Alg+1+-+Unit+2


 * ===**Common Core Standard(s)**===


 * //A-REI.1//**. Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.

//**N-Q.1**// Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; **(FOCUS ON THIS PORTION OF THE STANDARD HERE)**

//**A-REI.3**. Solve linear equations/inequalities in one variable, including equations with coefficients represented by letters.//


 * //A-CED.4.//** Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. //For example, rearrange Ohm’s law V = IR to highlight resistance R.//

//**G-GMD.3.**// Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.★(Formulas will be given) || ===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍===

**Mathematical Practice(s)**

 * 1. Makes sense of problems and perseveres in solving them.**
 * 2. Reason abstractly and quantitatively.**
 * 3. Construct viable arguments and critique the reasoning of others.**
 * 4. Model with mathematics**
 * 5. Use appropriately tools strategically**
 * 6. Attend to precision**
 * 7. Look for and make use of structure**
 * 8. Look for and express regularity in repeated reasoning.** ||
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**Information Technology Standard**
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**Revised Bloom's Level of thinking**
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 * Remembering**
 * Understanding**
 * Applying**
 * Analyzing (see writing activity in enrichment tab)**
 * Evaluating**
 * Creating (see Activity to support unit 2 in instructional resources tab)** ||

**Learning Target/Task Analysis**

 * Linking prior knowledge: In middle school, students should have solved linear equations/inequalities in one variable. All of this unit should be linked to this. When working with G-GMD.3, this should be linked to Unit 1 where students used expressions to represent the volume of cylinders, pyramids, cones and spheres to solve problems. Review of vocabulary covered in unit 1.**

**I can...**

 * A-REI.1 I can solve and justify linear equations of one variable.**


 * N-Q.1 I can solve equations converting one unit of measurement to a different unit of measurement.**


 * A-REI.3 I can solve linear inequalities in one variable.**
 * I can solve equations with coefficients represented by letters.**


 * A-CED.4 I can solve equations with only variables.**

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 * G-GMD.3 I can use volume formulas for cylinders, pyramids, cones and spheres to solve problems. (Formulas should be given to students.)**

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**Sample Assessments**

 * Mini cumulative quizzes focused on student needs**
 * Thumbs up/thumbs down/thumbs sides ways formative assessment**
 * Exit tickets**
 * Mini projects**
 * Weekly cumulative tests**

**Differentiation**
http://nlvm.usu.edu/en/nav/category_g_4_t_2.html
 * Balance scales for solving equations:**

**Intervention:**
http://www.khanacademy.org/math/algebra/solving-linear-equations/v/solving-equations-1
 * Video explaining solving two step linear equations:**

http://www.khanacademy.org/math/algebra/solving-linear-inequalities/v/solving-inequalities
 * Video explaining solving two step linear inequalities:**

http://www.khanacademy.org/math/algebra/solving-linear-equations/v/solving-equations-2
 * Video explaining solving multi-step linear equations:**

http://www.khanacademy.org/math/algebra/solving-linear-inequalities/v/multi-step-inequalities
 * Video explaining solving multi-step linear inequalities:**

http://www.khanacademy.org/math/algebra/solving-linear-equations/v/rearrange-formulas-to-isolate-specific-variables
 * Video explaining solving equations comprised of all variables:**

[[file:Activity to support Unit 2.pdf]]
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**Instructional Resources**

 * Cylinders lesson plan:**

http://www.iofm.net/community/kidscorner/maths/common_formulas.htm
 * Common formulas to create applications with:**

Activities suggested by the state of Utah:

http://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/e/solving_for_a_variable
 * Practice problems courtesy of Khan Academy:**
 * Solving multi-step equations:**

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**Notes and Additional Information**

 * Solving equations is a critical area of the curriculum. Spiraling of solving equations is imperative to student success.**