February 2013 Coaches Meeting

Counts by ones Use of base-ten models Direct Modeling Supported by written recordings Mental methods Invented Strategies Usually requires guided development Traditional Algorithms

Match the problem with the problem type.

 Adding On = = = = 279  Partial Subtraction = – 40 = – 6 = – 146 = 241

 Compensation = 536 Subtract – 3 = = 533 Adding more than is required, and then subtracting the extra amount.  Compensation – 300 = 247 Add = – 296 = 251 Subtracting more thn is required, then adding back the extra amout

 Moving Move 2 from 153 to = = 751  Constant Difference 146 – 38 Add 2 to both numbers to create expression with friendly numbers 148 – 40 = – 38 = 108

Yesterday there were 57 penguins sitting on the iceberg. Later 34 penguins joined them. How many penguins are now on the iceberg? There were 72 penguins sitting on the iceberg. 49 penguins jumped into the icy water. How many penguins are still on the iceberg ?

Number of Players: 2 or 3 Materials: One deck of 40 cards (4 each of the numbers 0-9) Directions: The goal of the game is to have a sum as close to but not over 500 at the end of five rounds. To begin, shuffle the deck of cards. Deal 5 cards to each player. Use four of the cards to make 2, two-digit numbers, saving the fifth card for the next round. Try to get as close as possible to 100. Record your addition problem and sum on the recording sheet, keeping a running total as you play. For the second round, each player gets four cards to which they add the unused card from the first round. After five rounds, the winner is the player who is closest to 500 without going over.

Strengthening the ability to move between and among representations improves the growth of children’s conceptual understanding. Vandewalle, J. Elementary and Middle School Mathematics Teaching Developmentally. Pearson Education, pictures manipulative models Real-world situations written symbols oral language

A model for thinking about a mathematical concept refers to any object, picture, or drawing that represents the concept.  To see a concept in a model you must have some relationship in your mind to impose on the model.  Models give children something to think about, explore with, talk about, and reason with.

Addition (2 digit + 2 digit) A sunflower is 47 cm tall. It grows another 25cm. How tall is it?

Subtraction (2 digit – 2 digit) I need 72 dollars to buy a skateboard. I have 39 dollars already. How many more dollars do I need to save?