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Math: Applying Addition and Subtraction of Fractions to Data Analysis and Perimeter

Suggested Time Frame: 20 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

Building Fluency with Multiplication and Division Facts

  • 3.4F recall facts [zeros, ones, sixes, nines, and last facts (3 × 3, 3 × 7, 7 × 3, and 7 × 7) in this unit] to multiply up to 10 by 10 with automaticity and recall the corresponding division facts;- S RC2 [Including the Use a Rule, Build Up, and Build Down Strategies for Multiplication; Including the Think Multiplication Strategy for Division]
    • 3.4D determine the total number of objects when equally-sized groups of objects are combined or arranged in arrays up to 10 by 10 [arrays representing zeros, ones, sixes, nines, and last facts (3 × 3, 3 × 7, 7 × 3, and 7 × 7) in this unit]; – S RC2
    • 3.4E represent multiplication facts [zeros, ones, sixes, nines, and last facts (3 × 3, 3 × 7, 7 × 3, and 7 × 7) in this unit] by using a variety of approaches such as repeated addition, equal-sized groups, arrays, area models, equal jumps on a number line, and skip counting; – S RC2
    • 3.4H determine the number of objects in each group when a set of objects is partitioned into equal shares or a set of objects is shared equally; – S RC2
Spiral Review TEKS

Grade 4 Whole Number Addition, Subtraction, Measurement, and Data

  • Grade 4 Add and Subtract to Represent and Solve Problems with Whole Numbers
    • 4.4A add and subtract whole numbers and decimals to the hundredths place using the standard algorithm; – R RC2
    • 4.4G round to the nearest 10, 100, or 1,000 or use compatible numbers to estimate solutions involving whole numbers; and – S RC2
    • 4.5A represent multi-step problems involving the four operations [addition and subtraction in this unit] with whole numbers using strip diagrams and equations with a letter standing for the unknown quantity; – R RC2
    • 4.5B represent problems using an input-output table and numerical expressions to generate a number pattern [addition or subtraction patterns in this unit] that follows a given rule representing the relationship of the values in the resulting sequence and their position in the sequence; – R RC
  • Grade 4 Measurement – Add and Subtract to Solve Problems with Whole Numbers
    • 4.5C use models to determine the formulas for the perimeter of a rectangle (l + w + l + w or 2l + 2w), including the special form for perimeter of a square (4s) and the area of a rectangle (l x w); – NT
    • 4.5D solve problems related to perimeter and area of rectangles where dimensions are whole numbers. – R RC3
    • 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 [word problems using measurement contexts, whole numbers, addition and subtraction only in this unit]
  • Grade 4 Data Analysis – Add and Subtract to Solve Problems with Whole Numbers
    • 4.9A represent data on a frequency table, dot plot, or stem-and-leaf plot marked with whole numbers and fractions; – R RC4
    • 4.9B solve one- and two-step [addition and subtraction] problems using data in whole number, decimal, and fraction form in a frequency table, dot plot, or stem-and-leaf plot. – S RC4