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March Math Academy Dr. Rhonda Bonnstetter Dr. Debbie VanOverbeke Please sit with your school group.

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Opening Activity Check out these websites for fun Mathemagic activities! Crystal Ball Math- http://kids.niehs.nih.gov/mindre ad/mindread.html http://kids.niehs.nih.gov/mindre ad/mindread.html Gopher Math – http://www.learnenglish.org.uk/ games/magic-gopher- central.swf http://www.learnenglish.org.uk/ games/magic-gopher- central.swf Navigations book – pg. 59-62

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Review of February topics: Role of Properties in Algebra Importance of Order of Operations in solving algebraic equations Mathemagic – writing algebraic expressions Closed, Open-Middled, and Open-Ended questions, and how to write them

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Todays Agenda Pattern finding – Tiling activity Working with Perimeter and Area Using Algeblocks in the Algebra classroom, grades 5- 8 Websites for virtual Algeblocks! MCA test prep – sharing and ideas

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Tiling Around the Garden Commit to an Outcome: By self How many tiles must be added to form the 6 th garden? Each successive garden? (Recursive rule- each term of a recursive expression as determined by application of a rule or formula to its preceding terms) Expose beliefs: Share your answer with your group members. Confront beliefs: Decide on a recursive rule to share with the class.

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Tiling Around the Garden (2) A table can help communicate the number of tiles that must be added form each successive garden. Garden012345678… Tiles

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Tiling Around the Garden (3) Commit to an Outcome: By self Physical objects can help find the explicit rule to determine the number of tiles around a garden of size n. What patterns do you see when using the tiles? What explicit rule (functional relationship - rule that determines the number of elements in a step from the step number) Expose beliefs: Share your answer with your group members Commit to an outcome: With your group Decide on an explicit rule and write your rule and a rational with a diagram of tiles to share with the class. Create a coordinate grid graph to display the data.

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y Tiling Around the Garden (3) y = 2x + 6 y =2(47) + 6 y = 94 + 8 y = 100

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y Tiling Around the Garden (3)

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y

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Review perimeter and area of rectangles The Puppy Pen Activity – Please work on this activity at your table; be prepared to share your results with the group. – When finished, discuss how You could use this with your students. Perimeter and Area Activity

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Using the Basic Mat Compare the yellow rod(x) to the green unit block. – How can you describe the dimensions of the yellow rod in terms of the green rod? – What is the perimeter of this piece? – What is the area of the yellow rod? Build rectangles with areas of 16 units, 18 units, 7 units. – Which numbers can build squares? – What numbers have only one rectangular shape possible? – Why do some numbers have more than one rectangular shape?

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Used to help students make the connection between concrete and abstract manipulations Helps develop comprehension of key concepts Blocks represent constants (1) and variables: x, x 2, x 3, y, y 2, y 3, xy, x 2 y, and xy 2 Three mats: Basic Mat, Quadrant Mat, Sentences Mat Factor Track allows students to use +/- factors & polynomial models in all four quadrants Pattern Finding – Algeblocks Activity

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Using the Basic Mat Define the green block as a unit representing 1 Use green blocks to build the number 7 Use the green blocks to build the number -3 Put one block on each side of the mat; what numbers are represented? What happens when you combine the numbers?

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Using the Basic Mat Use the green blocks to show the equation 5 + 3 = _____ Use the blocks to show the equation 9 + (-7) = _____ Now build three ways to show the number 4 – Try using more than two numbers – Try using both positive and negative numbers!

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Using the Basic Mat Use 12 units to build as many rectangles as possible with different dimensions – Why are there so many ways? What are the different ways? Build rectangles with areas of 16 units, 18 units, 7 units. – Which numbers can build squares? – What numbers have only one rectangular shape possible? – Why do some numbers have more than one rectangular shape?

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Using the Basic Mat Use the yellow rod(x) to represent the following situations: – Robert has five times as many baseball cards as Kirsten does – Model x and -2x on your mat – In one month, Dion ate six times as much fish as he did ham. In your group, design and describe your own situation – Share with the large group

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What equation does this model represent? 2x + 3 What do the yellow blocks represent? What do the green blocks represent? How would you represent –(2x + 3)? Pattern Finding – Algeblocks Activity

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Does this model represent 2x or x + 2? x + 2 Use the blocks to represent these expressions: 3x + 1 x – 6 2x – x + 4 - 2 Pattern Finding – Algeblocks Activity

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What is the relationship between these two blocks? x x 2 Use the blocks to represent these expressions: x 2 + x 4x 2 -7 3x 2 Pattern Finding – Algeblocks Activity

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What expression does this represent? 3 = 3(x + 2) = 3x + 6 x + 2 Use the blocks to represent these expressions: 4(x + 2) -2x(3) (2x)(x – 3) Pattern Finding – Algeblocks Activity

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NLVM website: http://nlvm.usu.edu/en/nav/category_g_3_t_2.html Algeblocks Virtual Manipulatives

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What are you doing in your district to help to prepare students for MCA testing? test question prep? Textbooks/supplementary materials used? Websites you would recommend? SHARE with the whole group! MCA Test Prep

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MDE website: http://www.education.state.mn.us/mde/index.html Assessment & Testing MCA see various categories Texas Instruments Test Prep: http://education.ti.com Classroom activities State practice exams MCA Test Prep

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Minnesota Perspective (Pearson and State of MN): http://perspective.pearsonaccess.com/perspective/ appmanager/mn/educator/ – Learning Locator # from MCA test Study Island: http://www.studyisland.com/demoAsk.cfm?myStat e=MN – Cost involved (Purchase per class or per person) Practice Planet: http://www.practiceplanet.com/pricing.php – Cost involved (Purchase per school, class or per person) MCA Test Prep

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Thanks for coming today! Please fill out the evaluation forms and leave them on your tables. A copy of the Puppy Pen worksheet and the MCA Test Prep ideas will be posted on the Moodle site. Closing

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