Vaara Classroom

NCERT · Ganita Prakash · Volume 1 · Chapter 1

A Square and a Cube

Chapter 1Track Which Lockers Change State5:56Track Which Lockers Change StateYou'll learn: Track Which Lockers Change State Chapter 1Why Square-Numbered Lockers Stay Open3:39Why Square-Numbered Lockers Stay OpenYou'll learn: Why Square-Numbered Lockers Stay Open Chapter 1Find the Passcode from Lockers Touched Exactly Twice3:19Find the Passcode from Lockers Touched Exactly TwiceYou'll learn: Find the Passcode from Lockers Touched Exactly Twice Chapter 1Why Squaring Counts a Square’s Area3:16Why Squaring Counts a Square’s AreaYou'll learn: Why Squaring Counts a Square’s Area Chapter 1Build a Table of the First Thirty Squares3:46Build a Table of the First Thirty SquaresYou'll learn: Build a Table of the First Thirty Squares Chapter 1What a Square’s Last Digit Can Tell You3:43What a Square’s Last Digit Can Tell YouYou'll learn: What a Square’s Last Digit Can Tell You Chapter 1Trailing Zeroes and Parity of Perfect Squares3:29Trailing Zeroes and Parity of Perfect SquaresYou'll learn: Trailing Zeroes and Parity of Perfect Squares Chapter 1Odd L-Shaped Borders Build Every Square3:14Odd L-Shaped Borders Build Every SquareYou'll learn: Odd L-Shaped Borders Build Every Square Chapter 1Test a Square by Subtracting Successive Odd Numbers3:36Test a Square by Subtracting Successive Odd NumbersYou'll learn: Test a Square by Subtracting Successive Odd Numbers Chapter 1Find the Next Square Without Multiplying Again3:25Find the Next Square Without Multiplying AgainYou'll learn: Find the Next Square Without Multiplying Again Chapter 1How Many Integers Lie Between Consecutive Squares?3:36How Many Integers Lie Between Consecutive Squares?You'll learn: How Many Integers Lie Between Consecutive Squares?Chapter 1Count Squares in Blocks of One Hundred4:00Count Squares in Blocks of One HundredYou'll learn: Count Squares in Blocks of One Hundred Chapter 1Two Neighbouring Triangular Totals Make a Square3:17Two Neighbouring Triangular Totals Make a SquareYou'll learn: Two Neighbouring Triangular Totals Make a Square Chapter 1Square Roots: Side Length and Positive Root Notation3:30Square Roots: Side Length and Positive Root NotationYou'll learn: Square Roots: Side Length and Positive Root Notation Chapter 1Prime-Factor Pairs Reveal a Perfect Square3:33Prime-Factor Pairs Reveal a Perfect SquareYou'll learn: Prime-Factor Pairs Reveal a Perfect Square Chapter 1Narrow Down the Root of a Large Perfect Square3:37Narrow Down the Root of a Large Perfect SquareYou'll learn: Narrow Down the Root of a Large Perfect Square Chapter 1Estimate a Root and Choose a Feasible Square Size3:26Estimate a Root and Choose a Feasible Square SizeYou'll learn: Estimate a Root and Choose a Feasible Square Size Chapter 1Find the Smallest Square Divisible by Several Numbers3:38Find the Smallest Square Divisible by Several NumbersYou'll learn: Find the Smallest Square Divisible by Several Numbers Chapter 1Complete Missing Prime Pairs with a Multiplier3:30Complete Missing Prime Pairs with a MultiplierYou'll learn: Complete Missing Prime Pairs with a Multiplier Chapter 1Complete the Three-Square Number Pattern3:29Complete the Three-Square Number PatternYou'll learn: Complete the Three-Square Number Pattern Chapter 1Count Tiny Squares Through Repeated Groups3:18Count Tiny Squares Through Repeated GroupsYou'll learn: Count Tiny Squares Through Repeated Groups Chapter 1A Cube Needs Layers, Not Just One Square Face3:12A Cube Needs Layers, Not Just One Square FaceYou'll learn: A Cube Needs Layers, Not Just One Square Face Chapter 1Cube Notation and the First Twenty Cubes3:35Cube Notation and the First Twenty CubesYou'll learn: Cube Notation and the First Twenty Cubes Chapter 1Last Digits, Zeroes and Parity of Cubes3:30Last Digits, Zeroes and Parity of CubesYou'll learn: Last Digits, Zeroes and Parity of Cubes Chapter 1Cube Fractions, Decimals and Negative Numbers3:36Cube Fractions, Decimals and Negative NumbersYou'll learn: Cube Fractions, Decimals and Negative Numbers Chapter 1Why 1729 Is a Taxicab Number3:27Why 1729 Is a Taxicab NumberYou'll learn: Why 1729 Is a Taxicab Number Chapter 1Groups of Consecutive Odd Numbers Build Cubes3:37Groups of Consecutive Odd Numbers Build CubesYou'll learn: Groups of Consecutive Odd Numbers Build Cubes Chapter 1Cube Roots Reverse Cubing3:08Cube Roots Reverse CubingYou'll learn: Cube Roots Reverse Cubing Chapter 1Prime-Factor Triplets Reveal a Perfect Cube3:51Prime-Factor Triplets Reveal a Perfect CubeYou'll learn: Prime-Factor Triplets Reveal a Perfect Cube Chapter 1Find Cube Roots and Complete a Cube with a Multiplier3:34Find Cube Roots and Complete a Cube with a MultiplierYou'll learn: Find Cube Roots and Complete a Cube with a Multiplier Chapter 1Guess and Verify Cube Roots from Size and Last Digit3:29Guess and Verify Cube Roots from Size and Last DigitYou'll learn: Guess and Verify Cube Roots from Size and Last Digit Chapter 1Test Claims About Odd Cubes, Digits and Factors3:26Test Claims About Odd Cubes, Digits and FactorsYou'll learn: Test Claims About Odd Cubes, Digits and Factors Chapter 1Successive Differences Distinguish Squares from Cubes3:51Successive Differences Distinguish Squares from CubesYou'll learn: Successive Differences Distinguish Squares from Cubes Chapter 1Compare Consecutive Square and Cube Gaps3:40Compare Consecutive Square and Cube GapsYou'll learn: Compare Consecutive Square and Cube Gaps Chapter 1How Square, Cube and Root Got Their Names3:50How Square, Cube and Root Got Their NamesYou'll learn: How Square, Cube and Root Got Their Names Chapter 1Arrange One to Seventeen in a Square-Sum Row4:02Arrange One to Seventeen in a Square-Sum RowYou'll learn: Arrange One to Seventeen in a Square-Sum Row Chapter 1Close a Square-Sum Circle Using One to Thirty-Two4:33Close a Square-Sum Circle Using One to Thirty-TwoYou'll learn: Close a Square-Sum Circle Using One to Thirty-Two

