Mr. McGinnis, Math, 5th Grade
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McGinnis Math Update February 15th
Week of Feb. 5th McGinnis Math
Greetings 5th Grade Families,
REMINDER
If you're checking your child's Friday Folder, you've seen a lot of math papers come home; some blank, some partially completed, and some with feedback. I want to reiterate that this is NOT HOMEWORK. I've received feedback that having work to practice at home is preferred. Many of our students would benefit from additional support and practice at home. I do want to honor the work students put in, so IF STUDENTS BRING BACK THE 'RETEACH/ ENRICHMENT EXTENSION ACCURATE AND COMPLETE, I will adjust their grade for that lesson. I haven't had many students take advantage of this yet but it's there if they would like the opportunity to improve their grade from classwork.
WHAT ARE WE DOING IN MATH?
We've moved on from dividing multi digit whole numbers to dividing with decimals. The only real difference is that we're not using remainders but are now using what we know about decimal place value to get a complete answer.
In this chapter, your student is learning about division of decimals. The first lesson shows patterns for dividing by powers of 10. The next lesson uses compatible numbers to estimate quotients. Using models helps students to make sense of quotients involving decimals. Your student will learn how to place the decimal point in the quotient and how to work with zeros in the dividend. Finally, your student will solve multi-step word problems to apply what he or she has learned.
HOW CAN YOU SUPPORT LEARNING AT HOME
There are many situations that you can use to help your student understand division of decimals.
- Measure the length and width of a room in meters. Multiply to find the area. Give your student the area and the length of the room. Then ask, “What is the width, in meters?” Have your student first estimate the answer and then divide to find the actual answer. Ask, “Does your answer make sense, based on your estimate?”
- Use a grocery receipt as an opportunity to divide decimals when you buy apples or some other food by the pound. Say, “We spent $3.12 on apples that cost $1.98 per pound. How many pounds of apples did we buy?”
- Have your student find the unit price of an item. Say, “A 64-ounce bottle of juice costs $3.87. What is the unit price?”
- Divide money equally among people. Choose an amount of money, such as $5.73. Ask, “Can you divide the money equally among 3 people? If so, how much would each person get?”
By the end of this chapter, your student should feel confident with the learning targets and success criteria on the next page. Encourage your student to use and practice the skills of dividing decimals routinely.
Have fun dividing decimals!
Please reach out to me with any questions or feedback you have regarding your student's math progress.
Week of 1/16 5th Grade Math
With a new year, we've jumped into a new chapter! Your student is learning strategies to understand dividing by one- and two-digit numbers.
- 6.1 and 6.2 Exit Tickets with feedback (Graded in Infinite Campus)
- Ungraded and Unfinished Practice Sheets for additional Practice
- A Reteach/Enrichment Extension: If your student would like to improve their grade from a 2 to a 3, have them bring back the Reteach Sheet accurately completed. If your student would like to improve their grade from a 3 to a 4, have them accurately complete the Enrichment Extension and bring it back to me.
• You can help your student practice dividing whole numbers while solving real-life sharing problems! Ask your student to divide a number of items equally among several people. Ask, “How many trading cards will each of 30 people get if they share 480 trading cards equally?” Encourage your student to explain more than one strategy for finding the answer. “How is 480 ÷ 30 related to 480 ÷ 3? 48 ÷ 3?” Have your student draw an area model and explain how it can be used to divide. “How is an area model related to partial quotients?”
• Talk about items that come in cases with separate packages and a total that is a three- or four-digit number. Have your student write the total number of items per case. Then, use division to find the number of packages per case. For example, a case of rubber balls has a total of 108 balls that come in separate packages of 18. Ask, “What is the quotient of 108 ÷ 18? How can you estimate the first number of the quotient?” Continue by asking, “Can you find the number of packages in two cases? How many packages would there be in 2 cases of rubber balls with 6 balls in each package?”
• Ask your student to think of a scenario where there is a three-digit number of chairs. Have your student roll a number cube to randomly generate the digits of such a number, and then generate a two-digit number of rows that will have an equal number of chairs. Then, have your student choose a strategy to divide. Have your student use estimation or multiplication to check the answer.
By the end of this chapter, your student should feel confident with the learning targets and success criteria on the next page. Encourage your student to think of other contexts for dividing whole numbers, such as finding how many hours there are in a given number of minutes.
Thank you so much for partnering with me in helping them master division. Have a great time practicing!
Week of 12/11
Week of Thanksgiving Break - 5th Grade Math
Week of 11/13 5th Grade Math
Dear Family,
WHAT WE'VE LEARNED
Chapter 1 focused on place value from thousands to thousandths and the base 10 pattern. Chapter 2 focused on Order of Operations. Chapter 3 focused on adding and subtracting decimals. Chapter 4 focused on multiplying multi-digit whole numbers. These chapters all build up to our next chapter of study.
WHAT WE'RE LEARNING
In this chapter, your student is multiplying decimals using models, place value, partial products, and the laws of multiplication. Your student will find products involving multiples of 10 and powers of 10. He or she will also learn to estimate products. Finally, he or she will solve word problems involving money.
