1. Note: Your work on today’s assignment will determine your grade on the GUESS learning objective. (25 points)
WELCOME!
Pick up a handout from the table.
Pick up a Cornell Notes page for Mini-Lesson.
Learning Target:
I can maintain consistency with units in a GUESS problem.

2. G U E S/S Guess: Problem solving GIVEN
1st step: Read the question twice.
2nd step: Underline the GIVEN information.
3rd step: Circle the UNKNOWN information.
Letter:
Stands for:
Means: G
GIVEN
The given information or ‘knowns’.
Include the variable, the amount and the units.
Sample: m = 3 kilograms Or m = 3 kg (A 3 kilogram mass) U
UNKNOWN
The information you are looking for or ‘unknowns’.
Include units and the variable.
Sample: t ime = _____ seconds ( time in seconds) E
EQUATION
Write out the formula without substituting.
Sample: F = m a
S/S
SUBSTITUTE/ SOLVE
Match the variables from the givens to the locations they belong in the formula. Last do the math to solve.
UNDERLINE GIVENS
CIRCLE UNKNOWNS

3. Managing variables and units
DENSITY
Density
mass
Volume
𝑔𝑟𝑎𝑚𝑠 𝑐𝑚 3
𝑔𝑟𝑎𝑚𝑠
𝑐𝑚 3
𝑔𝑟𝑎𝑚𝑠 𝑐𝑐 𝑐𝑐
𝑔𝑟𝑎𝑚𝑠 𝑚𝐿 𝑚𝐿
𝑘𝑖𝑙𝑜𝑔𝑟𝑎𝑚𝑠 𝑚 3
𝑘𝑖𝑙𝑜𝑔𝑟𝑎𝑚𝑠
𝑚 3
Density Equations
𝑑= 𝑚 𝑉
𝑚=𝑑 𝑉
𝑉= 𝑚 𝑑

4. Managing variables and units
VOLUME
Length
Width
Height
Volume cm
𝑐𝑚 3
meters
𝑚 3
Volume of a cube h
𝑉=𝑙 𝑤 ℎ w l

5. Managing variables and units
A block has a height of 1 cm, a width of 5 cm and a length of 4 cm. Find its volume.
𝑉=𝑙 𝑤 ℎ
Length
Width
Height
Volume cm
𝑐𝑚 3
meters
𝑚 3

6. Managing variables and units
A block has a height of 1 cm, a width of 5 cm and a length of 4 cm. Find its volume.
𝑉=𝑙 𝑤 ℎ cm
Length
Width
Height
Volume cm
𝑐𝑚 3
meters
𝑚 3 cm cm

7. Managing variables and units
cm3
A block has a height of 1 cm, a width of 5 cm and a length of 4 cm. Find its volume.
𝑉=𝑙 𝑤 ℎ cm
Length
Width
Height
Volume cm
𝑐𝑚 3
meters
𝑚 3 cm cm

8. Managing variables and units
𝑑= 𝑚 𝑉
𝑚=𝑑 𝑉
A 4 gram block has a volume of 20 cm3. Find its density.
𝑉= 𝑚 𝑑
Density
mass
Volume
𝑔𝑟𝑎𝑚𝑠 𝑐𝑚 3
𝑔𝑟𝑎𝑚𝑠
𝑐𝑚 3
𝑔𝑟𝑎𝑚𝑠 𝑐𝑐 𝑐𝑐
𝑔𝑟𝑎𝑚𝑠 𝑚𝐿 𝑚𝐿
𝑘𝑖𝑙𝑜𝑔𝑟𝑎𝑚𝑠 𝑚 3
𝑘𝑖𝑙𝑜𝑔𝑟𝑎𝑚𝑠
𝑚 3

9. Managing variables and units
𝑑= 𝑚 𝑉
𝑚=𝑑 𝑉
A 4 gram block has a volume of 20 cm3. Find its density.
𝑉= 𝑚 𝑑
Density
mass
Volume
𝑔𝑟𝑎𝑚𝑠 𝑐𝑚 3
𝑔𝑟𝑎𝑚𝑠
𝑐𝑚 3
𝑔𝑟𝑎𝑚𝑠 𝑐𝑐 𝑐𝑐
𝑔𝑟𝑎𝑚𝑠 𝑚𝐿 𝑚𝐿
𝑘𝑖𝑙𝑜𝑔𝑟𝑎𝑚𝑠 𝑚 3
𝑘𝑖𝑙𝑜𝑔𝑟𝑎𝑚𝑠
𝑚 3

