TIME MEASUREMENT Eample: The McMillians are going to visit their grandparents. They leave their home at a quarter after eleven in the morning. They arrive at their grandparents fifteen minutes after two in the afternoon. How long did it take them to travel to their grandparents? Mark the answer(s) below. A 90 minutes B 0 minutes C hours 0 minutes D hours + hours +5 min. +5 min. I can use a number line to determine how long the trip took the family. :00AM Departure time :00PM :00PM :00PM Arrival time :00PM = hours + 5 minutes +5 minutes = hours + 60 minutes = hours + hour = hours It took them hours. There are also answers in minutes so I need to convert the hours to minutes. One hour equals 60 minutes so hours equals 0 minutes. Both B and D are correct. 5.MD. You try: A group of actors were rehearsing for a play. Rehearsal ended at 7:5pm. Rehearsal was minutes long. What time did rehearsal begin? Page of 9 MCC@WCCUSD (AUSD) 0/7/5
LINEAR MEASURENT Eample: How many inches are in feet? Customary Length Metric Length in ft 0 mm cm ft yd 00 cm m 760 yd mi 000 m km Unit of Measurement Table feet ft ft ft inches in in in = in + in + in = 6 inches Substitution ft ( foot) ( inches) ( ) inches 6 inches There are 6 inches in feet. Unit Conversion conversion unit equivalent unit ft ft ft 6in in ft in ft ft in in * Students are epected to be familiar with ALL the customary and metric units of measures through measurement study in grade. Students should NOT epect to be given conversion charts on assessments. 5.MD. You try: A fence that runs along a school yard has sections meters long. If the fence is 0. km, how many sections are there? You try: Complete the following inequalities..5 cm A B C 5 mm 7 ft A B C 5 yd,000 mm A B C 0 m Page of 9 MCC@WCCUSD (AUSD) 0/7/5
CAPACITY MEASURENT Customary Capacity Metric Capacity fl oz c 000 ml L c pt pt qt qt gal Eample: A reusable water bottle holds 50 ml of liquid. How many bottles would a person need to drink to reach a goal of L of water a day? Unit of Measurement ml 000 ml 000 ml 000 ml 000 ml L L L L L = 000 ml + 000 ml + 000 ml + 000 ml = 000 ml. I will use a table to convert milliliters to liters. 000mL 50mL 000 50 6 50 5 50 5 A person would need to drink 6 bottles to meet the goal of L of water a day 6 6 I need to determine how many bottles are needed so I should divide the total milliliters by 50 ml. 5.MD. You try: Answer the questions below using the given recipe. Party Punch Recipe quart pineapple juice quart orange juice pint soda cup strawberry puree a) How many quarts of punch does this recipe make? b) If a glass holds one cup of punch, how many glasses of punch will there be for party guests? Page of 9 MCC@WCCUSD (AUSD) 0/7/5
Weight/Mass Customary Weight Metric Mass 6 oz lb 000 mg g 000 lb ton 000 g kg Eample: Alameda has a Farmer s Market each Tuesday that sells fresh fruit and vegetables. Determine whether the statement below is true or false. Farmer McDonald sells baskets of berries. Each basket contains 00 grams of berries. He sells an average of 55 baskets each week. He will need to bring more than 00 kilograms of berries each week to the market to meet the needs of his customers. Total Berries Needed (grams) 00g 55 05,000 g Totals Berries Needed (kilograms) 05,000 g kg 05,000 g 05 05,000 g (000 g) 05kg I can use substitution to determine the kilograms needed. True A I know that 05kg >00kg so the answer is true. False B 5.MD. You try: The average weight for a rhinoceros is.5 ton. How many pounds does a herd of rhinos weigh, if there are in the herd? Page of 9 MCC@WCCUSD (AUSD) 0/7/5
