MA.6.AR.3.4

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Apply ratio relationships to solve mathematical and real-world problems involving percentages using the relationship between two quantities.

Examples

Gerald is trying to gain muscle and needs to consume more protein every day. If he has a protein shake that contain 32 grams and the entire shake is 340 grams, what percentage of the entire shake is protein? What is the ratio between grams of protein and grams of non-protein?

Clarifications

Clarification 1: Instruction includes the comparison of begin mathsize 12px style fraction numerator p a r t over denominator w h o l e end fraction end styleto begin mathsize 12px style fraction numerator p e r c e n t over denominator 100 end fraction end style in order to determine the percent, the part or the whole.
General Information
Subject Area: Mathematics (B.E.S.T.)
Grade: 6
Strand: Algebraic Reasoning
Standard: Understand ratio and unit rate concepts and use them to solve problems.
Date Adopted or Revised: 08/20
Status: State Board Approved

Related Courses

This benchmark is part of these courses.
1205010: M/J Grade 6 Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1205020: M/J Accelerated Mathematics Grade 6 (Specifically in versions: 2014 - 2015, 2015 - 2020, 2020 - 2022, 2022 and beyond (current))
1204000: M/J Foundational Skills in Mathematics 6-8 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
7812015: Access M/J Grade 6 Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current))

Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.
MA.6.AR.3.AP.4: Calculate a percentage of quantity as rate per 100 using models (e.g., percent bars or 10 × 10 grids).

Related Resources

Vetted resources educators can use to teach the concepts and skills in this benchmark.

Educational Game

Estimator Quiz:

In this activity, students are quizzed on their ability to estimate sums, products, and percentages. The student can adjust the difficulty of the problems and how close they have to be to the actual answer. This activity allows students to practice estimating addition, multiplication, or percentages of large numbers. This activity includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the java applet.

Type: Educational Game

Formative Assessments

Finding the Whole:

Students are asked to find the whole given a part and a percent.

Type: Formative Assessment

Homework Time:

Students are asked to convert a given rate to an equivalent rate out of 100.

Type: Formative Assessment

Lesson Plans

Fast Food Frenzy:

In this activity, students will engage critically with nutritional information and macronutrient content of several fast food meals. This is an MEA that requires students to build on prior knowledge of nutrition and working with percentages.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

Type: Lesson Plan

Scuba Diving Mask Search:

This MEA asks the students to decide which company would be the “best and the worst” to use to purchase scuba diving masks for Tino’s Scuba Diving School to provide to their diving certification students. Furthermore, the students are asked to suggest which type of scuba diving masks should be purchased in term of multiple panes – single pane mask, double pane mask, full face mask, skirt color, fit, durability, and price. Students must provide a "top choice" scuba diving mask to the company owner and explain how they arrived at their solution.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

Type: Lesson Plan

Perspectives Video: Professional/Enthusiasts

Mathematical Thinking for Ceramic 3D Printing:

In this video, Matthew Lawrence describes how mathematical thinking is important for 3D printing with ceramic materials.

Download the CPALMS Perspectives video student note taking guide.

Type: Perspectives Video: Professional/Enthusiast

Coffee Mathematics: Ratios and Total Dissolvable Solids:

Math - the secret ingredient for an excellent cup of coffee!

Download the CPALMS Perspectives video student note taking guide.

Type: Perspectives Video: Professional/Enthusiast

Teaching Idea

Calculating Sharks-SeaWorld Classroom Activity:

  • Given data about sharks and the amount of food they eat, students will be able to solve for the unknown in percentage problems.
  • Given information about a shark's growth, students will be able to graph coordinates and interpret a linear graph.
  • Given the conversion factor, students will be able to convert from metric to English units.

Type: Teaching Idea

Tutorials

Finding a Percent:

In the video, we find the percent when given the part and the whole.

Type: Tutorial

Percent of a Whole Number:

This video demonstrates how to find percent of a whole number.

Type: Tutorial

Percent Word Problem:

You're asked to find the whole when given the part and the percent.

Type: Tutorial

Percent Word Problem:

Use long division to find the percent in this tutorial.

Type: Tutorial

Converting Decimals to Percents:

This video demonstrates how to write a decimal as a percent.

Type: Tutorial

The Meaning of Percent:

This video deals with what percent really means by looking at a 10 by 10 grid.

Type: Tutorial

The Meaning of Percent over 100:

This video demonstrates a visual model of a percent greater than 100.

Type: Tutorial

Video/Audio/Animation

Understanding Percentages:

Percentages are one method of describing a fraction of a quantity. the percent is the numerator of a fraction whose denominator is understood to be one-hundred.

Type: Video/Audio/Animation

STEM Lessons - Model Eliciting Activity

Fast Food Frenzy:

In this activity, students will engage critically with nutritional information and macronutrient content of several fast food meals. This is an MEA that requires students to build on prior knowledge of nutrition and working with percentages.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

Scuba Diving Mask Search:

This MEA asks the students to decide which company would be the “best and the worst” to use to purchase scuba diving masks for Tino’s Scuba Diving School to provide to their diving certification students. Furthermore, the students are asked to suggest which type of scuba diving masks should be purchased in term of multiple panes – single pane mask, double pane mask, full face mask, skirt color, fit, durability, and price. Students must provide a "top choice" scuba diving mask to the company owner and explain how they arrived at their solution.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

MFAS Formative Assessments

Finding the Whole:

Students are asked to find the whole given a part and a percent.

Homework Time:

Students are asked to convert a given rate to an equivalent rate out of 100.

Student Resources

Vetted resources students can use to learn the concepts and skills in this benchmark.

Educational Game

Estimator Quiz:

In this activity, students are quizzed on their ability to estimate sums, products, and percentages. The student can adjust the difficulty of the problems and how close they have to be to the actual answer. This activity allows students to practice estimating addition, multiplication, or percentages of large numbers. This activity includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the java applet.

Type: Educational Game

Tutorials

Finding a Percent:

In the video, we find the percent when given the part and the whole.

Type: Tutorial

Percent of a Whole Number:

This video demonstrates how to find percent of a whole number.

Type: Tutorial

Percent Word Problem:

You're asked to find the whole when given the part and the percent.

Type: Tutorial

Percent Word Problem:

Use long division to find the percent in this tutorial.

Type: Tutorial

Converting Decimals to Percents:

This video demonstrates how to write a decimal as a percent.

Type: Tutorial

The Meaning of Percent:

This video deals with what percent really means by looking at a 10 by 10 grid.

Type: Tutorial

The Meaning of Percent over 100:

This video demonstrates a visual model of a percent greater than 100.

Type: Tutorial

Video/Audio/Animation

Understanding Percentages:

Percentages are one method of describing a fraction of a quantity. the percent is the numerator of a fraction whose denominator is understood to be one-hundred.

Type: Video/Audio/Animation

Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this benchmark.