6.5A Scale Factors (Ratios & Rates)

Objective:

The student will be able to solve problems involving scale factors in real world situations.

Standards:

6.5(A) represent mathematical and real‐world problems involving ratios and rates using scale factors, tables, graphs, and proportions

Review:

6th Grade Unpacked Math TEKS.docx page 29

Planning:

The student will understand that a ratio is a multiplicative comparison of two or more quantities. When two quantities are related proportionally, the ratio of one quantity to the other is invariant as the numerical values of both quantities change by the same factor.

Performance Indicators:

Students will be able to find the missing term in a proportion.
Students will be able to use ratio and rate reasoning to solve real-world and mathematical problems
Students will be able to solve real-world problems using unit rates.
Given a unit of measurement, students will be able to convert it to other units of measurement and will be able to use it to solve contextual problems.

Success Criteria:

I can understand and use ratios and proportions in mathematical applications of daily life.

I can use proportions and unit rates to change units.

Anchor Chart:

Vocabulary:

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)

STAAR Level Example Problems:

This activity will be projected on the online whiteboard and done as a whole class. Please volunteer to find the answer yourself and report back to the class.

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In this blog, I’ve posted numerous videos that show how to solve math problems. To make the videos available to a greater number of students I am starting to publish them on my YouTube Channel, and I am removing all restrictions so that they can be shared for free with all of you.

YOU DO:

SF01 Scale_Drawing

SF02 Scale_Factor

SF05 Similar Figures_Missing Side

SF06 Scale_Perimeter

AR04 Scale_Area

SF10 Similar_Rectangles_1

SF11 Similar_Rectangles_2

SF12 Similar_Rectangles_3

SF13 Similar_Triangles 1

SF14 Similar Triangles 2

Resources:

Lesson Frame	The problem of the Day	Practice
We will APPLY SIMILARITY in real-world situations. I will EXPLAIN to my partner in some ways that PROPORTIONS are used in my home.	Problem_of the Day 1 Problem of the Day 2 Problem of the Day 3	SF01 Scale_Drawing SF02 Scale_Factor PP05 Proportions word problems and equations SF04 Shadow SF05 Similar Figures_Missing Side PP43 Distance – Rate – Time Word Problems. PP50 Car_Math
Help Topics	Journal	Spiraling
Directly Proportional Solving Proportions VIDEOS: Introduction to Percentage Scale Drawing Shadows Math •	Create and solve your own problem by applying proportions in real life situation. Word problem Writing Template Problem Solving Format	Percentage 1 Percentage 2 Inequality 1 Equations _1 Equations_2 Proportions_1
Assessment	Essential Questions	Vocabulary
Observation, Self-graded quizzes, and Journal	How do I represent and/or solve real-world and mathematical problems using rates, ratios, and/or percents?	Discount, Tax, Percent of change, Proportional rates, cross-products, proportions, equivalent ratios, solving a proportion

Differentiation

I will use the KWL approach (What do I Know, What do I want to know, What did I learn) to determine student readiness, interests and preferences. I will provide extra time, differentiate instruction to support ELL, supplemental aids and reteach if necessary.

Math Activity.

Create your own problem.

Problem Solving Format

Essential Questions:

What is a ratio and how can we know if two ratios are proportional?
How are rates and unit rates used in the real world?
How is a unit rate similar to and different from a ratio?
How do you use ratios and proportions to make comparisons?
How can proportional reasoning help me find unknowns in everyday life?

Journal

Write in your journal about ratios, rates and proportions.
Write in your journal about how you use ratios, rates and proportions to make comparisons?
Create and solve your own problem by applying proportions in real life situation.

Frayer template

We will use the Frayer Model to identify and understand unfamiliar vocabulary.

Closing Product:

I will be able to apply the ratios and rates concepts in real life word problems.
I will be able to read and write ratios, solve ratios and rates word problems, and find missing values in the tables.
I will be able use ratio language to describe a ratio relationship between two quantities and plot the pairs of values on the coordinate plane.