5th Grade · Week 1 of 36 · Math
Decimal place value
1. Hook
- Hear the goal. Watch one worked example (pictures + steps).
- Try the interactive lab on this page. Move something. Read what happened.
- Guided fills, then independent practice, then the scored quiz.
- Teach it back: one example + the usual mistake.
There is no classroom teacher. This page teaches you. The lab is on this site — not an outside classroom. Stay on this page. The pictures, the game, and Your work are the lesson.
Tenths, hundredths, thousandths: decimals let us measure super precisely! Let's master place value.
Then: lab → guided → quiz → teach it back. The lab is the lesson, not a decoration.
2. Teach
Read, write, and compare decimals to thousandths using base-ten numerals, number names, and expanded form; understand each place is 10 times the place to its right (CCSS 5.NBT.1, 5.NBT.3).
Standards alignment: CCSS.MATH.CONTENT.5.NF (domain-level; works with any state’s standards)
STEM this week is Decimal place value: write the number, label the unit, check a second way.
- Places after the decimal point: tenths (0.1), hundredths (0.01), thousandths (0.001).
- Each place is 10 times the place to its right and 1/10 of the place to its left.
- Expanded form: 3.472 = 3 + 0.4 + 0.07 + 0.002. Word form: three and four hundred seventy-two thousandths.
- Compare by lining up decimal points; 0.5 = 0.50 = 0.500.
Olympic times are measured in hundredths of a second: a 9.58-second sprint is faster than 9.63.
Which is bigger, 0.7 or 0.65? Write 0.70 vs 0.65: 0.70 is bigger.
- 3.472: 3 ones, 4 tenths, 7 hundredths, 2 thousandths.
- Compare 0.7 and 0.65 by adding a zero.
- 9.58 is less than 9.63, so it's faster.
Find 5 decimals at home (prices, measurements) and write each in expanded and word form.
Thinking 0.65 is bigger than 0.7 because 65 is bigger than 7.
Money, sports times, and medicine doses use decimals.
No classroom teacher today — this page is the lesson. A grown-up sits nearby. Model once, wait 10–20 seconds, then prompt. A grown-up sits nearby. Model once, wait, then let the child try.
See it · try it (interactive lab)
Do this lab on Life Academy. Move something. Read what changed — then quiz.
Your work — type it here
Type the answer. Then tap Check my work. This is the assignment — not optional reading.
3. Guided practice
Try these with me — type the missing word, then check.
Reveal the thinking
Line up decimal points; each place is 10 times the next.
4. Independent practice
Work the set. Check when finished — this is practice (mastery quiz is next).
5. Mastery check
Scored quiz — results save to your gradebook.
Show the math — don't only tap a letter
The lab is the worked example you can move. Then the quiz checks that you own Decimal place value.
Classroom · Gradebook · Transcripts
Stay on this page. The studio, the lab, pictures, and Your work are the lesson.
6. Reflection / teach-back
Teach-back: Explain Decimal place value in your own words. Give one example and name the usual mistake.