Objective:
The student will be able to apply qualitative and quantitative reasoning to solve real world problems involving ratios, rates. and proportions applying multiple representations.
Standards:
6.4(B) Apply qualitative and quantitative reasoning to solve prediction and comparison of real-world problems involving ratios, rates and proportions.
Performance Indicators:
- Students will be able to use ratio and rate reasoning to solve real-world and mathematical problems with multiple representations.
- Students will be able to solve real-world problems using proportions.
Success Criteria:
Understand and use ratios and proportions in mathematical applications of daily life.
Review:
6th Grade Unpacked Math TEKS.docx page 22
Warm-up – Daily Review.
֍ Unit 3: Ratios, Rates and Proportions ֍
Vocabulary/Word Wall/Anchor Chart:
- RATIOS WORD BANK L/S
- RATE AND PROPORTION VOCABULARY
- RATIO AND RATE VOCABULARY
- SCALE FACTOR ANCHOR CHART
Guided Practice.
Guided practice of the skill, to practice the key concepts of the lesson, and to build students’ understanding of the content. Warm-up – Daily Review. Math videos & Skill Builders from my blog (to be completed as homework if not completed in class). 5E Model of Instructional Procedures: (Engage, Explore, Explain, Extend/Elaborate, Evaluate)
I DO… (You Watch)
You can view more of my math videos in my YouTube channel
WE DO…(Together)
Multiple Representations:
EQ10 K_From_Equation
EQ11 K_From_Graph
EQ12 K_From_Table
EQ13 K_Tables
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YOU DO… (I watch/guide) Random Student Picker
PP05 Proportions word problems and equations
SF04 Shadow
SF05 Similar Figures Missing Side
PP43 Distance – Rate – Time Word Problems.
Extra work:
Hands-on, online curriculum aligned math worksheets that automatically tracks student progress.
Essential Questions:
How do I represent and/or solve real-world and mathematical problems using rates, ratios, and/or percents?
How can problems involving ratios and rates be solved without using a proportion?
What is the relationship between a ratio and a proportion?
How does a proportion compare two equivalent ratios?
How is the ratio or rate used to compare two quantities or values?
Differentiation:
Accommodations for instruction will be provided as stated on each student’s (IEP) Individual Education Plan for special education, 504, at risk, and ESL/Bilingual. Differentiation will be through small groups, visuals, use of calculators, extra time, supplemental aids and reteach if necessary.
Homework:
Journal:
- How is a ratio or rate used to compare two quantities or values?
- Where can examples of ratios and rates be found?
- How can I model and represent rates, ratios, and proportions?
- What is a proportion?
- How are cross products and unit rates helpful in determining whether two ratios are equivalent?
JOURNAL: Create your own problem.
