Unit 3: Fractions, Decimals, and Percents
Leads to 6.RP.3c
0.8 -> frac
0.45 -> frac
0.125 -> frac
9.85 -> frac
3/5 -> dec
3/5 -> dec
14/25 -> dec
27/75 -> dec
Make notes to your future forgetful selves:
How to change decimals into fractions:
How to change fractions into decimals:
Pages 90-91
Textbook videos: sign in, click Lesson Resources, tutor (chat icon). Go to Filters: Chapter 2, Lesson 1 > Tutor
Change decimals into fractions
Change fractions into decimals
L. 2-1 p95 29, 27, 25, 23, 21, 19; p93 11, 7, 5, 3, 1; p96: 33, 35, 37
Rewrite the problem, show your work, circle the answer, and check the answer in the back of the book (or online at V1SA3). If you got it right, move on. If you got it wrong, try to find and correct your mistake. If needed, ask for help.
1. Tay lives 0.85 miles from her school. Write this distance as a fraction in simplest form.
2. In a survey 6 out of 10 students named their math teacher as their favorite teacher. Express this rate as a decimal.
After completing the Check-your-understanding Questions, which were important for everyone to do?
Leads to 6.RP.3c
75% -> frac
90% -> frac
38% -> frac
3/10 -> %
7/20 -> %
2/5 -> %
6/8 -> %
9/12 -> %
Make notes to your future forgetful selves:
Percent means per one hundred. Percents are used to compare (things with different quantities or amounts).
How to write percents as fractions:
One way to write fractions as percents:
Pages 102-103
Textbook videos: sign in, click Lesson Resources, tutor (chat icon). Go to Filters: Chapter 2, Lesson 2 > Tutor
L. 2-2 p107: 29, 27, 25, 23, 21; p105: 11, 9, 7, 5, 3, 1; p108: 35, 37
Rewrite the problem, show your work, circle the answer, and check the answer in the back of the book (or online at V1SA3). If you got it right, move on. If you got it wrong, try to find and correct your mistake. If needed, ask for help.
If you haven't already, please store your phone and/or smart watch in your Yonder Bag.
If you don't have a phone or smart watch, feel free to leave your Yonder Bag at home.
After completing the Check-your-understanding Questions, which were important for everyone to do?
Leads to 6.RP.3c
93 รท 100
56%-> dec
32% -> dec
2% -> dec
0.8% -> dec
0.73 x 100
0.38 -> %
0.6 -> %
Make notes to your future forgetful selves:
Write percents as decimals. Write decimals as percents
Pages 110-111
Textbook videos: sign in, click Lesson Resources, tutor (chat icon). Go to Filters: Chapter 2, Lesson 3 > Tutor
L. 2-3 p115: 33, 31, 29, 27, 25, 23; p113: 11, 9, 7, 5, 3, 1; p116: 37, 39, 41
Rewrite the problem, show your work, circle the answer, and check the answer in the back of the book (or online at V1SA3). If you got it right, move on. If you got it wrong, try to find and correct your mistake. If needed, ask for help.
Sep 29 Review
Due 9/29
Use your Unit 2 Test To help you complete the Test Navigation Instrument. For every question that you earned full credit, make a smiley face on the Test Navigation Instrument (next to the question number). When finished, please put it in the basket at the front of the room
There are 29 points possible (total). Questions 1, 2, 3, 14, and 15 were worth 1 point. The other questions were worth 2 points. Questions 10b and 11b are worth 2 points extra credit. In general, you received 1 point for a correct answer and one point for showing work that led to getting the correct answer. Here are the answers:
If you earned 26 or fewer points on the test, you may choose to re-take the Unit 2 Test next week: 10/6. Please start studying and preparing this weekend. If you have questions, drop in before school.
Take the next five minutes to read and review the notes you made this week. Please highlight the learning targets and, when needed, add to or clarify what you wrote down. If something is confusing, raise your hand to ask or refer to the textbook or my notes.
Use your notes to fill in the boxes on the Unit 3 Graphic Organizer. In each box, try to include worked examples and annotations (descriptions of how to do the math).
