Mr. Methot - Archived 09/19 Notes

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Notes

In math this week we are working on ratios (les rapports). These are essentially a way of making comparisons between the amounts of something in 2 or more groups. We can come up with a ratio to compare 2 groups, or a ratio to compare one group with the total amount of all the groups. 

For example, if we have 4 brown rabbits and 5 white rabbits, then we can say there is a ratio of 4:5 when comparing the number of brown rabbits to the number of white rabbits. Similarly, a ratio of 5:4 is comparing the number of white rabbits to the number of brown rabbits. A ratio of 4:9 is comparing the number of brown rabbits to all the rabbits, while a ratio of 5:9 is comparing the number of white rabbits to all the rabbits. 

page 178 

1. Write a ratio comparing... a) apples to pears    b) hats to scarves    c) roses to daisies

2. Write a ratio comparing... a) ladybugs to ants   b) ants to ladybugs   c) ladybugs to all the insects   d) ants to all the insects

3. Write a ratio comparing... a) red marbles to green marbles   b) green marbles to all the marbles   c) green marbles to red marbles   d) red marbles to all the marbles

4. Write a ratio comparing... a) girls to boys   b) boys to girls   c) boys to all the students   d) girls to all the students 

5. Write in words what is being compared in each ratio using the dogs and cats at the bottom of the page. 

page 179

6. Represent the ratio 3:5 using drawings and explain what things are being compared in the ratio. Repeat this process with new drawings and a new explanation of what is being compared. 

7. Using the tic-tac-toe grid, come up with 4 different ratios and explain what they each represent. 

9. Write a ratio comparing... a) triangles to squares   b) squares to rectangles   c) triangles to all the shapes   d) red shapes to yellow shapes   e) yellow triangles to yellow rectangles   f) red triangles to yellow squares 

Posted: January 16, 2019

As of this week, your child should from now on be bringing home a leveled French book that they have read with me at school as part of their guided reading. The book they bring home will be appropriate for the individual student's reading level. I have told them that each night they should be reading their book at least twice for practice. I would encourage parents to read with your child and have them read their book out loud to you. Make sure they bring their book back with them each day to school to be prepared for guided readed. Thank you for your cooperation!  

Posted: January 15, 2019

Questions 1 & 2:  Place the fractions on the number line. 

 

Question 3: Find the equivalent fractions for each pair of fractions using a common denominator. Then once the equivalent fractions are found, circle the fraction that is larger of the two. 

ex. a) 8/3 and 6/4

 Common denominator: 12

 Equivalent fractions: 32/12 (multiply both the numerator and denominator by 4) and 18/12 (multiply both the numerator and                                         denominator by 3)

 32/12 = 8/3 --->> larger fraction 

 

4. I told the students they don't need to bother doing this question for homework tonight. 

 

 

Hello 6M parents, I hope you are all having a relaxing weekend. 

Just a reminder to send your child in with their school hoody this week for a group picture.

In math this week we began looking at fractions, what they represent, and the different forms they can come in. The types of fractions we looked at are proper fractions/fractions propres, improper fractions/fractions impropres, and mixed numbers/nombres fractionnaires. Some key ideas we explored are that proper fractions are less than 1, where the numerator/numerateur is smaller than the denominator/denominateur. Improper fractions are more than 1, where the numerator is larger than the denominator. Mixed numbers are also more than 1, and they are made up of an integer/nombre entier and a proper fraction put together. We learned how all types of fractions can be represented using images and how improper fractions and mixed numbers can be converted back and forth from one form to another.

Homework explanations:

pg. 164 #1 - Write out either the improper fraction or mixed number that is depicted by each image. 

 

pg. 168 #2 - Represent each fraction with an image (opposite of question above ^).

 

          #3 - Convert each mixed number into an improper fraction.

                ex. 2 1/3 --> integer (2) X denominator (3) = 6 + numerator (1) = 7 (this is now the numerator for the improper fraction)

                The denominator is the same for the improper fraction (3). The improper fraction is 7/3.

 

          #4 - Convert each improper fraction into a mixed number. 

                ex. 7/3 --> how many groups of 3 fit into 7? 2 groups, with a remainder of 1 (in other words, 7 divided by 3).

