Wichita falls ISD
Chapter Planner
Sixth Grade Math
Chapter 4: Understanding Proportions
Lesson 1 – 7
Time Frame: 12 days
Revised TEKS Check- Before the Chapter
Reteach/review GAP Alerts from last school year.
Are You Ready? Review/Check pg.196
• Review absolute value from chapter 1 lesson 2.
• EXTRA Quick Review: Chapter 3 (located in folder)
TEKS
6.2B
6.2C
Lesson 1: Ratios
•
•
•
Objectives
Skills: The student will be able to…
give examples of ratios as multiplicative comparisons of two quantities
describing the same attribute.
apply qualitative and quantitative reasoning to solve prediction and comparison
of real-world problems involving ratios and rates.
represent ratios and percents with concrete models, fractions, decimals.
TEKS
Readiness: 6.4B
Supporting: 6.4C, 6.4E
Process Skills: 6.1A, 6.1B,
6.1C, 6.1D, 6.1F
ELPS: 2E, 3H, 4C, 4D, 4F
•
•
•
Performance Indicators
By the end of the lesson the student will be able to…
Give examples of ratios as multiplicative comparisons and use ratios to compare quantities.
Lesson Information
Activities
Textbook pg. 269-280
Lone STAAR Rigorous Problem Solving
Set: NONE
•
Vocabulary
Ratio
Extra Practice/ Games / Videos
• KAMICO Developmental Series, Book 1, “The Wizard of Math” pg. 216-220
• KAMICO Developmental Series, Book 2, “Confetti Concentration” Pg. 225-234
• 5th Grade Kamico Book 2, “Ironman Math” pg. 275-296
Extra Videos & Presentations
• Powerpoint & worksheets in folder
• https://www.youtube.com/watch?v=A4GLGwoRYcU
• http://www.learnalberta.ca/content/mesg/html/math6web/index.html?page=lessons&lesso
n=m6lessonshell03.swf
On-line Games & Practice
Wichita Falls ISD (2014-2015)
6M Chapter 4, Lessons 1-7
The Mathematical Process Standards must be incorporated into
instruction as appropriate throughout the school year.
1
revised 9/29/14
•
•
•
•
•
•
•
•
•
•
•
•
•
http://www.mathplayground.com/games2.html
http://www.mathplayground.com/games.html
http://www.adaptedmind.com/gradelistsimple.php?utm_expid=3385351746.v4CF2YO0Th28LJlapUvWHQ.1&utm_referrer=http%3A%2F%2Fwww.adaptedmind.com%2
FMath-Worksheets.html
Additional Information
Materials/Resources
Textbook- Texas Math, Course 1 Resources
Dinah Zyke’s Big Book of Math Foldables
KAMICO Developmental Series, Books 1 & 2
Worksheets Provided
PowerPoints Provided
Target the Question
Web links that are provided for some lessons
http://www.ixl.com/math/grade-6
http://www.math-aids.com/
Any resource from the approved list
•
•
Textbook Correlations:
MATH course 1 Volume 1
Notes from Council
Remind students to always put ratios in lowest terms. This is
still a fairly new concept for 6th graders.
Misconceptions/Underdeveloped Concepts
Lesson 1
• Remind students that ratios can express a part-to-part comparison or a part-to-whole comparison. You may want to
have students write the ratio in terms of what is being asked and then fill in the numerical values as they apply.
Some students :
• May have difficulty distinguishing the difference between a ratio and a fraction.
Lesson 2: Rates
•
Objectives
Skills: The student will be able to…
Give examples of rates as the comparison by division of two quantities having
different attributes, including rates as quotients.
TEKS
Readiness: NONE
Supporting: 6.4D
Process Skills: 6.1A, 6.1B,
6.1C, 6.1D, 6.1F
ELPS: 2E, 3H, 4C, 4D, 4F
Performance Indicators
By the end of the lesson the student will be able to…
• Give examples of rates as the comparisons by division of two quantities having different attributes.
