Final Review

At the start of class we went over the practice final.  Afterwards we played a game as a means of reviewing for the final.  There is no assigned homework except to study.  Look over the three review packets and the practice final as the test be a similar format.

During review these were the topics which gave students most difficulty and you should look them over before the exam on Monday.

1.  Mixed Number Computation (adding, subtracting, multiplying and dividing)
2.  Subtracting Integers
3.  Dividing Decimals
4.  Converting fractions to decimals
5.  Finding mean, median. mode and range

Below, I also attached the answer keys to the 3 final reviews and the practice final below, if you want to complete them as a means of reviewing.

Final Review #1 - Answer Key

Final Review #2 - Answer Key

Final Review #3 - Answer Key

Practice Final - Answer Key

Practice Final

In class students worked on making correcting on the three review packets that should be completed at this point.  After all correction were completed, students were given a practice final to work on and the document is linked below. 

Math 6 Practice Final

Final Review (3)

In class we went over some of the questions on Final Review #2.  Afterwards, students were introduced to ratios and proportional reasoning and measured a number of objects around campus.  We will complete the activity on Wednesday.

The homework is linked below.

Final Review #3

Review for Final (2)

In class we played a game of Bingo to review fraction and decimal operations.  Afterwards students were given a review assignment that is to be completed for next class on Prime Factorization, Integer Operations and Coordinate Graphing.  The assignment is linked below.

Final Review #2

*Students must also make corrections on Final Review #1 to receive full credit.

 

Review for Final (1)

In class students were given a checklist that identified all the topics they will have to be familiar with for the final exam and is attached below:

Math 6 Final Checklist

Afterwards, we reviewed how to round, divide decimals and compute fractions/mixed numbers.  Student were given Final Review #1 to complete for next class which is linked below.


Final Review #1

Equation Word Problems

In class students learned how to use an algebraic equation to solve various word problems.  Students were introduced to a let statement which they will continue to use going forward.

The homework is listed below and the notes are attached.

Notes - Let Statements

HW - pg. 91 (1-25)

Multiplication and Division Equations

In Math 6 students learned how to solve multiplication and division equations.  Afterwards, students played a game to review solving one-step equations.

The class notes are attached and there is no homework.

Notes - Multiplication and Division Equations

Addition and Subtraction Equations

In class students learned how to solve one-step addition and subtraction equations.  Remember, to receive full credit students must solve by (1) showing the inverse operation, (2) circling answer and (3) showing complete check.   An example is provided below:

                                                            Solve                                           Check    
                                                      x  +  4  =  12                              x  +  4  =  12
                                                             -4      -4                              8  +  4  =  12
                                                          x     =     8                                     12  =  12


The classwork/homework is listed below and the notes are attached.

Notes - Addition and Subtraction Equations (One-Step)

CW/HW - Addition/Subtraction Equations

Writing Expressions from a table or for a sequence

In class students learned how to write a variable expression for a sequence.  An example provided below:




                                                                           5, 8, 11, 14.....3n + 2

In the expression above (3n +2) the variable, n, represents the term number so the first term (n = 1) can be found by substituting 1 in for n in the expression   3(1)+2 = 5.   Finding the expression that represents the sequence makes it easy to find any term in the sequence.  So if we wanted to find the the 100th term (n = 100) in the sequence we would substitute 100 in for the n in the expressions  3(100) +2 = 302.

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

Notes - Writing an expression from a table or sequence

HW - Read pgs. 58-59
          Complete pgs. 60-61 (1-15)

Translating Verbal Phrases

In class we worked on translating verbal phrases into algebraic expressions and equations.  Remember, the main difference between an expression and an equation is an equation has an equal sign.  We evaluate (or simplify) expressions and we solve equations.   There are a number of different words that are used to represent each of the operations (+, -, x, ÷) and exponents which are located in your notes.  The notes are linked below:


Notes - Translating Verbal Phrases


If you did not complete the homework, you should finish it for homework.


CW - pgs. 56-57 (2-34 even, 35-40)
   

HW - Read pgs. 58 - 59

Math Bingo

In class students played a game as a means to review for the upcoming final.  During class the 6th graders were buddies to the fifth graders.  The homework is to complete the assignment from the previous post for class Monday.

Evaluating Algebraic Expressions

In class students were introduced to basic algebra.  We discussed the following vocabulary words that students should be familiar with and be able to identify:  variable, constant, coefficient and term.

Below, the homework assignment is listed and I have attached the class notes.


Notes - Algebraic Expressions

HW - Read pgs. 50-51
          Complete pgs. 52-53 (1-27)

***Because of the dance concert and other activities, I will give you time in class to complete the homework.***

Quiz - Perimeter and Area

In class students took a quiz on perimeter and area.  There is no homework.

