This Week's Lessons
THIS WEEK
June 4, 2014
Day 1: Book pg 47, 2(e)
John and Elise have collected 99 coins. John has twice as many coins as Elise. How many coins does John have? (Draw a diagram with equal units--blocks--representing each person's amount.)
Day 2: Book pg 48, 1(e)
Terri read three books over the summer. Book 1 and book 2 had the same number of pages, but book 3 had twice as many pages as either of the other two books. If she read a total of 400 pages, how many pages were in book 3? (Draw a diagram for each book using equal units--blocks--to represent the number of pages in each book.)
Day 3: Book pg 58 all
Lola wants to buy 12 kittens. Each kitten is $8. How much will it cost? (Draw a diagram even if you can solve it without a diagram.)
Day 4: Book pg 62 all
Sam has a goat farm. He wants to put socks on all of his goats' hooves. If he has 17 goats, how many socks will he need? (Draw a diagram even if you can solve it without a diagram.)
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Remember:
1) Must have Common Denominators
2) Change fractions to an equivalent fraction with the same denominators (To make an equivalent fraction, find a common multiple. Then, what you do to the top, you must do to the bottom of the fraction. Or vice versa.)
3) Compare, Add, or Subtract
Day 1
1) 9/10; 2/3 First, compare the two fractions, <>=. Then add the two fractions -- leave as an improper fraction. Then placing the greater fraction first, subtract the two fractions.
2) 162.8 + 28.17
3) Joseph uses 2 feet of a 4 foot board. What fraction of the board did he use?
Day 2
1) 5/7; 3/4 First, compare the two fractions, <>=. Then add the two fractions -- leave as an improper fraction. Then placing the greater fraction first, subtract the two fractions.
2) 162.8 - 28.17
3) Jane uses 6 cups of flour from an 8 cup bag of flour to make bread. What fraction of the flour did she use?
Day 3
1) 8/9; 13/15 First, compare the two fractions, <>=. Then add the two fractions -- leave as an improper fraction. Then placing the greater fraction first, subtract the two fractions.
2) 13.4 * 8.2
3) Sophie cuts 3 inches from a 12 inch long piece of ribbon. What fraction of the ribbon did she use?
Day 4
1) 2/5; 8/20 First, compare the two fractions, <>=. Then add the two fractions -- leave as an improper fraction. Then placing the greater fraction first, subtract the two fractions.
2) 174.5 / 6 (round to the nearest tenth or one decimal place)
3) Tom's cat weighs 6 lbs. John's cat weighs 8 lbs. What is the total weight of the two cats? What fraction of the total weight of the two cats is Tom's cat?
Day 5
1) 7/12; 5/8 First, compare the two fractions, <>=. Then add the two fractions -- leave as an improper fraction. Then placing the greater fraction first, subtract the two fractions.
2) (10 - 2) * 6 / (4 * 12)
3) Today, it snowed 3 inches. Two weeks ago, it snowed 7 inches. In February, it snowed 20 inches and in January, 12 inches. What was the total snowfall this year? What fraction of the total snowfall fell in March?
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This week we worked on using equivalent fractions to compare and order fractions. I would like you to start the week, however, reviewing decimals. Feel free to use Khan Academy if you need a refresher. Remember, in order to compare fractions, you need to have COMMON DENOMINATORS (same bottom number). Change each fraction into an equivalent fraction with the same denominator. Then it is easy to figure out which one is bigger or smaller. 1) Find common denominators by finding common multiples of the denominators (multiples = count by that number).
2) Change the denominator to that common multiple and multiply the numerator (top number) by the same factor that you had to multiply find the new common denominator. Remember, what you do to the bottom, you must do to the top.
3) Compare your fractions now that they both have the same denominator.