5 MIXED UNITS I can use decomposition to help me add and subtract. I decompose the mied units, then use the commutative property to arrange like units near each other. This makes it simpler to add, subtract and regroup when necessary. Adding 7ft in + ft 9in Decomposition Regrouping Subtracting 5 yd yd ft Decomposition Regrouping 7 ft in ft 9 in 7 ft in ft 9 in (7 ft ft) ( in 9 in) ft 7in ft in 5in ft ft 5in ft 5in ft 7 ft ft in 9 in ft 5 in When I regroup, I need to remember that each foot is inches. 5 yd yd ft (yd yd) (yd (yd ft) (yd ( yd yd) ( ft yd ft yd ft ft) ft) ft) yd 5 yd ft yd ft yd ft When I regroup, I need to remember that each yard is feet. 5.MD. 5 You try: Complete each equation. 5 You try: Simplify. a) 57 mm = cm mm a) hr 5 min. + hr min. b) km 75 m = m c) L = ml d) 000 ft = mi ft b) T 500 lb 65 lb e) oz = lb oz Page 5 of 9 MCC@WCCUSD (AUSD) 0/7/5
6 Snow sticks to the ground when at least half an inch falls, and it takes or more inches of snow for a good snowman. Some children wondered if they could make their own snowman. They found this weather data on the internet for the last week. Create a line plot with the data and determine if enough snow fell to make a good snowman. Snow (inches) M T W Th F S S Snow (inches),,,,,, First find common denominators. 5 6 7 =,,, 6,, 6, =,,,,, 6, 6 Then put the data in order to make it easier to graph. = + + + 6 + 6 æ = + ö ø + æ + 6 + 6 ö ø = + 6 = + + There are eactly inches of snow, so the children can build a snowman. = inches 5.MD. 6 Error Analysis: A student showed the work below to answer the question above. What was the mistake he made?,,,,,, = + + + + + 6 + 6 æ = + 6 ö ø + æ + ö ø + æ + + 6 ö ø = + + = + 5 = 5 inches There are more than inches of snow, so the children can build a snowman. Page 6 of 9 MCC@WCCUSD (AUSD) 0/7/5
End of Study Guide You Try Solutions: You try: A group of actors were rehearsing for a play. Rehearsal ended at 7:5pm. Rehearsal was minutes long. What time did rehearsal begin? -7 min -0 min -0 min -5 min 6:PM 6:0 6:0 7:00 7:5PM The actors began rehearsal at 6: pm. You try: A fence that runs along a school yard has sections meters long. If the fence is 0. km, how many sections are there? CONVERT DIVIDE There are 50 sections of fence. 0. km 000m 50 km 00 0. km 000 m 0 km 00 0. 000 m 0 00m 0 You try: Complete the following inequalities..5 cm A B C 5 mm 7 ft A B C 5 yd,000 mm A B C 0 m Page 7 of 9 MCC@WCCUSD (AUSD) 0/7/5
You try: Answer the questions below using the given recipe. Party Punch Recipe quart pineapple juice quart orange juice pint soda cup strawberry puree a) How many quarts of punch does this recipe make? qt ( qt) qt qt qt qt qt pt ( c) c qt This recipe will make pt c c c quarts of punch. b) If a glass holds one cup of punch, how many glasses of punch will there be for party guests? qt ( c) c qt qt ( c) qt ( c) This recipe will make glasses of punch for party guests. You try: The average weight for a rhinoceros is.5 ton. How many pounds (lb) does a herd of rhinos weigh, if there are in the herd? AVERAGE WEIGHT.5 000 7700lb The average weight of a rhino is 7,700 lb. WEIGHT OF HERD 7700 00lb The weight of the herd would be,00 lb. Page of 9 MCC@WCCUSD (AUSD) 0/7/5
5 You try: Complete each equation. a) 57 mm = 5 cm 7 mm b) km 75 m = 75 m c) L = 000 ml d) 000 ft = mi 70 ft e) oz = lb oz 5 You try: Find the sum or difference. a) hr 5 min. + hr min. b) T 500 lb 65 lb hr 5 min hr min ( hr hr) (5min min) hr 6min hr 60min min hr ( hr) min 5 hr min 5 hr min T 500lb T 500lb 65lb T lb 6 Error Analysis: A student showed the work below to answer the question above. What was the mistake he made? This student made a mistake because = he didn t read the problem closely. It said + + + + + 6 + 6 Snow sticks to the ground when at least æ ö æ ö æ ö ø ø ø half an inch falls. That means only = + 6 + + + + + 6 = + + = + 5 = 5 inches There are more than inches of snow, so the child can build a snowman. fractions that are or greater should be used. In this problem that would be the data that is or greater. Unfortunately, this student used all of the data. Page 9 of 9 MCC@WCCUSD (AUSD) 0/7/5