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All 13 lessons in Ratio

Builds on: NP10

  1. 1. Multi-part Ratios, Contexts, and "For Every" Language

    Write 3-part ratios and apply the "For every ___ there are ___" language stem across different contexts and object types.

  2. 2. Generating Equivalent Ratios via Ratio Tables

    Use ratio tables with scaling arrows (multiplication) to find equivalent ratios and prove equivalence.

  3. 3. Simplest Form with Integers

    Reduce integer ratios to their simplest form using Greatest Common Divisors (GCD) in ratio tables.

  4. 4. Simplest Form with Differing Units

    Simplify ratios that involve different units of measurement (money, metric length, time).

  5. 5. Simplest Form with Decimals and Fractions

    Convert decimal and fractional ratios to their simplest integer form.

  6. 6. Simplest Form with Algebraic Parts

    Simplify ratios containing variables (algebraic parts) by finding common variable factors.

  7. 7. Scale Drawings as Unit Ratios

    Understand map scales (e.g., 1:50,000) as unit ratios and calculate actual real-world distances from map measurements.

  8. 8. Advanced Map Calculations and Straight-Line Distances

    Calculate map-to-real and real-to-map distances, including basic hypotenuse mapping (straight-line distances) using right-angled triangles.

  9. 9. Linking Ratio to Fractions (Part/Whole Relationships)

    Translate a ratio (part:part) into a part/whole fraction using the formula a / (a + b).

  10. 10. Part/Part Fractional Multipliers ("How Many Times Bigger?")

    Write ratios as a/b fractions to determine "how many times bigger" one part is than the other, and apply this multiplier to solve problems.

  11. 11. Finding Unknowns Given One Part

    Use a bar model and a ratio table to find the value of unknown parts when the value of one part is given.

  12. 12. Sharing a Whole Quantity

    Use a bar model and ratio table to share a total given amount into a specified ratio.

  13. 13. Finding Unknowns Given the Difference

    Use a bar model and ratio table to find unknown parts or the whole when the difference between two parts is given.

Unit code NP11