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Unit 3: Place Value & Decimals

PAR-BR5-U3.pdf

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Students will master reading, writing, and comparing decimals to the thousandths place, as well as rounding, adding, subtracting, and explaining such computation with decimals to the hundredths place.
Understanding that in a multi-digit number, each digit represents ten times what it represents in the place to the right and 1/10 what it represents in the place to the left will be developed in this unit, and revisited for mastery in Unit 7.
Ability to explain placement of decimal points and zeros when multiplying and dividing by powers of ten will be developed in this unit, and revisited for mastery in Unit 7.
Measurement conversions will be developed in this unit and revisited for mastery in Units 4 and 8.
Division will continue to be developed in this unit, and revisited for mastery in Units 4, 7, and 8.

The Standard Algorithm for multiplication will be introduced in the next unit. Please refrain from teaching this prior to its introduction, and encourage students to practice with learned strategies, as they will lead students into conceptual understanding of the algorithm and its efficiency.

A similar strategy to the standard algorithm for division (long division) will be introduced in the next unit. Please refrain from teaching this prior to its introduction, and encourage students to practice with learned strategies, as they will lead students into conceptual understanding of the algorithm and its efficiency.

Relating Fractions to Decimals

Below you will find resources to help show and explain the connection between fractions and decimals.

Home Connection Pages:

p. 41, 42, 46, 47, 48, and 65

Read and Write Decimal Numbers to the Thousandths

Below you will find resources to help read and write decimal numbers to the Thousandths.

Home Connection Pages:

p. 45, 46, 47, 48, 49, 50, and 65

Represent Decimals to the Thousandths (Using Base Ten Blocks and Fractions)
Hunt For Decimals (Game to practice accurately reading decimals)
Writing Decimals in Expanded Form
Decimal Practice (In Picture, Numeral Form, Word Form and Expanded Form)

Multiplying and Dividing by Tens

Below you will find resources to help understand that in a multi-digit number, each digit represents ten times what it represents in the place to the right and 1/10 what it represents in the place to the left. Ability to explain placement of decimal points and zeros when multiplying and dividing by powers of ten is also addressed.

Home Connection Pages:

p. 43, 44, 55, 56, and 66

Visuals to Show Multiplying Decimals by 10 (Scroll down to commentary for visual and detailed explanation)
Practice Multiplying Decimals by 10, 100, 1,000 (10 squared is x 100, 10 cubed is x 1,000, etc.)
Explanation of How Multiplying and Dividing by 10 Relates to Place Value

Comparing Decimals

Below you will find resources to help compare decimals.

Home Connection Pages:

p. 47, 49, 50, and 65

Comparing Decimals Using a Number Line (Lesson with Practice)
Visuals to Show Decimal Comparisons Using Number Lines (Scroll down to commentary for visual and detailed explanation)
Comparing Decimals Using Base-10 Blocks (Scroll down to commentary for visual and detailed explanation)
Comparing Decimals Using Base-10 Blocks (Practice Game)

Rounding Decimals

Below you will find resources to help round decimals to the nearest whole, tenth and hundredth.

Home Connection Pages:

p. 51, 52, 53, 54, 55, and 56

Rounding Decimals to Any Place (Lessons with Practice)
Rounding Decimals on a Number Line (Practice Game)
Roll and Round to the Nearest Tenth (Game)

Adding and Subtracting Decimals

Below you will find resources to help add and subtract decimals.

Home Connection Pages:

p. 41, 42, 43, 52, and 54

Metric Conversions

Below you will find resources to help convert Metric Units.

Home Connection Pages:

p. 53 and 56

Compare Size of Metric Units in Order to Convert (Lesson and Practice)
Use a Place Value Chart to Convert Metric Units (Lesson and Practice)

Division Area Model

Below you will find resources to help divide using an area model.

Home Connection Pages:

p. 57-63

Solve Division Problems Using Area Model (Lesson and Practice)
Using Arrays for Multiplication and Division - Visuals and explanations that link the use of arrays for multiplying and dividing.

Additional Games for Extra Practice

Making Change - Practice adding and subtracting decimals.
Monster School Bus - In this game, students visualize groupings of ten using whole numbers and decimals as they pick up children along a monster school bus route.
Battleship Numberline - Practice placing whole numbers, fractions, and/or decimals in the appropriate spot of a number line.
Matching Math: Metric Length - Practice converting amongst units in the metric system.
Measurement Mania - Practice metric conversions by placing quantities on a number line/tape measure.

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