NCERT · Ganita Prakash · Volume 1 · Chapter 4

Quadrilaterals

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Chapter 4Which Figures Are Quadrilaterals?3:08Which Figures Are Quadrilaterals?You'll learn: Which Figures Are Quadrilaterals?Chapter 4What Makes a Rectangle?3:19What Makes a Rectangle?You'll learn: What Makes a Rectangle?Chapter 4Why Are a Rectangle’s Diagonals Equal?2:57Why Are a Rectangle’s Diagonals Equal?You'll learn: Why Are a Rectangle’s Diagonals Equal?Chapter 4Why Do Rectangle Diagonals Bisect Each Other?3:02Why Do Rectangle Diagonals Bisect Each Other?You'll learn: Why Do Rectangle Diagonals Bisect Each Other?Chapter 4Are These Triangle Equalities Enough?3:04Are These Triangle Equalities Enough?You'll learn: Are These Triangle Equalities Enough?Chapter 4Equal Diagonals Meeting at Sixty Degrees3:15Equal Diagonals Meeting at Sixty DegreesYou'll learn: Equal Diagonals Meeting at Sixty Degrees Chapter 4Does Any Crossing Angle Produce a Rectangle?3:04Does Any Crossing Angle Produce a Rectangle?You'll learn: Does Any Crossing Angle Produce a Rectangle?Chapter 4Solve the Carpenter’s Rectangle Problem3:16Solve the Carpenter’s Rectangle ProblemYou'll learn: Solve the Carpenter’s Rectangle Problem Chapter 4A Measurement Is Evidence—How Do We Prove a Property?3:22A Measurement Is Evidence—How Do We Prove a Property?You'll learn: A Measurement Is Evidence—How Do We Prove a Property?Chapter 4Are Four Right Angles Enough to Define a Rectangle?3:06Are Four Right Angles Enough to Define a Rectangle?You'll learn: Are Four Right Angles Enough to Define a Rectangle?Chapter 4Why Are Opposite Sides of a Rectangle Parallel?3:10Why Are Opposite Sides of a Rectangle Parallel?You'll learn: Why Are Opposite Sides of a Rectangle Parallel?Chapter 4Every Square Is Also a Rectangle3:18Every Square Is Also a RectangleYou'll learn: Every Square Is Also a Rectangle Chapter 4Why Do Square Diagonals Meet at Right Angles?3:02Why Do Square Diagonals Meet at Right Angles?You'll learn: Why Do Square Diagonals Meet at Right Angles?Chapter 4Construct a Square From Its Diagonal3:15Construct a Square From Its DiagonalYou'll learn: Construct a Square From Its Diagonal Chapter 4Why Does a Square’s Diagonal Bisect Its Angles?3:16Why Does a Square’s Diagonal Bisect Its Angles?You'll learn: Why Does a Square’s Diagonal Bisect Its Angles?Chapter 4Find the Hidden Angles in Two Rectangles3:19Find the Hidden Angles in Two RectanglesYou'll learn: Find the Hidden Angles in Two Rectangles Chapter 4Four Crossings, Four Equal-Diagonal Constructions3:17Four Crossings, Four Equal-Diagonal ConstructionsYou'll learn: Four Crossings, Four Equal-Diagonal Constructions Chapter 4Make a Right Angle With Diameters, Sticks and Thread3:12Make a Right Angle With Diameters, Sticks and ThreadYou'll learn: Make a Right Angle With Diameters, Sticks and Thread Chapter 4Why Do a Quadrilateral’s Angles Add to 360 Degrees?3:20Why Do a Quadrilateral’s Angles Add to 360 Degrees?You'll learn: Why Do a Quadrilateral’s Angles Add to 360 Degrees?Chapter 4Parallel Opposite Sides Do Not Always Make a Rectangle3:25Parallel Opposite Sides Do Not Always Make a RectangleYou'll learn: Parallel Opposite Sides Do Not Always Make a Rectangle Chapter 4Construct a Parallelogram From Two Sides and an Angle3:25Construct a Parallelogram From Two Sides and an AngleYou'll learn: Construct a Parallelogram From Two Sides and an Angle Chapter 4Why Are Opposite Angles Equal in a Parallelogram?3:16Why Are Opposite Angles Equal in a Parallelogram?You'll learn: Why Are Opposite Angles Equal in a Parallelogram?Chapter 4Prove the Opposite Sides of a Parallelogram Are Equal3:19Prove the Opposite Sides