Wichita Falls ISD (2014-2015)
6M Chapter 4, Lessons 1-7
The Mathematical Process Standards must be incorporated into
instruction as appropriate throughout the school year.
2
revised 9/29/14
Lesson Information
Activities
• Textbook pg. 281-292
• Lone STAAR Rigorous Problem Solving
Sets: NONE
•
•
•
Vocabulary
Rate
Unit Rate
Unit Price
Extra Practice/ Games / Videos
• PowerPoints & worksheets in folder
Extra Videos & Presentations
• http://www.sps186.org/downloads/basic/221492/unit%203%20L.%204.pdf
On-line Games & Practice
•
http://www.mathplayground.com/games2.html
•
http://www.mathplayground.com/games.html
http://www.adaptedmind.com/gradelistsimple.php?utm_expid=3385351746.v4CF2YO0Th28LJlapUvWHQ.1&utm_referrer=http%3A%2F%2Fwww.adaptedmind.com
%2FMath-Worksheets.html
•
•
•
•
•
•
•
•
•
Additional Information
Materials/Resources
Textbook- Texas Math, Course 1 Resources
Dinah Zyke’s Big Book of Math Foldables
KAMICO Developmental Series, Books 1 & 2
Worksheets Provided
PowerPoints Provided
Web links that are provided for some lessons
http://www.ixl.com/math/grade-6
http://www.math-aids.com/
Any resource from the approved list
•
Textbook Correlations:
MATH course 1 Volume 1
Notes from Council
Students may not realize we use rates every day.
Examples:
o Miles per hour
o Inches per foot
Misconceptions/Underdeveloped Concepts
Lesson 2
• A unit rate has a denominator of 1. Encourage students to think of a unit rate as the cost, distance, or time, for every
one unit of the denominator.
Lesson 3: Ratios and Rate Tables
•
•
Objectives
Skills: The student will be able to…
represent mathematical and real-world problems involving ratios and rates using
scale factors, tables, graphs, and proportions.
apply qualitative and quantitative reasoning to solve prediction and comparison
of real-world problems involving ratios and rates.
TEKS
Readiness: 6.4B
Supporting: 6.5A
Process Skills: 6.1A, 6.1B,
6.1D, 6.1F
ELPS: 2E, 3H, 4C, 4D, 4F
Wichita Falls ISD (2014-2015)
6M Chapter 4, Lessons 1-7
The Mathematical Process Standards must be incorporated into
instruction as appropriate throughout the school year.
3
revised 9/29/14
Performance Indicators
By the end of the lesson the student will be able to…
• Use tables and scale factors to solve problems involving ratios and rates.
•
•
Lesson Information
Activities
Textbook pg. 293-300
Lone STAAR Rigorous Problem Solving
Sets: 10, 30, 50, 70, 90, 110
•
•
•
•
Extra Practice/ Games / Videos
• PowerPoints & worksheets in folder
Vocabulary
Equivalent Ratio
Ratio Table
Scale Factor
Scaling
Extra Videos & Presentations
• http://www.youtube.com/watch?v=H528WXCyV5Q
• http://www.youtube.com/watch?v=OWMUSX40_mU
On-line Games & Practice
• http://www.mathplayground.com/games2.html
• http://www.mathplayground.com/games.html
• http://www.adaptedmind.com/gradelistsimple.php?utm_expid=3385351746.v4CF2YO0Th28LJlapUvWHQ.1&utm_referrer=http%3A%2F%2Fwww.adaptedmin
d.com%2FMath-Worksheets.html
•
•
•
•
•
•
•
•
•
•
Additional Information
Materials/Resources
Textbook- Texas Math, Course 1 Resources
Lone STAAR Rigorous Problem Solving
Dinah Zyke’s Big Book of Math Foldables
KAMICO Developmental Series, Books 1 & 2
Worksheets Provided
PowerPoints Provided
Web links that are provided for some lessons
http://www.ixl.com/math/grade-6
http://www.math-aids.com/
Any resource from the approved list
•
•
Textbook Correlations:
MATH course 1 Volume 1
Lone STAAR Rigorous Problem Solving
•
Notes from Council
This objective stayed the same.
