

LFSDIGITAL KUD for Unit: Ratios and Proportions
Key Learning
(What is the big understanding for this unit? What will you ultimately want students to understand as a result of the instruction? This is a “big picture” understanding, based both on the most critical standards and the thematic focus of the unit.)

Ratios, fractions, differences, and percents can be used to form comparison statements in a given situation and analyzed to solve real world problems

Unit Essential Question
(What broad question will students be able to answer as a result of the instruction? This question should reflect the most critical standards on which the instruction is based. This question is the inverse of the Key Learning; the Key Learning would provide an “ideal” response to this question.)

How can ratios, fractions, differences, and percents be used to form comparison statements in a given situation and analyzed to solve real world problems?

Unit Description
(Briefly summarize the focus and content of the unit.) 
In this unit ratios, fractions, differences, and percents will be used to form comparison
statements in a variety of situations and will be used to analyze and solve real world problems.

GradeLevel Standards Addressed in the Unit
(List the critical gradelevel standards on which the instruction will be based. Since many of the standards are recursive, reinforced throughout the year’s instruction, list only those that will be the focus of the instruction and assessments for this unit.)

CC: 7.RP.1, 7.RP.2, and 7.RP.3

Know
(Factual: nouns or noun phrases related to key concepts; terminology, academic vocabulary, formulas, etc., often found or implied in the language of the gradelevel standards.) 
Understand
(Conceptual: key understandings that students will gain as a result of the instruction within the unit, found in the language of the gradelevel standards, and generally written in complete sentences. These understandings will contribute to the overall key learning of the unit.) 
Do
(Procedural, Extending Thinking: written as verb phrases, often found or implied in the language of the gradelevel standards. These statements provide discreet targets for demonstrating learning. Often the assessments for the learning will be selected
from this column.) 
How to find the unit rate
How to express rate
How to set up and compute with proportions and ratios
How to compare ratios, percents and fractions
Effects of scaling up and scaling down ratios

Ratios, fractions, differences, and percents can be used to form comparison statements in a given situation and analyzed to solve real world problems 
7.RP.1. Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.
7.RP.2. Recognize and represent proportional relationships between quantities.
· Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.
· Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.
· Represent proportional relationships by equations. For example, if total cost t is proportional to the number n of items purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t = pn.
· Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.
7.RP.3. Use proportional relationships to solve multistep ratio and percent problems.
* Integrate a variety of file types to create and illustrate a document or presentation that explains your knowledge of proportional reasoning. Be sure to use multiple examples that clearly demonstrate your understanding. (1,6)




Below is a description of LoTi level 3 instructional focus in the classroom. For more information about LoTi and descriptions of higher LoTi levels please follow the link below. www.loticonnections.com 
At a Level 3 (Infusion), the instructional focus emphasizes student higher order thinking (i.e., application, analysis, synthesis, evaluation) and engaged learning. Though specific learning activities may or may not be perceived as authentic by the student, instructional emphasis is, nonetheless, placed on higher levels of cognitive processing and indepth treatment of the content using a variety of thinking skill strategies (e.g., problemsolving, decisionmaking, reflective thinking, experimentation, scientific inquiry). Teachercentered strategies including the concept attainment, inductive thinking, and scientific inquiry models of teaching are the norm and guide the types of products generated by students using the available digital assets.
Digital tools and resources are used by students to carry out teacherdirected tasks that emphasize higher levels of student cognitive processing relating to the content under investigation.

Print Resources


Discovery Education Resources
Open Resources
Resource 1: Ratios and proportions  Video and ebook Media type: video, ebook Description: A short video that introduces proportions, ratios, the rule or proportions, and crossmultiplication and an ebook with more detailed explanations as well as many practice problems including word problems. Level: Intermediate
Credit: K12 Handhelds License: CC BY
Notes/activity suggestions: Tags: grade7, math, ratios, proportions, rule of proportions, crossmultiplication
Resource 3: Ratios and proportions
Media type: textbook Description: A chapter of a textbook on ratios and proportions, including word problems Level: Intermediate
Credit: Anne Gloag, Andrew Gloag, CK12 License: CC BY SA
Notes/activity suggestions: Tags: grade7, math, geometry, similiarity, ratios, proportions
Resource 4: Unit on Proportional Reasoning, Rates, Ratios and Percents Media type: Text Description: An entire unit of activities for proportional reasoning (including percents). The approach mixes direct instruction with guided inquiry and reallife applications. Includes a comprehensive student packet as well as PowerPoints and other resources. Level: Intermediate
Credit: Kevin Hall License: CC BY SA
Notes/activity suggestions: Tags: grade7, math, grade8, math, proportional reasoning, ratios, percents
Resource 5: Similarity Media type: textbook Description: A chapter of a textbook on similiarity, ratios, and proportions Level: Intermediate
Credit: Jim Sconyers, CK12 License: CC BY SA
Notes/activity suggestions: Tags: grade7, math, geometry, similiarity, ratios, proportions
Resource 6: Ratios and proportions Media type: text Description: An explanation of ratios and proportions with many practice worksheets Level:
Credit: HelpingWithMath.com License: CC BY SA
Notes/activity suggestions: Tags: grade7, math, ratios, proportions
Resource 7: Ratios and proportions Media type: text Description: A textbook chapter on ratios, proportions, and solving proportions using cross products Level: Advanced
Credit: Anne Gloag, Andrew Gloag (CK12) License: CC BY SA
Notes/activity suggestions: Tags: grade7, math, ratios, proportions, crossproducts, crossmultiplying
Resource 8: Animation tutor  Dimensional thinking (requires a download) Media type: interactive Description: An interactive tutorial taking users through a variety of realworld problems involving proportions and rations Level: Intermediate, Advanced
Credit: San Diego State University License: CC BY NC ND
Notes/activity suggestions: Tags: grade7, math, ratios, proportions, word problems
Resource 9: Khan Academy videos: Introduction to ratios, Ratio problem with basic algebra, Scale and indirect measurement Media type: video Description: Short talking chalkboard explanations of math concepts Level: Intermediate
Credit: Sal Khan License: CC BY SA
Notes/activity suggestions: Tags: grade7, math, ratios, proportions
Media type: interactive Description: SMART Board notebooks for learning about direct proportion and solving ratio problems and for learning about direct proportion and solving ratio problems Level: Intermediate
Credit: SMART Technologies License: CC BY
Notes/activity suggestions:
Tags: grade7, math, ratios, proportions, SMART
Last modified at 7/20/2011 11:19 AM by SEAFORD\jwwhite



