{"id":814,"date":"2016-06-27T09:44:02","date_gmt":"2016-06-27T15:44:02","guid":{"rendered":"http:\/\/srcturnkey.com\/teachers\/?page_id=814"},"modified":"2017-08-14T11:28:34","modified_gmt":"2017-08-14T17:28:34","slug":"ns-1-1","status":"publish","type":"page","link":"https:\/\/srcturnkey.com\/teachers\/math\/8th-grade\/ns-1-1\/","title":{"rendered":"NS.1.1"},"content":{"rendered":"

[vc_row][vc_column][vc_column_text]<\/p>\n

Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.<\/h3>\n

[\/vc_column_text][vc_single_image image=”2664″ img_size=”full”][\/vc_column][\/vc_row][vc_row toggle_enable=”true” toggle_stretch=”true” toggle_font_preset=”default” toggle_font_color=”#333333″ toggle_font_size=”24″ toggle_font_line_height=”2″ toggle_font_transform=”capitalize” toggle_font_align=”left” toggle_title=”Formative Assessments” toggle_background_color=”#8dc53e” toggle_border_css=”border-color:#333333;border-style:solid;” toggle_margin_divider=”true” toggle_margin_css=”margin-bottom:5px;” toggle_icon=”fa fa-file-text” toggle_icon_position=”button-left” toggle_icon_border_css=”border-width:0px;” toggle_icon_padding_css=”padding:5px;” toggle_icon_margin_css=”margin:5px;” hover_toggle_font_color=”#ffffff” hover_toggle_font_size=”24″ hover_toggle_font_align=”left” hover_toggle_title=”Formative Assessments” hover_toggle_icon=”fa fa-file-text” hover_toggle_icon_color=”#ffffff” hover_toggle_icon_position=”button-left”][vc_column width=”1\/3″]

\"Assessment
CPALMS: Students are given several terminating and repeating decimals and asked to convert them to fractions.<\/i><\/a><\/div><\/div><\/div><\/div><\/div>[vc_column_text css=”.vc_custom_1491935854106{margin-top: 0px !important;border-top-width: 0px !important;padding-top: 0px !important;padding-left: 10px !important;background-color: #8dc53e !important;}”]Decimal to Fraction Conversion[\/vc_column_text][\/vc_column][vc_column width=”1\/3″]
\"Assessment
CPALMS: Students are given a fraction to convert to a decimal and are asked to determine if the decimal repeats.<\/i><\/a><\/div><\/div><\/div><\/div><\/div>[vc_column_text css=”.vc_custom_1491935867070{margin-top: 0px !important;border-top-width: 0px !important;padding-top: 0px !important;padding-left: 10px !important;background-color: #8dc53e !important;}”]Fraction to Decimal Conversion[\/vc_column_text][\/vc_column][vc_column width=”1\/3″]
\"Assessment
CPALMS: Students are asked to identify rational numbers from a list of real numbers, explain how to identify rational numbers, and to identify the number system that contains numbers that are not rational.<\/i><\/a><\/div><\/div><\/div><\/div><\/div>[vc_column_text css=”.vc_custom_1491935877219{margin-top: 0px !important;border-top-width: 0px !important;padding-top: 0px !important;padding-left: 10px !important;background-color: #8dc53e !important;}”]Rational Numbers[\/vc_column_text][\/vc_column][\/vc_row][vc_row toggle_enable=”true” toggle_stretch=”true” toggle_font_preset=”default” toggle_font_color=”#333333″ toggle_font_size=”24″ toggle_font_line_height=”2″ toggle_font_transform=”capitalize” toggle_font_align=”left” toggle_title=”Virtual\/Hands-on Manipulatives” toggle_background_color=”#8dc53e” toggle_border_divider=”true” toggle_border_css=”border-top:0px;border-right:0px;border-bottom:0px;border-left:0px;border-color:#333333;border-style:solid;” toggle_padding_divider=”true” toggle_margin_divider=”true” toggle_margin_css=”margin-top:0px;margin-right:0px;margin-bottom:5px;margin-left:0px;” toggle_icon=”mi mi-pan_tool” toggle_icon_color=”#333333″ toggle_icon_position=”button-left” toggle_icon_border_divider=”true” toggle_icon_border_css=”border-top:0px;border-right:0px;border-bottom:0px;border-left:0px;” toggle_icon_padding_divider=”true” toggle_icon_padding_css=”padding-top:5px;padding-right:5px;padding-bottom:5px;padding-left:5px;” toggle_icon_margin_divider=”true” toggle_icon_margin_css=”margin-top:5px;margin-right:5px;margin-bottom:5px;margin-left:5px;” hover_toggle_font_color=”#ffffff” hover_toggle_font_size=”24″ hover_toggle_font_align=”left” hover_toggle_title=”Virtual\/Hands-on Manipulatives” hover_toggle_border_divider=”true” hover_toggle_border_css=”border-top:0px;border-right:0px;border-bottom:0px;border-left:0px;” hover_toggle_icon=”mi mi-pan_tool” hover_toggle_icon_color=”#ffffff” hover_toggle_icon_position=”button-left” hover_toggle_icon_border_divider=”true” hover_toggle_icon_border_css=”border-top:0px;border-right:0px;border-bottom:0px;border-left:0px;”][vc_column width=”1\/3″]
\"Content
We're currently looking for great content to go here!<\/i><\/a><\/div><\/div><\/div><\/div><\/div>[vc_column_text css=”.vc_custom_1461771776012{margin-top: 0px !important;border-top-width: 0px !important;padding-top: 0px !important;padding-left: 10px !important;background-color: #8dc53e !important;}”]<\/p>\n
Change Me\u00a0To Real Text<\/strong><\/h5>\n