of a Parallelogram Are EqualYou'll learn: Prove the Opposite Sides of a Parallelogram Are Equal Chapter 4Parallelogram Diagonals Bisect Each Other3:21Parallelogram Diagonals Bisect Each OtherYou'll learn: Parallelogram Diagonals Bisect Each Other Chapter 4Construct a Rhombus That Is Not a Square3:19Construct a Rhombus That Is Not a SquareYou'll learn: Construct a Rhombus That Is Not a Square Chapter 4Why Is Every Rhombus a Parallelogram?3:09Why Is Every Rhombus a Parallelogram?You'll learn: Why Is Every Rhombus a Parallelogram?Chapter 4Rhombus Diagonals Bisect Angles and Cross at Ninety Degrees3:14Rhombus Diagonals Bisect Angles and Cross at Ninety DegreesYou'll learn: Rhombus Diagonals Bisect Angles and Cross at Ninety Degrees Chapter 4Where Do Squares Fit Among Rectangles and Rhombuses?3:18Where Do Squares Fit Among Rectangles and Rhombuses?You'll learn: Where Do Squares Fit Among Rectangles and Rhombuses?Chapter 4Solve Four Quadrilateral Angle Diagrams3:16Solve Four Quadrilateral Angle DiagramsYou'll learn: Solve Four Quadrilateral Angle Diagrams Chapter 4Construct a Parallelogram and a Rhombus From Diagonals3:29Construct a Parallelogram and a Rhombus From DiagonalsYou'll learn: Construct a Parallelogram and a Rhombus From Diagonals Chapter 4Change a Geoboard Square Into a Rhombus3:28Change a Geoboard Square Into a RhombusYou'll learn: Change a Geoboard Square Into a Rhombus Chapter 4Join Equilateral and Isosceles Triangles3:27Join Equilateral and Isosceles TrianglesYou'll learn: Join Equilateral and Isosceles Triangles Chapter 4What Can Two Scalene Triangles Make?3:42What Can Two Scalene Triangles Make?You'll learn: What Can Two Scalene Triangles Make?Chapter 4A Kite’s Equal Sides Explain Its Diagonals3:00A Kite’s Equal Sides Explain Its DiagonalsYou'll learn: A Kite’s Equal Sides Explain Its Diagonals Chapter 4Construct a Kite With Diagonals Six and Eight Centimetres3:07Construct a Kite With Diagonals Six and Eight CentimetresYou'll learn: Construct a Kite With Diagonals Six and Eight Centimetres Chapter 4A Trapezium Has at Least One Pair of Parallel Sides3:19A Trapezium Has at Least One Pair of Parallel SidesYou'll learn: A Trapezium Has at Least One Pair of Parallel Sides Chapter 4Why Are an Isosceles Trapezium’s Base Angles Equal?3:15Why Are an Isosceles Trapezium’s Base Angles Equal?You'll learn: Why Are an Isosceles Trapezium’s Base Angles Equal?Chapter 4Find the Remaining Trapezium Angles3:11Find the Remaining Trapezium AnglesYou'll learn: Find the Remaining Trapezium Angles Chapter 4Can a Quadrilateral Be Both a Kite and a Rectangle?3:20Can a Quadrilateral Be Both a Kite and a Rectangle?You'll learn: Can a Quadrilateral Be Both a Kite and a Rectangle?Chapter 4Find an Angle Where Two Rectangles Meet2:59Find an Angle Where Two Rectangles MeetYou'll learn: Find an Angle Where Two Rectangles Meet Chapter 4A Square Inside a Square3:26A Square Inside a SquareYou'll learn: A Square Inside a Square Chapter 4When Do Equal Sides Force a Special Quadrilateral?3:14When Do Equal Sides Force a Special Quadrilateral?You'll learn: When Do Equal Sides Force a Special Quadrilateral?Chapter 4Does the Angle Sum Still Work for a Concave Quadrilateral?3:28Does the Angle Sum Still Work for a Concave Quadrilateral?You'll learn: Does the Angle Sum Still Work for a Concave Quadrilateral?Chapter 4Seven Quadrilateral Claims: Proof or Counterexample?3:36Seven Quadrilateral Claims: Proof or Counterexample?You'll learn: Seven Quadrilateral Claims: Proof or Counterexample?Chapter 4Which Quad? Predict the Shape Made by Folding3:32Which Quad? Predict the Shape Made by FoldingYou'll learn: Which Quad? Predict the Shape Made by Folding

