Solve Problems Using Line Plots. Problem of the Day. fractions by using information presented on a line plot. MPs.
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1 Solve Problems Using Line Plots Conceptual Lesson Grade Unit Lesson 3 MC:.MD. MPs Applied MP * Embedded MP * * Problem of the Day Student Journal Pages Objective: Today, I will solve problems involving addition and subtraction of fractions by using information presented on a line plot. Vocabulary Line plot: a type of graph that shows the frequency of data along a number line; each X represents one piece of data title Jenny s Eercise this Week 3 scale (unit fraction) Equivalent fractions using common denominators: 5 (hours) Teacher Resources Considerations: Some of the questions could be answered simply by observing the data, without creating line plots. However, because line plots play such a significant role throughout the Common Core as students develop proficiency toward statistics and probability, it is important for students to gain eperience with creating and using line plots. Continue to emphasize the importance of spacing with line plots. Provide grid paper as a scaffold, as needed. Continue to refer to Grade Units and 5 for a review of equivalent fractions and adding and subtracting fractions and mied numbers. Steps: 1. List all numbers horizontally.. Convert all fractions to equivalent fractions using common denominators. 3. List all numbers from least to greatest.. Draw and label a line plot and plot the data. 5. Add or subtract to solve. Application of MPs: MP: How would it help to create a model? It would help by. MP: What is a good shortcut for representing data? A good shortcut for representing the data is. Grade Unit Lesson 3 C TE
2 Answer Key Answer Key: I/M SGP FCU HW 1. 1 / miles 1. The total length of all of the crayons that measured 3 1/ inches is 9 3/ inches. 1. The total length of the longest pipe cleaners is 17 1/ inches , 90 < 576, / miles. The difference between the longest crayon compared to the shortest crayon is 7/ of an inch.. The difference in length between the longest and shortest pipe cleaner is 1 1/ inches.. 35,756 > 35, , 59 < 979, , 03 = 10, The total height of all the students that measured 1 / inches is 1 1 / / inches Sample Response to MP questions: MP: How would it help to create a model? It would help by allowing me to quickly see the frequency and range of the data. MP: What is a good shortcut for representing data? A good shortcut for representing the data is renaming the fractions with common denominators before graphing. Grade Unit Lesson 3 C TE
3 Input / Model (Teacher Presents) *MP1: Make sense of the problem and persevere in solving it! *MP: Find a strategy to help solve the problem. Directions: Solve the problems by adding or subtracting fractions using information presented on a line plot. 1. Mr. Jones th grade PE class ran the mile on Tuesday. The table represents how far each student ran in miles. Plot the data on the line plot and add the total distance of the students who ran 3 / of a mile. Students Distance Ran for PE on Tuesday (miles) / 3 / 1 / / 3 / 1 / 1 3 / 1. List all numbers horizontally Convert all fractions to equivalent fractions using common denominators List all numbers from least to greatest. (optional step for scaffolding) Draw and label a line plot and plot the data. 5. Add or subtract to solve = 9 = 1 miles or 3 3 = 3 3 = 9 = 1 miles Grade Unit Lesson 3 C TE
4 Input / Model (Teacher Presents). Using the line plot from the previous problem, what is the difference between the longest and shortest distance run by the students in Mr. Jones th grade PE class? Subtract 1 / of a mile from 6 / miles to find the difference between the longest and shortest distance run. 6 / 1 / = 5 /, or 1 1 / miles The difference between the longest and shortest distance run by the students in Mr. Jones th grade PE class is 1 1 / miles. Grade Unit Lesson 3 C TE
5 Structured Guided Practice (A / B Partners Practice) Directions: Solve problems by adding or subtracting fractions using information presented on a line plot. 1. Students measured the lengths of the crayons in inches. Read the measurements. Plot the data on a line plot and find the length of all the crayons that measured 3 1 / inches. Length of Crayons (inches) 3 1 / 3 1 / 3 5 / 3 3 / 6 / 3 5 / 3 1 / 6 / 3 / 3 5 / 3. Using the line plot from the previous problem, what is the difference in length of the longest and shortest crayons? Grade Unit Lesson 3 C TE
6 Final Check for Understanding (Teacher Checks Work) Directions: Solve problems by adding or subtracting fractions using information presented on a line plot. 1. Vanessa cut pipe cleaners at different lengths for an art project. The data shows the lengths of the pipe cleaners. Plot the data on a line plot and add the total length of the longest pipe cleaners. Length of Pipe Cleaners (inches) 5 1 / 3 / 1 / 5 1 / 5 3 / 5 3 / 5 1 / / 5 3 / 5 6. Using the line plot from the previous problem, what is the difference in length between the longest and shortest pipe cleaner? Grade Unit Lesson 3 C TE
7 Closure Closure Recap today s lesson with one or more of the following questions: MP: How would it help to create a model? MP: What is a good shortcut for representing data? Grade Unit Lesson 3 C TE
8 Homework Unit Lesson 3: Spiral Review U1 L (.NBT. ) Name: Date: Directions: Compare the numbers given using <, >, = ,90 576,90 35,756 35, ,59 979,95 10,03 10,03 Grade Unit Lesson 3 C TE
9 Homework Unit Lesson 3: Solve Problems Using Line Plots Directions: Solve problems by adding or subtracting fractions using information presented on a line plot. 5. Mrs. Jesch measured the height of 10 students to the nearest eighth of a foot. Plot the data on a line plot and find the height of all the students that measured 1 / inches. Height of Students (feet) 1 / 1 / 3 5 / 3 / 1 / 3 5 / 1 / 3 6 / / 1 / Using the line plot from the previous problem, what is the difference in height of the shortest and tallest students? Grade Unit Lesson 3 C TE
10 Notes Grade Unit Lesson 3 C TE
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Name Customary Units of Length Essential Question How can you use models to compare customary units of length? Lesson 2.2 Measurement and Data 4.MD.A. Also 4.MD.A.2 MATHEMATICAL PRACTICES MP, MP2, MP5
Rounding Mixed Numbers
LESSON 0 Rounding Mixed Numbers Power Up facts mental math Power Up J a. Estimation: Andrea estimated that each story of the tall building was feet tall. Andrea counted 30 stories in the building. What
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