Return Quizzes

In class students went over their quizzes after which we watched a holiday movie.  Have a great break!!

Quiz - Fraction Basics

In class students took a quiz on fraction basics.  Students has to make equivalent fractions, put fractions in simplest form, convert between mixed numbers and improper fractions and finally compare/order fractions. 

There is no homework.

Review for Quiz

In class students played bingo as a means of reviewing for the quiz on Tuesday, December 16th.  The quiz will be on (1) Reducing/simplifying fractions, (2) Converting mixed numbers to improper fractions, (3) converting improper fractions to mixed numbers, (4) Comparing/ordering fractions finding a common denominator.

The homework is attached below.

HW - Quiz Review

Comparing and Ordering Fractions

In class students learned how to compare and order fractions using three methods.  The first method was to draw a visual using a ruler and compare the sizes of the shapes.  The second method was to find a common denominator by multiplying the denominators; then comparing the numerators.  The third and final method was similar to the second method except this time students are finding the least common denominator.

The notes and homework are attached.

Notes - Comparing and Ordering Fractions


HW - "Books Never Written"


*Quiz Friday 12/12 on the following topics:

                                         1) Reducing/simplifying fractions
                                         2) Converting between mixed numbers and improper fractions
                                         3) Comparing and ordering fractions
                                         4) Drawing fraction visuals using a ruler in both standard and metric units.

MIxed Number and Improper Fractions

In class students learned how to convert between mixed numbers and improper fractions.  There was also discussion during class comparing/contrasting standard units (inches) and metric units (cm).

The notes and homework are attached below.


Notes - Mixed Numbers and Improper Fractions


HW - Mixed Numbers and Improper Fractions

Simplifying Fractions

In class students reviewed how to simplify fractions using two different methods: (1) the prime factorization method and (2) the common factor method.

The notes and homework are attached.

Notes - Equivalent Fractions

HW - Simplifying Fractions

Quiz - Factors and Multiples

In class students took a quiz on factors and multiples.  There is no homework.  Have a good weekend.

Quiz Review - Factors and Multiples

In class students reviewed for their quiz on Friday 11/20 that will cover the following topics:

1) Divisibility Rules for 2, 3, 4, 5, 6, 9, 10, 12....know the rules/tricks
2) Factoring
3) Prime Factorization
4) Greatest Common Factor (GCF)
5) Least Common Multiple (LCM)


Students should also be familiar with the prime factorization method to find GCF/LCM using a Venn Diagram.

The homework is to study for the quiz but I also put up a second quiz review sheet, along with the answer key, that students can use to study for the assessment. The assignment is optional but good practice.


Review - Factors and Multiples

Answer Key - Review - Factors and Multiples




         

Least Common Multiple (LCM) and Venn Diagrams

In class students learned how to use the list method to find the least common multiple of 2 or more numbers.  Afterwards, students learned how to use a Venn diagram to find both the GCF and LCM of two numbers.  The list method is fine when dealing with small numbers but the prime factorization method (Venn diagram) is great for larger numbers.

The homework is listed below and the notes are attached.


Notes - LCM and Venn Diagrams


HW - Read pgs. 218-219
          Complete pgs. 220-221 (10-40 even)

**Quiz Friday on:  (a) Divisibility Rules, (b) Factoring, (c) Prime Factorization,
                                 (d) GCF and (e) LCM.**

Greatest Common Factor (GCF)

In class students reviewed the divisibility rules, factoring and prime factorization.  Afterwards students learned how to find the greatest common factor (GCF) of 2 or more numbers using the list method.

The Notes and Homework is attached below.


Notes - Greatest Common Factor (GCF)


HW - Div. Rules, Factoring, PF and GCF

Divisibilty Rules, Factoring and Prime Factorization

In class students were introduced to the divisibility rules for the number s 2, 3, 4, 5, 6, 9, 10 and 12.  There are specific rules for each number and students should pay close attention to the rules for 3, 4, 6, 9 and 12 as it may be the first time they have encountered the rules.  Below, I have attached a reference sheet with the rules:

Reference Sheet - Divisibility Rules

Afterwards, students learned how to use the divisibility rules to factor and fins the prime factorization of a number.  We will finish the notes next class but in the meantime I have attached a document with examples of factoring and prime factorization:

Examples - Factoring and Prime Factorization

The homework is listed below.

HW - Read pgs. 161-162
          Complete pg. 163 (13-21)

Test - Integers

In class students took a test on integers.  Afterwards, students read two sections from the textbook on divisibility rules and prime factorization.

The handou is linked below and we will go over it on Monday Nov. 10.

 Handout - Divisibility Rules

There is no homework.

Test Review 2

Happy Halloween!

In class students continued to review for the test on integers which will be administered on Nov. 4th.  For homework students should study for the exam using both their flash cards and Test Review #2 which is linked below.

Test Review #2


Below, I also linked the answer key students can use upon completing the review.


Answer Key - Test Review #2

Test Review (1)

In class students finished making 20 flash cards that will help with reviewing for the test on Tuesday Nov. 4th.  Afterwards, students completed an activity using the flashcard.  For homework, students are to complete a practice test which is attached below.

HW - Test Review - Integers

Multiplying and Dividing Integers

In class students reviewed adding and subtracting integers by making flash cards.  Afterwards, students learned how to multiply and divide integers.

The homework and class notes are attached.


 Notes - Multiplying and Dividing Integers


HW - Multiplying and Dividing Integers

Subtracting Integers Cont.

In class, we reviewed how to use visuals (integer chips and the number line) in order to add and subtract integers.  Students then took a brief assessment showing they had mastered the skill.

