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Math (TAG): Identify, Locate and Order Rational Numbers

Suggested Time Frame: 10 Instructional Days

        

Focus TEKS
  • 6.2A classify whole numbers, integers, and rational numbers using a visual representation such as a Venn diagram to describe relationships between sets of numbers (S)
    • 7.2A extend previous knowledge of sets and subsets using a visual representation to describe relationships between sets of rational numbers (S)
  • 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)
  • 6.2D  order a  set of rational numbers arising from mathematical and real-world contexts (R)
  • 6.11A graph points in all four quadrants using ordered pairs  of rational numbers (R)

Apply above TEKS to 5th Grade Data Analysis TEKS Below:

  • 5.9C solve one- and two-step problems using data from a frequency table, dot plot, bar graph, stem-and-leaf plot, or scatterplot. – R RC4 [whole numbers, fractions, and decimals]
    • 5.9A represent categorical data with bar graphs or frequency tables and numerical data, including data sets of measurements in fractions or decimals, with dot plots or stem-and-leaf plots; – S RC4
    • 5.9B represent discrete paired data on a scatterplot; – S RC4
Computational Fluency TEKS

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

Problem Solving with Equivalent Forms of Numbers

  • 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)