6th Grade Fractions, Decimals & Percents – Notes

Students convert between fractions, decimals and percents and solve percent problems using guided notes, worked examples and practice.
Grades
Grade 6
Pages
38
File type
PDF
Answer key
Included

Updated Aug 08, 2022

Subject
Math, Percentages
Topic
Fractions Decimals Percents, Conversions
Resource types
Worksheets
Answer key
Included
Standards
6.RP.A.3

Product description

From the author

The 6th Grade Fractions, Decimals + Percents Student Guided Notes is a great packet to hand out to students during your math units for fractions, decimals and percents.

This is a great way for students to keep track of their learning.

These notes are detailed with graphic organizers and fill in the blanks.

Answer keys are included.

In the classroom

Teaching tips & learning objectives

Learning objectives

  • Convert a decimal to a fraction and a fraction to a decimal using a place-value chart or division.

  • Convert a percent to a fraction and a fraction to a percent.

  • Use a percent proportion to find an unknown part, whole, or percent.

Teaching tips

  • Print the notes as full pages or two-per-page for interactive notebooks, as the file's own 'How to Use' page suggests.

  • Use the completed answer-key version (pages 22-38) as a projected teacher copy while students fill in their own blank version.

  • Work through the Percent Proportions lesson's diagram (part/whole = percent/100) before assigning that lesson's practice, since later practice problems reuse the same proportion setup.

Skills covered

  • Decimal-fraction conversion — students use a place-value chart or long division to convert between decimals and fractions.

  • Percent-fraction and percent-decimal conversion — students move between all three representations of the same value.

  • Percent of a number — students calculate a percent of a given quantity.

Good to know

Questions teachers ask about this resource

How does the Percent Proportions lesson set up a problem like '15 is 30% of what number'?

Students fill in a part/whole = percent/100 proportion (15/whole = 30/100), cross-multiply, and solve for the unknown whole, which works out to 50.

How does each lesson introduce its objective?

Each lesson opens with an 'I can' statement describing the skill being taught, such as 'I can use a percent proportion to solve percent problems,' before moving into worked examples and a practice section.

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Curriculum

Standards, concepts & topics

Standards

  • 6.RP.A.3 — Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. a. Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios. b. Solve unit rate problems including those involving unit pricing and constant speed. For example, if it took 7 hours to mow 4 lawns, then at that rate, how many lawns could be mowed in 35 hours? At what rate were lawns being mowed? c. Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent. d. Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.

Core concepts

  • Decimal-fraction conversion

  • Percent conversion

  • Percent of a number

  • Percent proportions

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