Presentation on theme: "Content Session 11 July 15, 2009. Georgia Performance Standards Instruction and assessment should include the use of manipulatives and appropriate technology."— Presentation transcript:
Georgia Performance Standards Instruction and assessment should include the use of manipulatives and appropriate technology. Topics should be represented in multiple ways including concrete/pictorial, verbal/written, numeric/data-based, graphical, and symbolic. Concepts should be introduced and used in the context of real world phenomena. (emphasis added)
Georgia Performance Standards Process Standards 5 Students will represent mathematics in multiple ways. a.Create and use representations to organize, record, and communicate mathematical ideas. b.Select, apply, and translate among mathematical representations to solve problems. c.Use representations to model and interpret physical, social, and mathematical phenomena.
Representations Tools for teachers to –present problems –explain ideas –demonstrate procedures –etc. Tools for students to –organize, record and communicate ideas –solve problems –model various phenomena
Representations include concrete/pictorial verbal/written numeric/data-based graphical symbolic
Representation “fluency” means: students are familiar with a variety of representations - i.e., students are able to create and interpret a variety of representations students are able to freely move across a variety of representations students are able to select an appropriate representation
M1N3 Students will add and subtract numbers less than 100, as well as understand and use the inverse relationship between addition and subtraction. h. Solve and create word problems involving addition and subtraction to 100 without regrouping. Use words, pictures and concrete models to interpret story problems and reflect the combining of sets as addition and taking away or comparing elements of sets as subtraction.
Can you represent these problems? Problem 1 Paul is building a book case. If each shelf can hold 15 books and there are 5 shelves in the book case, how many books can be placed on in the book case? Problem 2 Willie has a board that is 32 feet long. If he cuts the board into 4 equal length pieces, how long will each piece be? Problem 3 Carlos bought 8 packages of gum. If each package has 6 pieces of gum, how many pieces of gum did Carlos buy altogether? Problem 4 Lynn bought 28 chocolate bars. They were in packages of 4. How many packages did Lynn buy?
How can you represent this problem in a diagram? Book 5B