This final module is not a surprise marathon of questions. It is a chance to choose strategies on purpose and show how the ideas in this course connect. You will return to quantities, numerals, number lines, part-whole models, and short stories, but the representation will not be announced in advance. Deciding what to use is part of the mathematics.
MATH-101 · MODULE 05
Number Sense Strategy Review
Choose representations, extend to tens and ones, notice errors, and make a next-step plan.
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
Some learners will also extend their reasoning through 100 using tens and ones. A two-digit number is not a pair of unrelated digits: 36 can be three tens and six ones. Grouping by ten gives you a fast way to estimate, compare, and check a larger quantity without losing its meaning.
Work one problem at a time. Before you submit, name the model or strategy you chose and check whether the answer matches the situation. Your final result should show strengths, a small number of specific ideas to revisit, and a clear next practice path. It should never label you as “good” or “bad” at math.
Choose
Choose a starting strategy
Learning target
Select a representation before calculating.
Teach the idea
Mixed problems do not announce their best model. Your first move is to read the relationship: Is this a collection to count, a location to travel, a whole with parts, or a number built from tens? Naming that structure gives you a thoughtful starting point.
See the model
Model: ‘9 in the box, need 15’ suggests a part-whole bar or a number line from 9 to 15.
Guide thinking
Teacher thinking: “I will choose a model because it shows the relationship, not because it is the first one I remember.”
Connected practice
Choose the model
A class has 11 markers and needs 20. Which model would be most useful?
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.
- Which representation did you choose first, and why did it fit this problem better than another one?
- Explain what 36 means in tens and ones, then use that meaning to compare it with another number.
- What was the first sign that an answer or strategy needed checking, and what did you do next?