Teach numbers with flash-card games. Using large, colorful index cards print a set with the numbers one to 10. Include on each card an illustration that represents the number on the card. If the card is a number three, show three bananas, etc. Make a game by holding up a card. At first say what the cards is such as "This is number one," and point out the picture. Have the child hold up the correct number of fingers. After the child learns the numbers, flash the cards in different sequences until the child understands numbers one to 10.
Create letters of the alphabet. Make the letters large enough to see easily. Hide the letters around the room near objects starting with each particular letter. For example, put the letter B by a book. Have the Pre-K child search for the letters, connecting letters to objects.
Collect pictures of a variety of animals. Create cards with the names and pictures of the animals on them. Make two cards of each animal. Lay the cards face down on the floor or table. Show your child how to pick up the cards until a match is found. Lay matched cards aside. The game ends when all cards have been matched. Two children can play this game taking turns trying to find a match. The first child picks up two cards. If they do not match, cards are laid back down and the other child takes a turn. If the cards match, the child lays them to one side. Play continues back and forth until no more matches are possible. The child with the most matches wins the game.
Play catch with your Pre-K age child. Every time your child catches the ball or throws it so you can catch it, clap your hands. As your child grows more proficient, widen the distance so the ball is thrown a longer distance. Shorten the distance again, if the change is frustrating. Once your child can throw the ball, begin to bounce the ball back and forth.
Blow up lots balloons of different colors. Encourage your child to play with, chase and throw the balloons. Whatever balloon your child holds ask, "What color is that balloon?" If the child does not know or answer correctly, smile and say, "That balloon is yellow" or what the correct color might be. Once your child understands the colors, let him ask you about balloon colors.
Draw a scene with a large tree on it. Cover the top of the tree in green felt and the trunk with brown felt. Cut out 10 to 20 apples for the tree. Back the apples with felt. Place the apples on the tree and tell your child you are going to pick the apples. Begin by taking one apple saying, "One apple." Use the apples to teach numbers and counting. Let your child take apples off and put apples on the tree as first you, then your child, counts.