Unit 3: Proportions and Variation

Meece Middle School

Mrs. Robin Crawford

Unit 3: Proportions and Variation

Class:Acclerated Math Grade: 7 Days in Unit: 17

Objective:

Distinguish between proportional and non-proportional situations.

Use proportions to solve problems.

Compare, contrast, and convert between measurement systems.

Graph proportional relationships and identify the unit rate as the slope of the related linear function.

Distinguish direct variation from other relationships, including inverse variation.

Time / Lesson and Topic / Standard / Learning Target / Vocabulary / Resources
1 day / 3.1 Ratios and Rates / 7.RP.1
7.RP.2b / I can:
find a ratio, rate, or unit rate.
find a unit rate from a table or graph. / Ratio
Rate
Unit rate / Day 1:
Journal: Define vocabulary and practice examples of each learning target.
Lesson 3.1 Practice A
Time / Lesson and Topic / Standard / Learning Target / Vocabulary / Resources
1 day / 3.2 Slope / 7.RP.2b
8.EE.5 / I can:
find the slope of a line.
interpret the slope of a line as a rate when the equation of the line models a real-life situation. / slope / Day 1
Journal: Define vocabulary. Discuss steepness of a line
Thoughtful Ed: Comparing unit rates (record and practice journal)
Lesson 3.2 Practice A
Homework: 3.1 Practice B
2 Days / 3.3 Proportions / 7.RP.2a / I can
use equivalent ratios to determine whether two ratios form a proportion.
use the cross products property to determine whether two ratios form a proportion. / Proportion
Proportional
Cross products / Day 1
Journal: Define vocabulary
Use cross products to classify if ratios form a proportion
Smartboard examples for each student to practice
Lesson 3.3 Practice A
Day 2
Journal: review notes
Brainpop: Proportions video and quiz
Lesson 3.3 Practice B
Homework: 3.2 Practice B
1 Day / 3.4 Writing Proportions / 7.RP.2a / I can :
write a proportion.
solve a proportion using mental math. / Day 1:
Journal: Setting up proportions using words
Thoughtful Ed: Paired learner activity- using string to estimate the distance around someone’s neck (pg T-116)
Lesson 3.4 Practice A
Homework: 3.3 Practice B
Time / Lesson and Topic / Standard / Learning Target / Vocabulary / Resources
1 day / 3.5Solving Proportions / 7.RP.2a
7.RP.2b
7.RP.2d / I can:
solve proportions using multiplication.
solve proportions using the cross products property.
use a point on the graph of a proportional relationship to write and solve a proportion. / Day 1:
Journal: Examples of how to solve proportions using multiplication, cross products, and using a point on the graph.
3.5 Practice A
Homework: 3.4 Practice B
1 Day / Quiz Lessons 3.1-3.5 / Standards from these lessons / All targets from these lessons. / All vocabulary associated with lessons / quiz
1 day / 3.6 Converting Measures Between Systems / 7.RP.3 / I can:
use ratios or proportional relationships to convert units.
compare units.
convert rates. / Customary system
Metric system / Day 1:
Journal:record customary and metric system equivalents
Guided Practice
Lesson 3.6 Practice A
1 Day / Topic 3: Converting Units of Measure / 7.RP.3 / I can:
Convert between customary and metric units. / Conversion factor / Day1:
Journal: Define conversion factor
Guided practice
Examples from textbook to practice
Time / Lesson and Topic / Standard / Learning Target / Vocabulary / Resources
2 Days / 3.7Direct Variation / 7.RP.2a
7.RP.2c
7.RP.3
8.EE.5 / I can
identify direct variation from a graph or an equation.
use a direct variation model. / Direct variation / Day 1:
Journal:write properties and equations for direct variations through the use of examining a graph.
3.7 Practice A
Day 2:
Journal: Review Notes
Group work: Find the graph that doesn’t belong and why
3.7 Practice b
1 Day / Topic 4: Comparing Rates / 8.EE.5 / I can:
Compare prortional relationships and equations / Day 1:
Notes regarding methods of comparing proportional relationships and equations.
Practice examples from textbook.
2 days / 3.8 Inverse Variation / 7.RP.2a / I can:
decide whether two quantities show direct variation, inverse variation, or neither / Inverse variation / Day1:
Journal: compare qualities of an indirect variation graph and the equation associated with it.
Guided Practice: Solving a determining the classification of the graphs.
Lesson 3.8 Practice A
Day 2:
Journal: review notes
Lesson 3.8 Practice B
1 day / Quiz Lessons 3.6-3.8 / Standards associated with these lessons / All standards associated with these lessons / All vocabulary within these lessons / Quiz
Review packet
Time / Lesson and Topic / Standard / Learning Target / Vocabulary / Resources
1 day / Review for UnitTest / All / All / All / Check Review Packet
Jeopardy
1 day / Test over Unit / All / All / All / CIITS test and Extended response

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