Lesson 29 Solve division word problems involving multidigit division with group size unknown and the number of groups unknown Unit Conversions 1 ton lb How many pounds are in 1 ton ID: 738839
Download Presentation The PPT/PDF document "Engage NY Math Module 2" is the property of its rightful owner. Permission is granted to download and print the materials on this web site for personal, non-commercial use only, and to display it on your personal computer provided you do not modify the materials and that you retain all copyright notices contained in the materials. By downloading content from our website, you accept the terms of this agreement.
Slide1
Engage NY Math Module 2
Lesson 29:
Solve division word problems involving multi-digit division with group size unknown and the number of groups unknown.Slide2
Unit Conversions
1 ton = ______
lb
How many pounds are in 1 ton?2,000 lb1 km = ______ mHow many meters are in 1 kilometer?1,000 m1 qt = ______ ptHow many pints are in 1 quart?2 pt1 cm = ______ mmHow many millimeters are in 1 centimeter?10 mm
Complete the following conversions
.Slide3
Unit Conversions
2.67 tons = ______
lbs
What is our conversion factor?1 ton = 2,000 lbsUsing your conversion factor, solve to show how many lbs are in 2.67 tons.2.67 x 2,000 = 5,340 lbs0.084 km = ______ mWhat is our conversion factor?1 km = 1,000 mUsing your conversion factor, solve to show how many m are in 0.084 km.0.084 x 1,000 = 84 mComplete the following conversions.Slide4
Unit Conversions
2.75
qt
= ______ ptWhat is our conversion factor?1 qt = 2 ptUsing your conversion factor, solve to show how many pt are in 2.75 qt.2.75 x 2 = 5.5 pt843 cm = ______ mmWhat is our conversion factor?1 cm = 10 mmUsing your conversion factor, solve to show how many mm are in 843 cm.843 x 10 = 8,430 mm
Complete the following conversions
.Slide5
Divide by Two-Digit Numbers
In your notebooks, solve two of the following problems using the standard algorithm.
8.61
÷ 210.414.9 ÷ 140.3524 ÷ 161.5Slide6
Application Problem
A one-year (52 week) subscription to a weekly magazine is $39.95. Greg calculates that he would save $219.53 if he subscribed to the magazine instead of purchasing it each week at the store. What is the price of the individual magazine at the store?
Multiples of 52
52 -- 1104 -- 2156 -- 3208 -- 4260 -- 5312 -- 6364 – 7416 – 8468 – 9$219.53+ 39.95$259.48Each magazine costs $4.99.52$259.48-208 5144.99 468
468
468Slide7
Concept Development – Problem 1
Lamar has 1354.5 kilograms of potatoes to deliver in equal amounts to 18 stores. 12 of the stores are in the Bronx. How many kilograms of potatoes will be delivered to stores in the Bronx?
Will the amount delivered to the stores in the Bronx be more or less than half of the total amount of potatoes delivered? How do you know?
More than half because more than half of the stores are in the Bronx.Let’s solve this together.Slide8
Concept Development – Problem 1How can you know that your final answer is reasonable? Was the amount delivered to the Bronx stores more than half of the total?
How did you determine if your decimal was placed reasonably in your product?
You were multiplying by 12 so your answer needed to be more than 750 but less than 7,500. The only place that makes sense to put the decimal made the answer 903 – not 90.3 or 9,030.Slide9
Concept Development – Problem 2
Valerie uses 12
oz
of detergent each week for her laundry. If there are 75 oz of detergent in the bottle, in how many weeks will she need to buy a new bottle of detergent? Explain how you know.In your journals, solve this problem with your tablemates.The quotient was more than 6, why can’t Valerie wait another week before buying detergent?The quotient is the number of weeks the detergent will last. It will last a little more than 6 weeks, but she won’t have enough for all the laundry in the seventh week.Slide10
Concept Development – Problem 3
The are of a rectangle is 56.96 m². If the length is 16 m, what is its perimeter.
Solve this problem in your journal. Check with your tablemates after finishing.Slide11
Concept Development – Problem 4
A city block is 3 times as long as it is wide. If the total distance around the block is 0.48 kilometers, what is the area of the block in square meters?
Solve this problem in your journal. Check with your tablemates after finishing.Slide12
End of Lesson ActivitiesDebrief
Problem Set
Homework
Exit TicketSlide13
Exit TicketSolve.
Hayley borrowed $1,854 from her parents. She agreed to repay them in equal installments over the next 18 months. How much will Hayley still owe her parents after a year?Slide14
Problem SetThese problems are the concept development problems from the lesson.Slide15
Homework Task
Solve the word problems, using a bar model.
Michelle
wants to save $150 for a trip to Six Flags Amusement Park. If she saves $12 each week, how many weeks will it take her to save enough money for the trip?Karen works for 85 hours over a two week period. She earns $1,891.25 over this period. How much does Karen earn for 8 hours of work?The area of a rectangle is 256.5 m2. If the length is 18 m, what is the perimeter of the rectangle?Slide16
Homework Task
Solve the word problems, using a bar model.
Tyler baked 702 cookies. He sold them in boxes of 18. After selling all the boxes of cookies, he earned $136.50. What was the cost of one box of cookies?
A park is 4 times as long as it is wide. If the distance around the park is 12.5 kilometers, what is the area of the park?