Grade 05 Mathematics - EC: M05.D-M.2.1.1
Grade 05 Mathematics - EC: M05.D-M.2.1.1
Continuum of Activities
The list below represents a continuum of activities: resources categorized by Standard/Eligible Content that teachers may use to move students toward proficiency. Using LEA curriculum and available materials and resources, teachers can customize the activity statements/questions for classroom use.
This continuum of activities offers:
- Instructional activities designed to be integrated into planned lessons
- Questions/activities that grow in complexity
- Opportunities for differentiation for each student’s level of performance
Grade Levels
5th Grade
Course, Subject
Mathematics
Related Academic Standards / Eligible Content
Activities
- The line plot displays the length, in feet, of pieces of licorice. How long is the shortest piece of licorice?
- The line plot displays the amount of water evaporated in liters for various locations in Arizona. How many locations are represented in the line plot?
- The line plot displays the length, in feet, of pieces of ribbon. How many pieces are 7/8 of a foot long?
- Keri measured and then plotted the length of airplanes she made in art class today. What is the combined length of the smallest and largest airplane in inches?
Lengths of Paper Airplanes
x x
x x x
x x x x x
- Candice plotted the number of miles she ran each time she went to the gym. Her goal run is circled on the line plot. How many times did she meet her goal? What is her total mileage?
- What is the total number of beakers? What is the total number of liters of liquid?
- The line plot below displays the distance each remote controlled car traveled before the battery ran out. What is the total distance traveled by the cars that went the farthest?
Number of Cars
x
x x
x x x
x x x x x
x x x x x
Distance Traveled (Miles)
- The line plot below displays the distance each remote controlled car traveled before the battery ran out. What is the total mileage for the 4 cars with the longest distance?
Number of Cars
x
x x
x x x
x x x x x
x x x x x
Distance Traveled (Miles)
- What is the difference, in quarts, in gas tank size between the largest and smallest gas tank for the following yard tools?
Number of Yard Tools
Gas Tank Size (in gallons) - How many toy cars measure more than ¼ foot but less than ¾ foot?
Number of Toy Cars
x
x x x x
x x x x x x
x x x x x x x
Measurement in Feet
- Each person at the birthday party received their own personal pizza. What is the total amount of pizza eaten at the birthday party?
Number of People
x x
x x x
x x x
x x x x
x x x x x x
Fraction of a Pizza
- Students in an art class were asked to measure their charcoal pencil and determine how much was left of the pencil after using it for a week. What is the total amount of pencils used?
Number of Students
x
x x
x x x
x x x x
x x x x
Fraction of a Charcoal Pencil
- There is a large bin of sugar in a bakery with a line plot next to it to keep track of the amount of sugar used each week. Each time someone removes sugar (measured in cups) from the bin they are asked to record it on the line plot. Which one of the following is not true? Why?
- 19 people took sugar from the bin
- The total amount of sugar removed that was greater than one cup is 5 6/8 cups.
- No one removed only 1/8 of a cup.
- Tourists on a hike were asked to measure their water consumption and determine how much was left in their water bottle after a 3-hour hike. What is the total amount of water consumed?
Explain.
Number of Tourists
x
x x
x x
x x
x x x
x x x x
Fraction of a Water Bottle Remaining - People are donating their leftover fabric to make blankets for the local animal shelter. It takes 6 feet to make a blanket. How many blankets can be made from the donations? Explain.
Number of Donations
Length of Fabric (yards) - Sophia and Julia planted gardens and charted the height of their plants on the fourth week. The plants are fertilized once a week according to their height. Plants that are 0 – ¼ ft. get 1 cup, 3/8 – 5/8 ft. gets 1 pint, and ¾ ft. and over gets 1 quart. What is the difference between the amount of fertilizer each garden will receive? Explain.
Sophia’s Plants Julia’s Plants
x x x x
x x x x x x
x x x x x x x x x x
x x x x x x x x x x x x
Height (feet) Height (feet)
- The birdbaths on the North side of Central Park are all seven eighths of a gallon in size. Larry is responsible for all the bird baths on the south side of Central Park which are all the baths less than seven eighths. How many gallons of water must he use to fill all those he is responsible for if two of the ¾ gallon birdbaths are broken? Explain.
Number of Bird Baths
Bird Bath Size (in gallons) - Food is sold by the quarter cup to feed the fish for the first hour after the zoo opens each morning. The line plot shows the amount of food each person purchased. If the limit of food for the fish is 3 quarts per day, was the limit exceeded today? Explain.
Number of Purchased
x x
x x
x x x
x x x x
x x x x
Amount (cups)
Answer Key/Rubric
- 2/8 foot
- 13
- None
- 12 inches
- She met her goal three times (when she went 1 mile, she not only met her goal, but exceeded it) and total is 5 miles.
- 10 beakers
3 1/8 liters total
- 2½ miles
- 4½ miles
- 3 quarts
- 10 cars
- 12¼ personal pizzas
- 7½ pencils
- B. Explanations will vary.
Acceptable responses may include, but are not limited to:
- The total is not 5 and 6/8.
- There are four x’s greater than 1. 1 1/8, 1 ¼, 1 ½ and 2.
- 7½ bottles of water were consumed.
Acceptable responses may include, but are not limited to:
- The line plot shows what remained in the bottles, so to determine how much was consumed I subtracted the remaining from 1 for each person (student shows or explains the steps for this work)
- ¾ + ¾ + ¾ + ¾ + ¾ + ¾ + ½ + ½ + ½ + ½ + ½ + ¼ + ¼ + 0 = 7 ½ bottles consumed.
- 7 blankets.
Acceptable responses may include, but are not limited to:
- Add all the donations to get 14 ¼ yards total
- Convert 14 ¼ yards to feet
- Total of 42 ¾ feet donated
- Divide 42 ¾ feet by 6 feet to get 7 1/8 blankets; 7 whole blankets can be made
- Note students must show or explain the addition of fractions.
- 9-cup difference (answer may be given in equal units)
Acceptable responses may include, but are not limited to:
- Count all of the plants that fall into each level of fertilizer (see chart).
- All units must be the same to be able to add them together; easiest is to change them all to cups, but students may choose any of the measures
- Convert quarts and pints into cups: 1 quart = 4 cups and 1 pint = 2 cups (student shows or explains the conversions).
- Multiply the number of plants in each fertilizer range by # of cups and then totaled.
- The total for Sophia is 34 cups and the total for Julia is 43 cups, subtracting 34 from 43 gives the difference of 9 cups.
Acceptable responses may include, but are not limited to:
- Count the x’s in each category except 7/8 because he is not responsible for those
- Don’t count 2 from the ¾ category because they are broken
- Multiply the number of x’s in each category by the amount at the bottom and add them all up:
- The daily limit was not exceeded.
Acceptable responses may include, but are not limited to:
- Count the number of x’s in each category
- Multiply the number of x’s in each category by the amount at the bottom and add them all up:
- Convert quarts into cups: three quarts is equal to 12 cups
- Since 12 cups is greater than 9 cups the food sold does not exceed the daily limit