NCERT · Ganita Prakash · Volume 1 · Chapter 5

Number Play

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Chapter 5Which Numbers Are Sums of Consecutive Numbers?3:32Which Numbers Are Sums of Consecutive Numbers?You'll learn: Which Numbers Are Sums of Consecutive Numbers?Chapter 5Eight Ways to Place Plus and Minus Signs3:25Eight Ways to Place Plus and Minus SignsYou'll learn: Eight Ways to Place Plus and Minus Signs Chapter 5What Stays the Same in the Eight Expressions?3:18What Stays the Same in the Eight Expressions?You'll learn: What Stays the Same in the Eight Expressions?Chapter 5Why Changing a Sign Does Not Change Parity3:24Why Changing a Sign Does Not Change ParityYou'll learn: Why Changing a Sign Does Not Change Parity Chapter 5One Parity Result, Two More Explanations3:36One Parity Result, Two More ExplanationsYou'll learn: One Parity Result, Two More Explanations Chapter 5Tell Whether an Expression Is Even Without Evaluating It3:28Tell Whether an Expression Is Even Without Evaluating ItYou'll learn: Tell Whether an Expression Is Even Without Evaluating It Chapter 5Does an Algebraic Expression Always Give an Even Number?3:20Does an Algebraic Expression Always Give an Even Number?You'll learn: Does an Algebraic Expression Always Give an Even Number?Chapter 5Two Types of Even Numbers3:14Two Types of Even NumbersYou'll learn: Two Types of Even Numbers Chapter 5When Do Two Even Numbers Add to a Multiple of Four?3:12When Do Two Even Numbers Add to a Multiple of Four?You'll learn: When Do Two Even Numbers Add to a Multiple of Four?Chapter 5Add or Subtract Two Multiples3:15Add or Subtract Two MultiplesYou'll learn: Add or Subtract Two Multiples Chapter 5A Divisible Sum Does Not Force Divisible Parts3:24A Divisible Sum Does Not Force Divisible PartsYou'll learn: A Divisible Sum Does Not Force Divisible Parts Chapter 5Multiples Keep Factors—but Not Every Larger Multiple3:30Multiples Keep Factors—but Not Every Larger MultipleYou'll learn: Multiples Keep Factors—but Not Every Larger Multiple Chapter 5When Do Two Divisibility Tests Combine?3:29When Do Two Divisibility Tests Combine?You'll learn: When Do Two Divisibility Tests Combine?Chapter 5Can an Odd Plus an Even Be a Multiple of Six?3:07Can an Odd Plus an Even Be a Multiple of Six?You'll learn: Can an Odd Plus an Even Be a Multiple of Six?Chapter 5One Remainder, Two Algebraic Descriptions3:27One Remainder, Two Algebraic DescriptionsYou'll learn: One Remainder, Two Algebraic Descriptions Chapter 5Describe Consecutive Numbers With Letters3:13Describe Consecutive Numbers With LettersYou'll learn: Describe Consecutive Numbers With Letters Chapter 5Five Always, Sometimes or Never Challenges3:29Five Always, Sometimes or Never ChallengesYou'll learn: Five Always, Sometimes or Never Challenges Chapter 5Find Numbers Satisfying Several Remainder Clues3:29Find Numbers Satisfying Several Remainder CluesYou'll learn: Find Numbers Satisfying Several Remainder Clues Chapter 5Add and Subtract Remainders3:23Add and Subtract RemaindersYou'll learn: Add and Subtract Remainders Chapter 5Why Last Digits Test Divisibility by Two, Five and Ten3:18Why Last Digits Test Divisibility by Two, Five and TenYou'll learn: Why Last Digits Test Divisibility by Two, Five and Ten Chapter 5Why the Last Two or Three Digits Are Enough3:35Why the Last Two or Three Digits Are EnoughYou'll learn: Why the Last Two or Three Digits Are Enough Chapter 5Why the Digit Sum Reveals Divisibility by Nine3:26Why the Digit Sum Reveals Divisibility by NineYou'll learn: Why the Digit Sum Reveals Divisibility by Nine Chapter 5Prove the Digit-Sum Test for Any Number3:34Prove the Digit-Sum Test for Any NumberYou'll learn: Prove the Digit-Sum Test for Any Number Chapter 5Four Challenges With Multiples of Nine3:39Four Challenges With Multiples of NineYou'll learn: Four Challenges With Multiples of Nine Chapter 5The