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NCERT · Ganita Prakash · Volume 1 · Chapter 2

Arithmetic Expressions

56 videos in this chapter

Expressions and their values

2 videos

Chapter 2Turn a Calculation Story into an Arithmetic Expression3:28Turn a Calculation Story into an Arithmetic ExpressionYou'll learn: Write a story's calculation as an arithmetic expression and read what each operation means.Chapter 2Find the Value of an Arithmetic Expression3:11Find the Value of an Arithmetic ExpressionYou'll learn: Evaluate an expression term by term to find its value.

Comparing expressions through reasoning

2 videos

Chapter 2Compare Two Expressions Without Calculating Everything3:16Compare Two Expressions Without Calculating EverythingYou'll learn: Compare two expressions by tracking how their parts differ, without calculating everything.Chapter 2Change an Expression While Keeping Its Value3:17Change an Expression While Keeping Its ValueYou'll learn: Change parts of an expression in balancing ways so its value stays the same.

Brackets and meaning

2 videos

Chapter 2How Do Brackets Change a Calculation's Meaning?3:09How Do Brackets Change a Calculation's Meaning?You'll learn: Brackets group quantities, so the same numbers with different brackets can mean different calculations.Chapter 2Evaluate a Bracketed Expression One Group at a Time3:15Evaluate a Bracketed Expression One Group at a TimeYou'll learn: Evaluate the bracketed groups first, then combine the results.

Identifying terms

2 videos

Chapter 2Rewrite Subtraction as Addition of an Opposite3:25Rewrite Subtraction as Addition of an OppositeYou'll learn: Subtracting a number is the same as adding its opposite, which turns expressions into sums of terms.Chapter 2Identify Whole Terms Before Evaluating an Expression3:28Identify Whole Terms Before Evaluating an ExpressionYou'll learn: Products and quotients form single terms; identify the terms first, then add them.

Swapping and grouping terms

2 videos

Chapter 2Reorder Signed Terms Without Changing Their Value3:29Reorder Signed Terms Without Changing Their ValueYou'll learn: Signed terms can be added in any order and grouping without changing the value.Chapter 2When Does Swapping Numbers Change an Expression?3:14When Does Swapping Numbers Change an Expression?You'll learn: Swapping numbers inside a subtraction or division changes the value; swapping whole signed terms does not.

Removing brackets and compensating changes

2 videos

Chapter 2Remove Brackets Without Losing the Signs3:21Remove Brackets Without Losing the SignsYou'll learn: A minus sign before a bracket flips the sign of every term inside when the bracket is removed.Chapter 2Subtract 9 by Subtracting 10 and Adding 13:26Subtract 9 by Subtracting 10 and Adding 1You'll learn: Changing one term changes the total by the same amount, so subtract 10 and add 1 to subtract 9.

Distribution and expression transformations

3 videos

Chapter 2Why Can Multiplication Spread Across a Sum or Difference?3:22Why Can Multiplication Spread Across a Sum or Difference?You'll learn: A number times a sum equals the sum of the separate products, shown with a grid of objects.Chapter 2Use a Common Factor to Put Terms Back into Brackets3:18Use a Common Factor to Put Terms Back into BracketsYou'll learn: Take out a common factor to put terms back into brackets.Chapter 2Adjust a Product Without Changing Its Value3:15

Expression-building exploration

1 video

Chapter 2Build Different Expressions for the Same Target Number3:15Build Different Expressions for the Same Target NumberYou'll learn: Build several different expressions that hit the same target using restricted numbers and operations.

Arithmetic Expressions

40 videos

Chapter 2What Is an Arithmetic Expression?3:54What Is an Arithmetic Expression?You'll learn: What Is an Arithmetic Expression?Chapter 2Different Expressions Can Have the Same Value3:58Different Expressions Can Have the Same ValueYou'll learn: Different Expressions Can Have the Same Value Chapter 2Comparing and Ordering Arithmetic Expressions4:06Comparing and Ordering Arithmetic Expressions

Adjust a Product Without Changing Its Value

You'll learn: Multiply one factor and divide another by the same number to keep a product unchanged.

You'll learn: Comparing and Ordering Arithmetic Expressions

Chapter 2Comparing Sums Without Calculating Them Fully3:49Comparing Sums Without Calculating Them FullyYou'll learn: Comparing Sums Without Calculating Them Fully

Chapter 2Comparing Differences Without Calculating Them Fully3:59Comparing Differences Without Calculating Them FullyYou'll learn: Comparing Differences Without Calculating Them Fully

Chapter 2Completing Expressions to Make Both Sides Equal3:50Completing Expressions to Make Both Sides EqualYou'll learn: Completing Expressions to Make Both Sides Equal

Chapter 2Why the Order of Operations Matters: The Marble Story3:56Why the Order of Operations Matters: The Marble StoryYou'll learn: Why the Order of Operations Matters: The Marble Story

Chapter 2Using Brackets to Show What Happens First3:51Using Brackets to Show What Happens FirstYou'll learn: Using Brackets to Show What Happens First

Chapter 2Finding Change: Why Brackets Matter in Subtraction3:55Finding Change: Why Brackets Matter in SubtractionYou'll learn: Finding Change: Why Brackets Matter in Subtraction

Chapter 2Identifying Terms and Keeping Their Signs3:58Identifying Terms and Keeping Their SignsYou'll learn: Identifying Terms and Keeping Their Signs

Chapter 2Why a Product or Quotient Can Be One Term3:59Why a Product or Quotient Can Be One TermYou'll learn: Why a Product or Quotient Can Be One Term

