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5th Grade Unit 1: Whole Number and Decimal Fraction Place Value to the One Thousandths

(4 Weeks)

Stage 1 – Desired Results

Established Goals

Unit Description

Students continue to extend and apply their understanding of the place value system as they analyze multi-digit

numbers and round decimals to any place. They also read, write, and compare decimals to thousandths. The

Mathematical Practices should be evident throughout instruction and connected to the content addressed in this unit.

Students should engage in mathematical tasks that provide an opportunity to connect content and practices.

Common Core Learning Standards

5.NBT. 5.NBT.1 Recognize that in a 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.

5.NBT. 5.NBT.2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain

patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole

number exponents to denote powers of 10.

5.NBT. 5.NBT.3 Read, write, and compare decimals to thousandths.

a. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g.,

347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).

b. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to

record the results of comparisons.

5.NBT. 5.NBT.4 Use place value understanding to round decimals to any place

5.MD.1 Convert among different-sized standard measurement units within a given measure (and use these conversions

in solving multi-step word problems).

Common Core Standards of Mathematical Practice

1. Make sense of problems and persevere in solving them.

2. Reason abstractly and quantitatively.

3. Construct viable arguments and critique the reasoning of others.

4. Model with mathematics.

5. Use appropriate tools strategically.

6. Attend to precision.

7. Look for and make use of structure.

8. Look for and express regularity in repeated reasoning.

ESL Language Standards

Standard 1: Students will listen, speak, read, and write in English for information and understanding.

1.1. Identify and use reading and listening strategies to make text comprehensible and meaningful.

1.3 Select information appropriate to the purpose of the investigation, relate ideas from one written or spoken source to

another, and exclude nonessential information.

1.5 Formulate, ask, and respond to various question forms to obtain, clarify, and extend information and meaning.

1.7 Present information clearly in a variety of oral and written forms for different audiences and purposes related to all

academic content areas.

1.9 Convey and organize information, using facts, details, illustrative examples, and a variety of patterns and structures.

1.16 Apply learning strategies to acquire information and make texts comprehensible and meaningful.

Math Worksheet - Whole Number And Decimal Fraction Place Value To The One Thousandths