➕ 5th Grade Math · Unit 2

Expressions and Whole Number Operations

17 short narrated lessons in 3 chapters, each with pictures, a quiz with a hint and a second try, and an explanation for every answer.

Standards: 5.OA.A.1 5.OA.A.2 5.NBT.A.2 5.NBT.B.5 5.NBT.B.6

Picture from the lesson “Parentheses Go First”
Parentheses Go First
Picture from the lesson “Which Step Comes First?”
Which Step Comes First?
Picture from the lesson “Brackets and Braces”
Brackets and Braces

What your child will learn

Numerical expressions

  1. Parentheses Go FirstEvaluate an expression with parentheses by doing the work inside the parentheses first.
  2. Which Step Comes First?Evaluate expressions by multiplying and dividing before adding and subtracting, working from left to right.
  3. Brackets and BracesEvaluate expressions that use parentheses inside brackets and braces, working from the inside out.
  4. Turning Words into MathWrite an expression for words like add eight and seven, then multiply by two.
  5. Compare Without CalculatingExplain how two expressions compare without calculating, like seeing that three times a sum is three times as large as the sum.
  6. Expressions Review ReviewReview writing and evaluating expressions with parentheses.

Multiplying whole numbers

  1. Powers of TenWrite powers of ten with exponents, like ten to the third power for one thousand, and explain the pattern of zeros.
  2. Multiplying with ZerosMultiply numbers by multiples of ten, one hundred and one thousand using basic facts and patterns of zeros.
  3. Multiplying by Two-Digit NumbersMultiply a three-digit number by a two-digit number with the standard algorithm.
  4. Bigger Numbers, Same StepsMultiply a four-digit number by a two-digit number with the standard algorithm and check with an estimate.
  5. Multiplying Review ReviewReview powers of ten and multiplying multi-digit whole numbers.

Dividing by two-digit numbers

  1. Dividing with ZerosDivide numbers by multiples of ten, like four thousand eight hundred divided by sixty, using basic facts.
  2. Estimating QuotientsEstimate a quotient by using compatible numbers that divide easily.
  3. Dividing with Partial QuotientsDivide a four-digit number by a two-digit number by subtracting groups of the divisor.
  4. Dividing with Area ModelsShow a division with a two-digit divisor using an area model and explain each step with multiplication.
  5. Division Review ReviewReview dividing by two-digit divisors and checking quotients.
  6. Unit 2 Test: Expressions, Multiplying and DividingShow what you learned in the whole unit (Numerical expressions, Multiplying whole numbers, Dividing by two-digit numbers) by answering mixed questions.

Try a question from this unit

From the lesson “Parentheses Go First”

Evaluate (2 + 6) × 3.

  • 20
  • 11
  • 24
  • 18
Show the answer

24. Inside the parentheses, 2 + 6 = 8. Then 8 × 3 = 24.

Hint kids see after a wrong try: “Do the work inside the parentheses first.”

Key words

  • expression
  • parentheses
  • evaluate
  • order of operations
  • brackets
  • braces
  • interpret
  • compare
  • power of ten
  • exponent
  • multiple of ten
  • standard algorithm
  • partial product
  • estimate
  • product
  • divisor
  • quotient
  • compatible numbers
  • partial quotients
  • area model
  • dividend

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Narrated lessons, pictures and quizzes for every grade from K to 8. Works offline.

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