If you come to something you don't know and can't find it in your notes: look at my notes, refer to the textbook, or do a Google Search (at home).
* Keep this in a safe place. It is due (completed) on the day of the Unit 3 Test (10/17)
Oct 2 Practice
Due 10/3
Use through each of the following three worksheets to practice what you've learned so far in Unit 3.
T1 Extra Practice:
T2 Extra Practice:
T3 Extra Practice:
Do the first six questions in each section. Do the work in your notebook. Be neat. As always, rewrite the problem, show your work, and check the answer.
If you got it right, move on. If not, look over your work to see if you can find your mistake. If you can't, ask your seat partner (the person next to you) for help. Or, look back at your notes, my notes, the videos, etc. to review the concept.
1. Write 0.5 as a percent.
2. The current interest rate is 5.782%. Write this as a decimal.
After completing the Check-your-understanding Questions, which were important for everyone to do?
This Friday is the Unit 2 Retake. Please use the Unit 2 Test to identify specific questions you need to work on and learn from. Also, please use the Unit 2 Test Navigation Instrument to identify specific learning targets you need to review (review my notes, look at examples from the book, re-watch videos, etc.). I am here before school and happy to assist with individual questions. You may also come in at the start of lunch.
Starting today, I will be checking the Check-your-understanding Questions each day, the day after they are assigned.
If you don't show work, you won't get credit.
If I can see that you have one or more wrong answers (i.e. you didn't check answers and fix mistakes), you won't get credit.
Leads to 6.RP.3c
frac - dec - 17%
frac - 0.99 - %
1/4 - dec - %
3/8 - dec - %
frac - dec - 0.2%
frac - dec - 170%
frac - 0.0075- %
frac - 1.65 - %
1 3/4- dec - %
Make notes to your future forgetful selves:
Another way to write a fraction as a percent:
Pages 118-119
Textbook videos: sign in, click Lesson Resources, tutor (chat icon). Go to Filters: Chapter 2, Lesson 4 > Tutor
L. 2-4 p123: 31, 29, 27, 25, 23; p121: 15, 13, 11, 9, 7, 5, 3, 1; p124: 39, 41
Use the table to organize your work and answers (frac - dec - %). Be sure to show work (bumpies, simplifying, etc.). Check the answers in the back of the book (or online at V1SA4). If you got it right, move on. If you got it wrong, try to find and correct your mistake. If needed, ask for help.
After completing the Check-your-understanding Questions, which were important for everyone to do?
Compare 7/12 and 1/2
Compare 7/8 and 5/6
Compare 2/3 and 0.6
Compare 0.7 and 8/11
Compare 42% and 0.44
Compare 6.5 and 650%
Compare 7% and 7/10
Order 3/5, 0.41, 26%
Order 0.4, 5/8, 38%
Pages 130-131
Textbook videos: sign in, click Lesson Resources, tutor (chat icon). Go to Filters: Chapter 2, Lesson 5 > Tutor
L. 2-5 p135: 25, 23, 21, 19, 17; p133: 9, 7, 5, 3, 1; p136: 29, 31, 33
Rewrite the problem, show your work, circle the answer, and check the answer in the back of the book (or online at V1SA4). If you got it right, move on. If you got it wrong, try to find and correct your mistake. If needed, ask for help.
If you want to retake, please take out your Unit 2 Graphic Organizer (only). You may use a multiplication table.
If you're not retaking, you may work on your Unit 2 Graphic Organizer or practice T5 (Comparing and ordering rational numbers): p135: 22, 24, 26; p133 4, 6, 8
If you want to review how to find the LCD (Least Common Denominator) -- also known as the LCM -- here is a video:
After completing the Check-your-understanding Questions, which were important for everyone to do?
Unit 2
Unit 2 Retake: please take out your Unit 2 Graphic Organizer (only). You may use a multiplication table.
If you're not retaking:
1. Check PowerSchool. Be sure all assignments are completed. If not, do it and show me ASAP -- some points are better than no points. Look at your Mastery Checks. If they have a low score, you may correct your mistakes and, after showing me the corrections, I will change the grade to a B+.
