Measuring with a ruler, starting at zero, in inches and centimeters, and choosing the unit that fits. Comparing lengths and showing them on a graph. Telling time to the hour, the half hour and five minutes, and knowing a.m. from p.m. Pennies, nickels, dimes, quarters and dollars, counting a handful of coins biggest first, and small money problems. Study cards, hints, a practice quiz at three levels, and four workshop activities that check themselves.
Lined up at the 1, this pencil looks five inches long. It is not five inches long.
Pick the unit, start at zero, count, write it down. Those four steps work on a ruler, on a clock face and on a handful of coins.
Two things people get wrong
⚠️People often think…
The minute hand pointing at the 4 means four minutes.
It means twenty. Each number on the clock face is worth five minutes to the minute hand, so the 4 is 4 × 5 = 20. The same hand, the same number, two completely different jobs.
Minute hand: count by fives.
⚠️People often think…
The nickel is bigger than the dime, so it is worth more.
The dime is smaller and worth twice as much. Size tells you nothing about value — and neither does how many coins you are holding. Three coins can be 3 cents or 75 cents.
Count the value, never the coins.
Unit, zero, count, write
1Watch one
How long is the pencil?
Line the end up with zero.
Count the spaces, not the marks.
One, two, three, four.
4 inches. Write the unit too.
2Do one with me
The hour hand is almost touching the 3. The minute hand points at the 8.
The hour has not arrived yet, so the hour is
The 8 for the minute hand means
So the time is
💬One sentence, then you move on
Why does a ruler have to start at zero and not at one?
3Try one
You have a dime, a nickel and a penny. How many cents is that?
I want a hint first
Start with the biggest value: 10, then 15, then 16. Count the worth, not the coins.
Where this goes
Where this lives
Knowing if you can afford it, catching the bus, cutting a board to the right length.
What this feeds
Next unit is shapes and equal shares — measuring what a shape IS, not how long it is.
One card at a time — tap “Show me” to check yourself, then Next. Start at Foundation; when those feel easy, climb.
Helpful Hints
🕔 Reading a clock to five minutes — the three steps
Find the SHORT hand → the hour is the number it has already passed (between 7 and 8 means 7) → find the LONG hand → count by fives from the 12 to the number it points at (on the 7: 5, 10, 15, 20, 25, 30, 35) → write hour, colon, minutes: 7:35. Then ask: morning or afternoon? a.m. or p.m.
Short hand, hour passed. Long hand, count by fives.
📏 The whole topic in one idea
Measuring is counting units, starting at zero. A ruler counts inches or centimeters from 0. A clock counts minutes from the 12, five for each number. Coins count cents — 1, 5, 10, 25 — and you count the biggest first. Every time, pick the unit, start at zero, count, and write the number with its unit.
Pick the unit, start at zero, count, write it down.
⚠️ Traps the test loves
Starting the ruler at 1 instead of 0. A 4-inch pencil measured from the 1 mark looks like 5 inches.
Reading the hour as the NEXT number when the hour hand is close to it. At 2:40 the hour hand is almost on 3, but the hour is still 2.
Reading the minute hand as the number it points at: on the 4 is 20 minutes, not 4.
Mixing up quarter past (15 minutes) with a quarter coin (25 cents).
Counting coins instead of their value. A dime, a nickel and a penny are 3 coins but 16 cents.
Thinking a bigger coin is worth more. The nickel is bigger than the dime, but the dime is worth twice as much.
🪙 Coins and clocks — the chart
Thing
Worth
Remember it by
Penny
1¢
copper, the smallest value
Nickel
5¢
thick and big, but only 5
Dime
10¢
the tiniest coin, worth 10
Quarter
25¢
four make a dollar
Dollar
100¢
10 dimes or 4 quarters
Minute hand on the 3
15 minutes — quarter past
3 fives
Minute hand on the 6
30 minutes — half past
6 fives
Minute hand on the 9
45 minutes — quarter to
9 fives
🎯 How the test will ask
A picture of a ruler with an object on it — “how long is it?” Check that it starts at 0.
Two lengths — “how much longer?” Subtract the short one from the long one.
“Which unit would you use?” Small things: inches or centimeters. Big things: feet or meters.
A clock face — “what time is it?” Short hand for the hour it passed, long hand counted by fives.
“a.m. or p.m.?” Before noon is a.m. After noon is p.m.
A handful of coins — “how much?” Biggest first, then count on.
A story with money or lengths — decide: put together, or take away? Then work.
✅ Before the test, can you…
Measure an object with a ruler, starting at 0?
Say which unit fits: inches, feet, centimeters or meters?
Find how much longer one thing is than another?
Read a clock to the hour, the half hour and five minutes?
Say whether a time is a.m. or p.m.?
Name each coin and its value, and count a mixed handful?
Make 25 cents three different ways?
Pick your level
Look back at anything you missed — the hint that appeared is exactly what to reread tonight.
How sure did you feel?
Workshop
Work like a mathematician: read a ruler and a clock, sort handfuls of coins by what they are worth, turn five measurements into a bar graph, then put a whole day in order by the clock. Every activity checks itself, and hints are free.
Your practice never leaves this device. There is no account and no sign-in. Your work is saved in this browser only, and you can erase it whenever you want.
Your practice record — saved on this device
This is your record of the module on screen — it stays here and goes nowhere. Independent means you got it right on the first tap; supported means you got it after the explain-and-retry, or marked ‘I had it’ on a revealed answer. Both count, and neither is a grade. If your teacher asks, copy the row or show them this screen.
Date
—
Topic
—
Level
—
Independent
0 of 0
Supported
0 of 0
Hints used
0
Cards studied
0
Lab
—
Traps met
0
Explained in own words
0
Confidence
—
The answer key is for a teacher: it prints only from here, for the unit on screen. Print the study packet prints the study pages and a blank quiz — never the answers.