How do you teach place value in homeschool — especially if your child is struggling with math?
You teach it using the Concrete–Pictorial–Abstract method: first with hands-on materials, then with drawings, and finally with numbers. This step-by-step approach builds real understanding of tens, hundreds, and place value structure at any grade level.
If your child struggles with regrouping, borrowing, multi-digit addition, multiplication, or word problems, the root issue is often place value.
Even older students who “know the steps” may not truly understand how numbers are built.
Let’s walk through how to teach it correctly.
What Is Place Value?
Place value is the value of a digit based on its position in a number.
In the number 58:
- The 5 represents 50
- The 8 represents 8
Our entire number system is based on groups of ten. When children understand that numbers are made from tens, hundreds, and ones, math begins to make sense.
Without this understanding, math feels like memorizing random procedures.
Why Do Students Struggle With Place Value?
Many math programs introduce numbers abstractly first.
Students see:
58
But they never physically build 5 tens and 8 ones.
When we skip hands-on modeling, students may:
- Memorize regrouping without understanding it
- Struggle with borrowing
- Confuse place values
- Freeze when numbers get larger
This can happen in early elementary grades or even in upper elementary.
Revisiting place value can rebuild confidence at any age.
What Is the Concrete–Pictorial–Abstract Method?
The Concrete–Pictorial–Abstract (CPA) method teaches math in three developmental stages:
Concrete
Pictorial
Abstract
This method builds deep understanding instead of surface memorization.
It is especially powerful for struggling learners.
Step 1: Start With Concrete Learning
Concrete learning means using physical objects.
You can use:
- Base ten blocks
- Bundled sticks
- Counters
- Beads
- Coins
- Legos
If teaching the number 143, your child builds:
1 hundred
4 tens
3 ones
Yes — even older students benefit from physically modeling numbers.
There is no shame in going back to foundations. Mastery matters more than age.
Step 2: Move to Pictorial
After building numbers, students draw what they created.
For 143, they might draw:
1 large square for 100
4 lines for tens
3 dots for ones
This visual stage bridges hands-on understanding to number symbols.
Many struggling learners were rushed past this step too quickly.
Step 3: Transition to Abstract
Now students write:
143
But they understand:
100 + 40 + 3
They can explain why regrouping works. They understand expanded form, and see how numbers are structured.
It is no longer memorization. It makes sense.
How Long Should You Teach Place Value?
Place value should not be treated as a one-week lesson.
It should be practiced and reinforced throughout the year using:
- Number of the day routines
- Expanded form practice
- Mental math
- Modeling with base ten
Strong place value understanding makes higher-level math easier and less stressful.
What Is the Best Way to Rebuild Math Confidence?
If your child is struggling in math, slow down.
Return to:
Build it
Draw it
Then write it
The Concrete–Pictorial–Abstract method rebuilds understanding at any grade level and strengthens long-term math confidence.
Watch the Full Lesson
I recorded a full video walking through exactly how to teach place value in homeschool — especially if your child is struggling.
If you are building a strong math foundation at home, this method changes everything.
Need Help Building a Mastery-Based Math Plan?
Inside Homeschool Safari, we teach math using mastery-based instruction and the Concrete–Pictorial–Abstract approach so children truly understand what they are learning.
If you want support building a math plan that fits your family’s schedule, this approach is where to begin.