Misconceptions/Underdeveloped Concepts
Lesson 3
• Remind students that to complete some ratio tables, they may have to simplify a ratio with division before
multiplying to solve for an unknown unit in the ratio.
Wichita Falls ISD (2014-2015)
6M Chapter 4, Lessons 1-7
The Mathematical Process Standards must be incorporated into
instruction as appropriate throughout the school year.
4
revised 9/29/14
Lesson 4: Graph Ratio Tables
•
•
Objectives
Skills: The student will be able to…
TEKS
Represent mathematical and real-world problems involving ratios and rates using Readiness: 6.4B
scale factors, tables, graphs, and proportions.
Apply qualitative and quantitative reasoning to solve prediction and comparison Supporting: 6.5A
of real-world problems involving ratios and rates.
Process Skills: 6.1A, 6.1B,
6.1C, 6.1D, 6.1E, 6.1F
ELPS: 2E, 3H, 4C, 4D, 4F
•
•
•
Performance Indicators
By the end of the lesson the student will be able to…
use graphs to represent problems involving ratios.
Lesson Information
Activities
Textbook pg. 301-312
Lone STAAR Rigorous Problem Solving
Sets: 10, 30, 50, 40, 90, 110
Vocabulary
Extra Practice/ Games / Videos
• PowerPoints & worksheets in folder
Extra Videos & Presentations
• http://www.youtube.com/watch?v=H528WXCyV5Q
• http://www.youtube.com/watch?v=OWMUSX40_mU
On-line Games & Practice
• http://www.mathplayground.com/games2.html
• http://www.mathplayground.com/games.html
http://www.adaptedmind.com/gradelistsimple.php?utm_expid=3385351746.v4CF2YO0Th28LJlapUvWHQ.1&utm_referrer=http%3A%2F%2Fwww.adaptedmin
d.com%2FMath-Worksheets.html
•
•
•
•
•
•
•
•
•
Additional Information
Materials/Resources
Textbook- Texas Math, Course 1 Resources
Lone STAAR Rigorous Problem Solving
Dinah Zyke’s Big Book of Math Foldables
KAMICO Developmental Series, Books 1 & 2
Worksheets Provided
PowerPoints Provided
Web links that are provided for some lessons
http://www.ixl.com/math/grade-6
http://www.math-aids.com/
Wichita Falls ISD (2014-2015)
6M Chapter 4, Lessons 1-7
•
•
•
•
Textbook Correlations:
MATH course 1 Volume 1
Lone STAAR Rigorous Problem Solving
Notes from Council
NEW to 6th grade.
Rate tables have been done in the past, but now students are
expected to graph the ordered pair to describe the pattern of
the data.
The Mathematical Process Standards must be incorporated into
instruction as appropriate throughout the school year.
5
revised 9/29/14
•
Any resource from the approved list
Misconceptions/Underdeveloped Concepts
Lesson 4
• Remind students that the order in which the coordinates are listed is important. Students will still graph a straight
line if the ordered-pair values are transposed, but that line will be an incorrect line. Encourage students to "run"
along the x-axis and then "rise" to the y-value.
Lesson 5: Equivalent Ratios and Rates
•
•
•
•
Objectives
Skills: The student will be able to…
Represent mathematical and real-world problems involving ratios and rates using
scale factors, tables, graphs, and proportions.
Apply qualitative and quantitative reasoning to solve prediction and comparison
of real-world problems involving ratios and rates.
Represents ratios and percents with concrete models, fractions, and decimals.
Generate equivalent forms of fractions, decimals, and percents using real world
problems including problems that involve money.
TEKS
Readiness: 6.4B, 6.1G
Supporting: 6.5A, 6.4E
Process Skills: 6.1A, 6.1B,
6.1C, 6.1D, 6.1F
ELPS: 2E, 3H, 4C, 4D, 4F
Performance Indicators
By the end of the lesson the student will be able to…
• Determine equivalent ratios and rates by using unit rates, equivalent fractions, and proportions.