Chapter 2Swapping Terms: The Commutative Property of Addition3:54Swapping Terms: The Commutative Property of AdditionYou'll learn: Swapping Terms: The Commutative Property of Addition

Chapter 2Grouping Terms: The Associative Property of Addition4:02Grouping Terms: The Associative Property of AdditionYou'll learn: Grouping Terms: The Associative Property of Addition

Chapter 2Evaluating an Expression by Finding Its Terms First4:11Evaluating an Expression by Finding Its Terms FirstYou'll learn: Evaluating an Expression by Finding Its Terms First

Chapter 2Writing Expressions for a Restaurant Bill3:45Writing Expressions for a Restaurant BillYou'll learn: Writing Expressions for a Restaurant Bill

Chapter 2Writing Expressions for Groups and Leftovers3:56Writing Expressions for Groups and LeftoversYou'll learn: Writing Expressions for Groups and Leftovers

Chapter 2Writing Expressions for Rice Packets and Money Payments4:03Writing Expressions for Rice Packets and Money PaymentsYou'll learn: Writing Expressions for Rice Packets and Money Payments

Chapter 2Matching Tile Arrangements with Expressions3:48Matching Tile Arrangements with ExpressionsYou'll learn: Matching Tile Arrangements with Expressions

Chapter 2Turning Stories, Ticket Costs and Window Measurements into Expressions3:51Turning Stories, Ticket Costs and Window Measurements into ExpressionsYou'll learn: Turning Stories, Ticket Costs and Window Measurements into Expressions

Chapter 2Removing Brackets After a Minus Sign: Subtracting a Sum3:51Removing Brackets After a Minus Sign: Subtracting a SumYou'll learn: Removing Brackets After a Minus Sign: Subtracting a Sum

Chapter 2Removing Brackets After a Minus Sign: Subtracting a Difference3:55Removing Brackets After a Minus Sign: Subtracting a DifferenceYou'll learn: Removing Brackets After a Minus Sign: Subtracting a Difference

Chapter 2Removing Brackets After a Plus Sign3:57Removing Brackets After a Plus SignYou'll learn: Removing Brackets After a Plus Sign

Chapter 2Tinker the Terms: Predicting How a Sum Changes4:05Tinker the Terms: Predicting How a Sum ChangesYou'll learn: Tinker the Terms: Predicting How a Sum Changes

Chapter 2Matching Equivalent Expressions and Placing Brackets4:25Matching Equivalent Expressions and Placing BracketsYou'll learn: Matching Equivalent Expressions and Placing Brackets

Chapter 2Making Different Values Using Two, Three and Five3:51Making Different Values Using Two, Three and FiveYou'll learn: Making Different Values Using Two, Three and Five

Chapter 2Subtract Ten and Add One: Explaining Mental Subtraction3:51Subtract Ten and Add One: Explaining Mental SubtractionYou'll learn: Subtract Ten and Add One: Explaining Mental Subtraction

Chapter 2Multiplying a Sum: Understanding the Distributive Property4:00Multiplying a Sum: Understanding the Distributive PropertyYou'll learn: Multiplying a Sum: Understanding the Distributive Property

Chapter 2Multiplying a Difference: Understanding the Distributive Property3:53Multiplying a Difference: Understanding the Distributive PropertyYou'll learn: Multiplying a Difference: Understanding the Distributive Property

Chapter 2Tinker the Terms: Predicting How a Product Changes3:44Tinker the Terms: Predicting How a Product ChangesYou'll learn: Tinker the Terms: Predicting How a Product Changes

Chapter 2Using Nearby Round Numbers to Multiply Mentally3:50Using Nearby Round Numbers to Multiply MentallyYou'll learn: Using Nearby Round Numbers to Multiply Mentally

Chapter 2Completing and Comparing Distributive Expressions4:04Completing and Comparing Distributive ExpressionsYou'll learn: Completing and Comparing Distributive Expressions

Chapter 2Making Fourteen and Counting Picture Totals in Different Ways3:49Making Fourteen and Counting Picture Totals in Different WaysYou'll learn: Making Fourteen and Counting Picture Totals in Different Ways

Chapter 2Expressions for Weekly Supplies and Yearly Savings4:02Expressions for Weekly Supplies and Yearly SavingsYou'll learn: Expressions for Weekly Supplies and Yearly Savings

Chapter 2The Climbing Snail: Why the Final Day Is Different3:40The Climbing Snail: Why the Final Day Is DifferentYou'll learn: The Climbing Snail: Why the Final Day Is Different

Chapter 2Counting Stories Read: Choosing the Correct Expression3:54Counting Stories Read: Choosing the Correct ExpressionYou'll learn: Counting Stories Read: Choosing the Correct Expression

Chapter 2Finding Efficient Ways to Add Alternating Positive and Negative Terms3:47Finding Efficient Ways to Add Alternating Positive and Negative TermsYou'll learn: Finding Efficient Ways to Add Alternating Positive and Negative Terms

Chapter 2Comparing Expressions and Recognising Equivalent Forms4:28Comparing Expressions and Recognising Equivalent FormsYou'll learn: Comparing Expressions and Recognising Equivalent Forms

Chapter 2Creating Ten Different Expressions for One Number3:58Creating Ten Different Expressions for One NumberYou'll learn: Creating Ten Different Expressions for One Number

Chapter 2Expression Engineer: Making Numbers with Four Fours3:53Expression Engineer: Making Numbers with Four FoursYou'll learn: Expression Engineer: Making Numbers with Four Fours

Chapter 2Expression Engineer: Using Each Given Number Exactly Once3:53Expression Engineer: Using Each Given Number Exactly OnceYou'll learn: Expression Engineer: Using Each Given Number Exactly Once