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.

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

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

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

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

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

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

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

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

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

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

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

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

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

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:

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

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

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