math
journal
This journal belongs to
My Math Journal
Dear 6th graders,
Your learning journey continues with this journal.
We hope that this resource will guide you in keeping
track of all responsibilities at any moment, focusing
on important topics and having a feeling of
accomplishment. Going back through the entries can
cement your learning process and boost your
understanding. Isn't that a great way to explore
yourself in a non-judgemental way?
Notes from contributors Have a nice journey!
Dear 6th graders,
Published by: This journal is very important if you know how
K@okçoMcmaatthhTteeaamm to use it. So let's talk about how to use and
when to use this journal.
Coordinators:
FBeeykziraKDaeymair HOW?
This journal is your personal space. Do not let
Contributors: anyone into this area. Have a space where you
AAsylgı üYınlmAakz Güler can write down your mathematical thoughts
Aysun Bayrak that you share with yourself and your teacher as
Betsi Kohen much as possible. You should take lots of notes
Cemile Veziroglu here and think about them.
Evrim Erdik Tomatır
Feyza Demir WHEN?
Firdevs Meltem Akyol Here you will see the sections reserved for you
Gülcan Yonga for each week. The fact that it is filled in on a
Meral Alpan weekly basis is very valuable for you to have an
idea about the topics covered that week.
Publication place: Manage your time to fill this journal and reflect
RGeükmlüasmsovyeMPaaztb.Saaanc.Tıilcık.Ltd.Sti. your feelings.
0216 418 88 38
Are you ready to start? We're so excited to meet
with you again. May your path be bright and full
of adventures.
WELCOME to Grade 6!
Koç Math Team
-1-
MY SCHOOL YEAR IN PIXELS
Take a couple of minutes to
think back over the day. Be
honest!
Which color best represents
feelHinogwtaodmaIy?how you feel today?
Rdeamyemlabstesr;onelvyenfoyro2u4r whoorustrs !
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GUMBALL MACHINE HABIT TRACKER
tDhuisriwnegek
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Date: Score:
TOPICS
Score:
Date:
TOPICS Score:
Date: Score:
TOPICS
-4-
Date:
TOPICS
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NATURAL NUMBERS
FACTORS & MULTIPLES
SETS
INTEGERS
COMPARING FRACTIONS
ADDITION & SUBTRACTION OF FRACTIONS
MULTIPLICATION & DIVISION OF FRACTIONS
CONVERSION AND EXPANDED FORMS OF DECIMALS
ROUNDING DECIMALS
MULTIPLICATION & DIVISION OF DECIMALS
PROBLEMS
EQUIVALENT RATIOS
RATE AND UNIT RATE
KM/H TO M/S
ALGEBRAIC EXPRESSIONS
SUBSTITUTION
SIMPLIFYING ALGEBRAIC EXPRESSIONS
COLLECTION OF DATA
DISPLAY OF DATA
ANALYSIS OF DATA
ANGLES
AREA
CIRCLE
SOLIDS
UNITS OF MEASURING VOLUME & CAPACITY
VOLUME OF RECTANGULAR PRISM
PROBLEMS
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This plan is designed to help you keeping track of all responsibilities at any
moment, focusing on important topics and having a feeling of
accomplishment. Fill this table each week regularly.
WEEKS Weekly Plan / Main Topics
Week 1 NOVEMBER BREAK
September 5-9
Week 2
September 12-16
Week 3
September 19-23
Week 4
September 26-30
Week 5
October 3-7
Week 6
October 10-14
Week 7
October 17-21
Week 8
October 24-28
Week 9
October 31-Nov 4
Week 10
November 7-11
November 14-18
-9-
How was your first week in Math?
What did you do in class?
MY MATH TEACHER
NAME: ________________
e mail: ________________
Office : ________________
-10-
short term goals
long term goals
my big someday
-11-
NATURAL NUMBERS
Exponents Keep yourself
Order of operations motivated towards
Properties of natural numbers studying your topics !
FEEL FREE TO CHECK
THEM REGULARLY
Distributive property
Word problems Eyacococgulahmoorcsatthpeilomislreeptavetiocneeys,damoytaguotesaeunmit’tnl.alainfrsekgeenyl soeuor f
Factors and multiples
Divisibility rules
Prime numbers
Prime factorization
GCF_Greatest Common Factor
LCM_Least Common Multiple
-12-
Exponents
itna'soinnFtnodseetlslrtcouahewkcesetsriyeaoyornowuysu!rhrcteasenpraeeecvfchueierlalrly's
-13-
Order of Operations
-14-
Order of Operations
-15-
Solve each of the exercises and shade your answer according to
the given model.