Composite Shapes and The Area of a Circle/Quiz Review

In class we reviewed how to fins the perimeter and area of various polygons.  Students learned that they only have to remember a few formulas for area because all polygons can be broken up into rectangles (A = lw) and triangles (A = 1/2 bh).  Students also learned the formula for circumference (C = 2πr  or C = πd) and the formula for the area of a circle (C = πr^2).

The Quiz review is attached and the quiz will be on Friday, April 24th.

Quiz Review - Perimeter and Area

Measuring Perimeter and Area

In class students completed a task that required them to measure the perimeter and area of a number of different object using a ruler.  The front side of the paper required students to use metric unit (decimals), while the back side required students to measure the objects using customary units (fractions). 

For homework finish the assignment which I have attached below.

CW/HW - Measuring Perimeter and Area

Area...of Square, Rectangle, Triangle, Paralellogram and Trapezoid

In class students learned how to estimate area and find the area of the following object using formulas: square, rectangle, triangle, parallelogram and trapezoid. 

The notes are attached and the homework is listed below.

Notes - Area

HW - pgs. 536-537 (11-20)
          pgs. 542-543 (8-26 even)

Perimeter and Circumference

In class students reviewed how to find perimeter of various polygons and the circumference of circles.  Students also learned how to use formulas to solve problems involving perimeter and circumference as an introduction to solving algebraic equations.

The notes are attached.

Notes - Perimeter and Circumference



For those absent or who did not finish, the classwork is as follows:

CW - pgs. 508-509 (8 - 15) and pgs. 514-515 (7 - 11)



HW - Perimeter and Circumference

Quiz - Angle Relationships

In class students took a quiz on angles relationships.  Afterwards, students reviewed perimeter.

There is no homework, have a nice break!

Quiz Review - Angle Relationships

In class student reviewed for a quiz on angle relationships by playing Math Bingo.  The quiz will be on Thursday April 2.  Below, for homework is a review sheet for the quiz.


HW - Quiz Review

Quadrilateral and Polygons

In class students learned how to classify the various quadrilaterals (ex. square, rectangle, parallelogram, rhombus and trapezoid).  Afterwards students learned about a number of different polygons (triangles, quadrilaterals, pentagons, hexagons...). 

The notes and homework are attached.

Notes - Quadrilaterals and Polygons

HW - Quadrilaterals and Polygons

Triangles

In class students learned how to classify triangles by either their side length or the measure of their interior angles.  Triangles classified by side length can be scalene, isosceles or equilateral.  Triangles classified by angle measurement can be acute, right or obtuse.  Afterwards, students learned that the interior angles of a triangle add up to 180 degrees.

The notes and homework are attached.

Notes - Triangles

HW - Angle Relationships

Complementary and Supplementary Angles

In class students learned about complementary and supplementary angles.  Students also leaned some new vocabulary related to angle measurement including congruent, adjacent and vertical angles.

The notes and classwork are attached.  The homework is listed below.

Notes - Complementary and Supplementary Angles

CW - Complimentary and Supplementary Angles

HW - Finish CW/pg. 426 (1-20)

Introduction to Geometry

In class students learned about various angles including acute, right, obtuse and straight.  Afterwards, students learned how to use a protractor to measure and draw angles.

The notes are attached and the homework is listed below.

Notes - Intro to Geometry

HW - Read pgs. 416-417 and 420-421

Decimal Test

In class students took a test on decimals.  Afterwards, students were required to read pgs. 406-407 and pgs. 410-411 as an introduction to Geometry.


HW - Read pgs. 406-407 and pgs. 410-411 if you did not have a chance to do so in class.

Decimal Review #2

Since so many students were absent or missed time during the decimal unit, we took a second day to review the material.  The test will be on Monday, March 16th.

I have attached a review sheets as a means of studying for the test.

Decimal Review #2

If you have any questions on the review we will go over them on Monday before the exam.

Decimal Review

In class students reviewed how to add, subtract, multiply and divide decimals.  They also reviewed how to order, round decimals, as well as, convert between fractions and decimals.  Students should also be able to convert between scientific notation and standard form.

The homework is listed below and the notes (review) are attached.

Notes - Decimals Review - Template

Notes - Decimal Review - Answer Key

HW - pg. 147 (10-27 all)

Dividing Decimals

In class students learned how divide decimals.  Afterwards, we reviewed all the topics covered in the decimal unit including adding, subtracting multiplying and dividing decimals, as well as converting between fractions and decimals.  Time was also allotted to review how to convert between scientific notation and standard form.

Below I linked a video that shows the algorithm for dividing decimals for those who were not present.


Khan Academy - Dividing a Decimal by a Decimal

The notes and homework are attached below.

Notes - Dividing Decimals

HW - Dividing Decimals and Decimal Review

Multiply Decimals and Scientific Notation

In class students learned how to multiply decimals.  Afterwards, students learned how to convert between scientific notation and standard form.

