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  • Math: Extending Decimal Place Value to Thousandths and Applying Addition and Subtraction of Decimals to Data Analysis and Perimeter

Math: Extending Decimal Place Value to Thousandths and Applying Addition and Subtraction of Decimals to Data Analysis and Perimeter

Suggested Time Frame: 15 Instructional Days

        

Focus TEKS

Decimal Place Value to Thousandths

  • 5.2B compare and order two decimals to thousandths and represent comparisons using the symbols >, <, or =; – R RC1
  • 5.2A represent the value of the digit in decimals through the thousandths using expanded notation and numerals; – S RC1
  • 5.2C round decimals to tenths or hundredths. – S RC1

Add and Subtract Rational Numbers – Whole Numbers and Decimals

  • 5.3K add and subtract positive rational numbers fluently; – R RC2 [whole numbers, decimals to thousandths in this unit]
    • 5.3A estimate to determine solutions to mathematical and real-world problems involving addition, subtraction, multiplication, or division; – S RC2

Perimeter – Add and Subtract to Solve Problems with Decimals

  • 5.4H represent and solve problems related to perimeter and/or area and related to volume. – R RC3 [whole number and decimal measurements in this unit]
    • 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 – Add and Subtract to Solve Problems with Decimals

  • 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 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
Numeracy TEKS

Multiply and Divide Whole Numbers

  • 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

Order of Operations

  • 5.4F simplify numerical expressions that do not involve exponents, including up to two levels of grouping; – R RC1
    • 5.4E describe the meaning of parentheses and brackets in a numeric expression; – S RC1
Spiral Review TEKS

Whole Number and Fraction Operations, Measurement, and Data Analysis

  • Whole Number and Fraction Operations – Represent and Solve Problems Involving All Four Operations
    • 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
    • 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
    • 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
    • 5.3K add and subtract positive rational numbers fluently; – R RC2 [whole numbers, fractions and mixed numbers with like and/or unlike denominators]
    • 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
    • 5.3L divide whole numbers by unit fractions and unit fractions by whole numbers. – R RC2
    • 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
  • Measurement – Use All Four Operations to Solve Problems with Whole Numbers and Fractions
    • 5.4H represent and solve problems related to perimeter and/or area and related to volume. – R RC3 [perimeter – whole numbers and fractions; area and volume – whole numbers only]
      • 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 – Use All Four Operations to Solve Problems with Whole Numbers and Fractions
    • 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
    • 5.9C 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 fractions in this unit]