Day 1: Decimal Review
1) 54.86 + 101.685
2) 2458.19 - 589.481
3) 245 * 166 (Round to nearest 100 and estimate)
4) 386 / 8 (Work as a decimal and round to the nearest tenth - 1/10)
5) 16 * 2 + 4 / 4 - (8 + 2)
Day 2: Comparing Fractions
1) Write >, <, or =
a. 1/2 2/3
b. 2/3 6/9
c. 3/5 8/11
2) Write in increasing order (smallest to largest): 1/2, 1/3, 1/4
3) Jonathan has a board cut into 10 equal pieces. He uses 3 to make a bird house. Sue also has a board of the same length but it is cut into 5 equal pieces. She uses 3 to make her bird house. Who used more wood?
Day 3: Comparing Fractions
1) Write >, <, or =
a. 1/3 2/4
b. 5/10 1/2
c. 9/13 5/6
2) Write in decreasing order (largest to smallest): 4/5, 1/5, 2/5
3) Sarah Jane used 2/3 of a liter of paint to paint a mailbox. Landon used 7/10 of a liter on his and Alex used 2/5 of a liter. Who used the least amount of paint?
Day 4: Comparing Fractions
1) Write >, <, or =
a. 3/4 4/5
b. 12/16 3/4
c. 4/7 6/12
2) Write in increasing order (smallest to largest): 5/100, 5/20, 5/7
3) You have 6/7 of a yard of fabric. You have enough fabric to make one item of clothing, but you are not sure which one you should make. Pattern 1 is for a shirt and needs 9/10 of a yard of fabric. Pattern 2 is for some pants and needs 15/21 of a yard of fabric. Pattern 3 is for a cape and needs 13/14 of a yard of fabric. What can you make?
---------------------------------------------------
ALSO DO Khan Academy ( code is Q4YZ2A) login is [email protected] and then Roland
Lets work on Visualizing Equivalent Fractions this week and review decimals, whole numbers, and order of operations.
Day 1: Watch the first three videos of Khan Academy Visualizing Equivalent Fractions (make sure you are signed in so that you get credit!). They should be titled "Introduction to equivalent fractions," "Visualizing Equivalent Fractions," and "Equivalent fraction word problem example." Do the following problems
1) 1/2 = ?/8
2) 1/3 = ?/15
3) 1/4 = ?/16
4) a. If I have a board cut into 5 equal pieces and I use 1 piece for a project, what fraction of the board did I use for the project? What fraction did I NOT use?
b. I am making the same project again, only this time I have another board cut into 15 equal pieces. How many of those pieces do I need?
5) 2356.98 + 23.125
Day 2: Watch the next two videos -- "Equivalent Fraction word problem example 2" and "Equivalent word problem example 3" and do the following problems.
1) 3/5 = ?/20
2) 5/6 = ?/18
3) 4/7 = ?/28
4) a. Josh has a yard of ribbon cut into 8 equal pieces. He uses 7 of them to make a piece of art. What fraction of the ribbon did he use? What fraction is left over?
b. Josh's dog ate the first piece of art, and he wants to make it again. This time he has a yard of ribbon cut into 24 pieces. If he wants to use the same exact amount of ribbon that he used the first time, how many pieces of this ribbon does he need to use?
5) 843/4 (round to the nearest 1/10th -- tenth)
Day 3: Do the Visualizing Equivalent Fractions exercise on Khan Academy. Keep doing it until you get 5 right in a row.
Day 4: Review Khan Academy video "Equivalent Fraction word problem example 3" and watch "More on equivalent Fractions" do the following problems.
1) 1/2 = ?/4 = 10/?
2) 3/10 = ?/20 = 30/?
3) Jaimie had a strip of paper cut into 4 equal pieces and used three of them. Who else used the same amount of paper?
a. Sarah's paper was cut into 5 equal pieces and she used 2. b. Tom's paper was cut into 8 equal pieces and he used 6.c. Julie's paper was cut into 10 equal pieces and she used 4.d. Peter's paper was cut into 20 equal pieces and he used 15.
4) Round to the nearest 1000 and estimate: 1463*5982
Day 5: View "Equivalent fractions example" and do the exercises "Equivalent Fractions"
--------------------------------------------------------
You can either go to 4th grade math, Fractions and start from the top, or search "Visualizing Equivalent Fractions" to get started.
