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• Math (TAG): Operations and Applications of Integers and Positive Rational Numbers

# Math (TAG): Operations and Applications of Integers and Positive Rational Numbers

### Suggested Time Frame: 25 Instructional Days

##### Focus TEKS
• 6.3A recognize that dividing by a rational number and multiplying by its reciprocal result in equivalent values (S)
• 6.3B determine, with and without computation, whether a quantity is increased or decreased when multiplied by a fraction, including values greater than or less than one (S)
• 6.3C represent integer operations with concrete models and connect the actions with the models to standardized algorithms (S)
• 6.3D add, subtract, multiply, and divide integers fluently (R)
• 6.3E multiply and divide positive rational numbers fluently (R)
• 7.3A add, subtract, multiply,and divide rational numbers fluently (S)
• 7.3B apply and extend previous understandings of operations to solve problems using addition, subtraction, multiplication, and division of rational numbers (R)
##### Computational Fluency TEKS

Multiplication and Division with Positive Rational Numbers

• 6.3E multiply and divide positive rational numbers fluently (R)

Grade 5 Operations with Rational Numbers (computation)

• Estimation (Use throughout unit)
• 5.3A estimate to determine solutions to mathematical and real-world problems involving addition, subtraction, multiplication, or division; – S RC2
• Addition and Subtraction with Rational Numbers
• 5.3K add and subtract positive rational numbers fluently; – R RC2 [whole numbers, decimals to thousandths, fractions and mixed numbers with like and/or unlike denominators]
• Multiplying and Dividing Decimals (Represent the Operation and Solve Problems)
• 5.3E solve for products of decimals to the hundredths, including situations involving money, using strategies based on place-value understandings, properties of operations, and the relationship to the multiplication of whole numbers; – R RC2
• 5.3G solve for quotients of decimals to the hundredths, up to four-digit dividends and two-digit whole number divisors, using strategies and algorithms, including the standard algorithm; – R RC2
• Multiplying and Dividing Fractions (Represent the Operation and Solve Problems)
• 5.3I represent and solve multiplication of a whole number and a fraction that refers to the same whole using objects and pictorial models, including area models; – S RC2
• 5.3L divide whole numbers by unit fractions and unit fractions by whole numbers. – R RC2
• 5.3J represent division of a unit fraction by a whole number and the division of a whole number by a unit fraction such as 1/3 ÷ 7 and 7 ÷ 1/3 using objects and pictorial models, including area models; – S RC2
##### Spiral Review TEKS
• 6.2B identify a number, its opposite, and its absolute value (S)
• 6.2C locate, compare, and order integers and rational numbers using a number line (S)
• 6.4G generate equivalent forms of fractions, decimals, and percents using real-world problems, including problems that involve money (R)
• 6.5C use equivalent fractions, decimals, and percents to show equal parts of the same whole (S)