                2 becomes the integer for the mixed number. The remainder of 1 is now the numerator. The denominator is the same (3). 

                The mixed number is 2 1/3.

Today we looked at place value with decimal numbers into the millionths. A lot of the concepts are very similar to place value with large numbers, except now are looking at numbers on the right side of the decimal comma. The most important part is to understand the vocabulary in French for each place value and what each word means.

You can reinforce with your child that 1 digit after the decimal comma is the tenths (dixiemes) place, 2 digits after the decimal is the hundredths (centiemes) place, 3 digits after the decimal is the thousandths (milliemes) place, 4 digits after the decimal is the ten thousandths (dix-milliemes) place, 5 digits after the decimal is the hundred thousandths (cent-milliemes) place, and lastly 6 digits after the decimal is the millionths (millioniemes) place. 

pg. 90-91 

1. Represent each number in a table of place values (I showed everyone in class what to do for this question).

 

2. Using the numbers in the yellow box, match each number with the letter for the correct place value of the 5 digit. In other words, for a), which of the numbers in the yellow box has the 5 in the ten thousandths place (dix-milliemes)? Then do the same for b), c), d), e).

a) ten thousandths (dix-milliemes)

b) millionths (millioniemes)

c) thousandths (milliemes)

d) hundred thousandths (cent-milliemes)

e) tenths (dixiemes)

 

3. What is the place value of each digit in the number 4, 524371?

 

4. Write each number in standard form (forme symbolique). 

ex. 3, 9586

 

5. Write each number in expanded form (forme developpee).

ex. 3 + 0,9 + 0,05 + 0,008 + 0,0006 = 3, 9586

Posted: December 3, 2018

The homework for tonight could be challenging. The students should at least be trying each question, but I don't want them spending over a half hour on these questions if they get stumped. We will be going over these tomorrow in class to clarify any uncertainties. 

1. Solve for the product of each multiplication.

2. Add the comma (decimal) in the appropriate spot in the answer (product) to make the answer true.  

4. Solve for the product of each multiplication. 

5. From the 3 options, select the correct answer. 

 

Posted: November 26, 2018

In math today we began exploring multiplication and division of decimal numbers using estimation. 

An example would be 2,73 X 8:  2,73 can be rounded up to 3, so 3 X 8 = 24 gives an estimated product for this multiplication. The important thing for students to understand is that 24 is not the exact answer for this question, but rather an estimation. The actual answer is less than 24, therefore 24 would be an overestimation in this case. 

Homework: page 94 #1,2,4,5

1. Estimate each product or quotient.

2. William paid 29,85$ for 3 tickets to a tower in Calgary. How much did it cost him for 1 ticket to the tower? Estimate the cost. 

4. Estimate the perimeter of each square given the length of one side. 

5. Estimate the length of one side of a square given the total perimeter of the square. 

 

** One thing to note: In English, decimal numbers use a point (ie. 8.56). However in French, a comma is used for decimal numbers (ie. 8,56)

Currently in math now we are working on plotting and identifying points on a Cartesian plane in the first quadrant only. One point of emphasis is that the first coordinate is always moving to the right, and the second coordinate is always moving up in the quadrant. Here is some terminology translated:

Cartesian plane = Plan cartésien 

Origin = Origine (0,0)

Horizontal axis = L'axe horizontal

Vertical axis = L'axe vertical

Coordinate = Coordonnéé

Ordered pair = Paire ordonnéé  (ex. (3,8)

 

Here is the homework for tonight:

1. Match each ordered pair with the correct letter from the Cartesian plane. 

2. Draw a Cartesian plane and label the axes. Plot the ordered pairs with their letter.

3. Same as question #2

4. Write out the ordered pair for each letter that represents an attraction at the Vancouver aquarium. 

 

 

Posted: November 1, 2018

2. For each table of values, write the expression that relates the numbers in the first column to those in the second column.

ex. 3a + 2 = b

 

3. a) Create a table of values to show the number of squares for the first 4 figures. 

   b) Write the pattern rule that relates the figure number to its number of squares.

   c) Write this pattern rule as an expression.

   d) Draw a diagram showing the number of squares for figure 7. How many squares are there?

 

5. a) Write the pattern rule that relates each number to its amount. 

   b) Write this pattern rule as an expression. 