2. Review your notes from the week and continue working on your Unit 2 Graphic Organizer .
3. Read or work on something from another class.
Great job students! I am proud of everyone! You are working hard, trying and doing your best.
Let's have a donut hole drawing!
Optional PD for teachers
6.RP.3c
In a school with 300 students, 15% like string cheese. How many students like string cheese?
After surveying 150 students, 44% like chocolate milk. How many students like chocolate milk?
In the morning, a website sold 320 stickers. In the afternoon, the website sold 145% of the morning's sales. How many stickers were sold in the afternoon?
Find 220% of 65.
Find 0.46% of 80.
Find 0.25% of 58.
Pages 148-149
Textbook videos: sign in, click Lesson Resources, tutor (chat icon). Go to Filters: Chapter 2, Lesson 7 > Tutor
L. 2-7 p153: 29, 27, 25, 23, 21, 19; p151: 11, 9, 7, 5, 3, 1; p154: 35, 37, 39
Rewrite the problem, show your work, circle the answer, and check the answer in the back of the book (or online at V1SA4). If you got it right, move on. If you got it wrong, try to find and correct your mistake. If needed, ask for help.
Find the percent of each number.
1. 32% of 60
2. 275% of 4
After completing the Check-your-understanding Questions, which were important for everyone to do?
Make notes to your future forgetful selves:
use double number lines to find the whole or part
Textbook videos: sign in, click Lesson Resources, tutor (chat icon). Go to Filters: Chapter 2, Lesson 8 > Tutor
Identify the part, whole, and percent (One will be unknown. Simply put a question mark or an x. Don't solve for it.): (L. 2-8) p161: 23, 21, 19; p159: 7, 5, 3
Use a double number line to find the missing number: (L. 2-8) p161: 16, 17; p159: 1, 2
Rewrite the problem, show your work, circle the answer, and check the answer (Use the links below the pages.). If you got it right, move on. If you got it wrong, try to find and correct your mistake. If needed, ask for help
60 is 20% of what number? Use a double number line to find the missing number.
After completing the Check-your-understanding Questions, which were important for everyone to do?
p157 Write the Percent Proportion. Plug in the part, whole, and percent. Use a ratio table and scaling up or down to solve for the unknown. Remember that equal means equal (so you can switch the order of the ratios).
Make notes to your future forgetful selves:
How to use The Percent Proportion:
1. Identify the part, whole and percent in the information you are given. (Reminder: one will be missing)
2. Write The Percent Proportion (generic)
3. Substitute
4. Use a Ratio Table to solve for the unknown
Textbook videos: sign in, click Lesson Resources, tutor (chat icon). Go to Filters: Chapter 2, Lesson 8 > Tutor
Use the Percent Proportion to solve for the unknown: L. 2-8 p161: 23, 21, 19; p159: 5, 3; p162: 29, 31, 33
Rewrite the problem, show your work, circle the answer, and check the answer in the back of the book (or online at V1SA5). If you got it right, move on. If you got it wrong, try to find and correct your mistake. If needed, ask for help.
Oct 13 Reflect
Due 10/17
Take the next five minutes to read and review the notes you made this week. Please highlight the learning targets and, when needed, add to or clarify what you wrote down. If something is confusing, raise your hand to ask or refer to the textbook or my notes.
Use your notes to fill in the boxes on the Unit 3 Graphic Organizer. In each box, try to include worked examples and annotations (descriptions of how to do the math).
If you come to something you don't know and can't find it in your notes: look at my notes, refer to the textbook, or do a Google Search (at home).
* Keep this in a safe place. It is due (completed) on the day of the Unit 3 Test (10/17)
Use The Percent Proportion to answer the following questions:
A. 120 is 30% of what number?
After completing the Check-your-understanding Questions, which were important for everyone to do?
The underlying skills behind using The Percent Proportion are 'scaling up' and 'scaling down'. Let's practice doing that
1.
2.
3.
