Starting GeoGebra

Over the next few lessons, we will be starting GeoGebra. For today, we will be making a simple cumulative frequency table and graph on GeoGebra. Instructions on what to do is below….

 

  1. First – install GeoGebra 4.2 from HERE
  2. Open GeoGebra. Don’t forget to turn on the Spreadsheet view. (View -> Spreadsheet View)
  3. Add some data into the Spreadsheet. I suggest using data from Q6 Ex 12.03, but make the Outcome 0-13. A = Outcome, B = Frequency, C = C.F
  4. Make coordinates for the outcome and C.F. Follow my instructions on how to do this – I’ll explain verbally.
  5. Remove SHOW LABEL. I can show you how to do this individually – there is also a way of doing this all together
  6. Now choose New Point and Polymod. Click on each point and press the first point when finished. A line now exists between all points.
  7. Save your work. We will use this next lesson.
  8. Complete your Math Report

More Instructions coming soon.

When finished – you can complete your Math Report. Also – save your file as we will use it again on Thursday

A Large Range of Questions

Today, we are continuing on with statistics. The areas of range, mean, median and mode will be explored. Questions to be completed are Ex 12.02 Q 3-8 pm Page 411/412

Grade 6 Science – Our Next Few Lessons

In the next few lessons – we will complete the following 3 activities:

  1. Complete your experiment
  2. Make a Blog Post About Ueno Zoo
  3. Complete Study Guide for Upcoming Test

Instructions for Blog Post

Today, we will also be completing a blog post which I want some detail in your answers. Complete the following questions and include some pictures if possible. You may change how the questions are written on your Blog Post
  • Describe what you did at Ueno Zoo. Have a heading of “What We Did”.
  • Describe the general living environment of the different animals you visited. Was the enclosure large/small, did it look natural or man made, were the a lot of animals or few animals in the enclosure. Include pictures if you have some
  • Did the animals look happy? Explain and include pictures if you have them
  • Why do you think we have zoos? Explain why
  • If you were an animal at the zoo, do you think you would be happy living there?
  • What do you think the zoo could do to improve the lives of the animals at the zoo?
  • Should we have zoos, or should we visit zoos? What do you think and explain why.
  • Any other comments that you think would be interesting to the readers.

Study Guide Questions

Answer the following questions

  • Describe what a habitat is, giving one example
  • What is an ecosystem? Give an example
  • Describe the seven main living processes (MRSGREN) Movement, Respiration, Sensitivity, Growth, Reproduction, Excretion, Nutrition.
  • Be able to describe different physical features of an animal which helps it live in it’s environment
  • Be able to describe different behavioral features of an animal which helps it live in it’s environment
  • What is the difference between a food web and a food chain? Give examples.
  • Be able to draw a simple food web or food chain for different living organisms
  • Describe and identify living organisms which are producers, primary consumers, secondary consumers, top predator or carnivore, herbivores and omnivores
  • What is a diagnostic key? How can we use a diagnostic key to classify different things?
  • How do animals produce their first cell? Give basic information.
  • What is the difference between asexual and sexual reproduction in animals? How are they different?
  • Explain how most cells reproduce and give examples in both plants and animals

Supporting PPTs are HERE, HERE, HERE, HERE HERE and HERE

Your Experiment

Your experiment instructions can be found HERE. The Write Up Sheet can be downloaded HERE

Cumulative Frequency

For today, we will be looking at cumulative frequency tables. It’s just a normal frequency table, but you add the total number of outcomes for that specific number (we will talk about this in class). Today’s work is below:

 

Ex 12.01 Q 4, 5, 7 & 9 on Page 407-409

It’s Probably The Last Time We Do This!!

It’s A Friday! It’s Period 8 ! So what exciting activity are we completing? Pop Quiz??? No…. Test??? No…. Textbook Work? Umm yeah – your really going to do that now!! What about playing cards under the guise of working on probability?? Umm – it’s probable we might do that…

So – get into groups of 3 or 4 students. Then go to THIS DOCUMENT and choose one person from your group to speak to me. This person will be called THE CHOSEN ONE!!

This person will be given instructions to follow. Each group will play 21 a total 20 times. Write down in the document who wins how many times. There needs to be a total of 20 wins.

Once finished – answer the following questions:

  1. Which person won the most? Was there a pattern to this?
  2. What rule did you follow to try and win the most? Did it work most of the time? Yes or no and explain why….
  3. Is 21 a game of skill or luck? Explain why you think this way….

Some Extra Tree Diagram Questions

Below are some revision questions for tree diagrams since there are not many questions in the revision packet.

 

Q1) There are 5 Blue Sweets, 2 Green Sweets and 1 Orange sweet in a packet. If you remove one sweet, it will not be replaced.

a. Draw a tree diagram for the above if two sweets are removed.

b. Find the probability for the following if 2 sweets are removed:

P (Getting 2 blue sweets)

P (Getting an Orange Sweet)

P (Getting 2 Orange sweets)

P (Getting 2 Sweets of the same color)

What is the change of getting 3 blue sweets if 3 sweets were removed?

