*Organized lists, charts, tree diagrams Teacher-made supplements Best of Math I and II, Exemplars CD *Dividing into categories (e.g., to find the total Teacher-made supplements number of rectangles in a grid, find the number of rectangles of each size and add the results) D. Discrete Mathematics - Vertex - Edge - Graphs and Algorithms 1. Follow, devise, and describe practical sets of Everyday Mathematics, Units 2, 5, 7, 9 Teacher supplement directions (e.g., to add two 2-digit numbers). 2. Play two-person games and devise strategies Game of Nim Math By All Means Probability 3-4, Marilyn for winning the games (e.g., "make 5" where Game of Pig Burns players alternately add 1 or 2 and the person Odd Number Wins who reaches 5, or another designated number, is the winner.) 3. Explore vertex-edge graphs and tree Teaching Student-Centered Mathematics, diagrams. Grades 3-5, Lovin and VanDeWalle, page 348 District teacher-made worksheets *Vertex, edge, neighboring/adjacent, number of neighbors NJ Mathematics Curriculum Framework, selected activities for grades 3-4 *Path, circuit (i.e., path that ends at its starting District teacher-made worksheets point) 4. Find the least number of colors needed to Use US state maps, NJ county Everyday Mathematics, Lesson 9.7 color a map or a graph. maps and abstract drawings Map Coloring District Teacher Made worksheets
*Organized lists, charts, tree diagrams Teacher-made supplements Best of Math I and II, Exemplars CD *Dividing into categories (e.g., to find the total number of rectangles in a grid, find the number of rectangles of each size and add the results) Teacher-made supplements D. Discrete Mathematics - Vertex - Edge - Graphs and Algorithms 1. Follow, devise, and describe practical sets of directions (e.g., to add two 2-digit numbers). Everyday Mathematics, Units 2, 5, 7, 9 Teacher supplement 2. Play two-person games and devise strategies for winning the games (e.g., "make 5" where players alternately add 1 or 2 and the person who reaches 5, or another designated number, is the winner.) Game of Nim Game of Pig Odd Number Wins Math By All Means Probability 3-4, Marilyn Burns 3. Explore vertex-edge graphs and tree diagrams. Teaching Student-Centered Mathematics, Grades 3-5, Lovin and VanDeWalle, page 348 *Vertex, edge, neighboring/adjacent, number of neighbors District teacher-made worksheets NJ Mathematics Curriculum Framework, selected activities for grades 3-4 *Path, circuit (i.e., path that ends at its starting point) District teacher-made worksheets 4. Find the least number of colors needed to color a map or a graph. Use US state maps, NJ county maps and abstract drawings Everyday Mathematics, Lesson 9.7 Map Coloring District Teacher Made worksheets
FINAL_K-6_CURRICULUM_AUGUST_2010.docx