7th grade proportional relationships

Quick answer

In 7th grade (ages 12–13), students learn to find unit rates, spot proportional relationships in tables and graphs, and write equations like y = kx. Lessons come from Khan Academy, Math with Mr. J and Math Antics' "Ratios And Rates". Loop one worked example with A–B, slow it to 0.75×, and repeat it until it clicks.

Play all on repeat

Videos in this playlist

  1. 1Math Antics - Ratios And RatesMath Antics - Ratios And RatesmathanticsPlay from here Loop
  2. 2Rates and Unit Rates | Math with Mr. JRates and Unit Rates | Math with Mr. JMath with Mr. JPlay from here Loop
  3. 3Unit Rates with Decimals | Math with Mr. JUnit Rates with Decimals | Math with Mr. JMath with Mr. JPlay from here Loop
  4. 4Solving Unit Rate Word Problems | Math with Mr. JSolving Unit Rate Word Problems | Math with Mr. JMath with Mr. JPlay from here Loop
  5. 5Determining rates with fractions | 7th grade | Khan AcademyDetermining rates with fractions | 7th grade | Khan AcademyKhan AcademyPlay from here Loop
  6. 6Rate problem using fractions | 7th grade | Khan AcademyRate problem using fractions | 7th grade | Khan AcademyKhan AcademyPlay from here Loop
  7. 7Math Antics - ProportionsMath Antics - ProportionsmathanticsPlay from here Loop
  8. 8Introduction to proportional relationships | 7th grade | Khan AcademyIntroduction to proportional relationships | 7th grade | Khan AcademyKhan AcademyPlay from here Loop
  9. 9Introduction to proportional relationships | 7th grade | Khan AcademyIntroduction to proportional relationships | 7th grade | Khan AcademyKhan AcademyPlay from here Loop
  10. 10Determining if Two Ratios are Proportional (3 Ways) | Proportions | Math with Mr. JDetermining if Two Ratios are Proportional (3 Ways) | Proportions | Math with Mr. JMath with Mr. JPlay from here Loop
  11. 11Identifying a proportional relationship from a table (example) | 7th grade | Khan AcademyIdentifying a proportional relationship from a table (example) | 7th grade | Khan AcademyKhan AcademyPlay from here Loop
  12. 12Constant of proportionality from tables | 7th grade | Khan AcademyConstant of proportionality from tables | 7th grade | Khan AcademyKhan AcademyPlay from here Loop
  13. 13Identifying proportional relationships from graphs | 7th grade | Khan AcademyIdentifying proportional relationships from graphs | 7th grade | Khan AcademyKhan AcademyPlay from here Loop
  14. 14How to visually identify proportional relationships using graphs | 7th grade | Khan AcademyHow to visually identify proportional relationships using graphs | 7th grade | Khan AcademyKhan AcademyPlay from here Loop
  15. 15Constant of proportionality from graph | 7th grade | Khan AcademyConstant of proportionality from graph | 7th grade | Khan AcademyKhan AcademyPlay from here Loop
  16. 16Interpreting graphs of proportional relationships | 7th grade | Khan AcademyInterpreting graphs of proportional relationships | 7th grade | Khan AcademyKhan AcademyPlay from here Loop
  17. 17Identifying the constant of proportionality from equation | 7th grade | Khan AcademyIdentifying the constant of proportionality from equation | 7th grade | Khan AcademyKhan AcademyPlay from here Loop
  18. 18Equations of proportional relationships | 7th grade | Khan AcademyEquations of proportional relationships | 7th grade | Khan AcademyKhan AcademyPlay from here Loop
  19. 19Writing an equation for a proportional relationship (example) | 7th grade | Khan AcademyWriting an equation for a proportional relationship (example) | 7th grade | Khan AcademyKhan AcademyPlay from here Loop
  20. 20Comparing constants of proportionality | 7th grade | Khan AcademyComparing constants of proportionality | 7th grade | Khan AcademyKhan AcademyPlay from here Loop
  21. 21Constant of proportionality in both directions | 7th grade math (IM® v.360 aligned) | Khan AcademyConstant of proportionality in both directions | 7th grade math (IM® v.360 aligned) | Khan AcademyKhan AcademyPlay from here Loop
  22. 22Setting up proportions to solve word problems | 7th grade | Khan AcademySetting up proportions to solve word problems | 7th grade | Khan AcademyKhan AcademyPlay from here Loop
  23. 23How to Solve Proportions | Math with Mr. JHow to Solve Proportions | Math with Mr. JMath with Mr. JPlay from here Loop
  24. 24Ratios and Unit Rate Examples and Word Problems!Ratios and Unit Rate Examples and Word Problems!Mashup MathPlay from here Loop

What should a 7th grader be able to do after this unit?

They should compute unit rates, including rates with fractions, decide whether two quantities are proportional from a table or graph, find the constant of proportionality k, and write an equation such as y = kx. The playlist starts with rates, then tables, graphs, equations and word problems.

How does an A–B loop help with proportional relationships?

Many Khan Academy videos here are short single examples. Loop the moment a teacher reads k from a graph or table, and it replays on its own. Save each example on keys 1–9, and use Stop after N loops to keep a review session short.

Frequently asked questions

Is this the same 7th grade unit every school teaches?

Grade levels vary by country and school. In the US, proportional relationships are usually covered in 7th grade (ages 12–13). Elsewhere the same topic may appear a year earlier or later, so use the playlist wherever it fits.

Where should a student start?

Start with Math Antics' "Ratios And Rates" and Mr. J's unit rate lessons, then Khan Academy's "Introduction to proportional relationships". Finish with the word problem and proportion-solving videos at the end.