Maths Mon-Wed

Mini Algebra and other tests:

http://algebra4children.com/pre-algebra_test_2.html

Extension Work Algebra

Task for Mr Lima




Mrs Darcy's Homework for Tuesday night

watch the video below for tomorrow's lesson

Mrs. Darcy's group, try these activities about patterns and algebra

http://getsmarts.weebly.com/patterns--algebra.html

Why do we learn algebra?

https://www.youtube.com/watch?v=Cq832vvq9PE


Homework: Watch this video and write 3 points from what you have learnt about this video regarding algebra in videogames: http://www.thirteen.org/get-the-math/the-challenges/math-in-videogames/introduction/16/

Homework 2:


Composite Shapes - Extra Study


Can Rectangles Have The Same Perimeter But Have the Different Areas?


Area: Mrs. Darcy's Group

Homework for Monday Week 1 Term 4

Draw 5 rectangles and make up the length and width, then show the mathematically working with the answer for the area. eg: Rectangle 1: width=27cm length=34cm. Therefore Area is length X width so the area is 27cm x 34cm=________cm



Homework for Monday Week 1 Term 4 - Mr Lima's group

1. What did you learn by measuring a hectare?


2. Ask a family member or friend how and why they use area as an adult and write down what they say.



3. If a rectangle has an area of 24 squared metres, what could be the different dimensions?

 Homework 11/10 Mr Lima

 Go onto Domain or Realestate.com.au and find a house you love. Check out the blueprint or layout of the house and investigate the area of the rooms. In your Maths book, write down a small description of your house and calculate the area of the master bedroom, one bathroom and the garage.


Data

Misleading Graphs
https://www.youtube.com/watch?v=ETbc8GIhfHo

https://www.youtube.com/watch?v=krevW-EpMJ0




Fractions, Decimals and Percentages for Mr Lima


Multiplying By Decimals

Task: Show the video, Introduction to multiplying decimals so Ss can get an understanding: https://www.youtube.com/watch?v=STyoP3rCmb0



Extension task: https://www.khanacademy.org/math/ab-sixth-grade-math/ab-number/ab-multiplication-division/e/multiplying_decimals_1


Dividing By Decimals

Video explaining the concept: https://www.youtube.com/watch?v=Z_NHrwK6ALE

Extension: https://www.khanacademy.org/math/in-seventh-grade-math/fractions-decimals/division-decimal-number/e/dividing_decimals_2

Watch the following video to get a thorough understanding:


Dividing and Multiplying By Powers of 10, 100, 1000

You must understand how to divide AND multiply by powers of 10. Watch the video below up to 4:12 to help you. After that I want you to stop the video. You don't have to watch this video but it will help you with your understanding and with the questions below. 
https://www.youtube.com/watch?v=ZWZ5n5slX8I 

Activity: Try these. Use the video above to help you and the explanation below. The answers are on the Answers Page. Do them in your book and then check out the answers. It's always important to discover WHY you got the answer. 



Activity: Look at the word problem below which deals with multiplying or dividing by using power of 10. You do not need to write the question into your book. The title can be "Problems of 10 Word Problem." Have a go at it and then check your answer by watching the video below, however, start the video at 4:13. https://www.youtube.com/watch?v=ZWZ5n5slX8I




Try the following tasks:




When you have finished, watch the following video and write down three things you have learnt from watching it:
https://www.youtube.com/watch?v=4LYtLMmDuzw

Lesson 2 - Mr Lima



WALT: solve word problems involving fractions.

Ss get a device and work in pairs. They must go to the blog to access the below links and try and do the word problem on their own before hitting play to find out how to do it and to check if they got the answer correct.

Easier:




3. Complete the following activities, you may get hints if you need to https://www.khanacademy.org/math/in-sixth-grade-math/fractions-1/addition-subtraction-fractions/e/adding-and-subtracting-fractions-with-unlike-denominators-word-problems


Fractions, decimals and percentages with Mrs. Darcy

Go to the website below and scroll down to the heading Decimals, then complete the first 2 activities


Body: Ask students what words/sentences they come up with when they hear the word “Budget”. Get them to share it back to the class and also why budgets are important in life. Also, discuss with students which professions use budgets and why. (E.g. teachers when buying classroom books). Show the graphic below of a typical classroom budget.

