Unit 1/ Module 1 
Place Value and Decimal Fractions

Multiplication Patterns on the Place Value Chart
  • Lesson 1: Reason concretely and pictorially using place value understanding to relate adjacent base ten units from millions to thousands. 
  • Lesson 2: Reason abstractly using place value understanding to relate adjacent base ten units from the millions to thousandths
  • Lesson 3: Use exponents to name place value units and explain patterns in the placement of the decimal point. 
  • Lesson 4: Use exponents to denote powers of 10 with application to metric conversions.      
RELATED LINKS 
Place Value Game Fun Brain
More Fun Brain Place Value 
Exponents Otter Rush 
Decimal Fractions and Place Value Patterns
  • Lesson 5:  Name decimal fractions in expanded, unit, and word forms by applying place value reasoning.
  • Lesson 6: Compare decimal fractions to the thousandths using  like units and express comparisons with >, <, = .   
RELATED LINKS
Compare Decimals
Place Value and Rounding Decimal Fractions
  • Lesson 7–8: Round a given decimal to any place using place value understanding and the vertical number line.   
RELATED LINKS
Decimal Rounding
Adding and Subtracting Decimals
  • Lesson 9:  Add decimals using place value strategies and relate those strategies to a written method.
  • Lesson 10: Subtract decimals using place value strategies and relate those strategies to a written method.    
RELATED LINKS
Adding Decimals
Subtracting Decimals
Multiplying Decimals
  • Lesson 11: Multiply a decimal fraction by single-digit whole numbers, relate to a written method through application of the area model and place value understanding, and explain the reasoning used.
  • Lesson 12:  Multiply a decimal fraction by single-digit whole numbers, including using estimation to confirm the placement of the decimal point.
RELATED LINKS 
Multiply Decimals
More Multiplying Decimals
Dividing Decimals
  • Lesson 13:  Divide decimals by single-digit whole numbers involving easily identifiable multiples using place value understanding and relate to a written method.
  • Lesson 14:  Divide decimals with a remainder using place value understanding and relate to a written method.
  • Lesson 15: Divide decimals using place value understanding including remainders in the smallest unit.
  • Lesson 16:  Solve word problems using decimal operations.    
RELATED LINKS
Divide Decimals
Steps for Long Division- animated 
Printable Decimal Division Game
Division Practice
Dividing Decimals Video- Kahn Academy
Vocabulary & Terminology 
  • Thousandths (related to place value)
  • Exponents (how many times a number is to be used in a multiplication sentence)
  • Millimeter (a metric unit of length equal to one thousandth of a meter)
  • Equation (statement that two mathematical expressions have the same value, indicated by use of the symbol =; e.g., 12 = 4 x 2 + 
  • Centimeter (cm, a unit of measure equal to one hundredth of a meter)
  • Tenths (as related to place value)
  • Hundredths (as related to place value)
  • Place value (the numerical value that a digit has by virtue of its position in a number)
  • Base ten units (place value units)
  • Digit (a numeral between 0 and 9)
  • Standard form (a number written in the format: 135)
  • Expanded form (e.g., 100 + 30 + 5 = 135)
  • Unit form (e.g., 3.21 = 3 ones 2 tenths 1 hundredth)
  • Word form (e.g., one hundred thirty-five)
  • Number line (a line marked with numbers at evenly spaced intervals)
  • Bundling, making, renaming, changing, regrouping, trading 
  • Unbundling, breaking, renaming, changing, regrouping, trading 
  • >, <, = (greater than, less than, equal to)
  • Number sentence (e.g., 4 + 3 = 7)
Focus Standards for Mathematical Practice
MP.6 Attend to precision.  Students express the units of the base ten system as they work with decimal operations, expressing decompositions and compositions with understanding, e.g., “9 hundredths + 4 hundredths = 13 hundredths.  I can change 10 hundredths to make 1 tenth.”

MP.7  Look for and make use of structure.   Students explore the multiplicative patterns of the base ten system when they use place value charts and disks to highlight the relationships between adjacent places.  Students also use patterns to name decimal fraction numbers in expanded, unit, and word forms.

MP.8 Look for and express regularity in repeated reasoning.   Students express regularity in repeated reasoning when they look for and use whole number general methods to add and subtract decimals and when they multiply and divide decimals by whole numbers.  Students also use powers of ten to explain patterns in the placement of the decimal point and generalize their knowledge of rounding whole numbers to round decimal numbers.
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