To Real Number

KAPDEC® | Elite STEM Learning Platform | https://kapdec.comUnit: Number System  Chapter: Introduction To Real Numbers  Reference: - Introduction to Real Numbers, Classification of...

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Middle School Mathematics Roadmap – Garde 5 through Grade 8

Middle School Courses
KAPDEC  Middle School Math Roadmap: Grades 5–8  What students learn each year, and how each grade builds toward high school Algebra I. Aligned to the US Common Core State Standards.  The four-step climb  Each grade has one big goal. Mastering it is the foundation for the next step.  Kapdec at a glance  4 Grades (5 to […]

Grade 8 Mathematics – Course Overview and Student Guide

Grade 8
KAPDEC  Grade 8 Mathematics  Course Overview & Student Guide  Aligned to the Common Core State Standards for Mathematics (CCSS-M), Grade 8  What the course covers, what students will learn, what they should know by the end of the year, and how Kapdec helps them get there.  kapdec.com  1. Grade 8 at a Glance  Grade 8 […]

Grade 7 Mathematics – Course Overview and Student Guide

Grade 7
KAPDEC  Grade 7 Mathematics  Course Overview & Student Guide  Aligned to the Common Core State Standards for Mathematics (CCSS-M), Grade 7  What the course covers, what students will learn, what they should know by the end of the year, and how Kapdec helps them get there.  kapdec.com  1. Grade 7 at a Glance  Grade 7 […]

Grade 6 Mathematics – Course Overview and Student Guide

Grade 6
KAPDEC  Grade 6 Mathematics  Course Overview & Student Guide  Aligned to the Common Core State Standards for Mathematics (CCSS-M), Grade 6  What the course covers, what students will learn, what they should know by the end of the year, and how Kapdec helps them get there.  kapdec.com  1. Grade 6 at a Glance  Grade 6 […]

Grade 5 Mathematics – Course Overview and Student Guide

Grade 5
KAPDEC  Grade 5 Mathematics  Course Overview & Student Guide, aligned to the Common Core State Standards for Mathematics (CCSS-M), Grade 5  What the course covers, what students will learn, what they should know by the end of the year, and how Kapdec helps them get there.  kapdec.com  1. Grade 5 at a Glance  Grade 5 […]

Introduction To Real Number

Grade 8
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Number System  Chapter: Introduction To Real Numbers  Reference: – Introduction to Real Numbers, Classification of Numbers, Rational & Irrational Numbers, Properties of Real Numbers, Operations on Real Numbers, The Number Line, Surds (Radicals), Laws of Exponents for Real Numbers, Density Property, Decimal Representation, Comparison & Ordering, Real-Life Applications  After […]

Finding A Rational Between Two Number

Grade 8
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Number System Chapter: Finding a Rational Between Two Numbers Reference: – Introduction to Rational Numbers, Finding Rational Numbers Between Two Rational Numbers, Finding Rational Numbers Between Two Irrational Numbers, Finding Rational Numbers Between a Rational and an Irrational Number, Average Method, Denominator Equalization Method, Formula-Based Method, […]

Inverse And Reciprocal Of Rationals

Grade 8
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Number System Chapter: Inverse & Reciprocal of Rational Reference: – Introduction to Inverse & Reciprocal, Multiplicative Inverse Definition, Additive Inverse Definition, Difference Between Inverse and Reciprocal, Reciprocal of Rational Numbers, Finding Reciprocal of Fractions, Negative Reciprocals, Reciprocal of Zero (Undefined), Reciprocal of Integers, Reciprocal of Negative […]

Properties Of Rational Number

Grade 8
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Number System Chapter: Properties of Rational Numbers Reference: – Introduction to Properties of Rational Numbers, Closure Property, Commutative Property, Associative Property, Distributive Property, Identity Property (Additive & Multiplicative), Inverse Property (Additive & Multiplicative), Property of Zero, Density Property, Comparison Properties, Properties on Number Line, Solved Examples, […]

