Showing posts with label elementary. Show all posts
Showing posts with label elementary. Show all posts

Wednesday, November 28, 2012

Ten Terrific Card Games to Teach Math Facts


Most of us grew up learning math facts the good old “drill and kill” way, with flash cards. A handy alternative to flash cards is a standard deck of cards. They help students master their addition and multiplication facts while taking some of the “kill” out of “drill”.

What’s the advantage to using standard cards?

Randomization. I don’t know about you, but I breathed a sigh of relief when my least favorite “fact” was flashed at someone else to solve and then put on the bottom of the stack. I knew it was gone, at least for a while and I could put off learning 7 X 8 (for example) for a few more minutes. By using a standard deck of cards, the students (and you) never know what combination will happen next.

Flexibility. You can control what facts are learned by “stacking the deck”. Do your students need help with their 5’s, 6’s, 7’s, and 8’s multiplication facts? Fine. Create a deck with just those numbers. Do they  need 9’s facts reinforced? Super. Pull one card from the deck each time and have students multiply the selected number by 9.

Competition. Make it a game with rewards and consequences, winners and (dare I say it) losers.

Wanna try some? Excellent! Here are a few sample activities. For most of these, the face cards (king, queen, and jack) have been removed from a standard deck of cards.

Ten Activities and Games


  1. Draw two cards from the deck and have students either add or multiply the two numbers.
  2. Draw two cards from a deck. Make a two-digit number and create a factor tree for that number.
  3. Draw a card from the deck and have students list the first five multiples of that number.
  4. Deal ten cards to each of four players. Have them group the cards to create as many groups of ten as possible. Students earn one point for each group. Shuffle and deal again. The first player to earn a predetermined number of points wins the game.
  5. Remove the face cards and tens from a deck of cards. Deal four cards. Have students arrange the cards to make a two-digit plus two-digit addition problem with the largest possible sum. (Version 2: Make the smallest possible sum.)
  6. Use the same deck as above (no face cards or tens), deal four cards, and have students arrange the cards to make a two-digit minus two-digit subtraction problem with the largest possible difference.  (Version 2: Make the smallest possible difference.)
  7. Students draw one card from a deck. They subtract their card from 100. The next student draws a card. They subtract their card from the previous student’s answer. Example: Player 1 draws an 8, so 100 – 8 = 92.  Player 2 draws a 5, so 92 – 5 = 87. As players approach zero, if a player draws a card that cannot be subtracted without going below zero, they pass. The player that draws the card that makes exactly zero when subtracted, wins the game. Example: The current total is 6. A player draws an 8, so they pass. The next player draws a 4, so they subtract 6 -4 = 2. The next player draws a 2, so they win.
  8. Reverse the above activity. Have students draw cards from the deck and add them. Example: Player one draws a 5. Player two draws a six, so 5 + 6 = 11. Player three will then add their card to eleven. Play continues until a player succeeds in drawing a card that exactly adds up to 100 (similar pass/play strategy as above.)
  9. Deal five cards to each of four players. Players look at their cards and select the two cards that make the largest sum (or product). All players show their two cards at the same time. The player(s) with the largest sum (product) earns a point. Players draw two more cards to replace the ones played. Play continues until all cards have been drawn and played.
  10. Separate the cards into two decks. Deck one contains the jacks, kings, and queens. Deck two contains the aces through tens. Players draw one card from deck one. This card determines if they will add (jack), subtract (queen), or multiply (king). They then draw two cards from the other deck and perform the indicated operation. 

Tuesday, November 27, 2012

Tech Tip: Illustrating Operations with Excel


Excel is all about formulas and functions. Or is it?

By introducing only one or two spreadsheet skills at a time within a mathematics framework, even little guys and gals can be introduced to spreadsheets as early as first grade.

Spreadsheet Concepts


To begin, demonstrate the following spreadsheet skills.

Terms: cells, columns, rows
Skills: resizing columns, filling cells, applying a border to cells

Resizing columns:
  1. Click the gray square above row 1 to select all the cells in the workbook.
  2. Place your cursor over the line between columns A and B.
  3. When it changes to a double-arrow, click and drag to resize the cells until they look like squares.


Filling cells:
  1. Click and drag to select one or more cells.
  2. Click the Fill Color bucket.
  3. Click a color to fill the cells you selected with that color.


Applying a border to cells:
  1. Click the Border button.
  2. Select the All Borders choice.





Math Applications


For the following activities, students prepare their spreadsheet by resizing the columns so that the cells look like squares. Then they fill squares with colors to illustrate a specific operation. Images of what the finished product might look like are below.

Illustrated Addition


Illustrated Subtraction

 Illustrated Multiplication

Illustrated Fractions

 Simple. Fun. Relevant. Visual.

And each activity can easily be finished during one computer lab session or station rotation within the classroom. 

Thursday, November 15, 2012

Teaching Fractions with Dominos


Looking for a tactile manipulative for helping students visualize fractions? Dominoes and fractions are natural partners:
1.             They both have two numbers.
2.             The numbers on both are separated by a line.
3.             Since the numbers are represented by dots, it’s a great visual for introducing fraction concepts.
4.             And the dominoes can be turned either way without a number becoming upside down.

Writing Fractions – For the beginning fractionier, have students select a domino and then turn it so it represents a fraction less than one.

Simplifying Fractions – Students select a domino, and then turn it so it represents a fraction less than one. To help them determine if the domino fraction can be simplified, have them redraw the domino on paper. Then ask them experiment to see if they can circle dots to create the same number of groups both above and below the fraction line. If they can, then the fraction can be simplified.

Improper Fractions – Select a domino and turn it so it represents an improper fraction. Once again, they can redraw the domino on paper to help them. Circle groups of dots in the numerator equal to the number of dots in the denominator. Count the circled groups to make the whole number. Uncircled denominator dots become the numerator.

Equivalent Fractions Game – Turn all the dominoes upside down. Two or more students all draw dominoes from the pile at the same time. As they turn them over, they try to find a pair of dominoes that are equivalent fractions. The first student to find a pair, wins the game. Turn the dominoes face down and play again.

Add, Subtract, Multiply, or Divide Fractions – Students select a pair of dominoes from the pile. Depending on their skill level, have them add, subtract, multiply, or divide the fractions represented by the dominoes.

Since domino sets come in double-sixes and double-twelve’s, the difficulty level of each of the above activities can easily be modified.

Oh, and don’t forget. In the original dominoes game, players match domino ends. They score when the sum of the end values is a multiple of five. Okay, so that doesn't have a lot to do with fractions, but it is, after all, dominoes.

(Previously Posted on my Adventures in Mathopolis blog, October 2011)