Math: Geometry, Scatterplots, and Patterns

Coordinate Plane

• 5.8C graph in the first quadrant of the coordinate plane ordered pairs of numbers arising from mathematical and real-world problems, including those generated by number patterns or found in an input-output table. – R RC3
  • 5.8A describe the key attributes of the coordinate plane, including perpendicular number lines (axes) where the intersection (origin) of the two lines coincides with zero on each number line and the given point (0, 0); the x-coordinate, the first number in an ordered pair, indicates movement parallel to the x-axis starting at the origin; and the y-coordinate, the second number, indicates movement parallel to the y-axis starting at the origin; – S RC3
  • 5.8B describe the process for graphing ordered pairs of numbers in the first quadrant of the coordinate plane; – S RC3

Additive and Multiplicative Patterns (Words, Tables, Graphs, and Equations)

• 5.4C generate a numerical pattern when given a rule in the form y = ax or y = x + a and graph; – R RC2
  • 5.4D recognize the difference between additive and multiplicative numerical patterns given in a table or graph; – S RC2

Data Analysis (Scatterplots)

• 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
  • 5.9B represent discrete paired data on a scatterplot; – S RC4

Classify 2-D Figures (Hierarchies)

• 5.5 classify two-dimensional figures in a hierarchy of sets and subsets using graphic organizers based on their attributes and properties. – R RC3

Add and Subtract Rational Numbers (Whole Numbers, Fractions, and Decimals) (Suggested: 15 days)

• 5.3K add and subtract positive rational numbers fluently; – R RC2 [whole numbers, fractions, and decimals]

Compare and Round Decimals (Suggested: 10 days)

• 5.2B compare and order two decimals to thousandths and represent comparisons using the symbols >, <, or =; – R RC1
• 5.2C round decimals to tenths or hundredths. – S RC1

Grade 4 – Relative Sizes of Measurement Units (Suggested: 5 days)

• 4.8A identify relative sizes of measurement units within the customary and metric systems; – S RC3

Represent and Solve Problems Involving All Four Operations, Including Measurement and Data (Whole Numbers, Fractions, and Decimals) (Suggested: 20 days)

• Estimate (Whole Numbers, Fractions, 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]
• Fractions
  • 5.3K add and subtract positive rational numbers fluently; – R RC2 [whole numbers, fractions and mixed numbers with like and/or unlike denominators]
    • 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
  • 5.3L 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
• Measurement
  • 5.4H represent and solve problems related to perimeter and/or area and related to volume. – R RC3 [perimeter – whole numbers, fractions, and decimals; area and volume – whole numbers only]
    • 2.9D determine the length of an object to the nearest [whole, fraction, 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, fractions, 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