Model each number with unit cubes for ones, rods of 10 for the next place, and flats of 100 for hundreds, placing every shape beneath the correct heading on the practice page.
Regroup when 10 ones appear by replacing them with a single rod, and regroup 10 rods into one flat. This keeps place value organized and makes the total easy to read without guessing.
Write the matching equation beside the models so learners can compare the visual total with the written sum and correct any mismatch immediately.
Place Value Practice with Units Rods and Flats
Set up each number with unit cubes for ones, rods grouped in 10s, and flats for hundreds, placing the models beneath clear column labels so like values stay aligned.
Combine the models by bringing all ones together, all rods together, and all flats together. When 10 ones appear, trade them for a single rod, and when 10 rods appear, trade them for one flat.
Write the matching numeric sentence beside the picture and compare each place value to confirm the combined total equals the rearranged models without guessing.
Setting Up Units Rods and Flats for Each Addend
Place unit cubes in the ones column, rods in the 10s column, and flats in the 100s column so each part of the number stays aligned with its place value.
Separate each addend clearly by leaving a small gap between the two sets of models. This prevents mixing values and helps students focus on one quantity at a time while preparing for the combination step.
Label each group with small notes such as “ones,” “10s,” and “100s” beside the shapes. This visual guide supports correct placement and reduces counting mistakes before the numbers are combined.
Modeling Two Numbers Side by Side Before Combining
Place the first quantity on the left and the second quantity on the right, each arranged in neat columns for ones, 10s, and 100s so every digit has a clear visual match.
Keep the layouts identical for both numbers. For example, if the first number shows three rods in the 10s column, the second number should show its rods directly beneath the same heading, not scattered across the page.
After both quantities are set, scan each column from right to left and confirm the total number of unit cubes, rods, and flats before moving on to the regrouping step.
Regrouping When 10 Ones Form a Single Rod
Trade every set of 10 single cubes in the ones column for one rod, then shift that rod to the next column without leaving extra cubes behind.
- Count the single cubes in the ones column. If the total reaches 10 or more, separate one full group of 10.
- Physically remove those 10 cubes and replace them with one rod placed neatly in the next column to the left.
- Leave any leftover cubes (0–9) in the ones column so the count stays clear and tidy.
- Record the exchanged rod by increasing the total rods by one, matching the visual model to the written number.
- Repeat the trade again only if another full group of 10 single cubes appears.
- Never keep the 10 cubes and the rod at the same time; the trade replaces them completely.
- Keep columns straight so rods never drift into the ones space.
- Confirm the final layout: 0–9 cubes in the ones column and an updated number of rods in the next column.
Regrouping When 10 Rods Form a Single Flat
Exchange every full set of 10 rods for one flat, then move that flat to the next column while removing the traded rods completely.
Clear procedure:
Count the rods in the middle column. Once the total reaches 10 or more, separate exactly 10 and replace them with one flat placed in the hundreds column.
Key actions:
Erase the 10 traded rods from the tens space so the layout never shows both the rods and the flat created from them.
Recording the trade:
Increase the flat count by one to match the new visual model, and leave only 0–9 rods behind.
Accuracy check:
Confirm alignment so flats stay in the hundreds column and rods stay centered in the tens column without overlap or drifting.
Repeat as needed:
If another group of 10 rods appears, complete the same exchange again to keep the place value model precise.
Recording the Final Sum and Checking with Place Value
Write the result only after counting all ones, rods, and flats in their correct columns so the recorded digits match the model exactly.
List the number of flats first to form the hundreds digit, then record the rods to form the tens digit, and finish with the ones digit based on the single cubes that remain.
Confirm that no column shows more than 9 items; if a column exceeds 9, regroup and adjust the written number before finalizing.
Compare the written result with the visual layout: each flat equals 100, each rod equals 10, and each cube equals 1. Multiply the counts accordingly and total them to verify the same value appears on the page.
Repeat the check by reversing the process: convert the written number back into flats, rods, and cubes to ensure the place value structure still matches the model without leftover pieces.