Making+Mathematical+Arguments

= Making Mathematical Arguments  =  ==Pre-assessment: ==

=PHASE 1: =   ==Lesson 1: == Smart Lesson for Reproducible 8

Teacher tips:

 * There are lots of skills combined into lesson 1 (adding integers with the same signs, adding integers with different signs, subtracting positive integers, subtracting negative integers). It can be pretty overwhelming to tackle all of these skills in one lesson. It may be helpful to break this lesson into smaller, more manageable pieces.

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 * Vocabulary**:
 * Homework** **Options:** <span style="font-family: 'Comic Sans MS',cursive;">


 * Classwork** **Helpers**:
 * The following **<span style="color: rgb(17, 17, 24);">notes ** may be useful for teaching students how to add signed numbers. The notes show two basic strategies that work well for many students.
 * [[file:L1notes MMA Bivins.doc]]


 * L1a focuses on **adding integers with the same sign**, making predictions on the sign of the answer and showing work (with cube drawings or adding the digits). There are problem pairs that illustrate the commutative property of addition.
 * [[file:L1a MMA Bivins.doc]]


 * L1b focuses on **adding integers with different signs**, making predictions on the sign of the answer and showing work (with cube drawings or subtracting the digits). There are problem pairs that illustrate the commutative property of addition.
 * [[file:L1b MMA Bivins.doc]]


 * L1c focuses on **subtracting integers**, rewriting subtraction problems as addition problems and showing work (with cube drawings or adding/subtracting the digits).
 * [[file:L1c MMA Bivins.doc]]

> Once the students have a basic understanding of integer operations, these are fun to use as a quick drill to get class started. The more difficult drill sheets work well for "rally coach" where students pair up and take turns completing the problems.
 * A variety of "mad minute" style integer drill worksheets can be downloaded from this site: [|Integer Drill Worksheets].

<span style="font-family: 'Comic Sans MS',cursive;">**Project** **Options:** <span style="font-family: 'Comic Sans MS',cursive;">

<span style="font-family: 'Comic Sans MS',cursive;"> ==<span style="display: block; color: rgb(33, 0, 255); font-family: 'Comic Sans MS',cursive; text-align: left;"><span style="color: rgb(33, 0, 255); font-family: 'Comic Sans MS',cursive; background-color: rgb(250, 244, 250);">Lesson 2: ==


 * <span style="font-family: Arial,Helvetica,sans-serif;">The <span style="font-family: Arial,Helvetica,sans-serif;">[|EDC Website] <span style="font-family: Arial,Helvetica,sans-serif;"> has a **Teacher Tips (PDF)** that complements Making Mathematical Arguments. The student worksheets on pages 24-25 of the pdf go well with the activities in lesson 2.

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 * Vocabulary**: signed numbers, integers, equation, combinations


 * Homework** **Options:** <span style="font-family: 'Comic Sans MS',cursive;">

This is a chart to help organize the first activity where students are finding all of the combinations of 5 cubes. This chart helps students organize the activity on page 98. I only made the chart for numbers 1 and 2.
 * Classwork** **Helpers**:

<span style="font-family: 'Comic Sans MS',cursive;">**Project** **Options** <span style="font-family: 'Comic Sans MS',cursive;"> :

==<span style="display: block; color: rgb(33, 0, 255); font-family: 'Comic Sans MS',cursive; text-align: left;"><span style="color: rgb(33, 0, 255); font-family: 'Comic Sans MS',cursive; background-color: rgb(250, 244, 250);">Lesson 3: ==

<span style="font-family: 'Comic Sans MS',cursive;">Things kids need to know:
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==<span style="display: block; color: rgb(33, 0, 255); font-family: 'Comic Sans MS',cursive; text-align: left;"><span style="color: rgb(33, 0, 255); font-family: 'Comic Sans MS',cursive; background-color: rgb(250, 244, 250);">Lesson 4: ==

<span style="font-family: 'Comic Sans MS',cursive;">Things kids need to know:
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==<span style="display: block; color: rgb(33, 0, 255); font-family: 'Comic Sans MS',cursive; text-align: left;"><span style="color: rgb(33, 0, 255); font-family: 'Comic Sans MS',cursive; background-color: rgb(250, 244, 250);">Phase One Quiz: ==

=<span style="font-family: 'Comic Sans MS',cursive;">PHASE 2: = ==<span style="display: block; color: rgb(33, 0, 255); font-family: 'Comic Sans MS',cursive; text-align: left;"><span style="color: rgb(33, 0, 255); font-family: 'Comic Sans MS',cursive; background-color: rgb(250, 244, 250);">Lesson 5: <span style="font-family: 'Comic Sans MS',cursive;"> == <span style="font-family: 'Comic Sans MS',cursive;">

