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Investigate index notation and represent whole numbers as products of powers of prime numbers (ACMNA149)

[/fusion_text][fusion_text]LO: To investigate index notation and represent whole numbers using the powers of prime numbers

Know:

• What factors and multiples are
• Multiplication facts 10 x 10

Understand:

• That numbers can be broken down to their prime numbers

Do:

• I can break numbers down to their prime factorization.

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Prime Factorization Example

[/title][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=”center” link=”” linktarget=”_self” animation_type=”0″ animation_direction=”down” animation_speed=”0.1″ hide_on_mobile=”no” class=”” id=””] [/imageframe][/one_full][separator style_type=”none” top_margin=”” bottom_margin=”” sep_color=”” border_size=”” icon=”” icon_circle=”” icon_circle_color=”” width=”” alignment=”” 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=”center” link=”” linktarget=”_self” animation_type=”0″ animation_direction=”down” animation_speed=”0.1″ hide_on_mobile=”no” class=”” id=””] [/imageframe][/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:

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Remember prime numbers are numbers which only have 2 factors for example, 17 can only be made by 1 x 17, which makes 17 a prime number.

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For example, in the first step of the picture above, 60 can be broken down into 6 x 10 or 2 x 30. In the end, the answer still ends up with 2 x 2 x 3 x 5, so whatever numbers you use to break down prime factorization, it doesn’t matter! This is because of the communitive property.

[/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=””]Prime Factorization 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=”qGkK8xkWs6U” width=”600″ height=”350″ autoplay=”no” api_params=”” class=””][/youtube][/one_full][separator style_type=”none” top_margin=”” bottom_margin=”” sep_color=”” border_size=”” icon=”” icon_circle=”” icon_circle_color=”” width=”” alignment=”” 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=”XGbOiYhHY2c” 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=””]

Practice Questions

[/title][title size=”1″ content_align=”left” style_type=”default” sep_color=”” margin_top=”” margin_bottom=”” class=”” id=””]My Maths 8

pg. 47 Exercise 1H Q. 1-2

pg. 53 Exercise 1I Q. 5, 7, 9-11, 13-15, 20-21[/title][button link=”http://www.alamandamaths.com/number-and-algebra/number-and-place-value/index-laws/” 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 – Index Laws[/button]