Properties Of Irrational Number

Grade 8
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Number System Chapter: Properties of Irrational Numbers Reference: – Introduction to Irrational Numbers, Closure Properties (Addition, Subtraction, Multiplication, Division), Commutative & Associative Properties, Distributive Property, Density Property, Comparison Properties, Properties of Square Roots, Key Differences from Rational, Solved Examples, Odd-One-Out Problems, Common Mistakes After studying this […]

Introduction, Polygons

Grade 8
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Understanding Quadrilateral Chapter: Introduction to Polygon Reference: – What is a Polygon, Types of Polygons (Regular and Irregular), Convex and Concave Polygons, Classification by Number of Sides, Triangle, Quadrilateral, Pentagon, Hexagon, etc., Interior and Exterior Angles, Sum of Interior Angles of a Polygon, Sum of Exterior […]

Trapezium And Parallelogram

Grade 8
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Understanding Quadrilateral Chapter: Trapezium & Parallelogram Reference: – What is a Quadrilateral, Trapezium (Trapezoid) Definition, Types of Trapezium (Isosceles, Right, Scalene), Properties of a Trapezium, Parallelogram Definition, Properties of a Parallelogram, Special Parallelograms (Rectangle, Rhombus, Square), Difference Between Trapezium and Parallelogram, Area of Trapezium, Area of […]

Square And Rhombus

Grade 8
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Understanding Quadrilateral Chapter: Squares & Rhombus Reference: – What is a Rhombus, Properties of a Rhombus, What is a Square, Properties of a Square, Similarities Between Square and Rhombus, Differences Between Square and Rhombus, Diagonal Properties, Area of Rhombus, Area of Square, Relationship Between Square, Rhombus, […]

Area Trapezium And Parallelogram

Grade 8
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Area Of Shapes Chapter: Area of Trapezium & Parallelogram Reference: – What is Area, Area of a Parallelogram (Formula and Derivation), Area of a Trapezium (Formula and Derivation), Finding Base or Height from Area, Real-Life Applications, Solved Examples, Odd-One-Out Problems, Common Mistakes After studying this chapter, […]

Area Rhombus

Grade 8
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Area Of Shapes Chapter: Area of Rhombus Reference: – What is a Rhombus, Area of Rhombus Using Diagonals (Formula and Derivation), Area of Rhombus Using Base and Height, Finding a Diagonal Given Area and Other Diagonal, Real-Life Applications, Solved Examples, Odd-One-Out Problems, Common Mistakes After studying […]

Area Of Cube, Cuboid And Cylinders

Grade 8
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Area Of Shapes Chapter: Area of Cube, Cuboid & Cylinders Reference: – What is Surface Area, Lateral Surface Area vs Total Surface Area, Cube – Definition, Properties, TSA and LSA Formulas, Cuboid – Definition, Properties, TSA and LSA Formulas, Cylinder – Definition, Properties, TSA and LSA […]

Introduction

Grade 8
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Geometry Chapter: Introduction to Visualising Solid Shapes Reference: – Introduction to Solid Shapes, 2D vs 3D Shapes, Faces, Edges & Vertices, Polyhedrons and Non-Polyhedrons, Prisms, Pyramids, Platonic Solids, Curved Solids (Sphere, Cylinder, Cone), Nets of Solids, Mapping Space Around Us, Views of Solids (Top, Front, Side), […]

Views Of 3d-shapes

Grade 8
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Geometry Chapter: Views of 3 D – Shapes Reference: – Introduction to Views of 3D Shapes, Need for Multiple Views, Orthographic Projections (Top View, Front View, Side View), Isometric Sketches, Perspective Drawings, Viewing Solids from Different Angles, Drawing Views of Stacked Cubes, Identifying Solids from Given […]

Introduction To Exponents & Powers

Grade 8
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Exponents & Powers Chapter: Introduction to Exponents & Powers Reference: – What is an Exponent, Base and Exponent (Power), Reading and Writing Exponents, Exponential Form vs Expanded Form, Square and Cube, Special Exponents (0, 1), First Law of Exponents (Product Rule), Second Law of Exponents (Quotient […]

Laws Of Exponent

Grade 8
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Exponents & Powers Chapter: Laws Of Exponents Reference: – Review of Exponents, Law 1: Product Rule (a^m × a^n = a^(m+n)), Law 2: Quotient Rule (a^m ÷ a^n = a^(m-n)), Law 3: Power of a Power ((a^m)^n = a^(m×n)), Law 4: Power of a Product ((ab)^m […]

