Divide Decimals
I can divide with decimals by making the divisor a whole number first.
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🎯 Content Objective / Objetivo de contenido
I can divide with decimals by making the divisor a whole number first.
Today's Flow
Total pacing: ~45 min · Progress bar at top tracks your place
LAUNCH
⏱ ~10 min
⏱️ 3 MIN · THINK-PAIR-SHARE
The station has 18.9 kilograms of mineral to divide into 6.3-kilogram pods. Why can't you divide by the decimal 6.3 directly the same way you divide by a whole number?
Check for Understanding #1
Teacher: If >30% thumbs down, re-teach with a fresh example before moving on.
Space Station Pod Splitter
The space station has 18.9 kilograms of a rare mineral sample that must be divided equally among 6.3-kilogram storage pods. How many pods can be completely filled?
Concept Launch
💡 How do you divide with decimals?
Dividing splits a total into equal groups. When you divide by a decimal, you first make the divisor (the number you divide by) a whole number, so the division is easier.
Move the decimal point the same number of places in BOTH the divisor and the dividend; the answer stays the same.
Check for Understanding #2
Teacher: If >30% thumbs down, re-teach with a fresh example before moving on.
Now it's your turn
VOCABULARY
⏱ ~8 min
| Term / Término | Meaning / Significado | Example / Ejemplo | Visual |
|---|---|---|---|
| Dividend Dividendo |
The number you are splitting up in a division problem. El número que estás repartiendo en una división. |
In 8.4 ÷ 2.1 = 4, the dividend is 8.4 — it is the total being split | |
| Divisor Divisor |
The number you split by in a division problem. El número entre el que divides en una división. |
In 8.4 ÷ 2.1 = 4, the divisor is 2.1 — it is the size of each group | |
| Quotient Cociente |
The answer when you divide. La respuesta cuando divides. |
In 8.4 ÷ 2.1 = 4, the quotient is 4 — there are 4 groups | |
| Decimal division División decimal |
Dividing with decimals. First make the number you divide by a whole number. Dividir con decimales. Primero haz entero el número entre el que divides. |
8.4 ÷ 2.1 → multiply both by 10 → 84 ÷ 21 = 4 | |
| Equivalent division División equivalente |
Multiplying both numbers by 10 or 100 gives the same answer. Multiplicar ambos números por 10 o 100 da la misma respuesta. |
7.56 ÷ 0.12 = 756 ÷ 12 = 63 (both multiplied by 100) |
Which Word Fits?
In a division problem, the number being divided is the ___.
Use It In a Sentence
Check for Understanding #3
Teacher: If >30% thumbs down, re-teach with a fresh example before moving on.
Turn & Talk — Launch
The station has 18.9 kilograms of mineral to divide into 6.3-kilogram pods. Why can't you divide by the decimal 6.3 directly the same way you divide by a whole number?
👂 Listen For
Students explain you move the decimal in the divisor to make it whole (6.3 to 63) and move the dividend the same way, naming 18.9 as the dividend and 6.3 as the divisor.
Extend: Estimate how many pods can be filled before computing, then justify. About how many 6-kg groups fit in 18.9 kg?
EXPLORE & PRACTICE
⏱ ~18 min
Visual Modeling Workspace
Use the drawing tray below to annotate the visual model. Teacher: say "Click to reveal" on key steps.
Explore Activity
Complete the table. Rewrite each decimal division as a whole-number division by multiplying both the dividend and divisor by 10 (or 100), then solve.
✍️ Explore Discourse
Why does multiplying both the dividend and divisor by the same power of 10 give you the same quotient?
Whiteboard Moment
Show your work clearly. Be ready to explain your thinking to a partner.
Turn & Talk — Explore
When you divided 18.9 by 6.3, how did you use equivalent division to make the divisor a whole number?
👂 Listen For
Students rewrite 18.9 ÷ 6.3 as 189 ÷ 63 = 3, explaining moving both points one place keeps the division equivalent, so 3 pods are filled.
Extend: Why does moving BOTH decimal points the same number of places keep the answer the same? Justify with what you know about equivalent fractions.
Practice Check A
A water tank holds 19.2 liters. It is poured into bottles that each hold 1.6 liters. How many bottles can be filled?
✍️ Show Your Work
Explain why your answer is correct using today's vocabulary.
Practice Check B
What is 14.4 ÷ 1.2?
✍️ Show Your Work
Explain why your answer is correct using today's vocabulary.
Ratio Table Builder
Fill the ratio table. Each row must be equivalent.
| Factor | A | B |
|---|---|---|
| ×1 | ||
| ×2 | ||
| ×3 |
✍️ Justify Your Thinking
Sort: should you multiply both numbers by 10 or by 100 to make the divisor a whole number?
