Grade 3 · Mathematics · Unit 1 of 6

Number Sense & Place Value

0 of 5 learning steps explored

Your learning goal

Use place value, rather than the number of visible nonzero digits, to restore the depot.

Session practice

What counts as success?

Build the label 32,406. Use standard place-value digits: no more than 9 pieces of each kind.
Arrange shipment counts from least to greatest.
A label reads 18,275. Which estimate to the nearest hundred belongs on its cart?
Answer at least 4 of 5 learning-check questions correctly.

Mission choices and check answers are measured together. Hints, models, bigger text, and other optional supports never reduce your reward.

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Lesson steps, guided practice, written responses, and reflections stay in this page session. Copy unrestricted responses or download protected responses before leaving. No name is needed for guest practice.

Other lesson steps and directions

Your steps for this lesson

Have paper and a pencil ready. You can ask an adult to read directions aloud.

Use the materials named in each activity. Ask your teacher or adult to help with supplies, partners, or real-world activities. Follow the activity’s safety directions.

Learn: Read the lesson and worked model (an example showing the steps). Try the “Pause and try it” task, then choose “I explored the lesson. Let’s try together.”
Try together: Choose an answer, explain your thinking aloud or on paper, then choose “Check my thinking.” Read the feedback and revise if needed.
Practice: Answer the independent questions. Write your response in the response box or your notebook. Review the listed criteria, then select the self-review checkbox.
Play the mission: Use the on-screen buttons. If movement controls are shown, you may use those instead. Choose “Check my choice” or “Check my model,” use the feedback, and complete every checkpoint.
Learning check: Answer every question, then choose “See my learning check.” Read the explanations and revisit any ideas you missed.

The five-step counter shows steps explored. It is not a grade or a class-assignment submission. Follow your teacher’s directions for sharing notebook, speaking, or written work.

Open the lesson and source text for reference

Our base-ten system groups ten ones into one ten, ten tens into one hundred, and ten hundreds into one thousand. A zero keeps an empty place visible. In 24,306, the 3 represents 300, not 3. Expanded form adds its place values: 20,000 + 4,000 + 300 + 0 + 6. Expanded notation shows each digit times its place value: (2 × 10,000) + (4 × 1,000) + (3 × 100) + (0 × 10) + (6 × 1). Both equal 24,306. Zero terms may be left out of either sum, but the numeral still needs its zero.

The Number Depot build uses five places, from ones through ten thousands, with at most nine pieces per place. Its largest possible label is 99,999. In the linked Build and exchange place-value parts lesson, ten 10,000 cards trade for one 100,000 card. That exchange uses a sixth place; it is not another piece to find in this mission.

To compare, start at the largest place and move right until the digits differ. For rounding to hundreds, find the hundred below and above the number. The midpoint is 50 after the lower hundred. Choose the closer endpoint; at the midpoint, choose the higher one.

Which delivery is larger: 24,306 or 24,360?

Both numbers have 2 ten thousands, 4 thousands, and 3 hundreds.
Compare tens: 0 tens is less than 6 tens. Therefore 24,306 < 24,360.
24,306 is between 24,300 and 24,400. It is 6 from 24,300 and 94 from 24,400.

Play with the idea

Number Depot

Learn this: Build a number by giving each digit its own place.

0 of 3 checkpoints complete

Checkpoint 1 of 3

Build the label 32,406. Use standard place-value digits: no more than 9 pieces of each kind.

Tap a rack to pick up one block. Put one back whenever you want to revise. Build a total of 32406 items while following the quantities in the challenge.

Play area

Tap a rack to walk over and pick up one block. You choose every pickup.

Tap a rack after you start. Each tap picks up one block.

0/5 places visited

Choose a rack on the map, or use the labeled pickup buttons below.

0 of 3 checkpoints completed. No timer; explore at your pace.

Stay on the cargo platform. Your labeled controls below make the same changes as the racks; no movement or speed test is required.

Sound settings · close to mute

Volume / Volumen

Soft footsteps, wooden blocks and a short checkpoint celebration. Optional and off to start; closing settings, pausing or leaving mutes all sound. / Sonido opcional; se detiene al pausar o salir.

Use buttons instead of movement

Pick up one block at a time. These buttons change the same shipment as the racks.

Your construction

0 / 32406 items

Ten thousand× 0

Thousand× 0

Hundred× 0

Ten× 0

One× 0

See the math in your shipment

What your pieces are worth

Ten thousand: 0 pieces = 0
Thousand: 0 pieces = 0
Hundred: 0 pieces = 0
Ten: 0 pieces = 0
One: 0 pieces = 0

Your expanded form: 0 + 0 + 0 + 0 + 0 = 0

Your expanded notation: (0 × 10,000) + (0 × 1,000) + (0 × 100) + (0 × 10) + (0 × 1) = 0

The packages are labeled values, not equal amounts. Count × package value gives each part. This five-place rack stops at 99,999; the linked exchange lesson uses a hundred-thousand card for 100,000.

Read across the places. Does each part match the shipment label?

See an example

Help, story and checkpoint path

The depot labels were mixed up. Rebuild a shipment label and arrange the deliveries.

1Ten thousand (10000 items each)
2Thousand (1000 items each)
3Hundred (100 items each)
4Ten (10 items each)
5One (1 items each)

LEARN · APPLY · ADVANCE

Your learning quest

Use place value, rather than the number of visible nonzero digits, to restore the depot.

✦ Explorer

0/3 mission checkpoints · View your path

○ Build the label 32,406. Use standard place-value digits: no more than 9 pieces of each kind. — not complete
○ Arrange shipment counts from least to greatest. — not complete
○ A label reads 18,275. Which estimate to the nearest hundred belongs on its cart? — not complete

Explorer → Investigator → Strategist → Mission Finisher. Your rank follows these checkpoints, not speed or other students. It can change when you revise or restart. It is separate from academic mastery.

Your next move: Build the label 32,406. Use standard place-value digits: no more than 9 pieces of each kind.

This path follows your mission responses. Check the private progress panel for saving status; guest work lasts only for this visit. The learning check is separate.

Using power-ups never lowers your rank or awards a correct answer. / Usa ayuda sin perder tu rango.

Your learning path.

Learn first or practice in Number Depot