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• Math (TAG): Equivalent Representations and Uses Of Numbers

# Math (TAG): Equivalent Representations and Uses Of Numbers

### Suggested Time Frame: 15 Instructional Days

##### Focus TEKS
• 6.2E extend representations for division to include fraction notation such as a/b represents the same number as a ÷ b where b ≠ 0 (S)
• 6.4E represent ratios and percents with concrete models, fractions, and decimals (S)
• 6.4F represent benchmark fractions and percents such as 1%, 10%, 25%, 33 1/3%, and multiples of these values using 10 by 10 grids, strip diagrams, number lines, and numbers (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)
##### Computational Fluency TEKS

5th Grade Multiplication and Division Whole Number Computation

• 5.3A estimate to determine solutions to mathematical and real-world problems involving addition, subtraction, multiplication, or division; – S RC2
• 5.3B multiply with fluency a three-digit number by a two-digit number using the standard algorithm; – S RC2
• 5.3C solve with proficiency for quotients of up to a four-digit dividend by a two-digit divisor using strategies and the standard algorithm; – S RC2

5th Grade Multiplying and Dividing Fractions Computation

• 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

5th Grade 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

4th Grade Represent Fractions (including Improper Fractions and Mixed Numbers)

• 4.3A represent a fraction a/b as a sum of fractions 1/b, where a and b are whole numbers and b > 0, including when a > b; – S RC1
• 4.3B decompose a fraction in more than one way into a sum of fractions with the same denominator using concrete and pictorial models and recording results with symbolic representations; – S RC1
• 4.3G represent fractions and decimals to the tenths or hundredths as distances from zero on a number line. – S RC1