Graphic Organizer
Notes
Unit 3 Ch. 2 Video Lessons
Sections in the book
Chapter 2: Lessons 1-8
CA State Standards
Leads to 6.RP.3c
0.8 -> frac
0.45 -> frac
0.125 -> frac
9.85 -> frac
3/5 -> dec
3/5 -> dec
14/25 -> dec
27/75 -> dec
Make notes to your future forgetful selves:
How to change decimals into fractions:
How to change fractions into decimals:
Pages 90-91
Textbook videos: sign in, click Lesson Resources, tutor (chat icon). Go to Filters: Chapter 2, Lesson 1 > Tutor
Change decimals into fractions
Change fractions into decimals
L. 2-1 p95 29, 27, 25, 23, 21, 19; p93 11, 7, 5, 3, 1; p96: 33, 35, 37
Rewrite the problem, show your work, circle the answer, and check the answer in the back of the book (or online at V1SA3). If you got it right, move on. If you got it wrong, try to find and correct your mistake. If needed, ask for help.
1. Tay lives 0.85 miles from her school. Write this distance as a fraction in simplest form.
2. In a survey 6 out of 10 students named their math teacher as their favorite teacher. Express this rate as a decimal.
After completing the Check-your-understanding Questions, which were important for everyone to do?
Leads to 6.RP.3c
75% -> frac
90% -> frac
38% -> frac
3/10 -> %
7/20 -> %
2/5 -> %
6/8 -> %
9/12 -> %
Make notes to your future forgetful selves:
Percent means per one hundred. Percents are used to compare (things with different quantities or amounts).
How to write percents as fractions:
One way to write fractions as percents:
Pages 102-103
Textbook videos: sign in, click Lesson Resources, tutor (chat icon). Go to Filters: Chapter 2, Lesson 2 > Tutor
L. 2-2 p107: 29, 27, 25, 23, 21; p105: 11, 9, 7, 5, 3, 1; p108: 35, 37
Rewrite the problem, show your work, circle the answer, and check the answer in the back of the book (or online at V1SA3). If you got it right, move on. If you got it wrong, try to find and correct your mistake. If needed, ask for help.
If you haven't already, please store your phone and/or smart watch in your Yonder Bag.
If you don't have a phone or smart watch, feel free to leave your Yonder Bag at home.
After completing the Check-your-understanding Questions, which were important for everyone to do?
Leads to 6.RP.3c
93 รท 100
56%-> dec
32% -> dec
2% -> dec
0.8% -> dec
0.73 x 100
0.38 -> %
0.6 -> %
Make notes to your future forgetful selves:
Write percents as decimals. Write decimals as percents
Pages 110-111
Textbook videos: sign in, click Lesson Resources, tutor (chat icon). Go to Filters: Chapter 2, Lesson 3 > Tutor
L. 2-3 p115: 33, 31, 29, 27, 25, 23; p113: 11, 9, 7, 5, 3, 1; p116: 37, 39, 41
Rewrite the problem, show your work, circle the answer, and check the answer in the back of the book (or online at V1SA3). If you got it right, move on. If you got it wrong, try to find and correct your mistake. If needed, ask for help.
Sep 29 Review
Due 9/29
Use your Unit 2 Test To help you complete the Test Navigation Instrument. For every question that you earned full credit, make a smiley face on the Test Navigation Instrument (next to the question number). When finished, please put it in the basket at the front of the room
There are 29 points possible (total). Questions 1, 2, 3, 14, and 15 were worth 1 point. The other questions were worth 2 points. Questions 10b and 11b are worth 2 points extra credit. In general, you received 1 point for a correct answer and one point for showing work that led to getting the correct answer. Here are the answers:
If you earned 26 or fewer points on the test, you may choose to re-take the Unit 2 Test next week: 10/6. Please start studying and preparing this weekend. If you have questions, drop in before school.
Take the next five minutes to read and review the notes you made this week. Please highlight the learning targets and, when needed, add to or clarify what you wrote down. If something is confusing, raise your hand to ask or refer to the textbook or my notes.
