MGSE4.MD.4 Make a line plot to display a data set of measurements in fractions of a unit (1, Solve problems involving addition and subtraction of fractions with common 1, 1). 2 4 8 denominators by using information presented in line plots. For example, from a line plot, find and interpret the difference in length between the longest and shortest specimens in an insect collection. This standard provides a context for students to work with fractions by measuring objects to an eighth of an inch. Students are making a line plot of this data and then adding and subtracting fractions based on data in the line plot. Example: Students measured objects in their desk to the nearest or inch. They displayed their 1, 1, 1 2 4 8 data collected on a line plot. How many objects measured inch? 1 inch? If you put all 1 4 2 the objects together end to end what would be the total length of all the objects? Possible student solution: Since = there are three objects that measured of an inch. 2 1 1 8 4 4 Since is equal to there are 2 objects that have a length of of an inch. The total , 4 1 1 8 2 2 length of all the objects is + + = which is 2 inches. Then, add + + = which 8 4 4 16 6 1 3 10 8 8 8 8 8 8 8 8 is 1 Then, add + + + = which is 1 inches. inches. 2 2 2 2 6 12 4 8 8 8 8 8 8 8 2 + 1 1 is 4 inches in total length. + 2 4 6 8 8 8 Common Misconceptions Students use whole-number names when counting fractional parts on a number line. The fraction name should be used instead. For example, if two-fourths is represented on the line plot three times, then there would be six-fourths. CLUSTER #3: GEOMETRIC MEASUREMENT UNDERSTAND CONCEPTS OF – ANGLE AND MEASURE ANGLES. Mathematically proficient students communicate precisely by engaging in discussion about their reasoning using appropriate mathematical language. The terms students measure, point, end should learn to use with increasing precision with this cluster are: point, geometric shapes, ray, angle, circle, fraction, intersect, one-degree angle, protractor, decomposed, addition, subtraction, unknown.
MGSE4.MD.4 Make a line plot to display a data set of measurements in fractions of a unit (1, 1, 1). Solve problems involving addition and subtraction of fractions with common 2 4 8 denominators by using information presented in line plots. For example, from a line plot, find and interpret the difference in length between the longest and shortest specimens in an insect collection. This standard provides a context for students to work with fractions by measuring objects to an eighth of an inch. Students are making a line plot of this data and then adding and subtracting fractions based on data in the line plot. Example: Students measured objects in their desk to the nearest 1, 1, or 1 inch. They displayed their 2 4 8 data collected on a line plot. How many objects measured 1 inch? 1 inch? If you put all 4 2 the objects together end to end what would be the total length of all the objects? Possible student solution: Since 2 = 1 there are three objects that measured 1 of an inch. 8 4 4 Since 4 is equal to 1 , there are 2 objects that have a length of 1 of an inch. The total 8 2 2 length of all the objects is 8 + 4 + 4 = 16 which is 2 inches. Then, add 6 + 1 + 3 = 10 which 8 8 8 8 8 8 8 8 is 1 2 inches. Then, add 2 + 2 + 2 + 6 = 12 which is 1 4 inches. 8 8 8 8 8 8 8 2 + 1 2 + 1 4 is 4 6 inches in total length. 8 8 8 Common Misconceptions Students use whole-number names when counting fractional parts on a number line. The fraction name should be used instead. For example, if two-fourths is represented on the line plot three times, then there would be six-fourths. CLUSTER #3: GEOMETRIC MEASUREMENT – UNDERSTAND CONCEPTS OF ANGLE AND MEASURE ANGLES. Mathematically proficient students communicate precisely by engaging in discussion about their reasoning using appropriate mathematical language. The terms students should learn to use with increasing precision with this cluster are: measure, point, end point, geometric shapes, ray, angle, circle, fraction, intersect, one-degree angle, protractor, decomposed, addition, subtraction, unknown.