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Ratios and Proportions Math Unit | Proportional Reasoning Problem Solving
Ratios and Proportions Math Unit | Proportional Reasoning Problem Solving
Ratios and Proportions Math Unit | Proportional Reasoning Problem Solving
Ratios and Proportions Math Unit | Proportional Reasoning Problem Solving
Ratios and Proportions Math Unit | Proportional Reasoning Problem Solving
Ratios and Proportions Math Unit | Proportional Reasoning Problem Solving
Ratios and Proportions Math Unit | Proportional Reasoning Problem Solving
Ratios and Proportions Math Unit | Proportional Reasoning Problem Solving
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Description

This mini unit on Google Slides (with Pair Deck embedded slides) is a solid introduction and/or reinforcement of students' ratio and proportional reasoning skills. Pair Deck is only an optional tool, not required. The tasks tend to build on one another so that students gradually build their reasoning and problem solving skills. Throughout the unit, students are also asked to s on their learning via Pair Deck.

The goal of this unit is to lay the groundwork for proportional reasoning in 6th grade and beyond. NOTE: this unit was not formulated to specifically address cross multiplying, although it may be used as a strategy. Rather, the intent is for students to use proportional reasoning at its core; that is, to reason multiplicatively. Often students lack proportional reasoning and tend to think additively instead of multiplicatively. This affects their ability to reason appropriately in later grades. In the unit, students repeatedly attend to the meaning of a fraction, another basic concept with which many students struggle.

Some of these problems may be more rigorous than typical text book problems. However, they are likely within the appropriate zone of proximal development for middle and high school students who in general tend to struggle with proportional reasoning. The goal is not to use a formula or rule, but rather to engage in deeper problem-solving strategies.

In this mini unit, it is encouraged for students to make sense of problems and to model their reasoning perhaps with a visual model or simply by showing their work. It is also encouraged to let students engage in productive struggle initially, and then for the teacher to facilitate thereafter. Finally, these tasks serve as a foundation. You may find it very helpful to add more similar tasks so that students have additional opportunities to master the concepts.

Advanced 5th graders may be able to succeed at these problems too, if they have a strong understanding of the meaning of fractions.

Enjoy!

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Follow me for updates!

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LICENSING TERMS When buying this product, you agree that you own a license for one teacher only and that it is for your individual use in your classroom only. Licenses are non-transferable, which means they cannot be passed from one teacher to another. No part of this resource is to be shared with colleagues or used by an entire department, grade level, school or district without purchasing the correct number of licenses. If you are a coach, principal, administrator, or district interested in transferable licenses to accommodate yearly staff changes, please email me at brettpatrick5@gmail.com.

COPYRIGHT TERMS: You may not upload this product, or any part of this product, to the Internet in any capacity, including classroom websites, personal websites, or network drives, unless the site is password-protected and can only be accessed by students.

Report this resource to TPT
Reported resources will be reviewed by our team. Report this resource to let us know if this resource violates TPT's content guidelines.

Ratios and Proportions Math Unit | Proportional Reasoning Problem Solving

Mr Conceptual Understanding
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Highlights

Digital downloads
Grades icon
Grades
5th - 8th
Subjects icon
Subjects
Standards icon
Standards
Pages
22
Answer Key
Included
Teaching Duration
2 Weeks

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Description

This mini unit on Google Slides (with Pair Deck embedded slides) is a solid introduction and/or reinforcement of students' ratio and proportional reasoning skills. Pair Deck is only an optional tool, not required. The tasks tend to build on one another so that students gradually build their reasoning and problem solving skills. Throughout the unit, students are also asked to s on their learning via Pair Deck.

The goal of this unit is to lay the groundwork for proportional reasoning in 6th grade and beyond. NOTE: this unit was not formulated to specifically address cross multiplying, although it may be used as a strategy. Rather, the intent is for students to use proportional reasoning at its core; that is, to reason multiplicatively. Often students lack proportional reasoning and tend to think additively instead of multiplicatively. This affects their ability to reason appropriately in later grades. In the unit, students repeatedly attend to the meaning of a fraction, another basic concept with which many students struggle.

Some of these problems may be more rigorous than typical text book problems. However, they are likely within the appropriate zone of proximal development for middle and high school students who in general tend to struggle with proportional reasoning. The goal is not to use a formula or rule, but rather to engage in deeper problem-solving strategies.

In this mini unit, it is encouraged for students to make sense of problems and to model their reasoning perhaps with a visual model or simply by showing their work. It is also encouraged to let students engage in productive struggle initially, and then for the teacher to facilitate thereafter. Finally, these tasks serve as a foundation. You may find it very helpful to add more similar tasks so that students have additional opportunities to master the concepts.

Advanced 5th graders may be able to succeed at these problems too, if they have a strong understanding of the meaning of fractions.

Enjoy!

************************************************************************************************

Follow me for updates!

************************************************************************************************

LICENSING TERMS When buying this product, you agree that you own a license for one teacher only and that it is for your individual use in your classroom only. Licenses are non-transferable, which means they cannot be passed from one teacher to another. No part of this resource is to be shared with colleagues or used by an entire department, grade level, school or district without purchasing the correct number of licenses. If you are a coach, principal, administrator, or district interested in transferable licenses to accommodate yearly staff changes, please email me at brettpatrick5@gmail.com.

COPYRIGHT TERMS: You may not upload this product, or any part of this product, to the Internet in any capacity, including classroom websites, personal websites, or network drives, unless the site is password-protected and can only be accessed by students.

Report this resource to TPT
Reported resources will be reviewed by our team. Report this resource to let us know if this resource violates TPT's content guidelines.

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Questions & Answers

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Standards

to see state-specific standards (only available in the US).
Interpret a fraction as division of the numerator by the denominator (𝘒/𝘣 = 𝘒 ÷ 𝘣). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem. For example, interpret 3/4 as the result of dividing 3 by 4, noting that 3/4 multiplied by 4 equals 3, and that when 3 wholes are shared equally among 4 people each person has a share of size 3/4. If 9 people want to share a 50-pound sack of rice equally by weight, how many pounds of rice should each person get? Between what two whole numbers does your answer lie?
Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.
Interpret the product (𝘒/𝘣) Γ— 𝘲 as a parts of a partition of 𝘲 into 𝘣 equal parts; equivalently, as the result of a sequence of operations 𝘒 Γ— 𝘲 Γ· 𝘣. For example, use a visual fraction model to show (2/3) Γ— 4 = 8/3, and create a story context for this equation. Do the same with (2/3) Γ— (4/5) = 8/15. (In general, (𝘒/𝘣) Γ— (𝘀/π˜₯) = 𝘒𝘀/𝘣π˜₯.)
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