MATH-101 · MODULE 02

Numbers Tell How Many

Use ten as a structure to connect collections, words, numerals, and positions through 20.

A five-hour foundations course

Build number ideas you can see, say, check, and use.

These lessons are deliberately paced. Start with the welcome dialogue, work through the visible model and guide thinking in each cycle, then use the practice question as a check—not as the lesson itself.

Restoring this module…

Before you begin

Guided conversation

Read these three short cards before the first practice question. They tell you what will happen, why it matters, and how to use support.

You already know that a numeral names a quantity. Now you will make that connection flexible. A numeral such as 14 is not two separate digits to memorize; it can describe one group of ten and four more, fourteen marks, a place on a number line, or a spoken number name.

This module asks you to move among those representations. You will see a collection, predict its value, organize it around a ten, and connect it to a numeral and a number word. The goal is to recognize a number even when its picture, color, position, or arrangement changes.

You will not be expected to guess. First, the guide shows how to use a ten-frame, bundle, or drawing. Then you try one closely related task, explain your choice, and use that explanation on a new example. When a task is difficult, choose a support and keep the quantity visible instead of hiding it behind a rule.

Conversation 1 of 5

Anchor

Reconnect to a known quantity

Learning target

Use ten as a familiar anchor for larger collections.

Teach the idea

Ten is useful because it can be seen as one complete frame or bundle. When you meet 13, you do not need to see thirteen unrelated marks. You can see one ten and three more. That structure lets you recognize and check the amount efficiently.

See the model

Model: [●●●●● ●●●●●] + ●●● = 10 + 3 = 13.

Guide thinking

Teacher thinking: “I see a full ten first. Then I count only the extra ones.”

Connected practice

Read one ten and extras

One full ten-frame and 4 extra dots represent which number?

Learner conversation

Pause and explain

Use one of these prompts to explain the idea in your own words. You can keep a private note if that helps you remember a strategy.

  1. Which representation made this number easiest to see, and what feature helped you?
  2. Explain how 14 can be shown as one ten and four ones without becoming a different number.
  3. How would you check that a new picture still represents the same numeral?