Digit-Sum Test for Three3:30The Digit-Sum Test for ThreeYou'll learn: The Digit-Sum Test for Three Chapter 5Why Alternating Digit Sums Work for Eleven3:31Why Alternating Digit Sums Work for ElevenYou'll learn: Why Alternating Digit Sums Work for Eleven Chapter 5Use the Eleven Test and Find the Actual Remainder3:37Use the Eleven Test and Find the Actual RemainderYou'll learn: Use the Eleven Test and Find the Actual Remainder Chapter 5Complete the Divisibility Table Efficiently3:31Complete the Divisibility Table EfficientlyYou'll learn: Complete the Divisibility Table Efficiently Chapter 5Why Two and Three Test Six, but Four and Six Do Not Test Twenty-Four3:31Why Two and Three Test Six, but Four and Six Do Not Test Twenty-FourYou'll learn: Why Two and Three Test Six, but Four and Six Do Not Test Twenty-Four Chapter 5Digital Root and Remainder Are Related, but Different4:06Digital Root and Remainder Are Related, but DifferentYou'll learn: Digital Root and Remainder Are Related, but Different Chapter 5Patterns in Digital Roots3:37Patterns in Digital RootsYou'll learn: Patterns in Digital Roots Chapter 5Predict Digital Roots Without Writing the Whole Number3:32Predict Digital Roots Without Writing the Whole NumberYou'll learn: Predict Digital Roots Without Writing the Whole Number Chapter 5Solve Addition Cryptarithms by Following Carries3:50Solve Addition Cryptarithms by Following CarriesYou'll learn: Solve Addition Cryptarithms by Following Carries Chapter 5Multiplication Cryptarithms: Bounds and Repeated Digits3:26Multiplication Cryptarithms: Bounds and Repeated DigitsYou'll learn: Multiplication Cryptarithms: Bounds and Repeated Digits Chapter 5Solve BYE Times Six Equals RAY3:18Solve BYE Times Six Equals RAYYou'll learn: Solve BYE Times Six Equals RAY Chapter 5Three Cryptarithms With Tight Digit Constraints3:26Three Cryptarithms With Tight Digit ConstraintsYou'll learn: Three Cryptarithms With Tight Digit Constraints Chapter 5Repeated Digits in Multiplication Puzzles3:24Repeated Digits in Multiplication PuzzlesYou'll learn: Repeated Digits in Multiplication Puzzles Chapter 5Find Missing Digits for Nine and Eighteen3:09Find Missing Digits for Nine and EighteenYou'll learn: Find Missing Digits for Nine and Eighteen Chapter 5Two Remainder Claims That Need Careful Reasoning3:22Two Remainder Claims That Need Careful ReasoningYou'll learn: Two Remainder Claims That Need Careful Reasoning Chapter 5What Survives When Digits Are Reversed or Shuffled?3:25What Survives When Digits Are Reversed or Shuffled?You'll learn: What Survives When Digits Are Reversed or Shuffled?Chapter 5Use Divisibility by Forty-Four to Find Two Digits3:32Use Divisibility by Forty-Four to Find Two DigitsYou'll learn: Use Divisibility by Forty-Four to Find Two Digits Chapter 5Consecutive Multiples and an Interval Search3:43Consecutive Multiples and an Interval SearchYou'll learn: Consecutive Multiples and an Interval Search Chapter 5Test Five More Claims About Multiples3:29Test Five More Claims About MultiplesYou'll learn: Test Five More Claims About Multiples Chapter 5When Is a Sum of Three Numbers Divisible by Three?3:30When Is a Sum of Three Numbers Divisible by Three?You'll learn: When Is a Sum of Three Numbers Divisible by Three?Chapter 5Products of Consecutive Integers3:43Products of Consecutive IntegersYou'll learn: Products of Consecutive Integers Chapter 5The Final Two Multiplication Cryptarithms4:03The Final Two Multiplication CryptarithmsYou'll learn: The Final Two Multiplication Cryptarithms Chapter 5A Venn Diagram of Multiples—and the Rules Behind It3:36A Venn Diagram of Multiples—and the Rules Behind ItYou'll learn: A Venn Diagram of Multiples—and the Rules Behind It Chapter 5Navakankari: Form Lines, Remove Pawns, Plan Ahead3:51Navakankari: Form Lines, Remove Pawns, Plan AheadYou'll learn: Navakankari: Form Lines, Remove Pawns, Plan Ahead