Body: Read the comprehension passage and explain the purpose and advantages of a budget.
Compare budgeted spending to actual spending to calculate variance in the class budget.
Create a budget for a given amount of money.
Suggest ways of cutting spending in a budget

Give reasons why some items would be included/removed from a budget

** Show the example above and get students to pick a favourite sport’s team of theirs and come up with their own “Budgeted Gate Sales”, “Actual Gate Sales” and “Variance”. There ticket price is $10 and they need to calculate/budget their attendance. Get them to share back to the class on the Smart Board.
Discuss the advantages of budgeting why CEO’s find it important.
Task: Create a budget for travelling overseas. You will need to travel for 7 days and consider all your expenses. You will need to include the budgeted costs, the actual costs and the variance. You have a total of $5,000 you can spend but you do not need to spend all of that money.
Plenary: Students report back on their travel, how much they spent, what they originally budgeted and their variance.

Travel Budget
Discuss the advantages of budgeting why CEO’s find it important.
Task: Create a budget for travelling overseas. You will need to travel for 7 days and consider all your expenses. You will need to include the budgeted costs, the actual costs and the variance. You have a total of $7,000 you can spend but you do not need to spend all of that money.
Plenary: Students report back on their travel, how much they spent, what they originally budgeted and their variance.

Extension: You are on Day 4 of your trip and you accidently loose a significant amount of money. In order to survive you budget that you must only spend $100 (Australian Dollars) across 1 night and 2 full days. You will still need to eat breakfast, lunch and dinner and have a place to sleep (no sleeping in the park for free) and perhaps try and enjoy a the city. It’s up to you where you decide to sleep, what you decide to eat and what you decide to see and do with your money, however you must keep it below $100 just for those two days. Please set it up in your book below your table and show the budgeted cost, the actual cost and the variance. Good luck :)
Word Problems
Body: Ss try solving the word problems below. They start from task 1 and then move on. They will need to justify which strategy you used for only the first three answers for each task. That means that they will need to write it down. They cannot use algorithm.

Task 1: Harder Word Problems

Task 2: Extension

If you have an Ipad, you will not be able to start on this but I would prefer if you got a Chrome, Laptop or Mac. Then go on the website below and do the first few questions on Primary 3 and Primary 4 for Guess and Check. Again, try it first before looking at the solutions.

http://www.thesingaporemaths.com/stratf.html

Word Problems Continued

Do not do question 2
http://www.math-aids.com/cgi/pdf_viewer_10.cgi?script_name=word_add_2digit_3addend.pl&fnums=2&xinfo=1&language=0&memo=&answer=1&x=149&y=32


http://www.math-aids.com/cgi/pdf_viewer_10.cgi?script_name=word_add_sub_2digit.pl&fnums=1&xinfo=2&language=0&memo=&answer=1&x=141&y=11


Do not do question 5
http://www.math-aids.com/cgi/pdf_viewer_10.cgi?script_name=word_multiStep_addSub.pl&language=0&memo=&answer=1&x=124&y=29 


Whole Number Part 2 Factors and Multiples:


Task 1:
Go to https://www.mathsisfun.com/prime-composite-number.html and go to the top left hand corner and watch the video in full. You must write down the definition for prime and composite numbers into your books and an example of each.
Task 2: Scroll down to the bottom of the page and complete the 10 questions.
Task 3: Go to https://www.youtube.com/watch?v=PDyyvPdi1tI and watch this video and then write your own version of a square number:
Task 4: Go to https://www.youtube.com/watch?v=Wy4XlLUKuqo and watch the video below and then write down what is a triangular number.
Task 5: How are triangular numbers and square numbers related to one another.
Task 6: Go to the following website and try and do the following word problems. Remember the following before you attempt it: Also, if you get the answer wrong, it teaches you how to get it correct.
In solving gcf and lcm word problems , you use the following rules.
GCF (HCF)LCM
Maximum
Greatest
biggest
largest		Minimum
least
lowest
Smallest
simultaneously
altogether

If the above words are there in the word problems then according to that words find GCF or LCM.
www.ixl.com/math/grade-6/gcf-and-lcm-word-problems

Extra challenge:

  1. For an extra challenge please read through the following website and try the 10 questions at the bottom: https://www.mathsisfun.com/square-root.html
  2. Go to https://www.mathsisfun.com/algebra/triangular-numbers.html read through the information and try the question at the bottom.


Little Video to explain factors and multiples:

https://www.youtube.com/watch?v=tifyIMpyLYw   

Word Problem:

 In solving gcf and lcm word problems , you use the following rules.
GCF (HCF)LCM
Maximum
Greatest
biggest
largest		Minimum
least
lowest
Smallest
simultaneously
altogether
If the above words are there in the word problems then according to that words find GCF or LCM.

  1. Christine found gift bags in packs of 9 and bows in packs of 12. If Christine wanted to have the same number of gift bags as bows, what is the smallest number of gift bags she would have to buy?

b) Tracey is making stationery sets from 12 sheets of paper and 8 envelopes. If she wants all the sets to be identical without any paper or envelopes left over, what is the greatest number of sets Tracey can make?