10. Managing variables and units
𝑑= 𝑚 𝑉
𝑚=𝑑 𝑉
𝑉= 𝑚 𝑑
A 4 gram block has a volume of 20 cm3. Find its density.
Density
mass
Volume
𝑔𝑟𝑎𝑚𝑠 𝑐𝑚 3
𝑔𝑟𝑎𝑚𝑠
𝑐𝑚 3
𝑔𝑟𝑎𝑚𝑠 𝑐𝑐 𝑐𝑐
𝑔𝑟𝑎𝑚𝑠 𝑚𝐿 𝑚𝐿
𝑘𝑖𝑙𝑜𝑔𝑟𝑎𝑚𝑠 𝑚 3
𝑘𝑖𝑙𝑜𝑔𝑟𝑎𝑚𝑠
𝑚 3
gram
cm3

11. Managing variables and units
𝑑= 𝑚 𝑉
𝒈𝒓𝒂𝒎𝒔 𝒄𝒎 𝟑
𝑚=𝑑 𝑉
𝑉= 𝑚 𝑑
A 4 gram block has a volume of 20 cm3. Find its density.
Density
mass
Volume
𝑔𝑟𝑎𝑚𝑠 𝑐𝑚 3
𝑔𝑟𝑎𝑚𝑠
𝑐𝑚 3
𝑔𝑟𝑎𝑚𝑠 𝑐𝑐 𝑐𝑐
𝑔𝑟𝑎𝑚𝑠 𝑚𝐿 𝑚𝐿
𝑘𝑖𝑙𝑜𝑔𝑟𝑎𝑚𝑠 𝑚 3
𝑘𝑖𝑙𝑜𝑔𝑟𝑎𝑚𝑠
𝑚 3
gram
cm3

12. Managing variables and units
𝑑= 𝑚 𝑉
𝑚=𝑑 𝑉
A ball has a density of 25 grams/mL. If its volume is 3 mL, find its mass.
𝑉= 𝑚 𝑑
Density
mass
Volume
𝑔𝑟𝑎𝑚𝑠 𝑐𝑚 3
𝑔𝑟𝑎𝑚𝑠
𝑐𝑚 3
𝑔𝑟𝑎𝑚𝑠 𝑐𝑐 𝑐𝑐
𝑔𝑟𝑎𝑚𝑠 𝑚𝐿 𝑚𝐿
𝑘𝑖𝑙𝑜𝑔𝑟𝑎𝑚𝑠 𝑚 3
𝑘𝑖𝑙𝑜𝑔𝑟𝑎𝑚𝑠
𝑚 3

13. Managing variables and units
𝑑= 𝑚 𝑉
𝑚=𝑑 𝑉
A ball has a density of 25 grams/mL. If its volume is 3 mL, find its mass.
𝑉= 𝑚 𝑑
Density
mass
Volume
𝑔𝑟𝑎𝑚𝑠 𝑐𝑚 3
𝑔𝑟𝑎𝑚𝑠
𝑐𝑚 3
𝑔𝑟𝑎𝑚𝑠 𝑐𝑐 𝑐𝑐
𝑔𝑟𝑎𝑚𝑠 𝑚𝐿 𝑚𝐿
𝑘𝑖𝑙𝑜𝑔𝑟𝑎𝑚𝑠 𝑚 3
𝑘𝑖𝑙𝑜𝑔𝑟𝑎𝑚𝑠
𝑚 3
grams/ mL mL

14. Managing variables and units
𝑑= 𝑚 𝑉
𝑚=𝑑 𝑉
A ball has a density of 25 grams/mL. If its volume is 3 mL, find its mass.
grams
𝑉= 𝑚 𝑑
Density
mass
Volume
𝑔𝑟𝑎𝑚𝑠 𝑐𝑚 3
𝑔𝑟𝑎𝑚𝑠
𝑐𝑚 3
𝑔𝑟𝑎𝑚𝑠 𝑐𝑐 𝑐𝑐
𝑔𝑟𝑎𝑚𝑠 𝑚𝐿 𝑚𝐿
𝑘𝑖𝑙𝑜𝑔𝑟𝑎𝑚𝑠 𝑚 3
𝑘𝑖𝑙𝑜𝑔𝑟𝑎𝑚𝑠
𝑚 3
grams/ mL mL