 

Posted: November 1, 2018

2. For each table of values, write the expression that relates the numbers in the first column to those in the second column.

ex. 3a + 2 = b

 

3. a) Create a table of values to show the number of squares for the first 4 figures. 

   b) Write the pattern rule that relates the figure number to its number of squares.

   c) Write this pattern rule as an expression.

   d) Draw a diagram showing the number of squares for figure 7. How many squares are there?

 

5. a) Write the pattern rule that relates each number to its amount. 

   b) Write this pattern rule as an expression. 

 

Posted: October 24, 2018

2. Find the two step/operation pattern rule for each table of values. After the pattern rule has been figured out, add 4 more numbers to the table in the left column, and the corresponding values in the right column by applying the pattern rule.

4. Find the two step/operation pattern rule for each table of values. Then fill in the missing values in the table that are marked with a question mark. 

5. Find the two step/operation pattern rule for each table of values. Add the number 9 in the left column, and apply the pattern rule to figure out the corresponding value in the right column. Then add the number 28 in the right column and figure out the corresponding value that goes in the left column. 

page 61

3. Which of the following numbers are factors of 80?   2, 3, 4, 5, 6, 8, 9, 10

8. Group these numbers into prime numbers and composite numbers:    59, 93, 97, 87, 73, 45

10. Which numbers from 70 to 80 are prime numbers? 

11. How many dates in September are prime numbers? How many are composite numbers? List them all in each group. 

page 65

1. Using a Venn diagram, show the factors of 18 and 24, and then the common factors of 18 and 24. 

2. List the common factors of each pair of numbers:

    a) 15, 25      b) 16, 40       c) 18, 42        d) 35, 60

3. Find the factors of each number and put them into a "factor rainbow". 

    a) 48           b) 50            c) 78            d) 62

4. List the factors for each number. Group these factors into prime numbers and composite numbers.

    a) 34           b) 40            c) 72            d) 94

5. Make a "factor tree" to find the prime factors of each number.

    a) 64           b) 85            c) 90            d) 76

8. Fill in the "factor trees" with a combination of numbers that works. 

 

I suspect these last 2 questions will be the most challenging, but we have practiced questions like the others a lot in class so the rest should be straight forward. 

 

Posted: October 11, 2018

In math class we are focusing on the following math terms currently: multiples, common multiples, factors, common factors, prime numbers, and composite numbers. Any extra practice at home to help the students get a strong grasp of these concepts would be great. 

As I mentioned on the Facebook page yesterday, practicing skip counting and multiplying help to make questions involving multiples and factors respectively much easier and quicker to solve. 

In French, the terms are: multiples, multiples communs, facteurs, facteurs communs, nombres premiers, nombres composés

Posted: October 9, 2018

1. List the first 10 multiples of each number.

2. List the first 6 multiples of each number.

3. Which of these numbers are multiples of 6?

5. List the first 3 commun multiples of each pair of numbers.

6. List the first 3 commun multiples of each group of numbers. 

7. List all the commun multiples of 8 and 9 up to 100. 

Bonus: #4. Which number has 21, 24, 45, 30, 42, 60, and 84 as multiples? 

a) 3      b) 12       c) 7       d) 15

Posted: October 1, 2018

Currently we have been working on interchanging between standard form (forme symbolique), expanded form (forme dévéloppée), and written form (forme en lettres) with large numbers in the millions (millions), billions (milliards), and trillions (billions). 

**The French terminology is in brackets. 

If you would like to practice with your child at home, here is an example to help: 

Expanded Form (Forme Dévéloppée): 30 000 000 000 + 4 000 000 000 + 900 000 000 + 3 000 000 + 100 000 + 50 000 + 600 + 40 + 8

What is the standard form (forme symbolique) and written form (forme en lettres) of this number?? ^^

Answers:

Standard Form (Forme Symbolique): 34 903 150 648

Written Form (Forme en Lettres): thirty-four billion nine hundred three million one hundred fifty thousand six hundred forty-eight 

(trente-quatre milliards neuf cent trois millions cent cinquante mille six cent quarante-huit)

**Be sure to emphasize how the amount of zeroes in a number in expanded form helps to determine place value in standard form. 

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