Use your notes to fill in the boxes on the Unit 3 Graphic Organizer. In each box, try to include worked examples and annotations (descriptions of how to do the math).
If you come to something you don't know and can't find it in your notes: look at my notes, refer to the textbook, or do a Google Search (at home).
* Keep this in a safe place. It is due (completed) on the day of the Unit 3 Test (10/17)
Oct 2 Practice
Due 10/3
Use through each of the following three worksheets to practice what you've learned so far in Unit 3.
T1 Extra Practice:
T2 Extra Practice:
T3 Extra Practice:
Do the first six questions in each section. Do the work in your notebook. Be neat. As always, rewrite the problem, show your work, and check the answer.
If you got it right, move on. If not, look over your work to see if you can find your mistake. If you can't, ask your seat partner (the person next to you) for help. Or, look back at your notes, my notes, the videos, etc. to review the concept.
1. Write 0.5 as a percent.
2. The current interest rate is 5.782%. Write this as a decimal.
After completing the Check-your-understanding Questions, which were important for everyone to do?
This Friday is the Unit 2 Retake. Please use the Unit 2 Test to identify specific questions you need to work on and learn from. Also, please use the Unit 2 Test Navigation Instrument to identify specific learning targets you need to review (review my notes, look at examples from the book, re-watch videos, etc.). I am here before school and happy to assist with individual questions. You may also come in at the start of lunch.
Starting today, I will be checking the Check-your-understanding Questions each day, the day after they are assigned.
If you don't show work, you won't get credit.
If I can see that you have one or more wrong answers (i.e. you didn't check answers and fix mistakes), you won't get credit.
Leads to 6.RP.3c
frac - dec - 17%
frac - 0.99 - %
1/4 - dec - %
3/8 - dec - %
frac - dec - 0.2%
frac - dec - 170%
frac - 0.0075- %
frac - 1.65 - %
1 3/4- dec - %
Make notes to your future forgetful selves:
Another way to write a fraction as a percent:
Pages 118-119
Textbook videos: sign in, click Lesson Resources, tutor (chat icon). Go to Filters: Chapter 2, Lesson 4 > Tutor
L. 2-4 p123: 31, 29, 27, 25, 23; p121: 15, 13, 11, 9, 7, 5, 3, 1; p124: 39, 41
Use the table to organize your work and answers (frac - dec - %). Be sure to show work (bumpies, simplifying, etc.). Check the answers in the back of the book (or online at V1SA4). If you got it right, move on. If you got it wrong, try to find and correct your mistake. If needed, ask for help.
After completing the Check-your-understanding Questions, which were important for everyone to do?
Compare 7/12 and 1/2
Compare 7/8 and 5/6
Compare 2/3 and 0.6
Compare 0.7 and 8/11
Compare 42% and 0.44
Compare 6.5 and 650%
Compare 7% and 7/10
Order 3/5, 0.41, 26%
Order 0.4, 5/8, 38%
Pages 130-131
Textbook videos: sign in, click Lesson Resources, tutor (chat icon). Go to Filters: Chapter 2, Lesson 5 > Tutor
L. 2-5 p135: 25, 23, 21, 19, 17; p133: 9, 7, 5, 3, 1; p136: 29, 31, 33
Rewrite the problem, show your work, circle the answer, and check the answer in the back of the book (or online at V1SA4). If you got it right, move on. If you got it wrong, try to find and correct your mistake. If needed, ask for help.
If you want to retake, please take out your Unit 2 Graphic Organizer (only). You may use a multiplication table.
If you're not retaking, you may work on your Unit 2 Graphic Organizer or practice T5 (Comparing and ordering rational numbers): p135: 22, 24, 26; p133 4, 6, 8
If you want to review how to find the LCD (Least Common Denominator) -- also known as the LCM -- here is a video:
After completing the Check-your-understanding Questions, which were important for everyone to do?
Unit 2
Unit 2 Retake: please take out your Unit 2 Graphic Organizer (only). You may use a multiplication table.
