Students expand on and apply their understanding of percentages by studying percent increase and decrease, percent applications such as tax and simple interest, and scaled geometric drawings.
Math
Unit 5
7th Grade
In Unit 5, seventh-grade students use their understanding of ratios and proportions from Unit 1 to solve various real-world applications involving percentages and scale drawings. They begin the unit by studying the relationship between percent, part, and whole using familiar strategies from sixth grade as well as new strategies from this year, such as proportions. Students then investigate how percentages can be used to represent increases and decreases in quantities. They use visual diagrams to model these situations and to understand how 100% plus 20% of a value is the same as 120% of that value (MP.2). Students continue to build fluency with percent problems as they solve real-world problems such as calculating purchase totals while considering discounts and tax. Lastly, students study scale drawings and learn how a scale can be used to create scale copies of large measurements such as maps or floor plans. They apply proportional reasoning and strategically use tools to re-create scale drawings or find actual measures from scale drawings (MP.5). Throughout this unit, students use skills and concepts they already have to make sense of and reason through new problems (MP.1), including continuing to work with a range of rational numbers.
In sixth grade, students learned several strategies to solve ratio and rate problems, including tables, tape diagrams, double number lines, and equations. They also defined percent as a rate per 100 and solved percent problems to find the whole, part, or percent. These standards are foundational to this seventh-grade unit, and the first four lessons in this unit incorporate these concepts and skills.
In eighth grade, students will refine their understanding of scale and scale drawings when they study dilations in their transformations unit. They will define similar figures and use dilations and other transformations to prove that two images are similar or scale drawings of one another.
Pacing: 23 instructional days (19 lessons, 3 flex days, 1 assessment day)
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The following assessments accompany Unit 5.
Have students complete the Pre-Unit Assessment and Pre-Unit Student Self-Assessment before starting the unit. Use the Pre-Unit Assessment Analysis Guide to identify gaps in foundational understanding and map out a plan for learning acceleration throughout the unit.
Have students complete the Mid-Unit Assessment.
Use the resources below to assess student mastery of the unit content and action plan for future units.
Use student data to drive your planning with an expanded suite of unit assessments to help gauge students’ facility with foundational skills and concepts, as well as their progress with unit content.
Unit Launch
Prepare to teach this unit by immersing yourself in the standards, big ideas, and connections to prior and future content. Unit Launches include a series of short videos, targeted readings, and opportunities for action planning.
Model | Example |
Table |
280 students attend a carnival, representing 80% of the school. |
Tape diagram |
280 students attend a carnival, representing 80% of the school. |
Double number line |
280 students attend a carnival, representing 80% of the school. |
Proportion |
280 students attend a carnival, representing 80% of the school. $$\frac{280}{x}=\frac{80}{100}$$ $$x=350$$ |
Percent equation |
280 students attend a carnival, representing 80% of the school. $$280=0.80x$$ $$x=280/0.80$$ $$x=350$$ |
commission
corresponding
discount
markup/markdown
measurement error
percent increase/percent decrease
percent error
scale factor
scale
scale image/drawing
simple interest
tax
tip
To see all the vocabulary for Unit 5, view our 7th Grade Vocabulary Glossary.
To see all the materials needed for this course, view our 7th Grade Course Material Overview.
Topic A: Percent, Part, and Whole
Topic B: Percent Increase and Decrease
Topic C: Percent Applications
Topic D: Scale Drawings
Key
Major Cluster
Supporting Cluster
Additional Cluster
CCSS.MATH.PRACTICE.MP1 — Make sense of problems and persevere in solving them.
CCSS.MATH.PRACTICE.MP2 — Reason abstractly and quantitatively.
CCSS.MATH.PRACTICE.MP3 — Construct viable arguments and critique the reasoning of others.
CCSS.MATH.PRACTICE.MP4 — Model with mathematics.
CCSS.MATH.PRACTICE.MP5 — Use appropriate tools strategically.
CCSS.MATH.PRACTICE.MP6 — Attend to precision.
CCSS.MATH.PRACTICE.MP7 — Look for and make use of structure.
CCSS.MATH.PRACTICE.MP8 — Look for and express regularity in repeated reasoning.
Unit 4
Equations and Inequalities
Unit 6
Geometry