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Lesson 2 of 6
Work · Guided lesson

Use fractions, percentages, and ratios

Convert and compare parts, shares, changes, and scaled quantities in a practical context.

About 34 minutes Finish with a concrete deliverable
TabletClass MathCalculating Wages: The Pay-Rate-Hour TriangleYouTube
Course primer

Calculating Wages: The Pay-Rate-Hour Triangle

From TabletClass Math. Watch here or open it on YouTube .

During the course primer, listen for ideas that change how you approach “Use fractions, percentages, and ratios.” Pause once to capture a useful point, then apply it while producing a conversion and comparison page with four applied examples and written interpretations.
Before you begin

What this lesson is really solving.

Convert and compare parts, shares, changes, and scaled quantities in a practical context. This is lesson 2 because later decisions depend on a conversion and comparison page with four applied examples and written interpretations. The same relationship can be represented as a fraction, decimal, percentage, or ratio depending on the decision. Use your own numbers, files, environment, and constraints so the result survives outside the course.

Why this works

Understand the idea before touching the steps.

The same relationship can be represented as a fraction, decimal, percentage, or ratio depending on the decision.

Do this

Follow these steps in order.

Take the action in each step; then use the deliverable below to prove the lesson is finished.

  1. 1

    Name the whole and the part before choosing a representation.

  2. 2

    Convert one example among fraction, decimal, percentage, and ratio, then explain what stays the same.

  3. 3

    Apply the relationship to a discount, completion share, mixture, quality rate, or change and check the direction of the result.

Worked example

See the standard in context.

Lena records 18 accurate items out of 20 as 90%, then explains that a move from 80% to 90% is a ten-percentage-point increase. The learner saves a conversion and comparison page with four applied examples and written interpretations and notes the evidence or assumption behind the choice so it can be reviewed and improved later.

Quality check

Inspect before you move on.

  • The finished work visibly includes a conversion and comparison page with four applied examples and written interpretations.
  • You tested the work against this common failure: Changing the denominator, confusing percentage points with percent change, or comparing parts from different wholes.
  • Another person could verify this mastery standard: You can state the whole, part, unit, and meaning of the result in plain language.
Make it real

Your deliverable

A conversion and comparison page with four applied examples and written interpretations.

Common mistake

Watch for this

Changing the denominator, confusing percentage points with percent change, or comparing parts from different wholes.

You’re ready when

Prove it—don’t just recognize it.

You can state the whole, part, unit, and meaning of the result in plain language.

Objective evidence · 3 questions

Quick knowledge check

Answer from the lesson—not from confidence alone. Score at least 2 of 3 to unlock completion.

Not yet passed

This curriculum-aligned check is scored automatically and stored with your account when signed in. It is an objective learning signal, but it has not yet been independently validated as a standardized assessment.

1Which action belongs in the recommended process for “Use fractions, percentages, and ratios”?
2Which result is the clearest evidence that this lesson’s work is complete?
3Which choice matches the failure this lesson specifically warns against?
0 of 3 answeredEach question measures the action, evidence, or failure condition taught above.
Useful for this course

Tools, templates, and references

Applied math practice sheetWork through rates, schedules, quantities, charts, and reasonableness checks.
Check current detailsReferences reviewed September 9, 2026. Lesson exercises are editorial synthesis; official rules come from the linked sources.
LINCS — College and Career Readiness StandardsLINCS — Career preparation resource collectionCareerOneStop — Skills assessment
2
One check remains

Pass the knowledge check above first.

Completion unlocks after a score of 2 out of 3. Then confirm that you produced the lesson deliverable.

Go to the knowledge check