Grade 5 Unit 2

Expanding Understanding of Place Value to Decimals

Unit 2 Overview:

This unit is about understanding our place value system into the thousandths place. Students are familiar with expanded form notation and can use this to expand on this new knowledge, as well as you can begin to introduce the parenthesis while exploring expanded form. This unit is just the beginning of using parentheses, brackets and braces to write and evaluate expressions. Showing students what these symbols look like with just a few operations will set the groundwork for upcoming units.

  1. Students will recognize that in any multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left. (NBT.A.1)
  2. Students will denote powers of 10 and use symbols to compare two powers of 10 expressed exponentially (Example: 10 to the power of 2 and 10 to the power 5) (NBT.A.2)
  3. Students will use parentheses, brackets, or braces in a numerical expressions and evaluate expressions with these symbols. (OA.A.1)
  4. Students will read, write, and compare decimals to thousandths using base ten numerals, number names & expanded form. (NBT.A.3a)
  5. Students will compare decimals using symbols and rounding strategies and use place value understanding to round decimals to any place. (NBT.B.3b & NBT.A.4)
  6. Students will determine whether to round up or down depending on the context of the situation. (NBT.A.4)
  7. Students will demonstrate mastery of adding and subtracting decimals to the hundredths and apply this concept to a real world context. (GLS is mastery of all 4 operations) (NBT.B.7)
Grade 5 Unit 2 Family Resource

Home Resources

Print Resources

Helpful Hint: Understanding Base 10 System

Helpful Hints: Reading, writing, and comparing decimals

Helpful Hint: Rounding Rules

Helpful Hints: Using place value to accurately add decimals

Multiply and Divide by 10, 100, and 1000 Matching Game-A printable matching game for multiplying and dividing by 10, 100 and 1000.

Decimal Place Value- Printable worksheet to practice identifying the place value in decimals.

Pattern of zeros and power of 10- Use a number cube, roll a 4 digit number and multiply or divide by powers of 10.

Working with decimals activity- A printable cumulative activity for writing a decimal in word and expanded form, multiplying and dividing by powers of 10, rounding, and comparing decimals.

Matching Game -Printable matching game for writing decimals in standard, written, and expanded form.

Hunt For Decimals- Printable game for naming decimals.

Decimal Place Value Card Game-Create the largest decimal using a deck of cards and printable recording sheets.

Miltie Math-head Takes Mound- Printable book relating baseball to decimals.

Pi Day- Printable book relating Pi Day to decimals.

Visit the grocery store or use a menu to round dollar amounts to the nearest dollar, or nearest tenths (ten cent).

Decimal Cross Number Puzzle-Printable practice for adding decimals.

Checking Account- Printable game using a checking account/checkbook to practice adding and subtracting decimals.

Race to Zero- Printable game to practice subtraction of decimals.

Printable Learning Tools

Hundredths Grid- Printable grid for comparing decimals.

Thousandths Grid- Printable grid for comparing decimals.

Place Value Chart with Decimals- Printable place value chart to for comparing numbers

Number Lines- Printable blank number lines for rounding numbers.

Place Value Paint Chip Activity-Use paint chips from a hardware store (4 colors or more) and create a moveable place value activity.

Writing Expressions- Printable activities and worksheets to practice identifying and writing expressions.

Websites/Games /Videos

Khan Academy- Video on Patterns in powers of 10

Animated Math Model: Add and Subtract Decimals - Online lesson to show how to add and subtract decimals.

Adding Decimals Less Than One-Online game to practice adding decimals less than one.

Make 24 Game - Arrange number cards and symbols to make expressions equal 24 by powers of 10

Multiply by Powers of 10 Practice-Online game to practice multiplying and dividing by powers of 10

Number Values- online game to compare decimals.

Place Value Hockey- online game to identify place value of whole numbers and decimals.

Scooter Quest: Rounding Decimals-Online game to practice rounding decimals

Rounding Decimals to the Nearest Tenth-Online game to practice rounding decimals to the nearest tenth

Math Words

These are vocabulary words that students will be exposed to throughout the unit.

  • braces
  • brackets
  • decimals
  • decimal point
  • digit
  • equation
  • evaluate
  • expanded form
  • exponent
  • exponentially
  • expression
  • hundredth
  • inequality
  • order of operations
  • parentheses
  • place value
  • powers of ten
  • standard form
  • tenths
  • thousandths
  • word form