Afterwards, as a class, we came up with the rules for subtracting integers and learned that we can re-write any subtraction problem as an addition problem by just adding the opposite.  The following s an example:

                                                         5 - (-7)
                                                         5 +  7          - the opposite of -7 is 7.
                                                            12

...and this should make sense to students as the difference (subtraction) between 5 and -7 is 12, or visually, 5 and -7 are 12 spots apart on the number line.

The homework is listed below and the notes are attached.

Notes - Subtracting Integers (2)

HW - pgs. 620-621 (23-42)

Subtracting Integers

In class students learned one of the most difficult skills in the 6th grade curriculum: subtracting integers.

When subtracting integers, students should:

                                         1) See if the expression works using the word "take away" and, if so,
                                             use integer (+/-) chips.

                                           
                                                                or (if the above does not work)
                              

                                         2) Find the "difference" between the two digits by:
                                    
                                                         a.  Determining the sign (+/-) of the number

                                                         b.  Use the number line to find the difference



Afterwards, students finished a classwork activity. 

The homework and class notes are attached below.

Notes - Subtracting Integers

HW - Adding and Subtracting Integers Challenge

Golf Outing

In class students went to the MPH country club to play 2 rounds of miniature golf.  For homework, finish the back part of the classwork.  For those who were absent, I will catch you up next class.

Histograms

In class students reviewed mean, median, mode and range.  Afterwards, students learned how to construct a histogram.  As we finished up class, students were collecting class data in order to calculate a variety of statistics and create a number of different displays.

The homework and notes are attached below.

Notes - Quantitative Data

HW - Statistics and Histograms

Basic Statistics cont.

In class students played "integer war" with playing cards to improve their understanding of adding integers.  Afterwards students reviewed the various statistics for quantitative data including mean, median, mode and range.  We will continue working on the topic next class.

There is no homework.

Basic Statisitics

In class students took Quiz #2 on Transformations and Adding Integers.  Afterwards, students began reading about basic statistics for quantitative data: mean, median, mode and range.

The homework is listed below


HW - Read pgs. 288-289 and 291-293
          Complete pg. 290 (1-4, 15)

Adding Integers (cont.)

In class students played a review game for the quiz that will be administered on Wednesday 10/8.
Attached below is the homework which is a quiz review.

HW - Quiz Review - Transformations and Adding integers

Adding Integers

In class student learned how to add integers using the number line, as well as, add integers using +/- chips.  We also took time to write verbal phrases to represent situations involving integers (ex. temperature, bank accounts, golf, atoms).

The notes are attached and there is no homework.

Notes - Adding Integers

Transformations (2)

In class students continued working on transformations.  Students were introduced to rotations.  Rotations are a movement around a point and the point we use the origin (0, 0).  Remember, for rotations, the x and y values always flip.

The class notes are attached and the homework is listed below.

Notes - Transformations

HW - Read pgs. 615-616 - Adding Integers

Transformations (1)

In class students were introduced to transformations.  Students should be familiar with the vocabulary words congruent, which means same size and same shape, as well as vertex, which is the point at which where two lines meet.

In class, we covered two transformations, a translation or movement of an object, and a reflection, or mirror image of an object.

The notes will be attached to the next post when completed and the homework is attached below.

HW - Translations and Reflections

Also, below is a youtube video clip of the Ohio State Marching Band using translations to create video game characters.

Video - Ohio State Marching Band - Video Games

The Coordinate Plane

In class, students took their first quiz on exponents, number properties and the order of operations. 

Afterwards, students were introduced to the coordinate plane and learned how to graph, as well as, locate points on a graph.

The notes and homework are attached. There is also 2 pages of reading to do for next class (pgs. 608-608)

Notes - Integers and the Coordinate Plane

HW - Worksheet - Coordinate Graphing

HW - Read pgs. 608-609

Introduction to Integers/Quiz Review

In class students were introduced to integers and some new vocabulary words including integers, absolute value and opposites.

Afterwards, we played bingo as a way to review for the quiz on Friday.

HW - Study Notes for Quiz #1

Order of Operations (cont.)

In class students continued evaluating numerical expressions using the order of operations.  The homework worksheet is attached and there is some reading as well. 

HW - Quiz Review

HW - Read pgs. 594-594 and pgs. 598-599


**Quiz #1 on Friday**

Order of Operations

In class student learned how to use the order of operations (PEMDAS) to evaluate numerical expressions.  Afterwards, students, on their own, evaluated a number of expressions using the order of operations.

The homework and notes are attached below.

Notes - Order of Operations

HW - Numerical Expressions

*Quiz #1 - Friday, September 19th

Number Properties

In class we reviewed exponents.  We reviewed the language used when talking about exponents as well as a little history (Archimedes from Syracuse, Italy). 

Afterwards, students were introduced to three number properties that they will need to be familiar with going forward which are as follows:  The Commutative Property, the Associative Property and the Distributive Property.

The notes are attached and the homework is listed below.

Notes - Exponents and Number Properties

HW - Pg. 24 (45-55)
          Read pgs. 18-21

Exponents

In class students learned about exponents.  Students should be able to identify the base, exponent, and power.  Students should also know that "two squared" means "two to the second power" and "three cubed" means 'three to the third power."

The notes will be attached to the next post when completed.  The homework is listed below.

HW - Read pgs. 22-23 in the textbook.

Math Vocabulary

In class students reviewed the various words for addition, subtraction, multiplication and division.  Pay close attention to the following words:  sum for addition, take away and difference for subtraction, product, times and of for multiplication and quotient for division.

The notes are attached below and there is no homework.

Notes - Computation Review

Great First Day!

Welcome Back! I enjoyed meeting all of you today and getting back into the swing of things.  Below, I have attached the course syllabus.


Math 6 - Syllabus


HW - Signed Syllabus