•
•
Lesson Information
Activities
Textbook pg. 313-320
Lone STAAR Rigorous Problem Solving
Sets: 10, 30, 50, 70, 90, 110
•
Vocabulary
Proportion
Extra Practice/ Games / Videos
• PowerPoints & worksheets in folder
Extra Videos & Presentations
• http://www.youtube.com/watch?v=H528WXCyV5Q
• http://www.youtube.com/watch?v=OWMUSX40_mU
On-line Games & Practice
• http://www.mathplayground.com/games2.html
• http://www.mathplayground.com/games.html
• http://www.adaptedmind.com/gradelistsimple.php?utm_expid=3385351746.v4CF2YO0Th28LJlapUvWHQ.1&utm_referrer=http%3A%2F%2Fwww.adaptedmind.co
m%2FMath-Worksheets.html
Wichita Falls ISD (2014-2015)
6M Chapter 4, Lessons 1-7
The Mathematical Process Standards must be incorporated into
instruction as appropriate throughout the school year.
6
revised 9/29/14
•
•
•
•
•
•
•
•
•
Additional Information
Materials/Resources
Textbook- Math Course 1 Resources
Dinah Zyke’s Big Book of Foldables
KAMICO Developmental Series, Books 1 & 2
Worksheets Provided
PowerPoints Provided
Web links that are provided for some lessons
http://www.ixl.com/math/grade-6
http://www.math-aids.com/
Any resource from the approved list
Textbook Correlations:
• MATH course 1 Volume 1
• Lone STAAR Rigorous Problem Solving
Notes from Council
The book will show two ways to simplify a ratio
unlike what we have done in the past. EXAMPLE:
times
OR
1
4
16
4
=
8
2
divide by 4
16
4
=
2
8
Misconceptions/Underdeveloped Concepts
Lesson 5
• To prevent inverting ratios, suggest that students label the units in the numerator and denominator and to keep
the unit placement consistent in a subsequent ratio.
Lesson 6: Solve Prediction and Comparison Problems
•
•
Objectives
Skills: The student will be able to…
Apply qualitative and quantitative reasoning to solve prediction and comparison
of real-world problems involving ratios and rates.
Represent mathematical and real-world problems involving ratios and rates using
scale factors, tables, graphs, and proportions.
TEKS
Readiness: 6.4B
Supporting: 6.5A
Process Skills: 6.1A, 6.1B,
6.1C, 6.1D, 6.1F
ELPS: 2E, 3H, 4C, 4D, 4F
•
Performance Indicators
By the end of the lesson the student will be able to…
Solve prediction and comparison problems involving rates and ratios.
Wichita Falls ISD (2014-2015)
6M Chapter 4, Lessons 1-7
The Mathematical Process Standards must be incorporated into
instruction as appropriate throughout the school year.
7
revised 9/29/14
•
•
Lesson Information
Activities
Textbook pg. 321-332
Lone STAAR Rigorous Problem Solving
Sets: 10, 30, 50, 70, 90, 110
Vocabulary
Extra Practice/ Games / Videos
• PowerPoints & worksheets in folder
Extra Videos & Presentations
• http://www.youtube.com/watch?v=IYizlhPvMWQ
On-line Games & Practice
• https://www.youtube.com/watch?v=hdsbilQQH7k#t=41
• http://www.mathplayground.com/games2.html
• http://www.mathplayground.com/games.html
http://www.adaptedmind.com/gradelistsimple.php?utm_expid=3385351746.v4CF2YO0Th28LJlapUvWHQ.1&utm_referrer=http%3A%2F%2Fwww.adaptedmind.co
m%2FMath-Worksheets.html
•
•
•
•
•
•
•
•
•
•
Additional Information
Materials/Resources
Textbook- Math Course 1 Resources
Lone STAAR Rigorous Problem Solving
Dinah Zyke’s Big Book of Foldables
KAMICO Developmental Series, Books 1 & 2
Worksheets Provided
PowerPoints Provided
Web links that are provided for some lessons
http://www.ixl.com/math/grade-6
http://www.math-aids.com/
Any resource from the approved list
•
•
Textbook Correlations:
MATH course 1 Volume 1
Lone STAAR Rigorous Problem Solving
•
•
Notes from Council
Similar to the previous lesson.