 

2) You have 2 dice with the numbers 1, 2, 3, 4, 5, 6. They are both rolled at the same time.

a. Draw a tree diagram to show the different options when rolling two dice.

b. Show the probability of getting the following: when rolling two dice

P (rolling one 6)

P (rolling two 3′s)

P (total score is 9)

P (rolling a 3 but not a 5 or 6)

Grade 6 Ueno Zoo Brochure & Blog Post

Over the next few weeks, we will be completing a brochure from our trip to the Zoo along with a corresponding blog post. Instructions are below and criteria are HERE

 

Brochure Instructions

Page 1

  • Name Your Animal
  • Include a picture of your animal
  • Name the origin of your animal
  • State “Current Residence is Ueno Zoo”
  • State “Brochure Made By Your Name”
Page 2
  • Answer Question “What has been done at the zoo to re-create the animals natural environment?”
  • Answer Question “How could the zoo improve the man-made environment to meet the animals needs? Was this done well/not well?
Page 3
  • State basic information about animal. This might include it’s size, the conditions the animal likes to live in, basic food chain, what plants and animals normally live near the animal etc
  • Include a glossary with key words and their meaning for your animal
Page 4/5
  • Complete a Venn Diagram that compares the man-made environment, natural environment and similarities
  • Analyse how well you think the zoo has met the needs of the animal
  • Describe how the animal is fed in the zoo/natural environment
  • What Science has been used to meet the animals needs?
  • Where does the animal sleep at the zoo and in it’s natural environment
Page 6
  • Complete a bibliography using MLA format
Our Blog Post
Today, we will also be completing a blog post which I want some detail in your answers. Complete the following questions and include some pictures if possible. You may change how the questions are written on your Blog Post
  • Describe what you did at Ueno Zoo. Have a heading of “What We Did”.
  • Describe the general living environment of the different animals you visited. Was the enclosure large/small, did it look natural or man made, were the a lot of animals or few animals in the enclosure. Include pictures if you have some
  • Did the animals look happy? Explain and include pictures if you have them
  • Why do you think we have zoos? Explain why
  • If you were an animal at the zoo, do you think you would be happy living there?
  • What do you think the zoo could do to improve the lives of the animals at the zoo?
  • Should we have zoos, or should we visit zoos? What do you think and explain why.
  • Any other comments that you think would be interesting to the readers.
Please include pictures if you have them, along with general comments. I do expect this to be posted on your blog soon.

Tree Diagrams

For todays lesson, we will be completing some tree diagrams and collating the probability of certain events occuring. Instructions on what to do is below.

 

  1. Neil likes dice. So, he decides to roll 3 of his 3 sided dice. Construct a tree diagram which shows the different options he might roll.
  • What is the probability of rolling at least two 6′s?
  • If Neil was to add all of the possible dice combinations together, which number will be the highest probability of rolling?
  • What is the probability of rolling one 1?
  • What is the probability of rolling one 2 and one 3?
  • What is the probability of rolling a 3 and not a 2? Explain.
  • 2)Claude loves to use his awesome magical skills to amaze, confuse and humble his fellow classmates. His main trick uses 4 face card from a deck of cards (1, 2, 3, 4). His trick involves you picking three cards and him telling you what the total of your cards will equal
  • Construct a tree diagram showing the different outcomes from the 6 cards available if we take a total of 3 cards. Remember that the cards are not replaced?
  • Which number will be the most common? What probability do we have of getting this number?
  • Which score/s is the least likely to be chosen by any specific student.
  • If you were Claude’s enemy and you wanted to find out his trick to this awesome piece of magic (aka probability), what would be your rule?
  • Akari was really annoyed with Claude as he did not say hi to her as he walked past her this morning. As such, Akari used her own magic by replacing every card with the exact identical card taken out by Claude. Contruct a new tree diagram that shows the different options for choosing three cards which are now replaced (1,2,3,4).
  • What is the most common score? What probability is there of getting this score?
  • How does this change the probability of Claude choosing the correct answer? Explain using the data you have collected.

It’s Probably Fun Activity

For today, we will be looking at some generalized experimental probability through the classic game of 21. We will also complete the students favorite activity – textbook work!! General instructions are below:

 

21 Activity

  • For this activity, you need to get into groups of 3 or 4 students. We will be collecting some results and looking at the data to interpret the probability of winning a game.
  • First, complete the following questions in your notebook.
  1. Which number do you think will be the most common winner in the game of 21? Explain why.
  2. Do you think the game of 21 is fair or not fair? Explain why
  3. Is 21 a game of skill or a game which requires skill and knowledge. Explain
  • Once every student in your group has finished, then I want you to play the game of 21 a total of 15 TIMES. Please remember record the winning number in THIS DOCUMENT on Page 1. Don’t worry – the statistics part of this game will automatically be completed for you. We will learn this in your next topic after your exam.
  • We will have to wait for all groups to finish the game. As such, you can finish the work from last lesson - Ex 4.02 Q 3-5 on Page 102
  • When all groups have finished, then complete the following questions…..
  1. Did the games of 21 you played seem fair? Explain why.
  2. Which number was the most common? Was this different than what you were expecting?
  3. Do you think there is an easy way to work out the probability of winning this game? Explain the best you can.
  4. Is the game of 21 a combined event or independent event? Explain why

Once you have completed this – you can start the fun work of working from a textbook. Complete Ex 4.03 Q 5-9 on Page 108. Remember to always show the probability using the probability of an event equation:

 

P(E) = n(E) / n(S)

E = Number of ways the event can occur

S = Number of ways all events can occur

Remember that P(E) will always be 1 or under

Probability Introduction

For today, we will be completing two small activities. Instructions are below:

 

  1. Go to the following website HERE. Try these games (4 of them) and tell us in your notebook if the game is fair or not and why. 1 or 2 sentences per game should be enough
  2. Complete some really fun questions from Ex 4.02 Q 3-5 on Page 102.

Remember the simple general rule for probability…

Experimental Probability = Number of times the event occurred / total number in sample

In time, we will also complete some small activities which DO NOT use the textbook or coins/dice.

Our general skills we will learn for this activity include:

  • Calculate the probability of simple combined events using probability diagrams.
  • Construct and use tree diagrams with and without replacement.

As you can see, it’s quite a short unit and A LOT easier than what you have completed previously. I expect there to be limited homework for this unit which should give you time to revise for your upcoming exam.