Some review words for this chapter are: base, decimal, exponent, and power.
LEARNING AT HOME
I'll continue to send home the exit tickets from each lesson with feedback on it along with the Reteach Sheets that show how it was taught in Friday Folders. Starting with this last chapter, I sent home some Extra Practice samples from each lesson to offer additional practice at home to bring back to school to improve grades for that lesson in case they didn't do well on the Exit Ticket. You don't have to rely on worksheets to get mathematical practice in at home.
Here are some situations you can use to practice multiplying decimals together.
- Take a walk outside with your student or use a fitness tracker. Make a plan to walk for 1 mile, and increase the amount by 0.1 mile each day for three days. Ask, “How would you find the distance you walk on the second day? the third day?”
- Go grocery shopping. Find something with a dollars and cents cost of less than $10 and ask, “How much will 3 of these cost?” Find something that is sold by the pound and ask, “How much will 2 pounds cost? How much will 2.5 pounds cost?” Find something in the produce section that is sold by the pound. Have your student weigh it, and ask, “How much will this cost to buy?"
- When you pull up to a pump to get gas for your car, have your student identify the price per gallon for the type of gas you use. Ask, “How much will it cost to buy 2 gallons of gas?” Determine the amount of gas you are going to buy. Then ask, “About how much will it cost to buy that many gallons of gas?” Compare the actual cost and the estimated cost.
By the end of this chapter, your student should feel confident with the learning targets and success criteria on the next page. Talk about the many types of real-life situations when multiplication of decimals is used.
Week of 11/6
In this chapter, your student learned about multiplication of whole numbers. Your student began by investigating multiplication patterns and estimating products. Then they multiplied to find partial products, regrouped when needed, and added partial products to find a product.
The vocabulary words for this chapter are overestimate and underestimate.
- When you go to a theater, ask your student to estimate how many rows of seats and how many seats are in each row. Then ask, “How many seats are there in all?” If a movie theater is a multiplex, ask, “If each theater has the same number of seats, how many seats are in the multiplex?”
- Grocery shopping provides another opportunity for your student to multiply whole numbers. When you see a display that has the same number of items in each row, ask, “How many items are in the display?” Encourage your student to multiply the number of items in each row by the number of rows to find the answer.
- Going to a restaurant provides another opportunity to practice multiplying whole numbers with your student. If the restaurant has booths that seat four people, ask, “How many booths are there? How many people can sit in the booths?”
By now, your student should feel confident with the learning targets and success criteria. Encourage your student to think of other real-life situations to use multiplication of whole numbers, such as estimating the number of spaces in a parking lot.
October 16 - 20
Week of 9/25
- When balancing a checkbook, (which they'll learn later this year in personal finance), you need to know how to add and subtract decimals. Show your student your checkbook or a sample checkbook. Leave the balance column blank. Ask, "Do I add or subtract this entry to find the balance?" Then have your student find the sum or difference.
- Go to the grocery store with your student and a small list of items to purchase. Have your student record the cost of each item on your list. Ask your student to estimate the total cost of the groceries and then find the exact cost. Next, tell your student that you want to remove an item from the list. Ask, "What is the new exact cost?"
- The next time you are at a restaurant, ask your student to estimate the total cost of the meal before tax and tip. Then have your student find the total cost. Ask, "How close was your estimate?" Tell your student you have a coupon for $5 off the total. Ask, "What is the new total cost?"
Week of 9/5
Associative Property, Addition Property of Zero, Multiplication Properties of
Zero and One, and Distributive Property. These properties are helpful in
writing equivalent numerical expressions. The vocabulary terms for the chapter
are: evaluate, numerical expression, and order of operations.
Numerical expressions can be evaluated using a set of rules known as the order of operations.
1. Perform operations in grouping symbols.
2. Multiply and divide from left to right.
3. Add and subtract from left to right.
student will also interpret the meaning of numerical expressions.
• Have your student find ticket prices for different events in your area.
The ticket prices should have multiple prices (e.g., adult/child prices,
sections with different pricing). Have your student write an expression
to represent the cost for your family to attend the different events.
Create additional scenarios by having your student invite different
numbers of friends or by changing the prices.
By the end of this unit, your student should feel confident with number
properties. Your student will also have an understanding of evaluating numerical expressions using the order of operations and writing numerical expressions.
Week of 8/13 and 8/21
- You can help your student see how these concepts are relevant when looking at population data. Help your student find the population of your town, city, or country then write down the number in word form and expanded form. Compare the population with another city or town.
- Decimals can be found in measurements and prices. Help your student find gas prices for one gallon of gas from three different gas stations in your area. Have your student write each price in word form and expanded form. Ask your student which form they pefer to use when comparing prices.
- You can also find the results of a local or national race. Compare the finish times of the top three finishers. Round the finish times to the nearest hundredth of a second. Then round the finish times to the nearest tenth of a second. Determine if using rounded times would affect the first, second, and third place winners.