NCERT · Ganita Prakash · Volume 1 · Chapter 6

We Distribute Yet Things Multiply

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Chapter 6Split a Product Into Parts2:57Split a Product Into PartsYou'll learn: Split a Product Into Parts Chapter 6Increase One Factor by One2:52Increase One Factor by OneYou'll learn: Increase One Factor by One Chapter 6Increase Both Factors by One2:44Increase Both Factors by OneYou'll learn: Increase Both Factors by One Chapter 6One Factor Up, One Factor Down: Does the Product Increase?2:53One Factor Up, One Factor Down: Does the Product Increase?You'll learn: One Factor Up, One Factor Down: Does the Product Increase?Chapter 6An Identity Works for Every Allowed Input2:58An Identity Works for Every Allowed InputYou'll learn: An Identity Works for Every Allowed Input Chapter 6Change Both Factors by Any Amount2:45Change Both Factors by Any AmountYou'll learn: Change Both Factors by Any Amount Chapter 6Use One Identity for Increases and Decreases2:48Use One Identity for Increases and DecreasesYou'll learn: Use One Identity for Increases and Decreases Chapter 6Distribute a Fractional Term Across Three Terms2:52Distribute a Fractional Term Across Three TermsYou'll learn: Distribute a Fractional Term Across Three Terms Chapter 6Combine Like Terms After Multiplying Two Brackets2:40Combine Like Terms After Multiplying Two BracketsYou'll learn: Combine Like Terms After Multiplying Two Brackets Chapter 6Multiply a Binomial by Three Terms2:41Multiply a Binomial by Three TermsYou'll learn: Multiply a Binomial by Three Terms Chapter 6Describe Every Cell Around pq2:47Describe Every Cell Around pqYou'll learn: Describe Every Cell Around pq Chapter 6Six Products With Different Signs and Coefficients3:00Six Products With Different Signs and CoefficientsYou'll learn: Six Products With Different Signs and Coefficients Chapter 6Can Two Changing Factors Keep the Product Unchanged?2:38Can Two Changing Factors Keep the Product Unchanged?You'll learn: Can Two Changing Factors Keep the Product Unchanged?Chapter 6Two Longer Bracket Expansions2:49Two Longer Bracket ExpansionsYou'll learn: Two Longer Bracket Expansions Chapter 6Why Do the Middle Terms Cancel?2:48Why Do the Middle Terms Cancel?You'll learn: Why Do the Middle Terms Cancel?Chapter 6Multiply by Eleven Using Neighbouring Digit Sums2:46Multiply by Eleven Using Neighbouring Digit SumsYou'll learn: Multiply by Eleven Using Neighbouring Digit Sums Chapter 6Practise Multiplication by Eleven3:10Practise Multiplication by ElevenYou'll learn: Practise Multiplication by Eleven Chapter 6Multiply by 101, 1001 and Nearby Numbers3:13Multiply by 101, 1001 and Nearby NumbersYou'll learn: Multiply by 101, 1001 and Nearby Numbers Chapter 6Build the Square of Sixty-Five From Four Areas2:57Build the Square of Sixty-Five From Four AreasYou'll learn: Build the Square of Sixty-Five From Four Areas Chapter 6Why the Square of a Sum Has a Middle Term2:49Why the Square of a Sum Has a Middle TermYou'll learn: Why the Square of a Sum Has a Middle Term Chapter 6Use the Sum-Square Identity With Numbers and Letters2:57Use the Sum-Square Identity With Numbers and LettersYou'll learn: Use the Sum-Square Identity With Numbers and Letters Chapter 6Remove Two Strips—and Add the Corner Back2:49Remove Two Strips—and Add the Corner BackYou'll learn: Remove Two Strips—and Add the Corner Back Chapter 6The Algebra Behind the Square of a Difference3:06The Algebra Behind the Square of a DifferenceYou'll learn: The Algebra Behind the Square of a Difference Chapter 6Apply the Difference-Square Identity3:06Apply the Difference-Square IdentityYou'll learn: Apply the Difference-Square Identity Chapter 6Twice a Sum of Squares Becomes Two Other Squares2:44Twice