Expressing Large Number In Standard Forms

Grade 8
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Exponents & Powers Chapter: Expressing Large Numbers in Standard Form Reference: – What is Standard Form (Scientific Notation), Why Use Standard Form, Rules for Writing in Standard Form, Moving the Decimal Point, Positive Exponents for Large Numbers, Converting Standard Form to Ordinary Form, Comparing Numbers in […]

Powers With Negative Exponent

Grade 8
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Exponents & Powers Chapter: Powers with Negative Exponents Reference: – What is a Negative Exponent, meaning of a^(-n), Reciprocal Rule, Rewriting Negative Exponents as Positive, Simplifying Expressions with Negative Exponents, Negative Exponents in Fractions, Comparing Negative Exponents, Standard Form for Small Numbers (Negative Exponents), Real-Life Applications […]

Exponents And Small Number

Grade 8
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Exponents & Powers Chapter: Exponents & Small Numbers Reference: – What are Small Numbers, Negative Exponents for Small Numbers, Standard Form for Small Numbers (Scientific Notation), Converting Decimal to Standard Form, Converting Standard Form to Decimal, Comparing Very Small Numbers, Ordering Small Numbers, Real-Life Examples (Microscopic […]

Introduction To Squares, Cubes & Roots

Grade 8
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Squares, Cubes & Roots Chapter: Introduction to Squares, Cubes & Roots Reference: – What is a Square of a Number, what is a Cube of a Number, Perfect Squares and Perfect Cubes, Square Root Definition, Cube Root Definition, Square Root Symbol (√), Cube Root Symbol (∛), […]

Square Roots & Decimals

Grade 8
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Squares, Cubes & Roots Chapter: Square Roots & Decimals Reference: – quare Roots of Decimal Numbers, Perfect Square Decimals, Finding Square Root of a Decimal by Prime Factorization, Finding Square Root of a Decimal by Division Method, Square Roots of Non-Perfect Square Decimals, Estimating Decimal Square […]

Introduction To Cubes & Cube Roots

Grade 8
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Squares, Cubes & Roots Chapter: Introduction to Cubes & Cubes Roots Reference: – What is a Cube of a Number, Perfect Cubes, Properties of Cubes, Cube Root Definition, Cube Root Symbol (∛), Finding Cube Roots of Perfect Cubes, Cube Roots of Negative Numbers, Estimating Cube Roots, […]

Bivariate Data And Scatter Plot

Grade 8
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Data Handling & Analysis Chapter: Bivariate Data & Scatter Plots Reference: – What is Bivariate Data, Univariate vs Bivariate Data, Scatter Plot Definition, Constructing a Scatter Plot, Independent and Dependent Variables, Positive Correlation, Negative Correlation, No Correlation, Linear vs Nonlinear Relationships, Outliers in Scatter Plots, Line […]

Grouping Datas

Grade 8
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Data Handling & Analysis Chapter: Grouping Data Reference: – What is Grouping Data, When to Use Grouped Data, Raw vs Grouped Data, Class Intervals, Lower- and Upper-Class Limits, Class Size (Width), Frequency Distribution Table for Grouped Data, Tally Marks for Grouped Data, Choosing Class Intervals, Solved […]

Organizing Datas

Grade 8
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Data Handling & Analysis Chapter: Organizing Data Reference: – What is Data, Raw Data, Frequency Distribution Table, Grouped and Ungrouped Data, Class Intervals, Tally Marks, Range of Data, Choosing Class Size, Data Sorting (Ascending and Descending), Solved Examples, Odd-One-Out Problems, Common Mistakes After studying this chapter, […]

Linear Graph

Grade 8
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Data Handling & Analysis Chapter: Linear Graphs Reference: – What is a Linear Graph, Linear Equations in Two Variables, Plotting Points on a Coordinate Plane, Graphing Linear Equations Using Tables, Slope of a Line, Intercepts (x-intercept and y-intercept), Graphing Using Slope-Intercept Form (y = mx + […]

