- Game: Bunch of Beans from Games for Math -- this game helps children understand the complicated role of ten in our number system: thirty-four means 3 groups of 10 and 4 more
- You'll Need: 1 playing mat for each person, 100 beans for each person, and cards from Skip-Bo Junior or Uno (remove all cards that are not numbers)
- Playing Mat is made of card stock (or an old manila folder). It has 10 columns with 10 circles in each column. (see photo below)
- Rules: Each person takes a turn drawing a card from the deck. The number on the card tells you how many beans to take and place on your mat. Start on the left, and fill columns from the top to the bottom. The first player to fill up his mat with 100 beans wins.
- Your children will discover the lesson behind this game without lectures, so just play it and have fun. When they want to know how many beans they have, you can help them discover it is easier to count by 10s rather than 1s. When they want to know who is winning, you can help them discover it is easier to compare groups of tens and ones rather than counting.
Tuesday we played with Number Theory Patterns
- Game: Three Pots from Games for Math -- this game helps children understand that a digit represents different amounts depending on its placement in a number: the "3" has a different value in each of these numbers 143, 432, and 360
- You'll Need: 3 containers (16 oz sour cream or cottage cheese containers work well), 9 beans, paper, pencil
- Label one container "Ones", another "Tens", another "Hundreds" (see photo below)
- Draw a chart on each paper with 5 rows and 3 columns. In the top row, label the columns: Hundreds, Tens, Ones
- Rules: Player stands behind a line, 2 or 3 feet away from the pots, with the "Ones" pot closest to the player (see photo below). Player takes the 9 beans and tosses them one at a time into the pots. Any beans that don't end up in a pot are collected and tossed again until all 9 beans are in a pot. Count the beans in each pot and write the corresponding numbers in the next row of the player's chart. After all players have had their turn, the person with the highest number wins.
- Children will come to understand that 3 beans in the hundreds pot is more valuable than 3 beans in the ones pot. That adding a bean to the tens pot doesn't affect the hundreds or ones pot. This is a fun game that K. wants to play even during our Family Time.
Wednesday we worked on Counting On
- Game: Grasshopper from Games for Math -- this game will encourage your child to start counting from numbers other than 1
- You'll Need: a driveway or sidewalk, sidewalk chalk
- Write the numbers 1 through 10 in a haphazard fashion, in a space no larger than 6 feet by 10 feet
- Rules: Start by having your child hop onto a number you say. Then, depending on your child's ability, give instructions such as
- run to the number that is 1 more than 7
- jump to the number that is 1 less than 4
- count backwards from 10 to 5 and hop on each number as you go.
- As your child gets more practice, ask for the number that is 2 more than, 3 more than. You can also use higher numbers, such as 15 through 30 or 100 through 120. You will also want to switch places and let your child give the instructions to you.
- We played a matching card game and K. kept track of our score with tally marks.
- Then after the game she counted the tally marks (count by 5s) to see who won.
- We played Shape Lotto from Games for Math -- I made new cards that had both the flat and solid shapes on them
- You'll Need: playing mats, matching cards plus two cards that say "Sorry"
- Make the playing mats by dividing a piece of card stock or manila folder into the number of squares you want. Draw or paste a shape in each square. I used these shapes: square, rectangle, triangle, pentagon, circle, oval, crescent, rectangular solid, cube, sphere, cylinder, and cone.
- Make the cards by drawing or pasting the same shapes on them as are on the playing mats. You will need enough to cover all the squares.
- Make two more cards that say "Sorry" or "Lose a turn" (If more than 2 people are playing there should be 1 "Sorry" card per player.)
- Rules: Each player has a playing mat. Place the cards face down and mix them up. Do not stack them. Players take turns picking a card. When they pick a card they must say the name of the shape and then cover that shape on their playing mat with the card. If a shape is picked which they already have covered, they must return it to the "pot" and mix up the cards again. They do not get to pick another card until their next turn. If they pick a "Sorry" card, they lose a turn, but do not return the card to the "pot". The player to fill their playing mat first, wins.
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