Course Guide - USAID Teacher Education Project

c) Have students work in pairs for this activity. Introduce the Algebra Tiles byhaving students model the expression (2x + 3) x (x + 7) by arranging on their desktoptwo "x" pieces and three “unit” pieces horizontally, and one "x" piece and seven“unit” pieces verticallyNext, have them fill in the products with their x 2 , x, and unit tiles. Discuss:• What did they notice?• How does this algebraic result relate to the work they just did with numbers?• How does the factored form relate to the total number of Algebra Tiles (theexpanded form)?d) Next, have students use their Algebra Tiles to create a rectangle that contains 2x 2tiles, 5 x tiles, and 3 unit tiles. (This is a model for 2x 2 + 5x + 3.)What are the dimensions of this rectangle? What are the factors of 2x 2 + 5x + 3?(This task, working backwards from the expanded form to its factors is morechallenging than the previous task.)e) If time allows, have students solve y = x 2 + 3x + 4, substituting 10 for x. Thensolve the following equations, substituting 10 for the value for x:o 2x 2 + 3x + 4o 5x 2 - 3x - 4o (x + 8) * (x + 2)o (x - 3) * (x + 5)How do the above expressions relate to the partial products method for 2-digitmultiplication?f) Distribute colour copies of the homework assignment, Connecting Graphing andAlgebra Tiles.5. AssignmentsColour copy of "Connecting Graphing and Algebra Tiles" (3 pages, include teachernotes): http://tinyurl.com/connect-geom-graph