If you're not retaking:
1. Check PowerSchool. Be sure all assignments are completed. If not, do it and show me ASAP -- some points are better than no points. Look at your Mastery Checks. If they have a low score, you may correct your mistakes and, after showing me the corrections, I will change the grade to a B+.
2. Review your notes from the week and continue working on your Unit 2 Graphic Organizer .
3. Read or work on something from another class.
Great job students! I am proud of everyone! You are working hard, trying and doing your best.
Let's have a donut hole drawing!
Optional PD for teachers
6.RP.3c
In a school with 300 students, 15% like string cheese. How many students like string cheese?
After surveying 150 students, 44% like chocolate milk. How many students like chocolate milk?
In the morning, a website sold 320 stickers. In the afternoon, the website sold 145% of the morning's sales. How many stickers were sold in the afternoon?
Find 220% of 65.
Find 0.46% of 80.
Find 0.25% of 58.
Pages 148-149
Textbook videos: sign in, click Lesson Resources, tutor (chat icon). Go to Filters: Chapter 2, Lesson 7 > Tutor
L. 2-7 p153: 29, 27, 25, 23, 21, 19; p151: 11, 9, 7, 5, 3, 1; p154: 35, 37, 39
Rewrite the problem, show your work, circle the answer, and check the answer in the back of the book (or online at V1SA4). If you got it right, move on. If you got it wrong, try to find and correct your mistake. If needed, ask for help.
Find the percent of each number.
1. 32% of 60
2. 275% of 4
After completing the Check-your-understanding Questions, which were important for everyone to do?
Make notes to your future forgetful selves:
use double number lines to find the whole or part
Textbook videos: sign in, click Lesson Resources, tutor (chat icon). Go to Filters: Chapter 2, Lesson 8 > Tutor
Identify the part, whole, and percent (One will be unknown. Simply put a question mark or an x. Don't solve for it.): (L. 2-8) p161: 23, 21, 19; p159: 7, 5, 3
Use a double number line to find the missing number: (L. 2-8) p161: 16, 17; p159: 1, 2
Rewrite the problem, show your work, circle the answer, and check the answer (Use the links below the pages.). If you got it right, move on. If you got it wrong, try to find and correct your mistake. If needed, ask for help
60 is 20% of what number? Use a double number line to find the missing number.
After completing the Check-your-understanding Questions, which were important for everyone to do?
p157 Write the Percent Proportion. Plug in the part, whole, and percent. Use a ratio table and scaling up or down to solve for the unknown. Remember that equal means equal (so you can switch the order of the ratios).
Make notes to your future forgetful selves:
How to use The Percent Proportion:
1. Identify the part, whole and percent in the information you are given. (Reminder: one will be missing)
2. Write The Percent Proportion (generic)
3. Substitute
4. Use a Ratio Table to solve for the unknown
Textbook videos: sign in, click Lesson Resources, tutor (chat icon). Go to Filters: Chapter 2, Lesson 8 > Tutor
Use the Percent Proportion to solve for the unknown: L. 2-8 p161: 23, 21, 19; p159: 5, 3; p162: 29, 31, 33
Rewrite the problem, show your work, circle the answer, and check the answer in the back of the book (or online at V1SA5). If you got it right, move on. If you got it wrong, try to find and correct your mistake. If needed, ask for help.
Oct 13 Reflect
Due 10/17
Take the next five minutes to read and review the notes you made this week. Please highlight the learning targets and, when needed, add to or clarify what you wrote down. If something is confusing, raise your hand to ask or refer to the textbook or my notes.
Use your notes to fill in the boxes on the Unit 3 Graphic Organizer. In each box, try to include worked examples and annotations (descriptions of how to do the math).
If you come to something you don't know and can't find it in your notes: look at my notes, refer to the textbook, or do a Google Search (at home).
* Keep this in a safe place. It is due (completed) on the day of the Unit 3 Test (10/17)
Use The Percent Proportion to answer the following questions:
A. 120 is 30% of what number?
After completing the Check-your-understanding Questions, which were important for everyone to do?
The underlying skills behind using The Percent Proportion are 'scaling up' and 'scaling down'. Let's practice doing that
1.
2.
3.