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Introduce the concept of variables as a way of representing numbers using letters (ACMNA175)

[/fusion_text][fusion_text]LO: To understand the concept of variables used to represent numbers.

Know:

  • What a variable is.
  • That a variable can be used to replace a number

Understand:

  • That variables can be used to replace a number

Do:

  • I can replace a number with a variable

Essential Questions:

  • What is a variable?
  • How can variables replace numbers?

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

What are variables?

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Variables are “missing values“.
A pronumeral is a letter or symbol that is used in place of a number.

In real life, someone might ask you, something plus 5 makes 10. What is something?

In Numeracy terms, mathematicians are a bit lazy so they want to make it as easy as possible, so they write “x” in place of something, so that it looks more like (x + 5 = 10).

Why do we need to use letters?
-letters are easier to write than something.
-if there are more than 1 missing value, then we can use multiple letters.

In some equations, you might have multiple variables, like I = PRT or E = MC^2 or S = D/T

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Operations with Variables

7x is the same as 7 times x.
x/5 is the same as x divided 5.

[/title][/fullwidth][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=””][fusion_text]

Textbook Questions/Worksheets

[/fusion_text][button link=”http://www.alamandamaths.com/wp-content/uploads/2015/11/Algebra-7-8-worded-problems.pdf” 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=””]Algebra Worded Problems Worksheet[/button][button link=”http://www.alamandamaths.com/wp-content/uploads/2015/11/Algebra-work-it-out.pdf” 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=””]Algebra Work it Out Worksheet[/button][/fullwidth][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=””][fusion_text]

Algebra Links

[/fusion_text][button link=”http://www.alamandamaths.com/wp-content/uploads/2015/11/Algebralinks.pdf” 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=””]Algebra Links[/button][button link=”https://student.desmos.com/” 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=””]Desmos Link[/button][/fullwidth][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=””][fusion_text]

Algebra Videos

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Student Generated Videos

[/fusion_text][youtube id=”https://www.youtube.com/watch?v=SPTa0EUQkb0″ width=”600″ height=”350″ autoplay=”no” api_params=”” class=””][/youtube][youtube id=”https://www.youtube.com/watch?v=Na6ih95pLl8″ width=”600″ height=”350″ autoplay=”no” api_params=”” class=””][/youtube][/fullwidth][imageframe lightbox=”no” lightbox_image=”” style_type=”none” hover_type=”none” bordercolor=”” bordersize=”0px” borderradius=”0″ stylecolor=”” align=”center” link=”http://www.alamandamaths.com/number-and-algebra/patterns-and-algebra/creating-algebraic-expressions/” linktarget=”_self” animation_type=”0″ animation_direction=”down” animation_speed=”0.1″ hide_on_mobile=”no” class=”” id=””] [/imageframe]