Transcript ppt - 2012
Allison Cummons Melanie Moss-Lenz Christina Finney Please write your definition, key words, or thoughts about fluency on a post-it note. Fluent students used the facts they have memorized in flexible, mathematically rich, and efficient ways to derive facts they do not know. Finally, fluent students are able to demonstrate effective thinking strategies that involve decomposition and recomposition of numbers and, as such, have had opportunities to develop more advanced mathematical understanding than their counterparts who have been limited to rote memorization and drilling of their basic facts. Fluency with Basic Addition Facts, NCTM Fluency is often confused with automaticity. Math fact fluency refers to the ability to recall the basic facts in all four operations accurately, quickly, and effortlessly. When students achieve automaticity with these facts, they have attained a level of mastery that enables them to retrieve them from long-term memory without conscious effort or attention. Through automaticity students free up their working memory and can devote it to problem solving and learning new concepts and skills. D.C. Geary, Children’s Mathematical Development; Research and Practical Applications (1994) Accuracy denotes the ability to produce an accurate answer; efficiency refers to the ability to choose an appropriate, expedient strategy for a specific computation problem; and flexibility means the ability to use number relationships with ease in computation. Sherry Parrish, Number Talks Minds On ~ Hands On Number Talks by Sherry Parrish Mondays, Tuesdays, and Wednesdays Fluency Warm-Ups Thursdays and Fridays Subitizing- ability to see an amount of objects and know how many there are without counting. Flip 2 Deck of cards Ace (1) - 9 2 players- The first player flips 2 cards and adds or multiplies the set together. The next player also flips 2 cards and adds or multiplies these numbers together. The player with the largest sum or product gets the cards. The player with the most cards wins. Make 10 Deck of cards Ace (1) – 10 Each player gets half a deck. The players turn all of their cards face up. The players put 2 cards together that have a sum of ten. The only exception is the 10 card. Every card will have a partner that adds up to ten. Mystery Card Deck of cards 2-10 3 players-Deal one card each, face down. When the dealer says “heads up”, each player raises the card to his or her forehead. The dealer states the sum or the product of the 2 cards. Each player has to determine the value of the card being held to his or her forehead by looking at the other person’s card. Red or Black Deck of cards Ace (1) – 10 Players divide the cards evenly between themselves and place one card face up in the middle. The first player places their card next to the card in the middle. If it is a black card the cards are added together. If it is a red card, subtract the number from the previous total. Add It or Multiply It Players each have a die. They roll their die and then take turns multiplying or adding the numbers together. This can be done with double dice(die within a die). Players add the numbers on the double die and then multiply the sums together. Double It Players take turns rolling a die while the other player doubles the number on the die. This can also be done using 2 dice at a time for doubling greater numbers than 6. Target Number Use a multi-sided die to roll a target number. One player will roll the target number and the other player will roll a regular die and then try to find the missing addend. A fixed target number can also be used like 10. Number Word Symbol Dice, number cards, number words Players will roll one die or two dice. They take turns finding the number and the word that goes with each dice. Number Word Symbol Flippin’ Dominoes Set of double six or double 9 dominoes. Players work in groups of 2 or 3. Place dominoes face down in the middle of the group. Players take turns flipping over the dominoes and adding or multiplying the 2 sides of the domino. Each player must listen to the answer of the other player to see if they agree. Play continues until all of the dominoes are turned over. Ten Facts Set of double 9 dominoes. Players work in groups of 3 or 4. Place dominoes face up in the middle of the group. Players work as fast as they can to find as many ten facts as they can. After a set amount of time have students share their facts. Pyramid Dominoes Set of double 6 dominoes Players will form a pyramid using five dominoes for the base and one less for each layer. The sum or difference of the dots on each domino used for the base must be equal to five. The layer above the base must have dominoes whose sum or difference equals four, and so on, so that the top layer consists of a single domino whose dots add up to or can be subtracted to equal one. Fact Families Set of double 6 or double 9 dominoes. White Boards and markers or recording sheet. Players will take turns drawing a domino and then writing a fact family to go with the domino. You can use addition/subtraction or multiplication/division fact families.