<span style="font-family: 'Comic Sans MS',cursive;">Things kids need to know:
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<span style="font-family: 'Comic Sans MS',cursive;">**Project** **Options:** ==<span style="display: block; color: rgb(33, 0, 255); font-family: 'Comic Sans MS',cursive; text-align: left;"><span style="color: rgb(33, 0, 255); font-family: 'Comic Sans MS',cursive; background-color: rgb(250, 244, 250);"> == ==<span style="display: block; color: rgb(33, 0, 255); font-family: 'Comic Sans MS',cursive; text-align: left;"><span style="color: rgb(33, 0, 255); font-family: 'Comic Sans MS',cursive; background-color: rgb(250, 244, 250);">Lesson 6: <span style="font-family: 'Comic Sans MS',cursive;"> ==

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==<span style="display: block; color: rgb(33, 0, 255); font-family: 'Comic Sans MS',cursive; text-align: left;"><span style="color: rgb(33, 0, 255); font-family: 'Comic Sans MS',cursive; background-color: rgb(250, 244, 250);">Lesson 7: ==

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<span style="font-family: 'Comic Sans MS',cursive;">**Project** **Options:** <span style="font-family: 'Comic Sans MS',cursive;"> ==<span style="display: block; color: rgb(33, 0, 255); font-family: 'Comic Sans MS',cursive; text-align: left;"><span style="color: rgb(33, 0, 255); font-family: 'Comic Sans MS',cursive; background-color: rgb(250, 244, 250);">Lesson 8: ==

<span style="font-family: 'Comic Sans MS',cursive;">Things kids need to know:
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==<span style="display: block; color: rgb(33, 0, 255); font-family: 'Comic Sans MS',cursive; text-align: left;"><span style="color: rgb(33, 0, 255); font-family: 'Comic Sans MS',cursive; background-color: rgb(250, 244, 250);">Phase Two Quiz: ==

=<span style="font-family: 'Comic Sans MS',cursive;">PHASE 3: = ==<span style="display: block; color: rgb(33, 0, 255); font-family: 'Comic Sans MS',cursive; text-align: left;"><span style="color: rgb(33, 0, 255); font-family: 'Comic Sans MS',cursive; background-color: rgb(250, 244, 250);">Lesson 9: <span style="font-family: 'Comic Sans MS',cursive;"> ==

<span style="font-family: 'Comic Sans MS',cursive;">Things kids need to know:
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<span style="font-family: 'Comic Sans MS',cursive;">**Project** **Options:**

==<span style="display: block; color: rgb(33, 0, 255); font-family: 'Comic Sans MS',cursive; text-align: left;"><span style="color: rgb(33, 0, 255); font-family: 'Comic Sans MS',cursive; background-color: rgb(250, 244, 250);">Lesson 10: == <span style="font-family: 'Comic Sans MS',cursive;"> Smart lesson- Bubblegum Factory

<span style="font-family: 'Comic Sans MS',cursive;">Things kids need to know:
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<span style="font-family: 'Comic Sans MS',cursive;">**Project** **Options:** <span style="font-family: 'Comic Sans MS',cursive;">

==<span style="display: block; color: rgb(33, 0, 255); font-family: 'Comic Sans MS',cursive; text-align: left;"><span style="color: rgb(33, 0, 255); font-family: 'Comic Sans MS',cursive; background-color: rgb(250, 244, 250);">Lesson 11: == Smart Lesson (this is a skeleton, but its a start)

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<span style="font-family: 'Comic Sans MS',cursive;">Things kids need to know:
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 * Vocabulary**:


 * Homework** **Options:** <span style="font-family: 'Comic Sans MS',cursive;">


 * Classwork** **Helpers**:

<span style="font-family: 'Comic Sans MS',cursive;">**Project** **Options:** <span style="font-family: 'Comic Sans MS',cursive;"> ==<span style="display: block; color: rgb(33, 0, 255); font-family: 'Comic Sans MS',cursive; text-align: left;"><span style="color: rgb(33, 0, 255); font-family: 'Comic Sans MS',cursive; background-color: rgb(250, 244, 250);">Lesson 12: ==

<span style="font-family: 'Comic Sans MS',cursive;">Things kids need to know:
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 * Classwork** **Helpers**:

<span style="font-family: 'Comic Sans MS',cursive;">**Project** **Options:**

==<span style="display: block; color: rgb(33, 0, 255); font-family: 'Comic Sans MS',cursive; text-align: left;"><span style="color: rgb(33, 0, 255); font-family: 'Comic Sans MS',cursive; background-color: rgb(250, 244, 250);">Phase Three Quiz: ==

==<span style="display: block; color: rgb(33, 0, 255); font-family: 'Comic Sans MS',cursive; text-align: left;"><span style="color: rgb(33, 0, 255); font-family: 'Comic Sans MS',cursive; background-color: rgb(250, 244, 250);">Post Assessment: ==