Introduction To Graph

Grade 8
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Data Handling & Analysis Chapter: Introduction to Graphs Reference: – What is a Graph, Why We Use Graphs, Types of Graphs (Bar Graph, Line Graph, Pie Chart, Histogram, Scatter Plot), Parts of a Graph (Title, Axes, Labels, Scale), Choosing the Right Graph, Reading and Interpreting Graphs, […]

Chance & Probability

Grade 8
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Data Handling & Analysis Chapter: Chance & Probability Reference: – Compound Events, Independent and Dependent Events, Mutually Exclusive Events, Addition Rule of Probability, Multiplication Rule of Probability, Probability of "Or" (Union), Probability of "And" (Intersection), Tree Diagrams, Sample Space for Multiple Events, Probability Without Replacement, Solved […]

Comparing Function

Grade 8
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Functions Chapter: Comparing Functions Reference: – What Does It Mean to Compare Functions, Comparing Using Equations, Comparing Using Tables, Comparing Using Graphs, Comparing Rates of Change (Slope), Comparing Initial Values (y-intercept), Comparing Linear and Nonlinear Functions, Determining Which Function is Growing Faster, Real-World Comparison Problems, Solved […]

Linear Functions In A Coordinate Planes

Grade 8
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Functions Chapter: Linear Functions in a Coordinated Plane Reference: – What is a Linear Function, Slope (Rate of Change), y-intercept, Slope-Intercept Form (y = mx + b), Graphing Linear Functions, Horizontal and Vertical Lines, Standard Form (Ax + By = C), Point-Slope Form, Finding Slope from […]

Functions Introductions

Grade 8
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Functions Chapter: Introduction to Functions Reference: – What is a Function, Input and Output, Function Notation (f(x)), Domain and Range, Vertical Line Test, Representing Functions (Equations, Tables, Graphs, Mapping Diagrams), Linear and Nonlinear Functions, Examples and Non-Examples, Solved Problems, Odd-One-Out, Common Mistakes After studying this chapter, […]

Direct & Inverse Proportion

Grade 8
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Factorization Of Expressions Chapter: Direct & Inverse Proportion Reference: – What is Proportion, Direct Proportion Definition, Direct Proportion Formula (y = kx), Constant of Proportionality (k), Real-Life Examples of Direct Proportion, Graph of Direct Proportion, Inverse Proportion Definition, Inverse Proportion Formula (y = k/x), Real-Life Examples […]

Division Of Algebraic Expressions

Grade 8
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Factorization Of Expressions Chapter: Division of Algebraic Expressions Reference: – Introduction to Division of Algebraic Expressions, Dividing a Monomial by a Monomial, Dividing a Polynomial by a Monomial, Dividing a Polynomial by a Polynomial, Using Factorization for Division, Cancellation of Common Factors, Division Algorithm (Quotient and […]

Factorization Using Standard Identity

Grade 8
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Factorization Of Expressions Chapter: Factorization Using Standard Identities Reference: – What are Standard Identities, Identity 1: a² + 2ab + b² = (a + b)², Identity 2: a² – 2ab + b² = (a – b)², Identity 3: a² – b² = (a – b)(a + […]

Introduction, Expressions Factorizations

Grade 8
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Factorization Of Expressions Chapter: Introduction to Factorization of Expressions Reference: – What is Factorization, Factors of an Expression, Why Factor Expressions, Prime Factorization Review, Factorizing by Finding Common Factors, Greatest Common Factor (GCF), Factorizing by Grouping, Factorizing Quadratic Expressions (x² + bx + c), Factorizing Difference […]

Solving Linear Equations, Graphical Method

Grade 8
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Algebra – 1 Chapter: Solving Linear Equations – Graphical Methods Reference: – Introduction to Graphical Method, Plotting Linear Equations on Graph, Finding Intersection Point, Unique Solution (Intersecting Lines), No Solution (Parallel Lines), Infinite Solutions (Coincident Lines), Steps for Graphical Solution, Solved Examples, Advantages and Limitations, Odd-One-Out […]

