Ratios & Proportions BUNDLE: Equivalent & Similar, Scale Factors & Word Problems

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Grumble Services - Montessori-inspired Materials

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Grade Levels

4th - 7th, Homeschool

Subjects

Math, Fractions, Word Problems

Resource Type

Activities, Printables, Montessori

Standards

CCSS6.RP.A.1

CCSS6.RP.A.3a

CCSSMP2

CCSSMP5

CCSSMP8

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Description

Ratios & Proportions BUNDLE: Equivalent & Similar, Scale Factors & Word Problems • VETERAN Montessori-inspired printable Math help (10 pages + key, 40 Word Problem Cards & Steps to SolvingWord Problem Guide):

Explore the basics of ratios and proportions. These pages guide young mathematicians to:

Practice calculating missing antecedents and/or consequents
Discover scale factors & similarity, how to calculate them and how to apply them
Practice converting word problems into simple math problems
Visualize example ratio problems using the Montessori Peg Board material
Use domain-specific phrases and learn Mathematical Terminology such as: Antecedent, consequent, equivalent, similar, scale factors, and proportional.
Steps to Solving Word Problems Guide is also included!

What exactly are ratios and proportions? A ratio is the relative size of two quantities expressed as one divided by the other (a fraction). The first quantity of the ratio is called antecedent whereas the second quantity is called consequent. Practice calculating missing antecedents and/or consequents. Discover scale factors, how to calculate them and how to apply them.

Use domain-specific phrases and learn Mathematical Terminology such as: Antecedent, consequent, equivalent, scale factors, and proportional. Ratio examples using the Montessori Peg Board material are included!

Do you like the Ratios & Proportions BUNDLE: Equivalent & Similar, Scale Factors & Word Problems? Please consider other Fractions, Decimals & Percentages Learning Resources from Grumble!

Money BUNDLE: Decimals, Percents, Ratios, Rounding Rules & Word Problem

Understanding Fractions BUNDLE: Equivalent, Operations, Conversion, Word Problems

Looking for High Quality, Professionally Designed Elementary Learning Resources? Look no further - FOLLOW GRUMBLE! Although the word Montessori is in the title, ANY type of elementary student will benefit from independent, self-directed learning.

As stated in the Teachers Pay Teachers refund policy, “all sales on TpT of digital resources are considered final and nonrefundable.” Please ask any questions you have about this product before purchasing. Thank you! © 2020-2024 Grumble Services, LLC. • All rights reserved.

Dr. Maria Montessori believed the only way our world would find lasting peace was through educating our children. Much of her elementary curriculum was written by her during a period of internment in India during WWII. This time period helped solidify Dr. Montessori’s belief in Peace Education.

Resource Color Guide (just like the Montessori hierarchical colors):

ROOKIE Pages (Green) - Aimed toward early to mid level elementary students.

SEMiPRO Pages (Blue) - Aimed toward mid level elementary students.

VETERAN Pages (Red) - Aimed toward mid to late level elementary students.

But of course, you know the child best, so adjust accordingly.

In the words of Dr. Montessori, "Follow the Child!"

Total Pages

Answer Key

N/A

Teaching Duration

Lifelong tool

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Standards

to see state-specific standards (only available in the US).

CCSS6.RP.A.1

Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. For example, “The ratio of wings to beaks in the bird house at the zoo was 2:1, because for every 2 wings there was 1 beak.” “For every vote candidate A received, candidate C received nearly three votes.”

CCSS6.RP.A.3a

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.

CCSSMP2

Reason abstractly and quantitatively. Mathematically proficient students make sense of quantities and their relationships in problem situations. They bring two complementary abilities to bear on problems involving quantitative relationships: the ability to decontextualize-to abstract a given situation and represent it symbolically and manipulate the representing symbols as if they have a life of their own, without necessarily attending to their referents-and the ability to contextualize, to pause as needed during the manipulation process in order to probe into the referents for the symbols involved. Quantitative reasoning entails habits of creating a coherent representation of the problem at hand; considering the units involved; attending to the meaning of quantities, not just how to compute them; and knowing and flexibly using different properties of operations and objects.

CCSSMP5

Use appropriate tools strategically. Mathematically proficient students consider the available tools when solving a mathematical problem. These tools might include pencil and paper, concrete models, a ruler, a protractor, a calculator, a spreadsheet, a computer algebra system, a statistical package, or dynamic geometry software. Proficient students are sufficiently familiar with tools appropriate for their grade or course to make sound decisions about when each of these tools might be helpful, recognizing both the insight to be gained and their limitations. For example, mathematically proficient high school students analyze graphs of functions and solutions generated using a graphing calculator. They detect possible errors by strategically using estimation and other mathematical knowledge. When making mathematical models, they know that technology can enable them to visualize the results of varying assumptions, explore consequences, and compare predictions with data. Mathematically proficient students at various grade levels are able to identify relevant external mathematical resources, such as digital content located on a website, and use them to pose or solve problems. They are able to use technological tools to explore and deepen their understanding of concepts.

CCSSMP8

Look for and express regularity in repeated reasoning. Mathematically proficient students notice if calculations are repeated, and look both for general methods and for shortcuts. Upper elementary students might notice when dividing 25 by 11 that they are repeating the same calculations over and over again, and conclude they have a repeating decimal. By paying attention to the calculation of slope as they repeatedly check whether points are on the line through (1, 2) with slope 3, middle school students might abstract the equation (𝑦 – 2)/(𝑥 – 1) = 3. Noticing the regularity in the way terms cancel when expanding (𝑥 – 1)(𝑥 + 1), (𝑥 – 1)(𝑥² + 𝑥 + 1), and (𝑥 – 1)(𝑥³ + 𝑥² + 𝑥 + 1) might lead them to the general formula for the sum of a geometric series. As they work to solve a problem, mathematically proficient students maintain oversight of the process, while attending to the details. They continually evaluate the reasonableness of their intermediate results.

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