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2-D to 3-D Paper Folding

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2-D to 3-D Paper Folding

Activity that can be used either as an introduction to the unit or can be used later in the unit to informally assess student thinking.

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Activity Sequence for Unit 0
Resource:
Activity Sequence for Unit 0

This is my activity sequence from Unit 0.  I've "borrowed" heavily from:
Constance Bowen (a2i Teacher)
Jo Boaler (See https://www.youcubed.org/)
a2i (for Mindset and Instructional Activities)

A Midpoint Miracle

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A Midpoint Miracle

This classroom task gives students the opportunity to prove a surprising fact about quadrilaterals: that if we join the midpoints of an arbitrary quadrilateral to form a new quadrilateral, then the new quadrilateral is a parallelogram, even if the original quadrilateral was not.

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Angle Bisector and Perpendicular at a Point

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Angle Bisector and Perpendicular at a Point

The last construction lesson in the series is for the Angle Bisector.  I struggled with the scaffold to get students to make the first arc on the page.  After they made the arc, the rest of the page was achievable by all.  I was especially impressed with how easy it was to transition from the first construction to the second for students.

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Apple Mothership

Resource:
Apple Mothership

This resource is a Dan Meyer's 3 Acts. The information about the Apple Mothership is provided to elicit student curiousity around how many people per square foot can fit in the space. Students will request information they need to apply volume, density and proportional reasoning in order to answer the questions that are generated. 

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Big Nickel (3 Acts)

Resource:
Big Nickel (3 Acts)

Students generate questions based on a short clip of a giant nickel monument. They are given the opportunity to ask for information they would need in order to answer the question of interest generated by the group. This is something that can be used to connect back to Right Triangle Trigonometry. This activity follows the structure of Dan Meyer's Three Acts.

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Building Inverse and Composition Functions for temperature conversions

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Building Inverse and Composition Functions for temperature conversions

Interpreting functions conversion from Celsius to Fahrenheit and Kelvin to Celsius. Then create functions converting Kelvin to Celsius and it's inverse as well as explain what variables represent.
Note the wording might be easier for students to understand if "conversion" or "convert" were used. It might be useful to mention that the USA uses Fahrenheit, but most other countries use Celsius, and scientists use Kelvins.

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Car Caravan

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Car Caravan

This Dan Meyer's 3 Acts lesson elicits student curiosity around how many toy cars are in the given image. Students generate the information they will need in order to answer this question based on the ideas that students have for answering this question.

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Changing Parameters

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Changing Parameters

This interactive graph from Desmos allows you (or a student) to change the parameters of a sine function to determine how those parameters impact the equation itself. One way to use this is to have a pair of students come up to the front of the room to work on determining which parameter does what, while other students watch the changing parameters and attempt to come up with their own conclusions.

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Classifying Triangles based on angle measures

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Classifying Triangles based on angle measures

Students solve for missing interior angles in triangles.  Triangles are on individual cards.  Students determine appropriate "angle" and "side" terms (acute, obtuse, right, scalene, isosceles, equilateral) and place the triangle cards into the table.  Opportunity to address why certain descriptions are impossible (such as an equilateral right triangle) and why it's impossible to have a triangle with more than 1 obtuse angle.

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Comparing decimal exponent to integer exponents to verify calculation

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Comparing decimal exponent to integer exponents to verify calculation

Can entail discussion about the equivalence of radicals and exponents.

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Construction Puzzles

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Construction Puzzles

Nico Disseldorp has this great blog sciencevsmagic.net and on it he has posted a series of 40 challenging construction puzzles inspired by the ancient Greeks that you or your kids can play with online. David did all of these in the Fall of 2014 and couldn't get enough. More of a game than a lesson, but maybe a fun thing for you to use to inspire and invigorate you as you teach this year!