Extra practice.
Misconceptions/Underdeveloped Concepts
Lesson 6
• When setting up a proportion, advise students to use the known unit quantities to generate a factor or divisor in
order to solve for the unknown unit quantity.
Lesson 7: Convert Measurement Units
•
Objectives
Skills: The student will be able to…
Convert units within a measurement system, including the use of
proportions and unit rates.
TEKS
Readiness: 6.4H
Supporting: NONE
Process Skills: 6.1A, 6.1B, 6.1C, 6.1D
ELPS: 2E, 3H, 4C, 4D, 4F
Wichita Falls ISD (2014-2015)
6M Chapter 4, Lessons 1-7
The Mathematical Process Standards must be incorporated into
instruction as appropriate throughout the school year.
8
revised 9/29/14
•
•
•
Performance Indicators
By the end of the lesson the student will be able to…
Convert measurements using unit rates and proportions.
Lesson Information
Activities
Textbook pg. 333-340
Lone STAAR Rigorous Problem Solving
Sets: 10, 30, 50, 70, 90, 110
Vocabulary
Extra Practice/ Games / Videos
• Powerpoint & worksheets in folder
• KAMICO game cards can be separated by customary & metric or use as a review after
lesson 2.
* KAMICO Developmental Series, Book 2, Pg. 9 “Estimation Magician”
* KAMICO Developmental Series, Book 2, Pg. 73 “Measure Match”
Extra Videos & Presentations
• http://www.youtube.com/watch?v=8GpfO0ov-UU
• http://www.youtube.com/watch?v=IhtgKHYZti0
On-line Games & Practice
• http://www.mathplayground.com/games2.html
• http://www.mathplayground.com/games.html
• http://www.adaptedmind.com/gradelistsimple.php?utm_expid=3385351746.v4CF2YO0Th28LJlapUvWHQ.1&utm_referrer=http%3A%2F%2Fwww.adaptedmind.co
m%2FMath-Worksheets.html
•
•
•
•
•
•
•
•
•
•
Additional Information
Materials/Resources
Textbook- Math Course 1 Resources
Lone STAAR Rigorous Problem Solving
Dinah Zyke’s Big Book of Foldables
KAMICO Developmental Series, Books 1 & 2
Worksheets Provided
PowerPoints Provided
Web links that are provided for some lessons
http://www.ixl.com/math/grade-6
http://www.math-aids.com/
Any resource from the approved list
•
•
•
•
Textbook Correlations:
MATH course 1 Volume 1
Lone STAAR Rigorous Problem Solving
Notes from Council
Convert measurements using multiple representations.
Finding the multiplicative and proportional relationships.
Then the students graph the ordered pairs to find the
pattern.
Metric and customary are introduced in the younger grades.
Misconceptions/Underdeveloped Concepts
Lesson 7
• Remind students that when converting a measurement from smaller to larger units, division is used (because
there are fewer of the larger units), and when converting larger to smaller units, multiplication is used (because
there are more of the smaller units).
Some students may:
• Some students may think that when converting from a smaller unit to a larger unit, you multiply.
Wichita Falls ISD (2014-2015)
6M Chapter 4, Lessons 1-7
The Mathematical Process Standards must be incorporated into
instruction as appropriate throughout the school year.
9
revised 9/29/14
•
Some students may think that when converting from a larger unit to a smaller unit, you divide.
Parent Resources
•
•
•
•
•
•
http://mathatube.com/
http://www.math-aids.com/
http://www.projectsharetexas.org/
http://www.khanacademy.org/
Teacher’s web pages
Math textbook website- Course One (coming soon)
Wichita Falls ISD (2014-2015)
6M Chapter 4, Lessons 1-7
The Mathematical Process Standards must be incorporated into
instruction as appropriate throughout the school year.
10
revised 9/29/14