Tony!

Math

On Thursday we talked about family of facts. Each multiplication sentence has three other sentences that use the identical numbers. Squares only have two numbers in their families.

For example:  6, 7, 42

6 x 7 = 42

7 x 6 = 42

42 ÷ 6 = 7

42 ÷ 7 = 6

Grade 4

Ms. Burchat also talked to the grade fours about how to use known facts to find the product of unknown multiplication facts.

For example: How would you use 8 x 5 = 40 to find 8 x 6?

You know 8 x 5 =40 is 5 groups of 8. 8 x 6 is just 6 groups of 8. Add another group of 8 to get the product of 8 x 6. 

40 + 8 = 48 so 8 x 6 = 48

How would you use 9 x 10 = 90 to get 9 x 9?

9 x 10 is 10 groups of 9 and 9 x 9 is 9 groups of 9. So you just need to subtract one group of 9.

9 x 9 = 90 - 9 = 81

How would you use 4 x 4 = 16 to get 4 x 8?

8 groups of 4 is just double 4 groups of 4 so 4 x 8 = 16 x 2 (double) = 32

How would you use 8 x 8 = 64 to get 4 x 16?

If you look at the factors you are halving one factor and doubling the other. The end result is the same product 8 x 8 = 4 x 16 = 64

Using reasoning skills and proportion allows you to do many multiplication facts mentally.

Extra Practice:

https://mathup.ca/Games/Grade4/XMarkstheSpot

Grade 5

We began our discussion of 2-digit multiplication. To do this, we used our knowledge of the area of rectangles. We know that we can express multiplication as an array. If we push our array tiles close together, we have area. We arranged hundreds blocks to show multiplication by tens.

For example the pattern blocks below show 30 x 60

You could just count the flats of 100 and get 18 hundreds or 1800.

You could see that you have 3 rows of 600 which is 1800.

There are many ways to find the answer without using base ten blocks because of a very important property of multiplication. You can multiply factors in any order and decompose numbers to multiply them.

https://www.khanacademy.org/math/pre-algebra/pre-algebra-arith-prop/pre-algebra-arithmetic-properties/v/associate-property-of-multiplication

30 x 60 = 3 x 10 x 6 x 10 = 18 x 100 = 1800

For a shortcut, we use the related fact and add the zeros. But that is why that shortcut works.

Try these:

50 x 80 (5 rows of 8 hundred)

40 x 70 (4 rows of 7 hundred)

30 x 90

70 x 60

For both grades knowledge of your MULTIPLICATION FACTS is crucial. You will struggle if you don't know your facts.

On Monday we will look at 2-digit multiplication with factors that are not multiples of 10 using the same strategy.

Extra Practice:

http://math5.nelson.com/quizzes/math5quizzes/gr5_ch6_les1.htm

Science

Please review the respiratory and circulatory systems. Make sure you can follow each around from beginning to end. Each is a like a loop that is repeated over and over. You will have until Wednesday to complete the questions that are part of your lung model. You cannot use your duotang. You must be able to describe what happens when you inhale and exhale and relate it to how your model works. Important words include:

air, nose, trachea, bronchi, bronchioles, alveoli, capillaries, oxygen, carbon dioxide, inhale, exhale.

What happens to the air when it enters the nose and moves down the nasal passage?

What is the function of your respiratory system?

How do your respiratory and circulatory systems worked together? Can you explain what is going on in the diagram below?

Literacy

What do you know about Afghanistan? Where is it? What has been going on there for quite some time?