unit conversions 5.10a-perform simple conversions within the same measurement system

Unit Conversions5.10A-Perform Simple Conversions within the Same Measurement System

Reasoning Mind Academy: Unit Conversions

What do we measure?! What tools do we measure with?!

Think~Pair~Share

Example: We can use a ruler to measure the length of a foot.


REMEMBER: There are two systems of measurement: and .In some real-world problems, you will need to convert from one unit of measurement to another. Convert is a fancy word for

.(Example: pounds → ounces or centimeters → meters)

Key Words: length weight mass capacity time customary metric change


REMEMBER: There are two systems of measurement: customary and metric .In some real-world problems, you will need to convert from one unit of measurement to another. Convert is a fancy word for

change .(example: pounds → ounces or centimeters → meters)



Definition: The of an object tells us how long it is.



Definition: The length_ of an object tells us how long it is.



Definition: The of an object tells us how heavy it is.



Definition: The weight_ of an object tells us how heavy it is.



Definition: The of an object tells us how much matter it contains.



Definition: The mass of an object tells us how much matter it contains.



Definition: The of a container tells us how much it can hold.



Definition: The _capacity of a container tells us how much it can hold.



REMEMBER: Time can be measured in _________periods or periods.



REMEMBER: Time can be measured in __long__ periods or short _ periods.

Long Periods Short Periods

Months Seconds

Years Minutes

Centuries Hours

Reasoning Mind Academy: Unit Conversion

Just Remember two basic rules: 1) To convert from a LARGER unit to a smaller unit, .

2) To convert from a smaller unit to a LARGER unit, .

“Big to small, multiply them all. Small to big, divide you did!”


Just Remember two basic rules: 1) To convert from a LARGER unit to a smaller unit, multiply .

2) To convert from a smaller unit to a LARGER unit, divide .

“Big to small, multiply them all. Small to big, divide you did!”


Great! So, how do we actually convert?!Step 1: Write your .(Which unit did they give me? Which unit am I missing?)Step 2: the conversion on your STAAR formula chart. Step 3: Make a using the conversion formula. (Hint: “T”)Step 4: if you need to go from small → LARGE or LARGE →small.Step 5: or .Step 6: Write your in your answer!


Great! So, how do we actually convert?!Step 1: Write your __information .(Which unit did they give me? Which unit am I missing?)Step 2: Find the conversion on your STAAR formula chart. Step 3: Make a t-chart/table using the conversion formula. (Hint: “T”)Step 4: Decide if you need to go from small → LARGE or LARGE →small.Step 5: Multiply or divide .Step 6: Write your __units in your answer!


Example 1) On a baseball field, the distance from home plate to first base is 90 feet. How many yards is it from home plate to first base?

Remember: Big to small, multiply them all. Small to big, divide you did!Using your steps written in your notebook, what would we do to find our answer?



Step 1- Write your information.

-Which unit did they give me? Feet

-Which unit am I missing? Yards



Step 2- Find the conversion on your STAAR formula chart.

3 feet= 1 yard(s)

1 yard(s) = 3 feet



Step 3- Make a t-chart/table using the conversion formula

Feet Yards

3 1 90 ?



Step 4- Decide if you need to go from small → LARGE or LARGE →small.

small → LARGE



Step 5- Multiply or divide.

Feet Yards

3 1 90

÷ 3 ÷ 3 30



Step 6- Write your units in your answer.

90 ft. = 30 yd.It is 30 yards from home plate to first base.

Remember: Big to small, multiply them all. Small to big, divide you did!


Ex 2) Length: 2 mi = yds

Ex 3) Length:

800 m = km



Ex 2) Length: 2 mi = ____3,520 yds

Ex 3) Length:

800 m = 800,000 km



Ex 4) Capacity: 12 gal = c

Ex 5) Capacity:

37,000 mL = L



Ex 4) Capacity: 12 gal = 192 c

Ex 5) Capacity:

37,000 mL = 37 L



Ex 6) Weight : 16,000 lbs = T

Ex 7) Mass:

18 kg = g



Ex 6) Weight/Mass: 16,000 lbs. = 8 T

Ex 7) Weight/Mass:

18 kg = 18,000 g



Ex 8) Time: 84 d = wks

Ex 9) Time:

5 yrs = mos



Ex 8) Time: 84 d = 12 wks

Ex 9) Time:

5 yrs = 60 mos



Example 10) There are 15 students in a science class. Each student will need 125 mL of pond water. There are 2 L of pond water in the science kit for the whole class to use. If each student receives how much they need for the experiment, how many milliliters of the pond water will be left over?



Example 10) There are 15 students in a science class. Each student will need 125 mL of pond water. There are 2 L of pond water in the science kit for the whole class to use. If each student receives how much they need for an experiment, how many milliliters of the pond water will be left over? 15 • 125 mL = 1,875 mL2L = 2,000 mL2,000 mL - 1,875 mL = 125 mL


Reasoning Mind Academy: “Now, it’s your turn to try!”

Independent Practice Problems

Helpful Hints:Read the problem twice.Underline any important parts.Make a plan for solving the problem.Show your work,Do your best!

unit conversions 5.10a-perform simple conversions within the same measurement system

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