5.2 numbers and operations (rational numbers) update

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Unit 5.2 Number and Operations (Rational Numbers) Numbers can be written in many different ways to help us solve problems.

Unit 5.2 - Number and Operations (Rational Numbers)Numbers can be written in many different ways to help us solve problems.Multiplication/Division facts: 0 through 12 Basic Fraction and Decimal Equivalencies for halves, fourths, and thirds

How do I perform operations on rational numbers?5.1.2 - Estimate fraction and decimal sums or differences) 5.2.5- Solve addition and subtraction problems involving both fractions and decimals. 5.2.6- Add and subtract proper and improper fractions, as well as mixed numbers.

How do I read and write rational numbers?5.2.1 - Read and write numbers from millions to millionths in various contexts. 5.2.8- Write terminating decimals in the form of fractions or mixed numbers.

How do I compare the values of rational numbers?

5.2.7 Recognize equivalent representations for the same number. 5.2.9 Compare whole numbers, decimals and fractions using the symbols , and =.

Unit 5.2 Number and Operations (Rational Numbers) Numbers can be written in many different ways to help us solve problems.

Month

Daily Learning ObjectivesWeek Day

KIPPsters will be able to5.2.1 - Name and write decimal numbers to the hundred thousandths place.

State Performance Indicators

Topical Essential QuestionsHow do I read and write rational numbers (decimal numbers)?

Vocabulary and ReferenceRational Numbers (not whole) Decimals Terminating vs. nonterminating, repeating vs. non-repeating, as whole number values Number line Money (dollars and cents)

Assessment EvidenceDaily Reinforcement (2 minutes timed): Multiplication/Division Facts 0-12.

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1 of 11 (Week of 10/11 before Fall Break)

5.2.2 - Identify the place value of a digit in a decimal number up to the hundred thousandths place. 5.2.3 - Name and write decimal numbers to the millionths place. 5.2.4 - Identify the place value of a digit in a decimal number up to the millionths place. 5.2.1 Read and write numbers from millions to millionths in various contexts.

October 2010

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5.2.5 - Identify a decimal number on a number line. 5.2.6 Order decimal numbers from least to greatest. Interim Assessment I (Numbers and Operations I and II)

Unit 5.2 Number and Operations (Rational Numbers) Numbers can be written in many different ways to help us solve problems.

Month

Daily Learning ObjectivesWeek Day

KIPPsters will be able to5.2.7 - Compare decimal numbers using the symbols , and =.

State Performance Indicators5.2.9 Compare whole numbers, decimals, (and fractions) using the symbols , and =.

Topical Essential QuestionsHow do I compare rational numbers (decimal numbers)?

Vocabulary and ReferenceComparison Symbols , , , =,

Assessment EvidenceDaily Reinforcement (2 minutes timed): Multiplication/Division facts 0-12.

2 of 11 (Week of 10/25) Week After Fall Break

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5.2.8 - Compare decimal and whole numbers using the symbols , and =. 5.2.9 - Estimate decimal numbers up to the nearest tenth, hundredth, or thousandth. 5.2.10 - Use mental math to estimate decimal sums and differences up to the whole and tenth. 5.1.2 - Estimate (fraction and decimal) sums or differences) 5.2.5- Solve addition (and subtraction) problems involving (both fractions) and decimals. How do I add (and subtract) rational numbers?

Estimation Rules Vertical column method for addition of decimal numbers.

October 2010

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5.2.11 - Add decimal numbers up to the thousandths place.

5.2.12 - Solve story problems involving combining decimal numbers using a problem solving method.

Unit 5.2 Number and Operations (Rational Numbers) Numbers can be written in many different ways to help us solve problems.Month

Daily Learning ObjectivesWeek Day

KIPPsters will be able to5.2.13 - Subtract decimal numbers up to the thousandths place.

State Performance Indicators

Topical Essential QuestionsHow do I subtract rational numbers (decimal numbers)?

Vocabulary and ReferenceVertical Column Method for subtraction of decimal numbers Number line Pizza Pie Model (cardstock common fraction/decimal equivalencies manipulatives)

Assessment EvidenceDaily Reinforcement (2 minutes timed): Multiplication facts 0-12.

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3 of 11 (Week of 11/1)

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5.2.14 - Solve separating or comparing story problems involving decimal numbers.

5.2.5- Solve addition (and subtraction) problems involving (both fractions) and decimals.

November 2010

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5.2.15 - Create a physical model of common fraction and decimal equivalencies, including halves, fourths, thirds, sixths, and eighths.

How do I read and write rational numbers (fractions)?

Common Equivalent Fractions Decimals

5.2.16 - Represent common equivalent decimals and fractions with a physical model, such as 2/4 = and 0.5 = . 13 of 51.5 5.2.7 Recognize equivalent representations for the same number.

How do I compare the values of rational numbers?

Unit 5.2 Number and Operations (Rational Numbers) Numbers can be written in many different ways to help us solve problems.Month

Daily Learning ObjectivesWeek Day

KIPPsters will be able to5.2.17 - Identify common equivalent decimals and fractions, including halves, fourths, thirds, sixths, and eighths on a number line.

State Performance Indicators5.2.7 Recognize equivalent representations for the same number.

Topical Essential QuestionsHow do I compare the values of rational numbers?

Vocabulary and ReferenceFractions numerator, denominator, equivalent, common denominators, improper fractions, whole numbers represented as fractions, including 1.

Assessment EvidenceDaily Reinforcement (2 minutes timed): Common equivalent decimals and fractions (halves, thirds, fourths, sixths, and eighths.

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5.2.18 - Define and identify the parts of a fraction. 15 of 51.5 5.2.19 - Represent whole numbers as fractions, including 1. 5.2.20 - Describe the effect of place value when dividing whole numbers by 10, 100, and 1,000. 5.2.8- Write terminating decimals in the form of fractions (or mixed numbers). 5.2.7 Recognize equivalent representations for the same number. REVIEW 5.1.3 Recognize the unit associated with the remainder in a division problem or the meaning of the fractional part of a whole given in either decimal or fraction form.

How do I read and write rational numbers (fractions)?

Number line Common Equivalent Fractions/Decimals

4 of 11 (Week of 11/8)

November 2010

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5.2.21 - Convert a terminating decimal to fraction form by naming the last decimal place value as the denominator, such as 0.3 = 3/10.

REVIEW: How do I divide whole numbers?

Fractions Decimals Naming decimal numbers to convert them to fractions Fractions as Division problems to convert them to decimals. Writing repeating decimals, such as 0.33

5.2.22 - Compute the decimal value of a common fraction by dividing the numerator by the denominator. 18 of 51.5

How do I compare the values of rational numbers?

Unit 5.2 Number and Operations (Rational Numbers) Numbers can be written in many different ways to help us solve problems.

Month

Daily Learning ObjectivesWeek Day

KIPPsters will be able to5.2.23 - Identify common fractions on a number line. 5.2.24 - Order common fractions from least to greatest. 5.2.25 - Order whole numbers, fractions, decimals, and mixed numbers from least to greatest.

State Performance Indicators

Topical Essential QuestionsHow do I compare the values of rational numbers?

Vocabulary and ReferenceFractions Mixed numbers

Assessment EvidenceDaily Reinforcement (2 minutes timed): Common equivalent decimals and fractions (halves, thirds, fourths, sixths, and eighths.

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Comparison Symbols , , , =, 5.2.9 Compare whole numbers, decimals, and fractions using the symbols , and =.

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5 of 11 (Week of 11/15)

Estimation with Fractions

November 2010

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5.2.26 - Compare common fractions and whole numbers with >, ,