2016 Revised Alabama Course of Study Mathematics.pdf

# 17 use decimal notation for fractions with

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17. Use decimal notation for fractions with denominators 10 or 100. [4-NF6] Example: Rewrite 0.62 as 62 100 ; describe a length as 0.62 meters; locate 0.62 on a number line diagram. 18. Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when the two decimals refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual model. [4-NF7]

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4 th 2016 Revised Alabama Course of Study: Mathematics 37 Measurement and Data Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit. 19. Know relative sizes of measurement units within one system of units, including km, m, cm; kg, g; lb, oz; l, ml; and hr, min, sec. Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit. Record measurement equivalents in a two-column table. [4-MD1] Examples: Know that 1 ft is 12 times as long as 1 in. Express the length of a 4 ft snake as 48 in. Generate a conversion table for feet and inches listing the number pairs (1, 12), (2, 24), (3, 36), .... 20. Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale. [4-MD2] 21. Apply the area and perimeter formulas for rectangles in real-world and mathematical problems. [4-MD3] Example: Find the width of a rectangular room given the area of the flooring and the length by viewing the area formula as a multiplication equation with an unknown factor. Represent and interpret data. 22. Make a line plot to display a data set of measurements in fractions of a unit ( 1 2 , 1 4 , 1 8 ). Solve problems involving addition and subtraction of fractions by using information presented in line plots. [4-MD4] Example: From a line plot find and interpret the difference in length between the longest and shortest specimens in an insect collection. Geometric measurement: understand concepts of angle and measure angles. 23. Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement. [4-MD5] a. An angle is measured with reference to a circle with its center at the common endpoint of the rays by considering the fraction of the circular arc between the points where the two rays intersect the circle. An angle that turns through 1 360 of a circle is called a “one-degree angle” and can be used to measure angles. [4-MD5a] b. An angle that turns through n one-degree angles is said to have an angle measure of n degrees. [4-MD5b] 24. Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure.
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