Math: Fraction Addition and Subtraction

Suggested Time Frame: 18 Instructional Days

        

Focus TEKS

Add and Subtract Rational Numbers

  • 5.3K add and subtract positive rational numbers fluently [fractions and mixed numbers with like and/or unlike denominators in this unit]; – R RC2  [fluency is not the goal of this unit; fluency will be developed over the year]
    • 5.3A estimate to determine solutions to mathematical and real-world problems involving addition, subtraction, multiplication, or division; – S RC2
    • 5.3H represent and solve addition and subtraction of fractions with unequal denominators referring to the same whole using objects and pictorial models and properties of operations; – S RC2

Perimeter – Add and Subtract to Solve Problems

  • 5.4H represent and solve problems related to perimeter and/or area and related to volume. – R RC3 [whole number and fraction measurements in this unit]
    • 2.9D determine the length of an object to the nearest [whole or fraction of a] marked unit using rulers, yardsticks, meter sticks, or measuring tapes

Data Analysis – Add and Subtract to Solve Problems

  • 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 [problems involving addition and subtraction of whole numbers and fractions in this unit]
    • 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
Numeracy TEKS

Multiplication and Division (Whole Numbers and Decimals) (Suggested: 15 days)

  • 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
  • 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

Order of Operations (Suggested: 3 days)

  • 5.4F simplify numerical expressions that do not involve exponents, including up to two levels of grouping; [whole numbers: all four operations; decimals: addition and subtraction only] – R RC1
    • 5.4E describe the meaning of parentheses and brackets in a numeric expression; – S RC1
Spiral Review TEKS

Grade 4 Elapsed Time (Suggested: 6 days)

  • 4.8C solve problems that deal with measurements of length, intervals of time, liquid volumes, mass, and money using addition, subtraction, multiplication, or division as appropriate. – R RC3 [focus on elapsed time in this unit]

Represent and Solve Problems Involving All Four Operations, Including Measurement and Data (Whole Numbers and Decimals) (Suggested: 12 days)

  • Estimate (Whole Numbers and Decimals)
    • 5.3A estimate to determine solutions to mathematical and real-world problems involving addition, subtraction, multiplication, or division; – S RC2
  • Whole Numbers
    • 5.4B represent and solve multi-step problems involving the four operations with whole numbers using equations [and strip diagrams] with a letter standing for the unknown quantity; – R 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
  • Decimals
    • 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
      • 5.3D represent multiplication of decimals with products to the hundredths using objects and pictorial models, including area models; – S 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
      • 5.3F represent quotients of decimals to the hundredths, up to four-digit dividends and two-digit whole number divisors, using objects and pictorial models, including area models; – S RC2
    • 5.3K add and subtract positive rational numbers fluently; – R RC2 [whole numbers and decimals to thousandths]
  • Measurement
    • 5.4H represent and solve problems related to perimeter and/or area and related to volume. – R RC3 [perimeter – whole numbers and decimals; area and volume – whole numbers only]
      • 2.9D determine the length of an object to the nearest [whole or decimal part of a] marked unit using rulers, yardsticks, meter sticks, or measuring tapes
  • Data Analysis
    • 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 [problems involving whole numbers and decimals in this unit]
      • 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