Fractions and Decimals Test


OUTCOME: MA3-7NA -   compares, orders and calculates with fractions, decimals and percentages.
Little or No Evidence
Some Evidence
Consistent Evidence
1.Compare and order common unit fractions and locate and represent them on a number line (ACMNA102)



2. Understand what an improper fraction, proper fraction and mixed numeral is



3. Solve word problems involving addition and subtraction of fractions with the same or related denominators (ACMNA126)



4.Record equivalent fractions using diagrams and numerals



5.Find a simple fraction of a quantity where the result is a whole number, without the use of digital technologies (ACMNA127)



You may want to practise the following at home before the test as there will be similar questions on the test:

                                                          Name:_______________  Class _____

Fractions Post Assessment
                  
1) Order these fractions in ascending order:

5/3                   ⅔                     1 1/3                ⅓         3/3                  




2) Label the missing fractions:



3) Are these statements true or false.

a) 1/4 > 3/8  ____________                b) 3/6 < 5/12 ______________           c) ⅚  > ¾  = ____________


4) Find fractions of an amount.

a)    ⅕ of 35                                                     b)    2/8 of 32                      




c) 4/12 of 36                                                    d) 3/7 of 49



5) Write these fractions in their simplest form.

a) 4/12 =                                  b)  2/9 =                                   c)  6/12 =



6) Write the following fractions as improper fractions

a)   5 2/7 =                                           b)  5  ⅛            =                                  c) 6 ½ =

7) Adding Fractions

a) ⅓  + ⅓  + ⅔  =                                              b) ¼ + 5/4  =                            c) 1/7 + 2/14 =



d) ½ + ¾  =                                          e) 4/6 + 6/18 =                         d) 2 ¼ + 4 ⅜ =


8) Subtracting Fractions

a)11/12 - 7/12 =                                   b) 6/8 - 4/8 =                            c) 7/9 - 4/9 =



9) Multiplying Fractions with whole numbers


d)1/10 x  _____  = 9/10                                   e) 6 x _________  = 6/6                      d)  5 x 2 ⅓ =




Word Problems

1) Last year, Mr Murrin weighed 60 kg. This year he weighs 2/5 more. How much does Mr Murrin weigh this year?





2) McDonalds sell milkshakes in two sizes. A small milkshake contains 300ml and a large milkshake contains 2/3 more.

(i) How much does a large milkshake contain?







(ii) If Mr Murrin drinks 2/3 of a small milkshake and Miss Hoyne 1/2 of a large milkshake who drinks the most? 

FRACTIONS AND DECIMALS

Word Problems Extension Work

https://www.khanacademy.org/math/arithmetic/fractions/Adding_and_subtracting_fractions/e/adding-and-subtracting-fractions-with-like-denominators-word-problems

Extension Work Comparing Fractions


https://www.mathsisfun.com/comparing-fractions.html

https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/add-subtract-fracs-wp-pre-alg/v/adding-fractions-with-unlike-denominators-word-problem

Mrs Darcy's group
Great video explaining ordering of fractions
https://www.youtube.com/watch?v=iPPwkaBSEK8



Extension Work

Early finishers go to:

https://www.mathsisfun.com/fractions_subtraction.html and do questions at the bottom.

Word Problems Extension Work

https://www.khanacademy.org/math/arithmetic/fractions/Adding_and_subtracting_fractions/e/adding-and-subtracting-fractions-with-like-denominators-word-problems

Extension Work Comparing Fractions

https://www.mathsisfun.com/comparing-fractions.html




Extension:
MULTIPLICATION AND DIVISION

Division or Multiplication?





Division Word Problems

Now try these word problems. The instructions are below in bold. Do these in your books. The answers can be found on the Answers Page. Like always, try, ask, try and then look and then try to understand why it happened. You do not need to write out the question.
Mini Project

Extension Task - Multiplying Decimals:

Multiplying Decimals

Watch this video https://www.youtube.com/watch?v=3H9DYeR5Wmg to understand how to multiply decimals. 
Try doing this one on your own: a) 32.12 x 0.5
The answer can be found on this video: https://www.youtube.com/watch?v=JEHejQphIYc 

Now that you have the hang of it, really challenge yourself by trying to find the answer to the following. Try them before going to the Answers Page.


Challenge yourself to find out the area of these composite shapes. If you are unsure, please read the instructions below and try some examples before doing some on your own. Remember to mark your work and if you have any difficulties ask a friend before going to your teacher.