a Sum of Squares Becomes Two Other SquaresYou'll learn: Twice a Sum of Squares Becomes Two Other Squares Chapter 6A Sum Times a Difference Gives a Difference of Squares2:48A Sum Times a Difference Gives a Difference of SquaresYou'll learn: A Sum Times a Difference Gives a Difference of Squares Chapter 6Choose a Useful Middle Number for Fast Products and Squares2:55Choose a Useful Middle Number for Fast Products and SquaresYou'll learn: Choose a Useful Middle Number for Fast Products and Squares Chapter 6Four Questions That Test the Identities3:15Four Questions That Test the IdentitiesYou'll learn: Four Questions That Test the Identities Chapter 6Find the Distributive and Sign Mistakes2:59Find the Distributive and Sign MistakesYou'll learn: Find the Distributive and Sign Mistakes Chapter 6Like Terms, Complete Products and Correct Factorisations2:53Like Terms, Complete Products and Correct FactorisationsYou'll learn: Like Terms, Complete Products and Correct Factorisations Chapter 6Four Ways to Count the Same Circle Pattern2:49Four Ways to Count the Same Circle PatternYou'll learn: Four Ways to Count the Same Circle Pattern Chapter 6Use a Pattern Formula to Predict Farther Steps2:40Use a Pattern Formula to Predict Farther StepsYou'll learn: Use a Pattern Formula to Predict Farther Steps Chapter 6Four Rectangles Leave One Square2:51Four Rectangles Leave One SquareYou'll learn: Four Rectangles Leave One Square Chapter 6Three Ways to Count the Space Between Rectangles2:46Three Ways to Count the Space Between RectanglesYou'll learn: Three Ways to Count the Space Between Rectangles Chapter 6Find the Missing Area Beside an L Shape2:51Find the Missing Area Beside an L ShapeYou'll learn: Find the Missing Area Beside an L Shape Chapter 6Select the Identity That Fits the Calculation3:11Select the Identity That Fits the CalculationYou'll learn: Select the Identity That Fits the Calculation Chapter 6Which Algebraic Expression Matches the Words?3:12Which Algebraic Expression Matches the Words?You'll learn: Which Algebraic Expression Matches the Words?Chapter 6Why Do Calendar Diagonal Products Differ by Seven?2:46Why Do Calendar Diagonal Products Differ by Seven?You'll learn: Why Do Calendar Diagonal Products Differ by Seven?Chapter 6Four Algebraic Claims: Which Ones Are True?2:51Four Algebraic Claims: Which Ones Are True?You'll learn: Four Algebraic Claims: Which Ones Are True?Chapter 6Find Remainders of Sums, Differences and Products2:56Find Remainders of Sums, Differences and ProductsYou'll learn: Find Remainders of Sums, Differences and Products Chapter 6The Middle Square and the Product of Its Neighbours2:52The Middle Square and the Product of Its NeighboursYou'll learn: The Middle Square and the Product of Its Neighbours Chapter 6Multiply a Sum by Half of Itself2:44Multiply a Sum by Half of ItselfYou'll learn: Multiply a Sum by Half of Itself Chapter 6Compare Products Without Fully Multiplying2:58Compare Products Without Fully MultiplyingYou'll learn: Compare Products Without Fully Multiplying Chapter 6Find the Walking-Path Area Around Two Square Plots3:01Find the Walking-Path Area Around Two Square PlotsYou'll learn: Find the Walking-Path Area Around Two Square Plots Chapter 6Two Final Tile Patterns, More Than One Counting Method3:07Two Final Tile Patterns, More Than One Counting MethodYou'll learn: Two Final Tile Patterns, More Than One Counting Method Chapter 6One Distributive Law Explains the Special Identities3:02One Distributive Law Explains the Special IdentitiesYou'll learn: One Distributive Law Explains the Special Identities Chapter 6Coin Conjoin: Turn a Triangle Upside Down4:02Coin Conjoin: Turn a Triangle Upside DownYou'll learn: Coin Conjoin: Turn a Triangle Upside Down