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\"Content
We're currently looking for great content to go here!<\/i><\/a><\/div><\/div><\/div><\/div><\/div>[vc_column_text css=”.vc_custom_1461771776012{margin-top: 0px !important;border-top-width: 0px !important;padding-top: 0px !important;padding-left: 10px !important;background-color: #8dc53e !important;}”]<\/p>\n
Change Me\u00a0To Real Text<\/strong><\/h5>\n

[\/vc_column_text][\/vc_column][vc_column width=”1\/3″]

\"Content
We're currently looking for great content to go here!<\/i><\/a><\/div><\/div><\/div><\/div><\/div>[vc_column_text css=”.vc_custom_1461771776012{margin-top: 0px !important;border-top-width: 0px !important;padding-top: 0px !important;padding-left: 10px !important;background-color: #8dc53e !important;}”]<\/p>\n
Change Me\u00a0To Real Text<\/strong><\/h5>\n

[\/vc_column_text][\/vc_column][\/vc_row][vc_row toggle_enable=”true” toggle_stretch=”true” toggle_font_preset=”default” toggle_font_color=”#333333″ toggle_font_size=”24″ toggle_font_line_height=”1.8″ toggle_font_transform=”capitalize” toggle_font_align=”left” toggle_title=”Assessment Questions” toggle_background_color=”#8dc53e” toggle_border_css=”border-color:#333333;border-style:solid;” toggle_padding_divider=”true” toggle_margin_divider=”true” toggle_margin_css=”margin-bottom:5px;” toggle_icon=”fa fa-question” toggle_icon_color=”#333333″ toggle_icon_position=”button-left” toggle_icon_padding_css=”padding:5px;” toggle_icon_margin_css=”margin:5px;” hover_toggle_font_color=”#ffffff” hover_toggle_font_size=”24″ hover_toggle_font_align=”left” hover_toggle_title=”Assessment Questions” hover_toggle_icon=”fa fa-question” hover_toggle_icon_color=”#ffffff” hover_toggle_icon_position=”button-left”][vc_column width=”1\/3″]

\"Assessments
Click on this text to download this document.<\/i><\/a><\/div><\/div><\/div><\/div><\/div>[vc_column_text css=”.vc_custom_1471535060800{margin-top: 0px !important;border-top-width: 0px !important;padding-top: 0px !important;padding-left: 10px !important;background-color: #8dc53e !important;}”]<\/p>\n
Equation Editor<\/strong><\/h5>\n

[\/vc_column_text]

\"Assessments
Click on this text to download this document.<\/i><\/a><\/div><\/div><\/div><\/div><\/div>[vc_column_text css=”.vc_custom_1471535109648{margin-top: 0px !important;border-top-width: 0px !important;padding-top: 0px !important;padding-left: 10px !important;background-color: #8dc53e !important;}”]<\/p>\n
Multi-Select<\/strong><\/h5>\n

[\/vc_column_text][\/vc_column][vc_column width=”1\/3″]