Solving Linear Equations, Algebraic Method

Grade 8
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Algebra – 1 Chapter: Solving Linear Equations – Algebraic Methods Reference: – Introduction to Solving Linear Equations in Two Variables, Systems of Linear Equations, Substitution Method, Elimination Method, Cross Multiplication Method, Comparison Method, Consistent vs Inconsistent Systems, Dependent Systems, Solved Examples, Odd-One-Out Problems, Common Mistakes After […]

Introduction To Linear Equation

Grade 8
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Algebra – 1 Chapter: Introduction to Two variables Reference: – Introduction to Linear Equations in Two Variables, General Form, Solutions of an Equation, Graph of a Linear Equation, Infinite Solutions, Intercepts, Standard Form, Slope-Intercept Form, Applications, Solved Examples, Odd-One-Out Problems, Common Mistakes After studying this chapter, […]

Reducing Equation

Grade 8
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Algebra – 1 Chapter: Reducing Equations Reference: – Introduction to Reducing Equations, Equations with Parentheses, Equations with Fractions, Equations with Decimals, Cross Multiplication Method, Equations with Variables in Denominator, Equations Containing Nested Parentheses, Simplifying Before Solving, Converting Complex to Standard Form, Solved Examples, Odd-One-Out Problems, Common […]

Solving Equations, Variable On Both Side

Grade 8
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Algebra – 1 Chapter: Solving Equations, Variable on Both Side Reference: – Introduction to Variable on Both Sides, Collecting Like Terms, Moving Variables to One Side, Balancing Method, Transposition Method, Equations with Parentheses, Equations with Fractions and Decimals, Special Cases (No Solution, Infinite Solutions), Verification, Solved […]

Solving Equations, Variable On One Sides

Grade 8
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Algebra – 1 Chapter: Solving Equations, Variable on One Side Reference: – Introduction to Linear Equations, what is a Variable, what is an Equation, Solving Equations with Variable on One Side, Balancing Method, Transposition Method, Verification of Solution, Equations with Fractions, Equations with Decimals, Word Problems, […]

Histogram & Box Plots

Grade 6
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Statistics Chapter: Histogram & Box Plots Reference: – Introduction to Histogram, Frequency Distribution and Class Intervals, Construction of a Histogram, Interpreting Histogram Shapes (Symmetric, Skewed, Bimodal), Introduction to Box Plot, Five-Number Summary (Minimum, Q1, Median, Q3, Maximum), Interquartile Range (IQR) and Outliers, Constructing and Interpreting Box […]

Data Handling, Pictograph & Bar Graph

Grade 6
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Statistics Chapter: Data Handling, Pictograph & Bar Graph Reference: – Introduction to Data Handling, Recording and Organising Data, Tally Marks, Frequency Distribution, Pictograph (Definition, Key/Scale, Interpretation, Drawing), Bar Graph (Definition, Parts, Scale, Interpretation, Drawing), Comparison of Pictograph and Bar Graph After studying this chapter, you should […]

Construction Of Circles & Angles

Grade 6
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Geometry Chapter: Construction of Circles & Angles Reference: – Introduction to Constructions, Tools of Construction (Ruler, Compass, Protractor), Construction of a Circle with a Given Radius, Construction of Concentric Circles, Construction of an Angle Equal to a Given Angle, Construction of Angle Bisector, Construction of Standard […]

Introductions & Types Of Symmetry

Grade 6
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Geometry Chapter: Introduction & Types of Symmetry Reference: – Introduction to Symmetry, Line of Symmetry (Reflection Symmetry), Lines of Symmetry in Regular Polygons, Rotational Symmetry, Centre of Rotation, Angle of Rotation, Order of Rotational Symmetry, Line and Rotational Symmetry in Common Shapes After studying this chapter, […]

Quadrilaterals & Circles

Grade 6
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Geometry Chapter: Quadrilaterals & Circles Reference: – Introduction to Quadrilaterals, Sides, Vertices, Angles & Diagonals of a Quadrilateral, Types of Quadrilaterals (Square, Rectangle, Parallelogram, Rhombus, Trapezium, Kite), Angle Sum Property of a Quadrilateral (360°), Introduction to Circles, Centre, Radius, Diameter, Circumference, Chord, Arc, Sector, Segment After […]