Numbers and Counting
- Recognize and write numbers (anywhere from 0-10 to 0-30)
- Name ordinal numbers first through tenth
- Show sequencing to 20
- Demonstrate 1 to 1 correspondence to 20 by pointing to each object as it is counted
- Count to 10 by 2’s
- Count to 100 by 1’s, 5’s, and 10’s
- Count backward from 10
Sorting and Classifying
- Create sets and sometimes label them with the correct numeral
- Join and separate sets of objects into equal groups and/or into sets of 0-10 or 0-20 (sometimes also asked to label sets with correct numeral)
- Sort and classify objects using one or more attributes such as position, shape, size, color, the number of corners, etc.
- Identify half versus whole
- Separate whole to parts then back to whole
Shapes and Graphs
- Recognize and draw the five basic geometric shapes (circle, square, triangle, rectangle, oval)
- Identify, copy, create and extend patterns of three objects
- Make and interpret graphs
Measuring and Comparing
- Use nonstandard objects (pencils, blocks, and hands) to measure length, volume, and weight
- Compare quantities by estimating, weighing, and measuring
- Compare measurements and correctly use the terms shorter, longer, taller, heavier, warmer, more, less, etc.
- Demonstrate an understanding of positional relationships (above, below, more, less, top, bottom, before, after, middle, left, right)
Time and Money
- Identify coins (penny, nickel, dime, quarter)
- Count coins
- Tell time to the nearest hour
- Recite the days of the week and months of the year in order
Adding and Subtracting
- Add and subtract to and from 10 using manipulatives (items that can be picked up, such as pieces of candy)
- Do simple addition and subtraction problems to 20
What If Your Child Already Knows This Material?
If your child already knows most of this material and has not started kindergarten, you have several options. You might try working with the school to get special accommodations to meet your child’s needs. That could mean getting your child started in kindergarten early or skipping ahead to first grade, depending on when you discover that your child has already mastered the kindergarten math curriculum.
If your child has the material mastered at age 4 but won’t start kindergarten until they turn 5, you can try to get your child started in kindergarten early. If your child is already 5 and about to start kindergarten, you might try getting the school to skip them to first grade.
Before letting your child skip a grade, consider whether they have the academic and social skills necessary.1
If your child is advanced in math but is not advanced in reading or reading readiness, early entry or grade skipping may not be the best option. That is true in terms of social skills as well.
In most cases, you are likely to meet with resistance to early entry to kindergarten or grade skipping. In that case, you’ll want to see what the school is willing to do to accommodate your child’s advanced needs. This, too, can be difficult with kindergarten age children.
Many educators do not accept that children so young need anything special. One accommodation you can ask for is that your child is allowed to go to the first-grade classroom for math instruction. You can also ask that the teacher provide differentiated instruction for your child in math.
The final option, which is the one that most parents choose (or have to choose since the school won’t provide any accommodations) is to supplement work at home. For kids who do well in math and love it, providing extra lessons and work at home isn’t pushing. It is most likely their idea of fun.
If you are good with math and numbers yourself, you can provide lessons yourself. However, there are also lessons available online, even for young children. The Khan Academy, for example, has free lessons available on very basic math, starting with counting. Your child can start at any point.
Just remember, your child already enjoys math, so there is no reason to push them. Nurture their interest. Follow their lead. As long as they are interested, let them learn all they want. That is likely to be a great deal!