Keep up the great work!
WEDNESDAY: Visualizing Equivalent Fractions.
124.56 + 45.542
563/8
6 + 5 - 12 * 2
Round to 100 and estimate 356 * 703
Thursday: Comparing Fractions
Review Problems:
6543.9 - 547.78 253 * 109 (10-5) * 20 - 16 / 4 Round to 1000 and estimate 1294 * 62,589
Friday: Adding Fractions with Like Denominators
Review Problems:
5.78 * 2.7; 2,345,634 - 543,452; 6 * 10 - 24 / (6 * 2); Round to the 1/10 (tenth) and estimate 5.98 + 26.349
Saturday: Adding and Subtracting Fraction Word Problems
Review Problems:
54.78 / 4 (round to 1/100 -- hundredth); 242,543 + 98,212; 12 + (10 + 2) / (6 * 2) - 3; Round to 1000 and 100 and estimate 670* 3219
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Wednesday
1. Round to the nearest 100: 7262; 18,921; 1263.57; 1,246,989 2. Round to the nearest 1000: 7262; 18,921; 1263.57; 1,246,989
3. Round to the nearest 1/10 (tenth): 72.62; 18.921; 1263.57; 12,469.89
4. Round to the nearest 100 and estimate the value.825*692; 1219*450
5. Order of operations: 6 + 2 * 24 / 8 - 12
Thursday
1. Round to the nearest 100: 657; 12,222; 1529.15; 6,526,778
2. Round to the nearest 1000: 657; 12,222; 1529.15; 6,526,778
3. Round to the nearest 1/10 (tenth): 6.57; 122.22; 1529.15; 65,267.78
4. Round to the nearest 1000 and estimate.6225*10,821; 21,059*7921
5. Order of operations: 48 / (10 - 4) * 100
Friday
1. Round to the nearest 100: 2010; 6981; 82,764; 4,816,275
2. Round to the nearest 1000: 2010; 6981; 82,764; 4,816,275
3. Round to the nearest 1/10 (tenth): 20.10; 69.81; 827.64; 48,162.75
4. Round to the nearest 100 or 1000 and estimate.6720*828; 15,500*490
5. Order of operations: 12 + (10+2) / (6*2) - 3
-----------------------------------------------------------------------------------------------------------------------------------------------------------------
Order of operations: Please excuse my dear Aunt Sally.
Parenthesis/exponents
multiplication/division
addition/subtraction
Reminders for working with decimals:
--Add/Subtract: Line up the decimals (remember, every whole number has a decimal after it -- even if you can't see it 12 ==> 12.0 )
--Multiply: 1. Ignore the decimals, 2. Work problem as normal, 3. Count number of decimal places in the original problem and move the decimal place in the answer to the left that number of places.
--Divide: Immediately place the decimal in the answer space. Work problem as normal.
Problems this week:
Monday:
48 + 12 + 37 =
96 / 3 / 4 =
1 + 5 * 6 =
(1 + 5) * 6 =
64 / 8 * 5 =
Tuesday
36 + 18 - 19 =
7 * 5 * 8 =
140 - 40 * 3 =
(140 - 40) * 3 =
46 + 32 / 8 =
Wednesday
70 + 24 / 6 - 4 =
125 / 5 - 12 * 2 =
(19 + 16) / 5 * 1.3 =
12 * (9 - 4.4) =
(14 + 6.25) / 5 =
Thursday
20 + (8 + 4) / 3 =
16.85 + (9.5 - 3.8) * 5.28 =
7 * (4 + 2.3) * 8 =
7 * (13.4 - 6.8) - 19.90 =
(28.8 - 1.89) * 10 =
Friday
156.78 + 453.921 =
6429.987 - 3574.56 =
34.6 * 2.8 =
764.7 / 4 = (round to 2 decimal places)
June 4, 2014
Day 1: Book pg 47, 2(e)
John and Elise have collected 99 coins. John has twice as many coins as Elise. How many coins does John have? (Draw a diagram with equal units--blocks--representing each person's amount.)
