Count objects in a line. Simply put a small number of objects in a line and ask your child to count them. Begin with just three to five objects; when your child consistently gets that number correct, add more.
Move the same objects around (scatter) and count again. Then push them together in a very tight line. Ask your child to count once more. Eventually your child will understand that rearranging a group of objects does not change their total number.
Coins (sort, count, graph, pattern)
Set out some coins and sort by pennies, nickels, dimes, and quarters. Count coins by each value: count by ones, count by fives, count by tens.
Give the child a handful of coins; sort and line coins to determine which has the most, the least, or equal. Ask how many pennies, nickels, etc. Ask how many more pennies than dimes, etc.
Set up a grocery store: Layout various food items and determine the cost of each item. Have the child “pay” for the items with corresponding coins.
Have the child make various patterns (AB, ABC, ABCD, AABB, ABB, etc.)