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Apply the associative, commutative and distributive laws to aid mental and written computation (ACMNA151)

[/fusion_text][fusion_text]LO: To apply the associative, commutative and distributive laws.

Know:

the place value of numbers
how to add numbers
how to multiply and divide numbers
the order of operations

Understand:

that the associative, commutative and distributive laws can aid mental computation.

Do:

I can use the associative, commutative and distributive laws.

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Examples (Visual Representations)

[/title][/one_full][one_full last=”yes” spacing=”yes” center_content=”yes” hide_on_mobile=”no” background_color=”” background_image=”” background_repeat=”no-repeat” background_position=”left top” border_position=”all” border_size=”0px” border_color=”” border_style=”solid” padding=”” margin_top=”” margin_bottom=”” animation_type=”0″ animation_direction=”down” animation_speed=”0.1″ class=”” id=””][imageframe lightbox=”no” lightbox_image=”” style_type=”none” hover_type=”none” bordercolor=”” bordersize=”0px” borderradius=”0″ stylecolor=”” align=”none” link=”” linktarget=”_self” animation_type=”0″ animation_direction=”down” animation_speed=”0.1″ hide_on_mobile=”no” class=”” id=””] [/imageframe][fusion_text]Associative Law[/fusion_text][/one_full][section_separator divider_candy=”” icon=”” icon_color=”” bordersize=”1px” bordercolor=”” backgroundcolor=”” class=”” id=””][one_full last=”yes” spacing=”yes” center_content=”yes” hide_on_mobile=”no” background_color=”” background_image=”” background_repeat=”no-repeat” background_position=”left top” border_position=”all” border_size=”0px” border_color=”” border_style=”solid” padding=”” margin_top=”” margin_bottom=”” animation_type=”0″ animation_direction=”down” animation_speed=”0.1″ class=”” id=””][imageframe lightbox=”no” lightbox_image=”” style_type=”none” hover_type=”none” bordercolor=”” bordersize=”0px” borderradius=”0″ stylecolor=”” align=”none” link=”” linktarget=”_self” animation_type=”0″ animation_direction=”down” animation_speed=”0.1″ hide_on_mobile=”no” class=”” id=””] [/imageframe][fusion_text]Communitive Law[/fusion_text][/one_full][section_separator divider_candy=”” icon=”” icon_color=”” bordersize=”1px” bordercolor=”” backgroundcolor=”” class=”” id=””][one_full last=”yes” spacing=”yes” center_content=”no” hide_on_mobile=”no” background_color=”” background_image=”” background_repeat=”no-repeat” background_position=”left top” border_position=”all” border_size=”0px” border_color=”” border_style=”” padding=”” margin_top=”” margin_bottom=”” animation_type=”” animation_direction=”” animation_speed=”0.1″ class=”” id=””][title size=”1″ content_align=”left” style_type=”default” sep_color=”” margin_top=”” margin_bottom=”” class=”” id=””]

Notes

Commutative Law

When adding or multiplying numbers, the order of the numbers does not matter.

A + B = B + A
A x B = B x A

For example, 2 x 4 will give you the exact same result as 4 x 2.

Same with 6 + 3 will result in the same as 3 + 6.

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Associative Law

When adding or multiplying numbers in brackets, the order of the numbers does not matter.

(A + B) + C = A + (B + C)
(A x B) x C = A x (B x C)

For example, (3 + 2) + 4 = 3 + (2 + 4)

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Distributive Law

Is used for the expansion of brackets.

In this case on the left, you have 3 rows of 2 blues, you also have 3 rows of 4 yellows.

So if you add 3 x 2 and 3 x 4 = you would get 18 squares which is the same as 3 x 6.

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Associative, Commutative and Distributive Law Videos

[/title][/one_full][one_full last=”yes” spacing=”yes” center_content=”no” hide_on_mobile=”no” background_color=”” background_image=”” background_repeat=”no-repeat” background_position=”left top” border_position=”all” border_size=”0px” border_color=”” border_style=”” padding=”” margin_top=”” margin_bottom=”” animation_type=”” animation_direction=”” animation_speed=”0.1″ class=”” id=””][youtube id=”x9hoPIMNPw4″ width=”600″ height=”350″ autoplay=”no” api_params=”” class=””][/youtube][/one_full][section_separator divider_candy=”” icon=”” icon_color=”” bordersize=”1px” bordercolor=”” backgroundcolor=”” class=”” id=””][one_full last=”yes” spacing=”yes” center_content=”no” hide_on_mobile=”no” background_color=”” background_image=”” background_repeat=”no-repeat” background_position=”left top” border_position=”all” border_size=”0px” border_color=”” border_style=”” padding=”” margin_top=”” margin_bottom=”” animation_type=”” animation_direction=”” animation_speed=”0.1″ class=”” id=””][youtube id=”4bUHWQBrmy0″ width=”600″ height=”350″ autoplay=”no” api_params=”” class=””][/youtube][/one_full][title size=”1″ content_align=”left” style_type=”default” sep_color=”” margin_top=”” margin_bottom=”” class=”” id=””]

Student Generated Videos

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Practice Questions

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Pearson 7:

Pg. 5 Exercise 1.1 Q1C4,2C4,3C4,4,6,8,9, 11. Extension: 13

My Maths 7

Pg. 43 Q. 7 – 14

[/fusion_text][/one_full][fullwidth background_color=”” background_image=”” background_parallax=”none” enable_mobile=”no” parallax_speed=”0.3″ background_repeat=”no-repeat” background_position=”left top” video_url=”” video_aspect_ratio=”16:9″ video_webm=”” video_mp4=”” video_ogv=”” video_preview_image=”” overlay_color=”” overlay_opacity=”0.5″ video_mute=”yes” video_loop=”yes” fade=”no” border_size=”0px” border_color=”” border_style=”” padding_top=”20″ padding_bottom=”20″ padding_left=”0″ padding_right=”0″ hundred_percent=”no” equal_height_columns=”no” hide_on_mobile=”no” menu_anchor=”” class=”” id=””][button link=”http://www.alamandamaths.com/number-and-algebra/number-an-place-value/perfect-squares-and-square-roots/” color=”default” size=”” type=”” shape=”” target=”_self” title=”” gradient_colors=”|” gradient_hover_colors=”|” accent_color=”” accent_hover_color=”” bevel_color=”” border_width=”1px” icon=”” icon_position=”left” icon_divider=”no” modal=”” animation_type=”0″ animation_direction=”left” animation_speed=”1″ alignment=”” class=”” id=””]Next Lesson (Perfect Squares)[/button][/fullwidth]