Day 2: Book pg 48, 1(e)
Terri read three books over the summer. Book 1 and book 2 had the same number of pages, but book 3 had twice as many pages as either of the other two books. If she read a total of 400 pages, how many pages were in book 3? (Draw a diagram for each book using equal units--blocks--to represent the number of pages in each book.)
Day 3: Book pg 58 all
Lola wants to buy 12 kittens. Each kitten is $8. How much will it cost? (Draw a diagram even if you can solve it without a diagram.)
Day 4: Book pg 62 all
Sam has a goat farm. He wants to put socks on all of his goats' hooves. If he has 17 goats, how many socks will he need? (Draw a diagram even if you can solve it without a diagram.)
-----------------------------------------------------
Remember:
1) Must have Common Denominators
2) Change fractions to an equivalent fraction with the same denominators (To make an equivalent fraction, find a common multiple. Then, what you do to the top, you must do to the bottom of the fraction. Or vice versa.)
3) Compare, Add, or Subtract
Day 1
1) 9/10; 2/3 First, compare the two fractions, <>=. Then add the two fractions -- leave as an improper fraction. Then placing the greater fraction first, subtract the two fractions.
2) 162.8 + 28.17
3) Joseph uses 2 feet of a 4 foot board. What fraction of the board did he use?
Day 2
1) 5/7; 3/4 First, compare the two fractions, <>=. Then add the two fractions -- leave as an improper fraction. Then placing the greater fraction first, subtract the two fractions.
2) 162.8 - 28.17
3) Jane uses 6 cups of flour from an 8 cup bag of flour to make bread. What fraction of the flour did she use?
Day 3
1) 8/9; 13/15 First, compare the two fractions, <>=. Then add the two fractions -- leave as an improper fraction. Then placing the greater fraction first, subtract the two fractions.
2) 13.4 * 8.2
3) Sophie cuts 3 inches from a 12 inch long piece of ribbon. What fraction of the ribbon did she use?
Day 4
1) 2/5; 8/20 First, compare the two fractions, <>=. Then add the two fractions -- leave as an improper fraction. Then placing the greater fraction first, subtract the two fractions.
2) 174.5 / 6 (round to the nearest tenth or one decimal place)
3) Tom's cat weighs 6 lbs. John's cat weighs 8 lbs. What is the total weight of the two cats? What fraction of the total weight of the two cats is Tom's cat?
Day 5
1) 7/12; 5/8 First, compare the two fractions, <>=. Then add the two fractions -- leave as an improper fraction. Then placing the greater fraction first, subtract the two fractions.
2) (10 - 2) * 6 / (4 * 12)
3) Today, it snowed 3 inches. Two weeks ago, it snowed 7 inches. In February, it snowed 20 inches and in January, 12 inches. What was the total snowfall this year? What fraction of the total snowfall fell in March?
----------------------------------------------------------
This week we worked on using equivalent fractions to compare and order fractions. I would like you to start the week, however, reviewing decimals. Feel free to use Khan Academy if you need a refresher. Remember, in order to compare fractions, you need to have COMMON DENOMINATORS (same bottom number). Change each fraction into an equivalent fraction with the same denominator. Then it is easy to figure out which one is bigger or smaller. 1) Find common denominators by finding common multiples of the denominators (multiples = count by that number).
2) Change the denominator to that common multiple and multiply the numerator (top number) by the same factor that you had to multiply find the new common denominator. Remember, what you do to the bottom, you must do to the top.
3) Compare your fractions now that they both have the same denominator.