15. G.U.E.S.S.
𝑑= 𝑚 𝑉
A ball has a density of 25 grams/mL. If its volume is 3 mL, find its mass.
𝑚=𝑑 𝑉
𝑉= 𝑚 𝑑
1st step: Read the question twice.
2nd step: Underline the GIVEN information.
3rd step: Circle the UNKNOWN information.
Given:
Equation:
Substitute/Solve:
Density
mass
Volume
𝑔𝑟𝑎𝑚𝑠 𝑐𝑚 3
𝑔𝑟𝑎𝑚𝑠
𝑐𝑚 3
𝑔𝑟𝑎𝑚𝑠 𝑐𝑐 𝑐𝑐
𝑔𝑟𝑎𝑚𝑠 𝑚𝐿 𝑚𝐿
𝑘𝑖𝑙𝑜𝑔𝑟𝑎𝑚𝑠 𝑚 3
𝑘𝑖𝑙𝑜𝑔𝑟𝑎𝑚𝑠
𝑚 3
Unknown:

16. G.U.E.S.S.
𝑑= 𝑚 𝑉
A ball has a density of 25 grams/mL. If its volume is 3 mL, find its mass.
𝑚=𝑑 𝑉
𝑉= 𝑚 𝑑
Given:
Equation:
d = 25 grams/mL
V = 3 mL
Substitute/Solve:
Density
mass
Volume
𝑔𝑟𝑎𝑚𝑠 𝑐𝑚 3
𝑔𝑟𝑎𝑚𝑠
𝑐𝑚 3
𝑔𝑟𝑎𝑚𝑠 𝑐𝑐 𝑐𝑐
𝑔𝑟𝑎𝑚𝑠 𝑚𝐿 𝑚𝐿
𝑘𝑖𝑙𝑜𝑔𝑟𝑎𝑚𝑠 𝑚 3
𝑘𝑖𝑙𝑜𝑔𝑟𝑎𝑚𝑠
𝑚 3
Unknown:
m = _____ grams

17. G.U.E.S.S. 𝑑= 𝑚 𝑉 𝑚=𝑑 𝑉 𝑉= 𝑚 𝑑 𝑚=𝑑 𝑉
𝑑= 𝑚 𝑉
A ball has a density of 25 grams/mL. If its volume is 3 mL, find its mass.
𝑚=𝑑 𝑉
𝑉= 𝑚 𝑑
Given:
Equation:
𝑚=𝑑 𝑉
d = 25 grams/mL
V = 3 mL
Substitute/Solve:
Density
mass
Volume
𝑔𝑟𝑎𝑚𝑠 𝑐𝑚 3
𝑔𝑟𝑎𝑚𝑠
𝑐𝑚 3
𝑔𝑟𝑎𝑚𝑠 𝑐𝑐 𝑐𝑐
𝑔𝑟𝑎𝑚𝑠 𝑚𝐿 𝑚𝐿
𝑘𝑖𝑙𝑜𝑔𝑟𝑎𝑚𝑠 𝑚 3
𝑘𝑖𝑙𝑜𝑔𝑟𝑎𝑚𝑠
𝑚 3
Unknown:
m = _____ grams

18. G.U.E.S.S. 𝑑= 𝑚 𝑉 𝑚=𝑑 𝑉 𝑉= 𝑚 𝑑 𝑚=𝑑 𝑉 𝑚= . (. )
𝑑= 𝑚 𝑉
A ball has a density of 25 grams/mL. If its volume is 3 mL, find its mass.
𝑚=𝑑 𝑉
𝑉= 𝑚 𝑑
Given:
Equation:
𝑚=𝑑 𝑉
d = 25 grams/mL
V = 3 mL
Substitute/Solve:
Density
mass
Volume
𝑔𝑟𝑎𝑚𝑠 𝑐𝑚 3
𝑔𝑟𝑎𝑚𝑠
𝑐𝑚 3
𝑔𝑟𝑎𝑚𝑠 𝑐𝑐 𝑐𝑐
𝑔𝑟𝑎𝑚𝑠 𝑚𝐿 𝑚𝐿
𝑘𝑖𝑙𝑜𝑔𝑟𝑎𝑚𝑠 𝑚 3
𝑘𝑖𝑙𝑜𝑔𝑟𝑎𝑚𝑠
𝑚 3
𝑚= ( )
Unknown:
𝑚=( 25 𝑔𝑟𝑎𝑚𝑠 𝑚𝐿 )( 3𝑚𝐿 1 )
m = _____ grams
𝒎=𝟕𝟓 𝒈𝒓𝒂𝒎𝒔