The notes and homework are attached.

Notes - Multiplying Decimals

Notes - Scientific Notation (large numbers)




HW - Multiplying Decimals and Scientific Notation

Review

In class students reviewed the topics we covered before break.  Students should now be able to round decimals, add/subtract decimals and convert between fractions and decimals.  Students completed a worksheet which is linked below.


Worksheet - Decimal Review

HW - finish worksheet

Converting between Decimals and Fractions

In class students learned how to convert decimals to fractions.  Afterwards, students learned to convert fractions to decimals.  At the end of the class, students completed an activity involving shooting baskets on a mini hoop.

There is no homework (have a good break!) and the notes are attached.

Notes - Decimals and Fractions

Rounding and Adding/Subtracting Decimals

In class students learned how to round and were introduced to the "approximately" symbol (≈).  Afterwards, students reviewed how to add and subtract decimals.  Students must remember to always line up the decimal point before adding and subtracting.

The notes and homework are attached.

Notes - Rounding and Adding/Subtracting Decimals

HW - Adding and Subtracting Decimals

Place Value and an introduction to Decimals

In class students were introduced to decimals and learned about place value.   Some time was spent on binary numbers as an introduction.  Students learned how to pronounce and write numbers correctly.  Students also learned how to order decimal numbers from least to greatest.

The homework is listed below and the notes are attached.

Notes - Place Value and Decimals

HW - Read pgs. 100-101
          Complete pgs. 102 (10 - 36 even; 38-44)

Fraction Project cont.

In class students were given time to work on/complete the project on fractions.  The assignment is due Friday and students are required to have all their problems worked out at that time.

Fraction Project

In class students began working on their fraction project which will be worth a quiz grade.  The requirements of the project are listed in the attachment below.  Students will have Monday Feb. 2, to work on the project.  The project will be due Wednesday, Feb 4th.

Fraction Project

HW - Fraction Project - Due 2/4/15

Fraction and Mixed Number Computation Review

In class students review the various algorithms to add, subtract, multiply and divide both fractions and mixed numbers.

Afterwards, students played a game of bingo as a form of review.

The handout is attached below and there is no homework.

Handout - Fraction and Mixed Number Computation

Dividing Fractions

In class, we learned how to divide fractions. Remember, division is the opposite of multiplication and, with fractions, we can "Leave, Change, Flip" to evaluate an expression.  "Leave, Change, Flip" means to multiply by the reciprocal.  Upon returning from break, we will be reviewing how to use the orders of operations (P.E.M.D.A.S.) to evaluate expressions with fractions.

Below is an example of how to use the "Leave, Change, Flip" method to divide. 

        6           ÷          2                                          2/3            ÷          3/4

     Leave, Change, Flip                                       Leave, Change, Flip

        6           x          1/2                                        2/3         x            4/3

                    3                                                                     8/9

Notes - Dividing Fractions and Mixed Numbers

HW - Dividing Fractions and Mixed Numbers

Muliplying Mixed Numbers

In class students learned how to multiply mixed numbers.  Students must remember to first convert all mixed numbers to improper fractions before multiplying. 

The homework is listed below and the notes are attached.

Notes - Multiplying Mixed Numbers

HW - pgs. 256-257 (29-39 odd; 53-57)

Multiplying Fractions

In class students learned how to multiply whole numbers by fractions, as well as, how to multiply a fraction by a fraction.  Remember we use the word "of" when multiplying fractions.  Finally, remember that whenever we multiply two fractions the product is always less than the two factors.

The notes are attached and the homework is listed below.

Notes - Multiplying Fractions

HW - pg. 246 (14-21)
          pg. 252 (25-34)

Quiz - Adding/Subtracting Fractions and Mixed Numbers

In class students took a quiz on adding and subtracting fractions and mixed numbers.  If you haven't read pgs. 250-251 on multiplying fractions, do so for homework. 

Quiz Review-Adding and Subtracting Fractions

In class students played a game of Jeopardy to review for the quiz on Tuesday.

The homework is a quiz review which is attached below.

HW - Practice Quiz

Adding and Subtracting Mixed Numbers

In class students learned how to add and subtract mixed numbers.  Students also learned there are situations where they will need to borrow/regroup when subtracting mixed numbers.

The homework is listed below and the notes are attached.

Notes - Adding and Subtracting Mixed Numbers

HW - pg. 242 (3-20)

Adding and Subtracting Fractions

First off, welcome back from vacation and I hope everyone had a nice break.

During class students learned how to add and subtract fractions with unlike denominators.  We worked on two different methods to add/subtract fractions and students need to choose the method that works best for them.

The notes and homework are attached below.

Notes - Adding and Subtracting Fractions

HW - Adding and Subtracting Fractions