Kindergartners should recognize geometric shapes in the world around them. Take your class outside and see how many circles, triangles, squares and rectangles they can find on school grounds. A swing set would have triangles and squares, a merry-go-round would be a circle, windows would be rectangles. Ask questions about which shape is the most frequent and if they can think of anything at home that is a shape.
Divide your class into two equal groups and instruct them to hold hands. If you have a smaller class, consider combining with another kindergarten class to make a larger group. Join one group, then call out a number between 1 and 4. The other group should send over that number of players. Ask each team to how many players they subtracted or added. Next, go to the other group and call out another number, repeating your questions.
Cut construction paper into shapes such as circles, rectangles, squares and triangles in a variety of sizes. Ensure that all circles are one color, all rectangles another, and so forth. Divide your pupils into groups and give each group one shape and color. Have them stack their shapes from largest to smallest. Next have each group tape their shapes in an arch over a large window or wall, one group above the other, to form a paper rainbow. Have them start with the smallest shapes and go to their largest. This illustrates classification, geometry and patterns.
Outside, draw or tape off a large circle. Place cutouts of flowers around the circle, labeling each one with a number between 1 and 10. Play a song or have your pupils sing a song while walking around the circle, using the numbered flowers as steps. When the song ends, call out a number. The child at that number takes a prize, then steps out of the circle. Have the pupils subtract one from the total number of pupils in the game. Keep doing this until each child receives a prize.