Day 1: Decimal Review
1) 54.86 + 101.685
2) 2458.19 - 589.481
3) 245 * 166 (Round to nearest 100 and estimate)
4) 386 / 8 (Work as a decimal and round to the nearest tenth - 1/10)
5) 16 * 2 + 4 / 4 - (8 + 2)
Day 2: Comparing Fractions
1) Write >, <, or =
a. 1/2 2/3
b. 2/3 6/9
c. 3/5 8/11
2) Write in increasing order (smallest to largest): 1/2, 1/3, 1/4
3) Jonathan has a board cut into 10 equal pieces. He uses 3 to make a bird house. Sue also has a board of the same length but it is cut into 5 equal pieces. She uses 3 to make her bird house. Who used more wood?
Day 3: Comparing Fractions
1) Write >, <, or =
a. 1/3 2/4
b. 5/10 1/2
c. 9/13 5/6
2) Write in decreasing order (largest to smallest): 4/5, 1/5, 2/5
3) Sarah Jane used 2/3 of a liter of paint to paint a mailbox. Landon used 7/10 of a liter on his and Alex used 2/5 of a liter. Who used the least amount of paint?
Day 4: Comparing Fractions
1) Write >, <, or =
a. 3/4 4/5
b. 12/16 3/4
c. 4/7 6/12
2) Write in increasing order (smallest to largest): 5/100, 5/20, 5/7
3) You have 6/7 of a yard of fabric. You have enough fabric to make one item of clothing, but you are not sure which one you should make. Pattern 1 is for a shirt and needs 9/10 of a yard of fabric. Pattern 2 is for some pants and needs 15/21 of a yard of fabric. Pattern 3 is for a cape and needs 13/14 of a yard of fabric. What can you make?
---------------------------------------------------
ALSO DO Khan Academy ( code is Q4YZ2A) login is [email protected] and then Roland
Lets work on Visualizing Equivalent Fractions this week and review decimals, whole numbers, and order of operations.
Day 1: Watch the first three videos of Khan Academy Visualizing Equivalent Fractions (make sure you are signed in so that you get credit!). They should be titled "Introduction to equivalent fractions," "Visualizing Equivalent Fractions," and "Equivalent fraction word problem example." Do the following problems
1) 1/2 = ?/8
2) 1/3 = ?/15
3) 1/4 = ?/16
4) a. If I have a board cut into 5 equal pieces and I use 1 piece for a project, what fraction of the board did I use for the project? What fraction did I NOT use?
b. I am making the same project again, only this time I have another board cut into 15 equal pieces. How many of those pieces do I need?
5) 2356.98 + 23.125
Day 2: Watch the next two videos -- "Equivalent Fraction word problem example 2" and "Equivalent word problem example 3" and do the following problems.
1) 3/5 = ?/20
2) 5/6 = ?/18
3) 4/7 = ?/28
4) a. Josh has a yard of ribbon cut into 8 equal pieces. He uses 7 of them to make a piece of art. What fraction of the ribbon did he use? What fraction is left over?
b. Josh's dog ate the first piece of art, and he wants to make it again. This time he has a yard of ribbon cut into 24 pieces. If he wants to use the same exact amount of ribbon that he used the first time, how many pieces of this ribbon does he need to use?
5) 843/4 (round to the nearest 1/10th -- tenth)
Day 3: Do the Visualizing Equivalent Fractions exercise on Khan Academy. Keep doing it until you get 5 right in a row.
Day 4: Review Khan Academy video "Equivalent Fraction word problem example 3" and watch "More on equivalent Fractions" do the following problems.
1) 1/2 = ?/4 = 10/?
2) 3/10 = ?/20 = 30/?
3) Jaimie had a strip of paper cut into 4 equal pieces and used three of them. Who else used the same amount of paper?
a. Sarah's paper was cut into 5 equal pieces and she used 2. b. Tom's paper was cut into 8 equal pieces and he used 6.c. Julie's paper was cut into 10 equal pieces and she used 4.d. Peter's paper was cut into 20 equal pieces and he used 15.
4) Round to the nearest 1000 and estimate: 1463*5982
Day 5: View "Equivalent fractions example" and do the exercises "Equivalent Fractions"
--------------------------------------------------------
You can either go to 4th grade math, Fractions and start from the top, or search "Visualizing Equivalent Fractions" to get started.