Harder Word Problems


Discovering Speed
watch this video below for an understanding about speed, time and distance. If you understand this, you will be able to solve problems involving speed, time and distance. The video can be found at https://www.youtube.com/watch?v=oS20ssiWhC4 

Once you have understood this video, try doing the question on the website: http://www.studyzone.org/mtestprep/math8/g/distancep1.cfm 
When you have completed this, you need to go to your teacher and show that you have understood this concept. 
Next, write your own word problem and challenge a friend.

Now see if you can get your head around this concept. I'll let you try and explain it to the class perhaps.

How to time travel: https://www.youtube.com/watch?v=n_3d7O619tA

Warm Up

Go over this with them. They did some last lesson:


Dividing and Multiplying by Power of 10

You must understand how to divide AND multiply by powers of 10. Watch the video below up to 4:12 to help you. After that I want you to stop the video. You don't have to watch this video but it will help you with your understanding and with the questions below. 
https://www.youtube.com/watch?v=ZWZ5n5slX8I 

Activity: Try these. Use the video above to help you and the explanation below. 







Division Problems with Remainders

Your Goal: To learn how to solve a division problem that has a remainder and be able to write it as a fraction or as a decimal. 

Activity: Try doing 75 divided by 6. Your answer will have a remainder. I would like you to write your remainder as a decimal and also as a fraction. Try it and then watch the video below. Once you have done that, try doing 128 divided by 7. See how you go before you check the answer by watching the rest of the video. Try and learn how to do it. When you have finished, write down the steps you had to take for each problem into your book. 

https://www.youtube.com/watch?v=tDvyFZM1glU


Now try these: Do them in your book after drawing out the table. 



Activity: Do the questions from 1 - 4. The answers can be found on the video link below which explains exactly how to do it. Try doing them first and then watch the video. If you get stuck, you can watch the video to find out how to do the first one. Then challenge yourself to do the rest and see if you get them correct. Please do these in your book. 

You must also write an explanation as to why the person in this video uses inverse operation. Why is it useful?

https://www.youtube.com/watch?v=WFQjcV1APi4


Last Activity



One Digit Word Problem

Problems of 10 Word Problem.
Activity: Look at the word problem below which deals with multiplying or dividing by using power of 10. You do not need to write the question into your book. The title can be "Problems of 10 Word Problem." Have a go at it and then check your answer by watching the video below, however, start the video at 4:13. https://www.youtube.com/watch?v=ZWZ5n5slX8I

Multiplying by 10



Estimating with Multiplication

Body: Watch the video https://www.youtube.com/watch?v=IYfegzp6iB8 and while you are watching pause for each question and try it in your book first. Then press play and see if you got it correct. Also you must answer the following question in your book:
a) Why is estimation important for multiplication?

b) When could it be used?

Order of Operations

Watch the video https://www.youtube.com/watch?v=dAgfnK528RA regardless of whether you think you know the order of operations or not. You may pause the video to try and do the questions that are presented and then resume the video to see if you got it correct. Then go to this website and do the questions at the bottom http://www.mathsisfun.com/operation-order-bodmas.html (if you are using an Ipad, this website may not work, if this is the case, please do the questions below. The answers are on the Answers Page).


  • Question to think about: why are the grouping symbols () and [] used in number sentences to indicate operations that must be performed first?




Multiplication Strategies

Your Goal: To know how to use the strategies below and demonstrate that you understand how to use them. You will need to show this on the test. 

Algorithm: Watch the video below if you are unsure how to do multiplication using algorithm, especially when multiplying by double digits.  https://www.youtube.com/watch?v=RVYwunbpMHA 

Gelosian: Watch the video below to familiarize yourself with the Gelosian method if you need help.
https://www.youtube.com/watch?v=x2UG0YzT2UA 


Area: The video below will show you how to multiply by using the Area Model
https://www.youtube.com/watch?v=5QZnVBlMhNs

Gelosian Method




ADDITION AND SUBTRACTION
Watch the videos below first and then complete the rest of the problems by choosing the best strategy.

