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Percent Equations Guided Notes + Homework Set

Help students turn percentage questions into equations. Guided notes lead into finding a percentage of a number, the whole amount, or the percentage itself.
Grades
Grades 6–7
Pages
6
File type
PDF
Answer key
Included

Updated Sep 27, 2026

Subject
Math
Topic
Percent equations, Part whole percent
Answer key
Included
Standards
6.RP.A.3

Product description

From the author

Use two pages of guided notes to connect percent calculations with equations and compare equation and proportion methods. An eleven-item assignment practices finding a part, whole or percent, including values above 100%.

The three PDFs contain six pages total: two notes pages, one assignment and three completed key pages. Calculator directions are included. Use the notes to model the setup, then check both equations and answers.

In the classroom

Teaching tips & learning objectives

Learning objectives

  • Convert a percent to a decimal, including values above 100% such as 158%

  • Find a percent of a number by multiplying, and explain why "of" signals multiplication

  • Write and solve an equation to find the whole when a part and a percent are known, as in "13 is 25% of what number?"

Teaching tips

  • Both the notes and the assignment say to use a calculator, so check the equation setup as well as the calculated answer

  • Teach the notes before the assignment: the assignment opens directly on percent-of items that the notes' "OF means TIMES" section is written to unlock

  • The proportion-versus-equation page is the natural place to slot in students who were taught percents as proportions last year, since both methods are worked on the same question

Skills covered

  • Percent of a number — students compute 24% of 50, 9% of 75, 108% of 32 and 6.5% of 40, with the notes justifying multiplication rather than asking for it on trust.

  • Percent-to-decimal conversion — a recap strip converts 15%, 67%, 8%, 158%, 40% and 4%, deliberately including a value above 100%.

  • Choosing a method — one notes page runs the proportion method and the equation method on the identical question so students can compare the two side by side.

Good to know

Questions teachers ask about this resource

Is a calculator assumed?

Yes. Both the assignment and the notes carry the direction "Use a calculator", including on the six-item practice block in the notes, so the work is about setting up the right equation rather than about doing the arithmetic by hand.

How far past 100% do the values go?

Well past it, and on purpose. The assignment includes 108% of 32, the notes ask for 136% of 75, the decimal recap includes 158%, and "What percent of 40 is 62?" resolves above 100% too — so students meet percents greater than the whole in all three question shapes.

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Curriculum

Standards, concepts & topics

Standards

  • 6.RP.A.3

Core concepts

  • Percentages

  • Percent equations

  • Proportions

  • Decimals

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