AKS: 4MA.D.6 measure time and objects that exist in the world to solve real-life, mathematical problems and analyze graphical displays of data to answer relevant questions (4.MDR.6).
Learning Target: I can express measurements given in larger units in terms of smaller units and smaller units in terms of a larger unit based on the idea of equivalence.
I can solve problems involving metric measurement.
What are you comparing?
What is the same about the units of measurement?
What is different about the units of measure?
Do you have any personal experiences with meters, grams, or liters?
We have learned about the relative size of grams, kilograms, liters, and milliliters and solved real-life problems involving these units of measure.
Today, we will learn how to express measurements given in larger units in terms of smaller units and smaller units in terms of a larger unit based on the idea of equivalence.
Listen as I think aloud...
We will learn how to use a two-column table to record measurement equivalence.
Lydia’s puppy has a mass of 6½ kilograms, and her cat has a mass of 3,000 grams. What is the difference in the mass of Lydia’s dog and cat in kilograms (1 kilogram = 1,000 grams)?
The first thing I noticed when I read this problem is that there are two units of measurement in this problem. The dog’s mass is measured in kilograms, and the cat’s mass is measured in grams. I also see that the question says that I need to tell the difference in mass in kilograms.
I also see that 1 kilogram is the same as 1,000 grams. I can draw a two-column table to help me find equivalencies and solve this problem. Since the question asks for the difference in kilograms, I need to find out how many kilograms are equivalent to 3,000 grams.
Please watch as I use a two-column chart to show all of the measurement equivalencies needed to solve the problem.
Now that I know that 3,000 grams is 3 kilograms, I can solve for the difference in mass of Lydia’s dog and cat in kilograms. The dog has a mass of 6 ½ kilograms, and the cat has a mass of 3 kilograms. I can find the difference in mass of the dog and cat.
I will draw a bar model to help me organize my thinking.
I will use the equation 3 + d = 6 ½ to solve for the difference. I will use a number line as a tool to help me organize my math thinking, and I will add up to find the difference.
Now I see that the difference in the mass of the dog and cat is 3 ½ kilograms.
Watch a learning video:
Metric Equivalency Table:
Glue in your Math Journal
Now, mathematicians, it’s your turn:
Krishna has a 2 ½ liter (L) bottle of water and a 1,500 milliliter (mL) bottle of water for her 4-day Girl Scout camping trip. The troop leader recommends at least 1 liter of water per person daily.
Does Krishna have enough water for her camping trip?
Show your math thinking. (1,000 mL = 1L)
Solve the problem scenario individually using a two-column table.
1. FRECKLE - Complete THREE Freckle Assignments each week. DUE FRIDAY. Your HIGHEST score in Targeted Practice is your weekly math grade - Click HERE for Freckle website
GRADED Targeted Practice - Current skill (5 questions; Score Goal=80% or higher)
Fact Practice - Multiplication Fact Practice
Adaptive Practice - At YOUR level
2. iREADY Math - Complete 30 minutes at your level each week