A classmate turned in the work below. One step has a mistake. Read every step, find it, name it, and fix it.
Choose ONE option to show what you know — then do it in the workspace below.
Use evidence from today's lesson to complete each frame.
Today's key idea is: "Move the decimal point the same number of places in BOTH the divisor and the dividend; the answer stays the same." — and it works because ___.
Because Dividend means ___, but a tricky part is ___, so I have to ___.
A common mistake with Dividend is ___. It happens because ___, and the fix is ___.
I can prove my answer is correct by ___, using Divisor to check my work.
✍️ TWR · WRITE 3 SENTENCES · 7 MIN
Move the decimal point the same number of places in BOTH the divisor and the dividend; the answer stays the same. because ___
Move the decimal point the same number of places in BOTH the divisor and the dividend; the answer stays the same. but ___
Move the decimal point the same number of places in BOTH the divisor and the dividend; the answer stays the same. so ___
🌱 TWR · GROW THE KERNEL · 6 MIN
Answer these to add detail
Sentence starters (tap to use)
Student Workspace
Complete the table. Rewrite each decimal division as a whole-number division by multiplying both the dividend and divisor by 10 (or 100), then solve.
| Column A | Column B |
|---|---|
✏️ Sketch Your Strategy
Differentiation Paths
Step-by-step with a worked model and sentence frames.
What is 14.4 ÷ 1.2?
Core practice aligned to the standard.
Extension with error analysis or multi-step reasoning.
Partner Activity
Work with your partner on the practice problems at your differentiation path level. Explain each step using math vocabulary.
Check for Understanding #4
Teacher: If >30% thumbs down, re-teach with a fresh example before moving on.
Real-World Connection
🌍 Math in the Wild
A ribbon is 16.8 feet long. You need to cut it into pieces that are each 2.4 feet long for a craft project.
✍️ Connection Reasoning
How does decimal division help you figure out how many pieces you can cut?
I can cut ___ pieces because 16.8 ÷ 2.4 = ___.
Turn & Talk — Connect
The station has 22.5 meters of oxygen tubing, cut into hoses that are each 1.5 meters long. How does decimal division tell you how many hoses you can make?
👂 Listen For
Students rewrite 22.5 ÷ 1.5 as 225 ÷ 15 = 15, so 15 hoses can be made with none left over.
Extend: How can you check that 15 hoses is correct without redividing? Show the check.
CLOSURE & REFLECT
⏱ ~8 min
Today I learned that ___ because ___.
One thing I am still not sure about is ___.
What is 19.2 ÷ 0.8?
Bonus Exit Check
What is 3.78 ÷ 0.6?
✍️ Show Your Work
Explain why your answer is correct using today's vocabulary.
Reflection & Self-Assessment
Continue Learning
Launch the Full Interactive Activity
Students continue practice in the HTML lesson engine with auto-check, hints, and differentiation.
Family Connection
Share tonight's family homework and discuss one vocabulary word at home.
Open Family Homework ↗Teacher Notes
⏱️ Pacing Guide
- Launch & vocab: 12 min
- I Do / We Do / You Do: 15 min
- Explore & practice: 15 min
- Connect & closure: 8 min
Total: ~45 min
🎯 Listen For · Common Errors
• Students explain you move the decimal in the divisor to make it whole (6.3 to 63) and move the dividend the same way, naming 18.9 as the dividend and 6.3 as the divisor.
• Students rewrite 18.9 ÷ 6.3 as 189 ÷ 63 = 3, explaining moving both points one place keeps the division equivalent, so 3 pods are filled.
• Students rewrite 22.5 ÷ 1.5 as 225 ÷ 15 = 15, so 15 hoses can be made with none left over.
• Students explain that a whole-number divisor lets them divide normally, and equivalent division keeps the quotient the same while removing the decimal from the divisor.
Common mistake: A common mistake in Divide Decimals is skipping the key idea: "Move the decimal point the same number of places in BOTH the divisor and the dividend; the answer stays the same." — always check your work against this rule before you submit.
Answer Key (Teacher Appendix)
Hide this slide during presentation or move to the end of your copy.
✓ Practice 1: 12 bottles — 19.2 ÷ 1.6: multiply both by 10 → 192 ÷ 16 = 12 bottles.
✓ Practice 2: 12 — Multiply both by 10: 144 ÷ 12 = 12.
✓ Practice 3: 6.3 — Multiply both by 10: 37.8 ÷ 6 = 6.3.
✓ Practice 4: 12 — 8.4 ÷ 0.7 = 84 ÷ 7 = 12.
✓ Exit ticket: 24 — Multiply both by 10: 192 ÷ 8 = 24.