Bridging the decade (addition)

https://www.youtube.com/watch?v=UZIWBiqyLdU

Bridging the decade (subtraction)

https://www.youtube.com/watch?v=c4CBYXdAOgA




Early finishers please go on with the task below:



Group 1
Stephen:
Rique:
April:
Trish

Group 2
Simon:
Johnny:
Claudia:
Natalie T

Group 3 Amanda:
Lucas:
Anthony Jones:
Amber
Group 4
Keshav:
Kenaz:
Anthony N:
Group 5:
Jeremy:
Joshua:
Danielle
Reuben:

Group 6: Andy T:
Sami:
Joel M:
Dominic

Group 7:
Katrina:
James:
Nicole:
Kane:

Group 8:
Peter T:
David:
Michael Y:
Joel Tarabey:

Group 9: Susan:
George:
Tyron:
Marian:

Group 10:
Alice:
Latecia:
Ethan D:
Felix:

Group 11:

Andy h:
Elie:
Natalie:
Levi:

Group 12:
Jenny:
Eathen S:
Rebecca:
Kevin:

Group 13:

Belinda:
Emily:
vivian

Group 14: Zoe:
Jayden:
Adam:
Thomas:

Group 15: Daniel:
Stefan:
Kathleen

Vika:

Group 16
Danielle
Michael H
Naya

Want to win a TNT? Then start teaching your friends


1. In your group of 5, you must watch each video in the order listed below.
2. You must watch the entire video regardless whether you know it or not.
3. After each video, you must ask other members in your group 'Did you get it completely?" Write an example of how to do it in your book. Each person in the group needs to do this.
4. If anyone is unsure, it is the responsibility of those students who have understood to teach those who do not understand. My suggestion, provide examples and get those people to practice.
5. Only after everyone has understood the strategy are you allowed to move forward and watch another video.
6. After you have watched all 9 videos and have understood it (all group members), you may start making your poster (see diagram below). Every student will need to learn and understand each strategy. You will use the numbers above and use each strategy to solve it. You need to show all working out with explanations.
7. To win the TNT, it is not about who finishes first. The teachers will ask random groups to present and random students to present within that group. If the student chosen cannot explain how to do a strategy, the group as a whole will not win the TNT.

1. Split Strategy (Addition)

You'll need to scroll down a little to get to the video after you click on the link below.

http://www.schoolatoz.nsw.edu.au/homework-and-study/maths/maths-a-to-z/-/maths_glossary/RId5/218/split+strategy

2. Split Strategy (Subtraction)

https://vimeo.com/38554646

3. Extending Number Facts

https://www.youtube.com/watch?v=3j0_dXBzYq0

4. Jump Strategy (Addition)

https://www.youtube.com/watch?v=Yctzi6S-mho

5. Jump Strategy (Subtraction) --> start this video at 2:44

https://www.youtube.com/watch?v=w9haFFL-AMs

6. Compensation strategy (addition)
Scroll down a little.

http://www.schoolatoz.nsw.edu.au/homework-and-study/maths/maths-a-to-z/-/maths_glossary/RId5/70/compensation+strategy 

7. Compensation strategy (subtraction)

https://www.youtube.com/watch?v=ea5q76uxEhk


8. Algorithm for subtraction

https://www.youtube.com/watch?v=Y6M89-6106I

9. Algorithm for addition

https://www.youtube.com/watch?v=mAvuom42NyY

The poster below (image) relates to instruction 6. 


DICTIONARY MEANINGS

Whole Number

 Task 1: Role of Zero Link: (read this and write what the role of zero is into your book)
http://www.mathsisfun.com/numbers/zero.html



Task 2: Ascending and Descending Order
1. What is ascending and descending? (full sentence)


 Task 3: Little Projects
1. Find the capacity of the top 6 soccer stadiums in the world and put the numbers in ascending order and write down the place value of the number 2 for each stadium.
2. Find out the population of China, Japan, Australia, Brazil, Malta, Italy, Somalia, Ghana and Kuwait and put them in descending order.

 Task 4: 

Task 5:
Place Value Assistance Tool
http://www.webmath.com/k8placevalue.html

Extension

Little Projects
1. Find the capacity of the top 6 soccer stadiums in the world and put the numbers in ascending order and write down the place value of the number 2 for each stadium.
2. Find out the population of China, Japan, Australia, Brazil, Malta, Italy, Somalia, Ghana and Kuwait and put them in descending order.

Extension: What do you know about our number system?
Write down 7 facts about our number system.

https://www.youtube.com/watch?v=gs4DCei79N8  

Partitioning
An Example of Partitioning 
eg when adding 163 480 and 150 000, 
163 480 could be partitioned as 150 000 + 13 480, so that 150 000 could then be doubled and added to 13 480

 Why we learn about partitioning 
The reason we are learning about partitioning is to help us with...
- understand how to break up numbers

- for addition
Record on your ipad, your understanding of why and when we partition in maths and what standard and non-standard partitioning is. You may provide examples using paper. Your video should not be longer than 4 minutes. You will need to record it only after you understand what they really mean.

 - Use the image below to help with your explanation regarding "Why and When We Use Partitioning in Maths". 
http://getsmarts.weebly.com/patterns--algebra.html

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