\"Assessments
Click on this text to download this document.<\/i><\/a><\/div><\/div><\/div><\/div><\/div>[vc_column_text css=”.vc_custom_1471535069628{margin-top: 0px !important;border-top-width: 0px !important;padding-top: 0px !important;padding-left: 10px !important;background-color: #8dc53e !important;}”]<\/p>\n
Multiple Choice<\/strong><\/h5>\n

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\"Assessments
Click on this text to download this document.<\/i><\/a><\/div><\/div><\/div><\/div><\/div>[vc_column_text css=”.vc_custom_1471535118634{margin-top: 0px !important;border-top-width: 0px !important;padding-top: 0px !important;padding-left: 10px !important;background-color: #8dc53e !important;}”]<\/p>\n
Open Response<\/strong><\/h5>\n

[\/vc_column_text][\/vc_column][vc_column width=”1\/3″]

\"Assessments
Click on this text to download this document.<\/i><\/a><\/div><\/div><\/div><\/div><\/div>[vc_column_text css=”.vc_custom_1471535092038{margin-top: 0px !important;border-top-width: 0px !important;padding-top: 0px !important;padding-left: 10px !important;background-color: #8dc53e !important;}”]<\/p>\n
Matching Item<\/strong><\/h5>\n

[\/vc_column_text][\/vc_column][\/vc_row][vc_row toggle_enable=”true” toggle_stretch=”true” toggle_font_preset=”default” toggle_font_color=”#333333″ toggle_font_size=”24″ toggle_font_line_height=”1.8″ toggle_font_transform=”capitalize” toggle_font_align=”left” toggle_title=”Videos of Expert Instruction” toggle_background_color=”#8dc53e” toggle_border_css=”border-color:#333333;border-style:solid;” toggle_padding_divider=”true” toggle_margin_divider=”true” toggle_margin_css=”margin-bottom:5px;” toggle_icon=”fa fa-video-camera” toggle_icon_color=”#333333″ toggle_icon_position=”button-left” toggle_icon_padding_css=”padding:5px;” toggle_icon_margin_css=”margin:5px;” hover_toggle_font_color=”#ffffff” hover_toggle_font_size=”24″ hover_toggle_font_align=”left” hover_toggle_title=”Videos of Expert Instruction” hover_toggle_icon=”fa fa-video-camera” hover_toggle_icon_color=”#ffffff” hover_toggle_icon_position=”button-left”][vc_column width=”1\/3″]

\"Decorative
Although the Greeks initially thought all numeric quantities could be represented by the ratio of two integers, i.e. rational numbers, we now know that not all numbers are rational. How do we know this?<\/i><\/a><\/div><\/div><\/div><\/div><\/div>[vc_column_text css=”.vc_custom_1499703902930{margin-top: 0px !important;border-top-width: 0px !important;padding-top: 0px !important;padding-left: 10px !important;background-color: #8dc53e !important;}”]<\/p>\n
Irrational Numbers<\/h5>\n

[\/vc_column_text][\/vc_column][vc_column width=”1\/3″][vc_video link=”https:\/\/player.vimeo.com\/video\/166250310″ css=”.vc_custom_1462991847514{margin-bottom: 0px !important;border-bottom-width: 0px !important;padding-bottom: 0px !important;}”][vc_column_text css=”.vc_custom_1461772043672{margin-top: 0px !important;border-top-width: 0px !important;padding-top: 0px !important;padding-left: 10px !important;background-color: #8dc53e !important;}”]<\/p>\n

Use Real Link and Title<\/strong><\/h5>\n

[\/vc_column_text][\/vc_column][vc_column width=”1\/3″][vc_video link=”https:\/\/player.vimeo.com\/video\/166250310″ css=”.vc_custom_1462991847514{margin-bottom: 0px !important;border-bottom-width: 0px !important;padding-bottom: 0px !important;}”][vc_column_text css=”.vc_custom_1461772043672{margin-top: 0px !important;border-top-width: 0px !important;padding-top: 0px !important;padding-left: 10px !important;background-color: #8dc53e !important;}”]<\/p>\n

