## 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.
Place Value Game Fun BrainRELATED LINKS 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 LINKSCompare 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.
Decimal RoundingRELATED LINKSAdding 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 LINKSAdding 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 LINKSDivide 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 PracticeMP.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. |