-16-
Solve and color
-17-
Properties of operations
ASSOCIATIVE
COMMUTATIVE
DISTRIBUTIVE
IDENTITY
ZERO
ELEMENT
-18-
Distributive Property
-19-
MY DISTRIBUTIVE PROPERTY GIFT BOX
Choose a pair of number to multiply.
Calculate your product once more using distributive property of
multiplication over addition and subtraction.
Check all of your results.
WHAT HAVE YOU REMARKED?
Color your work.
... x ...
... x ( ... + ... ) = ... x ( ... - ... ) =
... x ( ... - ... ) = ... x ( ... + ... ) =
REMARK : ______________________________________________
______________________________________________
______________________________________________
-20-
Word problems_KEY WORDS
-21-
Word problems_
-22-
Exponents
Order of operations
Properties of natural numbers
Distributive property
Word problems
Factors and multiples
Divisibility rules
Prime numbers
Prime factorization
GCF_Greatest Common Factor
LCM_Least Common Multiple
-23-
Factors and Multiples
https://www.twinkl.com.tr/resource/t2-par-110-factorpus-finding-factors-activity-sheet
-24-
RAINBOW METHOD
20
Factorize 180 by rainbow method.
-25-
Divisibility Rules
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Divisibility Rules
-27-
Prime Numbers
-28-
Prime Numbers up to 100
-29-
- Prime Facts -
Prime numbers keeps your money safe!
Prime numbers in nature
Prime numbers in popular culture
Prime numbers in Candy Crush
-30-
Prime Puzzle
In the following challenge, you travel from ''Start'' to ''Finish''. In no specific order or direction
from one adjacent circle to another, keeping the accumulating sum total always equal to another
''prime'' number. Values in adjacent circles can be used more than once but ''ping-ponging''
between circles (i.e, returning immediately to the circle that you have just left) is not allowed. The
following challenge is to finish with a sum total of 79 which is a prime number.
You may finish the course at
Mathigon about prime
numbers. Scan the code.
Analog Clock
A standard analogue clock face has numbers 1 to 12 around the edge arranged sequentially,
which is nice for telling the time, but not especially interesting. It is possible to arrange the
numbers in a different order so that the difference between any two adjacent numbers is
prime.
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Prime Factorisation
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Prime Factorisation
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GCF & LCM
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GCF & LCM
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What did you learn in this unit? Can you briefly summarize?
Have you ever thought "WHY" while working ?
Where can you use these subjects in your daily life?
-36-
If you want to visualize this unit what would it be like?
You may design a cover page for your Booklet #1
-37-
VOCABULARY
-38-
SELF ASSESSMENT
I can express the repeated multiplication of
a natural number by itself as an exponent
and determine the value of exponents.
I can do four operations considering the
order of operations.
I can take out common factor and use
distributive property in natural numbers.
I can solve problems about four operations.
I can determine factors and multiples of
natural numbers.
I can explain and use the rules for divisibility
by 2, 3, 4, 5, 6, 9, and 10.
I can identify prime numbers by their
properties.
I can identify the prime factors of natural
numbers.
I can identify the common divisors and
common multiples of two natural numbers
and solve related problems.
I can use terminology about natural
numbers unit.
TEACHER NOTES
-39-
PUZZLE GAMES -Skyscrapers
Rules / Objectives Summary
Complete the grid such that every row and column contains the numbers 1 to
the size of the grid.
Each row and column contains each number only once.
The clues around the outside tell you how many skyscrapers you can see.
You can't see a shorter skyscraper behind a taller one.
See the Walkthrough or Advanced Features below for extra tips and
tricks.
ANSWER
Here are a few examples of how the clues help
us to see which skyscrapers we might be able
to see:
-38-4- 0-
ANSWERKEY
WEEKS Weekly Plan / Main Topics
Week 11 SEMESTER BREAK
November 21-25 SEMESTER BREAK
Week 12 -43-
Nov 28-Dec 2
Week 13
December 5-9
Week 14
December 12-16
Week 15
December 19-23
Week 16
December 26-30
Week 17
January 2-6
Week 18
January 9-13
Week 19
January 16-20
January 23-27
January 30
February 5
SETS - INTEGERS
Defining a set
Being an element
Number of elements - Empty set
Representation of sets
Set operations - Union & Intersection
Set of Integers - Z
Integer problems
Absolute value
Comparing and ordering integers
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Sets
-45-
Sets
While looking at the Venn Diagram given below,
Can you figure out this delicious dessert by looking at the ingredients?
wHohwichcadnesysoeurtuinsdtehriss?tand
Whastt'rsaytoeugry? Your answer:
Ytouurrn Please create your own Venn diagram below!
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