Use Real Link and Title<\/strong><\/h5>\n

[\/vc_column_text][\/vc_column][\/vc_row][vc_row toggle_enable=”true” toggle_stretch=”true” toggle_font_preset=”default” toggle_font_color=”#333333″ toggle_font_size=”24″ toggle_font_line_height=”1.8″ toggle_font_transform=”capitalize” toggle_font_align=”left” toggle_title=”Hook\/Performance Tasks” toggle_background_color=”#8dc53e” toggle_border_css=”border-color:#333333;border-style:solid;” toggle_padding_divider=”true” toggle_margin_divider=”true” toggle_margin_css=”margin-bottom:5px;” toggle_icon=”fa fa-leanpub” toggle_icon_color=”#333333″ toggle_icon_position=”button-left” toggle_icon_padding_css=”padding:5px;” toggle_icon_margin_css=”margin:5px;” hover_toggle_font_color=”#ffffff” hover_toggle_font_size=”24″ hover_toggle_font_align=”left” hover_toggle_title=”Hook\/Performance Tasks” hover_toggle_icon=”fa fa-leanpub” hover_toggle_icon_color=”#ffffff” hover_toggle_icon_position=”button-left”][vc_column width=”1\/3″]

\"Achievement
Illustrative Mathematics: Students are give three rational numbers and asked to represent each in fraction form.<\/i><\/a><\/div><\/div><\/div><\/div><\/div>[vc_column_text css=”.vc_custom_1493828427085{margin-top: 0px !important;border-top-width: 0px !important;padding-top: 0px !important;padding-left: 10px !important;background-color: #8dc53e !important;}”]Converting Decimal Representations of Rational Numbers to Fraction Representations[\/vc_column_text]
\"Achievement
Illustrative Mathematics: The purpose of this task is to understand, in some concrete cases, why terminating decimal numbers can also be written as repeating decimals where the repeating part is all 9's.<\/i><\/a><\/div><\/div><\/div><\/div><\/div>[vc_column_text css=”.vc_custom_1493828468794{margin-top: 0px !important;border-top-width: 0px !important;padding-top: 0px !important;padding-left: 10px !important;background-color: #8dc53e !important;}”]Repeating or Terminating?[\/vc_column_text][\/vc_column][vc_column width=”1\/3″]
\"Achievement
Illustrative Mathematics: The purpose of this task is to study some concrete examples of repeating decimals and find a way to convert them to fractions.<\/i><\/a><\/div><\/div><\/div><\/div><\/div>[vc_column_text css=”.vc_custom_1493828443095{margin-top: 0px !important;border-top-width: 0px !important;padding-top: 0px !important;padding-left: 10px !important;background-color: #8dc53e !important;}”]Converting Repeating Decimals to Fractions[\/vc_column_text][\/vc_column][vc_column width=”1\/3″]
\"Achievement
Illustrative Mathematics: Students are to decide whether each of the given numbers is rational or irrational and explain how they know. It assumes that students are able to express a given repeating decimal as a fraction. <\/i><\/a><\/div><\/div><\/div><\/div><\/div>[vc_column_text css=”.vc_custom_1493828457715{margin-top: 0px !important;border-top-width: 0px !important;padding-top: 0px !important;padding-left: 10px !important;background-color: #8dc53e !important;}”]Identifying Rational Numbers[\/vc_column_text][\/vc_column][\/vc_row]<\/p>\n","protected":false},"excerpt":{"rendered":"

[vc_row][vc_column][vc_column_text] Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number. [\/vc_column_text][vc_single_image image=”2664″ img_size=”full”][\/vc_column][\/vc_row][vc_row toggle_enable=”true” toggle_stretch=”true” toggle_font_preset=”default” toggle_font_color=”#333333″ toggle_font_size=”24″ toggle_font_line_height=”2″ toggle_font_transform=”capitalize” toggle_font_align=”left” toggle_title=”Formative Assessments”<\/p>\n","protected":false},"author":19,"featured_media":0,"parent":108,"menu_order":25,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"_links":{"self":[{"href":"https:\/\/srcturnkey.com\/teachers\/wp-json\/wp\/v2\/pages\/814"}],"collection":[{"href":"https:\/\/srcturnkey.com\/teachers\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/srcturnkey.com\/teachers\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/srcturnkey.com\/teachers\/wp-json\/wp\/v2\/users\/19"}],"replies":[{"embeddable":true,"href":"https:\/\/srcturnkey.com\/teachers\/wp-json\/wp\/v2\/comments?post=814"}],"version-history":[{"count":0,"href":"https:\/\/srcturnkey.com\/teachers\/wp-json\/wp\/v2\/pages\/814\/revisions"}],"up":[{"embeddable":true,"href":"https:\/\/srcturnkey.com\/teachers\/wp-json\/wp\/v2\/pages\/108"}],"wp:attachment":[{"href":"https:\/\/srcturnkey.com\/teachers\/wp-json\/wp\/v2\/media?parent=814"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}