Math in Focus: Parent University Fall 2012 0011 0010 1010 1101 0001 0100 1011 1 2 4 Opening Task Complete the Noodler activity found on your table. 0011 0010 1010 1101 0001 0100 1011 Noodlers are problem solving activities designed 1 2 to enhance visual thinking and reasoning skills. Separate each hexagon into an area by itself using spaghetti noodles! 4 What does the research say? 0011 0010 1010 1101 0001 0100 1011 1 2 4 “Mathematics is an excellent vehicle for the development and improvement of a person’s intellectual competence.” Ministry of Education Singapore, 2006 Singapore Math Framework 0011 0010 1010 1101 0001 0100 1011 1 2 4 What can I expect to see… in the classroom 0011 0010 1010 1101 0001 0100 1011 • Teaching to mastery • Concrete-pictorial-abstract model • Differentiation 1 2 4 • Intentional progression of skills Integrating the Concrete-PictorialAbstract (CPA) Model with Visualization 0011 0010 1010 1101 0001 0100 1011 1 2 4 x + 2x = 12 A Closer Look At… Bar Modeling A pictorial or diagram method of representing quantities and their relationships to solve both arithmetic and algebraic word problems. 0011 0010 1010 1101 0001 0100 1011 1 Students use rectangle blocks to represent the known and unknown: •Blocks are easily drawn and divided •Rectangles enable proportional representation and solving for the unit 2 4 Trajectory of Bar Modeling 0011 0010 1010 1101 0001 0100 1011 • Part/Whole • Comparison • Equal Parts Part Part 1 2 4 Bar Model Drawing 0011 0010 1010 1101 0001 0100 1011 Kevin scores 78 points in the first game he bowls. He scores 85 points in the second game. How many points does Kevin score for both games? 78 85 ? 1 2 4 Model Drawing 0011 0010 1010 1101 0001 0100 1011 A red box has 326 pencils. The red box has 78 fewer pencils than the blue box. How many pencils are in the blue box? ? pencils 326 1 2 4 78 fewer Model Drawing Jason has 5 times as many stamps as Eric. Together, they have 30 stamps. How many stamps does Eric have? 0011 0010 1010 1101 0001 0100 1011 Eric 1 2 4 30 stamps Jason Bar Modeling: Group Task A Mom is 28 years older than Zack. Mom is 4 years younger than Dad. Their total age is 84 years. What is Mom’s age? 0011 0010 1010 1101 0001 0100 1011 1 2 4 Bar Modeling: Group Task B 0011 0010 1010 1101 0001 0100 1011 Lisa had 1,750 stamps. Minah had 480 fewer stamps than Lisa. Lisa gave some stamps to Minah. Now, Minah has 3 times as many stamps as Lisa. How many stamps did Minah have at first? How many stamps does Lisa have now? 1 2 4 What can I expect to see… at home 0011 0010 1010 1101 0001 0100 1011 • Same math, different focus -Focus on understanding, as opposed to memorization • Math talk -More focused vocabulary -Explanation of answers • Independent practice of concepts -Homework -Games • Online resources -Student textbook -Background videos/podcasts -Virtual manipulatives 1 2 4 Technology Resources 0011 0010 1010 1101 0001 0100 1011 • Think Central (Grades K-5) www.-k6thinkcentral.com • Holt McDougal Online (Grade 6 & 7) http://my.hrw.com 1 • Houghton Mifflin Harcourt: Singapore Math 2 4 http://www.hmheducation.com/singaporemath/ What can I expect to see… beyond 0011 0010 1010 1101 0001 0100 1011 • Ability to apply • Ability to reason • Ability to persevere 1 2 4 0011 0010 1010 1101 0001 0100 1011 1 2 4 Reflection 0011 0010 1010 1101 0001 0100 1011 Use the exit slip, to reflect back on tonight’s presentation and leave it by the door on your way out. Thank you for attending this evening! 1 2 4