Singapore Math: Kindergarten
Build a strong foundation with number bonds, counting, and early math concepts using a Singapore-style approach.
Path Steps
Numbers 1-10
Start hereLearn to recognize, count, and write numbers 1-10.
Why the path starts here
Everything else on this path is built from these ten numbers. A child who can count a set and say how many are in it is ready to split that set into two parts, which is exactly what number bonds ask next.
Sets up: Number Bonds to 5
Skills in this step
- Count from 1 to 10
- Recognize all numbers to 10
- Count forward from a given number within 10
Fill in the missing numbers
- This is a counting pattern — each number changes by the same amount.
- The numbers go up by 1 each time.
- Add 1 to fill each blank. The missing number: 9.
Answer: 9
Number Bonds to 5
Discover part-part-whole relationships with numbers up to 5.
Why this step comes next
A number bond shows that a number is made of two parts: 5 is 2 and 3. Keeping every total at 5 or less means each part can still be counted on one hand, so the part-whole idea is the only new thing to learn.
Sets up: Number Bonds to 10
Skills in this step
- Understand that numbers can be broken into parts
- Find the missing part when given the whole and one part
- Recognize all bonds within 5
1 + ? = 5
- A number bond joins two parts to make a whole. The whole is 5 and one part is 1.
- To find the missing part, take the known part away from the whole: 5 − 1.
- So the missing part is 4.
Answer: 4
Number Bonds to 10
Extend number bond understanding to 10.
Why this step comes next
Once the part-whole picture is secure with small numbers, the same picture stretches to 10. The pairs that make 10, such as 7 and 3, are the ones Grade 1 mental math leans on most, so they get their own worksheet here.
Sets up: Addition within 10
Skills in this step
- Find missing parts in bonds up to 10
- Use fingers on both hands to explore bonds
- Connect bonds to simple addition and subtraction
? + 3 = 7
- A number bond joins two parts to make a whole. The whole is 7 and one part is 3.
- To find the missing part, take the known part away from the whole: 7 − 3.
- So the missing part is 4.
Answer: 4
Addition within 10
Use number bonds to add numbers within 10.
Why this step comes next
Addition is putting the two parts of a bond back together. A child who knows that 6 is 4 and 2 can read 4 + 2 as the whole of that bond instead of counting up from one.
Sets up: Subtraction within 10
Skills in this step
- Add numbers with sums up to 10
- Learn ways to make 10
- Use all 10 fingers for counting
4 + 4 = ?
- Start at 4 on the number line.
- Count forward 4 steps.
- You land on 8.
Answer: 8
Subtraction within 10
Use number bonds to subtract within 10.
Why this step comes next
Subtraction is the same bond read the other way: take one part away from the whole and the other part is left. It comes straight after addition so that 4 + 2 = 6 and 6 − 2 = 4 feel like one fact, not two.
Sets up: Shapes and Patterns
Skills in this step
- Subtract from numbers up to 10
- Use all 10 fingers
- Connect subtraction to number bonds
8 − 1 = ?
- Start at 8 on the number line.
- Count backward 1 step.
- You land on 7.
- Or think: 1 + ? = 8. The answer is 7!
Answer: 7
Shapes and Patterns
Spot what repeats in a row of shapes and continue the pattern (AB, then ABB).
Why this step comes next
The year closes with a different kind of thinking: find the part that repeats and predict what comes next. Looking for structure like this is what later makes skip counting and times tables feel predictable instead of memorised.
Skills in this step
- Recognize AB repeating patterns
- Continue an AB pattern
- Create your own AB patterns
Fill in the missing terms
- Find the part that repeats: heart, square. The pattern says it again and again.
- Split the row into groups of 2: (heart, square) (heart, square) (heart, square) (?, ?).
- Fill in the question marks so every group matches (heart, square): (?, ?) becomes (heart, square).
- So the missing shapes are heart, square.
Answer: heart, square