Katie

=Common Core Resources=

1) This is a link to the website that lists out the standards for mathematics for the different grade levels. http://www.corestandards.org/the-standards/mathematics

2) This link is to help "unpack" the mathematical standards for the different grades. They are the "crosswalks" between the common core standards and the standard course of study standards. http://www.ncpublicschools.org/acre/standards/common-core-tools/#unmath

3) This is DPI's website for support tools for the common core standards. It contains PDF files for the different content areas. http://www.dpi.state.nc.us/acre/standards/hs-support-tools/

4) This link is for the site that really explains the common core standards. It's a good resource for learning more about what the common core really is, and has some videos, graphs, and other representations of material. http://www.livebinders.com/play/play/187117

5) This website explains common core and contains a timeline of what states have adopted it and has videos and information about who created the common core and has news links about the standards, etc. http://commoncore.org/index.php

6) The APP for common core - need I say more? It's a reference for students, teachers, and parents to understand the standards http://itunes.apple.com/us/app/common-core-standards/id439424555?mt=8

7) Here is a link that also has links to websites to help you break down the standards, videos, tools, and resources related to the common core standards and self-assessment. http://www.achieve.org/achieving-common-core

8) This is DPI's wiki for the NC Math common core standards. It has elementary, middle, and high school resources on it. It also has links for the traditional math pathway and the integrated math pathway for high school. http://maccss.ncdpi.wikispaces.net/High+School+Mathematics

9) The UNC school of education has created links for the different high school topics (number and quantity, functions, algebra, etc) and just helps to explain the standards a little bit and list some of them out in a short concise way. http://www.learnnc.org/lp/editions/ccss2010-mathematics

10) Super cool website. First off, who could not post a website called mathalicious? Second off, it contains links to interactive lessons/videos aligned with common core standards. http://www.mathalicious.com/lessons/

LESSON:

Standards:
Interpret the structure of expressions Create equations that describe numbers or relationships
 * Common Core:**
 * A-SSE.1. Interpret expressions that represent a quantity in terms of its context. ★
 * Interpret parts of an expression, such as terms, factors, and coefficients.
 * Interpret complicated expressions by viewing one or more of their parts as a single entity. //For example, interpret P(1+r)n as the product of P and a factor not depending on P.//
 * A-CED.2. Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

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

Objectives:

 * Students will be able to underline key words important for creating the systems of equations
 * Students will write systems of equations that model the information given in the problem
 * Students will solve the systems of equations by graphing (if equations are in slope-intercept form) or using matrices (if equations are in standard form)
 * Students will be able to interpret the results of the system of equation in context with the problem.

Materials:

 * Smart notebook: for introduction to lesson (before section) and hollywood squares systems of equations
 * Station material : questions printed out for each station (one for each group)

Before:

 * Teacher will introduce the different kinds of system of equations word problems to the class.
 * Students will identify the key words/information in each of the word problems.

Intro to Systems of Equations Examples: (done before Station work) 1. (matches with Station 4) You are the webmaster for the school’s science and math clubs. You are analyzing the number of times each site is visited each year. The science club currently has 400 daily visits with an average increase of 25 daily visits per month. The math club currently has 200 daily visits with an average increase of 50 daily visits per month. Find when the number of visits at the two sites will be the month. 2. (matches with STATION 1) Find the value of two numbers if their sum is 24 and their difference is 2. 3. (matches with STATION 2) Mary’s school is selling tickets to a play. On the first day of ticket sales, the school sold 6 senior citizen tickets and 2 student tickets for a total of $74. The school took in $246 on the second day by selling 14 senior citizen tickets and 12 student tickets. Find the price of a senior citizen ticket and the price of a student ticket. 4. (matches with STATION 3) A store is selling CDs for $10.50 and $8.50. You buy 10 CDs and spend a total of $93. How many compact disks did you buy for $10.50? How many did you buy for $8.50

During:

 * Students will be placed into groups of no more than 4.
 * Students will assign themselves a role for each of the stations (roles will change as students move from station to station)
 * Students will fulfill their individual roles. It will give each student an opportunity to find key words/information, write the equation, solve the equation, and interpret the answer.
 * Students will explain their problems from the stations to each other and the teacher.

Station work: attached

After:

 * Students will play hollywood squares as a way to review and have more individual practice with the different kinds of systems of equations word problems.
 * Students will collaborate and work with their team members to create and solve the systems of equations.

Hollwood squares questions: attached