Workbook: 6B
Chapter: 8 Ratio
Lesson: 8 ‘Word Problems’ Please read the lesson and read the instructions at the end before attempting the worksheets.
Today we are going to apply our understanding of Ratio to worded problems.
To work out ratio problems it can be really helpful to use ‘bar models’ to help you work out what each ‘part’ equals. Let’s have a look below at the problem on page 37.
The ratio of ‘green’ (!?) sandwiches to ‘yellow’ sandwiches is 2:1 so we need to draw a bar that is half the size of the green sandwich to represent the yellow sandwich. See below:
The ‘yellow’ sandwich bar is equivalent to 1 part so now we need to partition each of the bars in half to create equal parts.
In total-we have ‘9 parts’. See below (apologies for my wobbly writing-it is hard to write on a laptop!)
Now, we need to work out what each ‘part’ totals so we look back to the question where it says 180 sandwiches were prepared in total. We then need to divide 180 by 9 (as there are 9 parts)
180÷9=20
So..each part=20 sandwiches.
Great! We have done most of the work and now we need to look back to the question to see what it is asking us to do:
‘Find the number of ‘red’ sandwiches he prepared.’
So, each part is 20 sandwiches. The red sandwich has 6 parts so:
20×6=120
https://youtu.be/Vx5uoZAkxng
Task:
The Maths No Problem worksheets are quite challenging today so I want to offer you a few different activities to choose from:
Task 1-Have a go at the word problems on this sheet Task 1-Ratio questions
Click here for the answers (after you have completed the questions in your Home Learning Book!)
Task 2-Have a go at the Maths No Problem worksheets (If you are finding questions 3 and 4 tricky, use the bar models below to help you)
Task 3-Complete the extension NCTEM ratio and proportion
Please do ask any questions that you have on the blog below.
Miss Gorick and Mrs Healy xx
For a printable version of the blog, click here Thursday-Maths
Hello Miss Gorick! I emailed the pages to the office due to the restrictions of file sharing. I am also doing the extension.
Thank you Charles-I have received all your work! Well done for completing all the work plus the extensions, I am impressed!
I have sent in all the maths.
I have finished all the worksheets given for today 😉
Well done Lola! I’m impressed that you also tried the challenge 🙂
Done !
Well done Javier! Did you try the challenge?
Morning every1!hope you’re well.
I did the task one,should I send it to you?
Well done Ariella 🙂 If you would like to, it’s up to you!
done 🙂
Well done! Did you try the extension?
Hi Miss
I found the MNP to hard so I did the worksheet and I will give a go at the extension.
Ps. I will also send a pic of my work
Hi Maryana 🙂 Thank you for letting me know. Like I said on the phone, just try the task one worksheet for today. Well done!
ALL DONE
Super, well done Nina!
Hi Charles! I have just received your ‘part 3 Maths’! You have been busy today and I am so pleased to see that you are challenging yourself-well done 🙂
Hi Miss Gorick,
I have completed the math and the extension work.
Super-well done Anahi!
I have done the maths no problem pages set.
Brilliant-well done Elly!
Hello Miss, although I have done the maths no problem pages I am stuck on question four. What should I do?
Hi Timothy 🙂 Thank you for asking for help. Do you mean question four in Maths no Problem?
Yes Miss
Ok, so if you scroll up above the comments, you will see that I have included the bar model for question 4.
The ratio for choc chip to butter is 2:3 (which totals 5 parts)
We are then told that she baked 24 more raisin cookies than choc chip (so that equals 2 more parts and 24 extra). Can you see that on the bar model?
To work out what each ‘part’ equals we firstly have to 143-24 as this then leaves us with 7 equal parts (2 for choc chip, 3 for butter and 2 for raisin).
So 143-24=119
We then have to do 119 divided by 7 which equals 17.
This means that each part is equal to 17 cookies.
To work out how many raisin cookies were baked we need to do 17×2=34 (as there were 2 parts) + 24 as we subtracted 24 at the start so now we need to add it on.
So, finally you need to add 34 and 24 together to give you the answer.
Does that make sense? It was a challenging question hence why I put some other worksheets to do.
Well done for asking for help Timothy-I’m really impressed!
Hi Eliza 🙂 Thank you for sending in your Maths work today! I can see that you have been working hard-well done!
Done!
Super-well done!
Hi Paloma! Thank you for sending in your work today-I can see that you tried hard 🙂 well done!