NCERT · Ganita Prakash · Volume 1 · Chapter 7

Proportional Reasoning 1

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Chapter 7Resize a Picture Without Distorting It2:53Resize a Picture Without Distorting ItYou'll learn: Resize a Picture Without Distorting It Chapter 7What Does a Ratio Tell Us?3:00What Does a Ratio Tell Us?You'll learn: What Does a Ratio Tell Us?Chapter 7Simplify Ratios and Recognise a Proportion2:56Simplify Ratios and Recognise a ProportionYou'll learn: Simplify Ratios and Recognise a Proportion Chapter 7Keep Lemonade Equally Sweet3:02Keep Lemonade Equally SweetYou'll learn: Keep Lemonade Equally Sweet Chapter 7Does Less Cement Necessarily Mean a Weaker Wall?2:50Does Less Cement Necessarily Mean a Weaker Wall?You'll learn: Does Less Cement Necessarily Mean a Weaker Wall?Chapter 7Compare Teacher-to-Student Ratios3:01Compare Teacher-to-Student RatiosYou'll learn: Compare Teacher-to-Student Ratios Chapter 7Draw a Blackboard at a Smaller Scale3:03Draw a Blackboard at a Smaller ScaleYou'll learn: Draw a Blackboard at a Smaller Scale Chapter 7Why an Age Ratio Changes as Both People Grow Older2:46Why an Age Ratio Changes as Both People Grow OlderYou'll learn: Why an Age Ratio Changes as Both People Grow Older Chapter 7Find the Missing Term Using a Scale Factor2:51Find the Missing Term Using a Scale FactorYou'll learn: Find the Missing Term Using a Scale Factor Chapter 7Regular, Strong or Light Coffee?3:03Regular, Strong or Light Coffee?You'll learn: Regular, Strong or Light Coffee?Chapter 7Which Proportion Statements Are True?2:53Which Proportion Statements Are True?You'll learn: Which Proportion Statements Are True?Chapter 7Find Similar Rectangles Even When They Are Turned3:02Find Similar Rectangles Even When They Are TurnedYou'll learn: Find Similar Rectangles Even When They Are Turned Chapter 7Find a Brick Wall’s Ratio From Its Repeating Unit2:56Find a Brick Wall’s Ratio From Its Repeating UnitYou'll learn: Find a Brick Wall’s Ratio From Its Repeating Unit Chapter 7Draw a Figure With Proportional Body Parts3:05Draw a Figure With Proportional Body PartsYou'll learn: Draw a Figure With Proportional Body Parts Chapter 7Scale a School Meal for Fewer Students2:47Scale a School Meal for Fewer StudentsYou'll learn: Scale a School Meal for Fewer Students Chapter 7Why Cross Multiplication Works2:55Why Cross Multiplication WorksYou'll learn: Why Cross Multiplication Works Chapter 7Convert the Time Before Scaling a Journey3:05Convert the Time Before Scaling a JourneyYou'll learn: Convert the Time Before Scaling a Journey Chapter 7Which Tea Is More Expensive?3:02Which Tea Is More Expensive?You'll learn: Which Tea Is More Expensive?Chapter 7Scale a Recipe for Guests3:11Scale a Recipe for GuestsYou'll learn: Scale a Recipe for Guests Chapter 7Estimate One Week of Earth’s Journey3:04Estimate One Week of Earth’s JourneyYou'll learn: Estimate One Week of Earth’s Journey Chapter 7Count the Wall Length Before Estimating Bricks3:08Count the Wall Length Before Estimating BricksYou'll learn: Count the Wall Length Before Estimating Bricks Chapter 7Faster Travel Does Not Mean More Travel Time2:55Faster Travel Does Not Mean More Travel TimeYou'll learn: Faster Travel Does Not Mean More Travel Time Chapter 7Are Bigger Packs Priced Proportionally?3:26Are Bigger Packs Priced Proportionally?You'll learn: Are Bigger Packs Priced Proportionally?Chapter 7Share Twelve Counters Unequally2:43Share Twelve Counters UnequallyYou'll learn: Share Twelve Counters Unequally Chapter 7Divide a Whole Using the Sum of the Ratio Terms2:48Divide a Whole Using the Sum of the Ratio TermsYou'll learn: Divide a Whole Using the Sum of the Ratio Terms Chapter 7Share Profit in the Ratio of Investment2:54Share Profit in the Ratio of InvestmentYou'll learn: Share Profit in the Ratio of Investment Chapter 7How Much Cement Must Be Added to Change a Ratio?2:55How Much Cement Must Be Added to Change a Ratio?You'll learn: How Much Cement Must Be Added to Change a Ratio?Chapter 7Divide Money and Ingredient Totals3:02Divide Money and Ingredient TotalsYou'll learn: Divide Money and Ingredient Totals Chapter 7Adding One Colour Changes Both the Total and the Ratio2:50Adding One Colour Changes Both the Total and the RatioYou'll learn: Adding One Colour Changes Both the Total and the Ratio Chapter 7Convert Length, Area and Volume With the Right Factor3:13Convert Length, Area and Volume With the Right FactorYou'll learn: Convert Length, Area and Volume With the Right Factor Chapter 7Why Celsius and Fahrenheit Are Not in Direct Proportion3:08Why Celsius and Fahrenheit Are Not in Direct ProportionYou'll learn: Why Celsius and Fahrenheit Are Not in Direct Proportion Chapter 7Juice Ratios and the Number of Buses Needed2:57Juice Ratios and the Number of Buses NeededYou'll learn: Juice Ratios and the Number of Buses Needed Chapter 7Which City Is More Crowded?3:06Which City Is More Crowded?You'll learn: Which City Is More Crowded?Chapter 7A Crane’s Neck Ratio and a Historical Saffron Problem2:57A Crane’s Neck Ratio and a Historical Saffron ProblemYou'll learn: A Crane’s Neck Ratio and a Historical Saffron Problem Chapter 7When Will the Siblings’ Age Ratio Become One to Two?2:43When Will the Siblings’ Age Ratio Become One to Two?You'll learn: When Will the Siblings’ Age Ratio Become One to Two?Chapter 7Compare Masses for Equal Volumes3:08Compare Masses for Equal VolumesYou'll learn: Compare Masses for Equal Volumes Chapter 7Scale a Farming Quantity and a Land Price by Area3:11Scale a Farming Quantity and a Land Price by AreaYou'll learn: Scale a Farming Quantity and a Land Price by Area Chapter 7Water Flow and Ploughing Time: Identify What Stays Fixed2:52Water Flow and Ploughing Time: Identify What Stays FixedYou'll learn: Water Flow and Ploughing Time: Identify What Stays Fixed Chapter 7Estimate the Metal Cost in the Given Coin Model3:05Estimate the Metal Cost in the Given Coin ModelYou'll learn: Estimate the Metal Cost in the Given Coin Model Chapter 7Choose the Right Proportional Reasoning Strategy3:28Choose the Right Proportional Reasoning StrategyYou'll learn: Choose the Right Proportional Reasoning Strategy Chapter 7Binairo: Balance, Avoid Triples and Keep Rows Unique5:23Binairo: Balance, Avoid Triples and Keep Rows UniqueYou'll learn: Binairo: Balance, Avoid Triples and Keep Rows Unique

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Volume 1 · Chapter 2 · Power Play · Volume 1 · Chapter 3 · A Story of Numbers

Volume 1 · Chapter 2 · Power Play50 videos coming
Volume 1 · Chapter 3 · A Story of Numbers46 videos coming