Keep up the great work!
WEDNESDAY: Visualizing Equivalent Fractions.
124.56 + 45.542
563/8
6 + 5 - 12 * 2
Round to 100 and estimate 356 * 703
Thursday: Comparing Fractions
Review Problems:
6543.9 - 547.78 253 * 109 (10-5) * 20 - 16 / 4 Round to 1000 and estimate 1294 * 62,589
Friday: Adding Fractions with Like Denominators
Review Problems:
5.78 * 2.7; 2,345,634 - 543,452; 6 * 10 - 24 / (6 * 2); Round to the 1/10 (tenth) and estimate 5.98 + 26.349
Saturday: Adding and Subtracting Fraction Word Problems
Review Problems:
54.78 / 4 (round to 1/100 -- hundredth); 242,543 + 98,212; 12 + (10 + 2) / (6 * 2) - 3; Round to 1000 and 100 and estimate 670* 3219
-------------------------------------------------------------------------------------------------------------------------------
Wednesday
1. Round to the nearest 100: 7262; 18,921; 1263.57; 1,246,989 2. Round to the nearest 1000: 7262; 18,921; 1263.57; 1,246,989
3. Round to the nearest 1/10 (tenth): 72.62; 18.921; 1263.57; 12,469.89
4. Round to the nearest 100 and estimate the value.825*692; 1219*450
5. Order of operations: 6 + 2 * 24 / 8 - 12
Thursday
1. Round to the nearest 100: 657; 12,222; 1529.15; 6,526,778
2. Round to the nearest 1000: 657; 12,222; 1529.15; 6,526,778
3. Round to the nearest 1/10 (tenth): 6.57; 122.22; 1529.15; 65,267.78
4. Round to the nearest 1000 and estimate.6225*10,821; 21,059*7921
5. Order of operations: 48 / (10 - 4) * 100
Friday
1. Round to the nearest 100: 2010; 6981; 82,764; 4,816,275
2. Round to the nearest 1000: 2010; 6981; 82,764; 4,816,275
3. Round to the nearest 1/10 (tenth): 20.10; 69.81; 827.64; 48,162.75
4. Round to the nearest 100 or 1000 and estimate.6720*828; 15,500*490
5. Order of operations: 12 + (10+2) / (6*2) - 3
-----------------------------------------------------------------------------------------------------------------------------------------------------------------
Order of operations: Please excuse my dear Aunt Sally.
Parenthesis/exponents
multiplication/division
addition/subtraction
Reminders for working with decimals:
--Add/Subtract: Line up the decimals (remember, every whole number has a decimal after it -- even if you can't see it 12 ==> 12.0 )
--Multiply: 1. Ignore the decimals, 2. Work problem as normal, 3. Count number of decimal places in the original problem and move the decimal place in the answer to the left that number of places.
--Divide: Immediately place the decimal in the answer space. Work problem as normal.
Problems this week:
Monday:
48 + 12 + 37 =
96 / 3 / 4 =
1 + 5 * 6 =
(1 + 5) * 6 =
64 / 8 * 5 =
Tuesday
36 + 18 - 19 =
7 * 5 * 8 =
140 - 40 * 3 =
(140 - 40) * 3 =
46 + 32 / 8 =
Wednesday
70 + 24 / 6 - 4 =
125 / 5 - 12 * 2 =
(19 + 16) / 5 * 1.3 =
12 * (9 - 4.4) =
(14 + 6.25) / 5 =
Thursday
20 + (8 + 4) / 3 =
16.85 + (9.5 - 3.8) * 5.28 =
7 * (4 + 2.3) * 8 =
7 * (13.4 - 6.8) - 19.90 =
(28.8 - 1.89) * 10 =
Friday
156.78 + 453.921 =
6429.987 - 3574.56 =
34.6 * 2.8 =
764.7 / 4 = (round to 2 decimal places)