Objective I can represent multiplication and division on a number line and with counters. I can use multiplication and division to solve real life problems.

Multiplying with Positive Numbers 2 4= How many groups How many in each group

Represent on Number Line 2 4= How many groups How many in each group \ First Group of 4 Second Group of 4

Multiplying with Unlike Signs 2 (-4)= How many groups How many in each group

Represent on Number Line 2 (- 4)= How many groups How many in each group \ First Group of 4 Second Group of 4

Multiplying with Negative Numbers - 2 (-4)= What is the opposite of a positive? If the first number is negative, we must switch the sign of both numbers.

Represent on Number Line -2 -4= How many groups How many in each group \ First Group of 4 Second Group of 4 If the first number is negative, switch the sign for both numbers!

Tony’s Job Tony is working at a coal mine. The elevator in the mine shaft descends 250 feet per minute. How many feet would he descend in 2 minutes? If we were to label the amount on a number line, would this be negative or positive?

Homeroom Instruction Come in quickly & quietly Go to your desk. Take out your AR book and read Raise your hand to ask to sharpen your pencil. Put your backpack underneath your desk. No talking.

Bellwork Day Three Caleb ate c carrots and p pickles each day for a full week. He used the expression to 7(c+p) represent the number of vegetables he ate that week. Which equation correctly shows the Distributive Property? A. 7(c + p) = 7(cp) B. 7(c + p) = 7c + p C. 7(c + p) = 7c + 7p D. 7(c + p) = 7 + (c + p)

Word of the Week Associative Property: states that the change in grouping of three or more addends or factors does not change their sum or product. Addition: (2 + 3) + 5 = 2 + (3 + 5) Multiplication:(4 x 5) x 10 = 4 x (5 x 10) Associative property holds good for both addition and multiplication, but not for subtraction and division.

Review-Think, Pair, Share

Objective I can multiply and divide rational numbers

Multiply Fractions & Mixed Numbers Rules to Remember -Positive x Positive= Positive -Positive x Negative= Negative -Negative x Negative = Positive -Fractions-Multiply across -Mixed Numbers- Convert to improper fractions and multiply across. Simplify

Dividing Fractions & Mixed Numbers

You Try!

Dividing Fractions & Mixed Numbers

Homeroom Instruction Come in quickly & quietly Go to your desk. Take out your AR book and read Raise your hand to ask to sharpen your pencil. Put your backpack underneath your desk. No talking.

Bellwork Day Four The square root of 105 is between which two numbers? F. 4 and 5 G. 9 and 10 H. 10 and 11 J. 20 and 21 Answer: Show your Work: Why?

Word of the Week Associative Property: states that the change in grouping of three or more addends or factors does not change their sum or product. Addition: (2 + 3) + 5 = 2 + (3 + 5) Multiplication:(4 x 5) x 10 = 4 x (5 x 10) Associative property holds good for both addition and multiplication, but not for subtraction and division.

Guess that Word

Objective I can identify math properties. I can use properties to solve problems.

Why Learn about Properties 36 2/3

Properties Commutative Property: Reversing the order of addition or multiplication will produce the same product or sum -Addition: a + b= b+ a -Multiplication: 5 x6 = 6x 5 Associative Property: changing a grouping rearranged parenthesis, but kept everything else in the same order will produce the same product or sum -Addition: (2 + 3) + 5 = 2 + (3 + 5) -Multiplication: :(4 x 5) x 10 = 4 x (5 x 10)

Properties Distributive Property: product of a number and a sum is equal to the sum of the individual products of addends and the number -Multiplication over Addition: 3(4+5)=27 -Multiplication over Subtraction: 3(4-5)=-3 Identity Property: states that the sum of zero and any number or variable is the number or variable itself/ product of 1 and the number is itself -Additive Identity: 4+0=4 -Multiplicative Identity 4x1=4

Activity/Matching Cards Order the cards Match the correct property with the equations Place card back in ziplock bag

Grading Quiz A students has just turned in an assignment and you are going to check their quiz. You will mark the incorrect answer with a check and give them feedback about why their answer or reasoning is not correct. Post their grade at the top of the sheet

Homeroom Instruction Come in quickly & quietly Go to your desk. Take out your AR book and read Raise your hand to ask to sharpen your pencil. Put your backpack underneath your desk. No talking.

Bellwork Day Five Which equation is true for all the x- and y-values in the table? A. y = 3x + 2 B. y = 3x − 2 C. y = 2x + 3 D. y = 2x − 3 Answer: Show your Work: Why? XY

Word of the Week Associative Property: states that the change in grouping of three or more addends or factors does not change their sum or product. Addition: (2 + 3) + 5 = 2 + (3 + 5) Multiplication:(4 x 5) x 10 = 4 x (5 x 10) Associative property holds good for both addition and multiplication, but not for subtraction and division.

Objectives I can identify variables. I can understand the order of operations. I can solve equations and word problems with substitution.

Variables & Substitution Variable:A symbol for a number we don't know -Example- x y a b Constant: a non-varying value Substitution: place in for another Example: Evaluate 2 (a + b) if a=2 b=4

Examples #1 Evaluate 2b 2 -3a a= 5 b=3

Example #2 ½ (x- 1 ¾) for x=2

Example #3: Word Problems A florist uses a formula to determine the cost for making a bouquet : c= h, where c is the cost of making the bouquet and h is the height, in inches, for each bouquet. What is the cost of making a 20-inch bouquet?

Homeroom Instruction Come in quickly & quietly Go to your desk. Take out your AR book and read Raise your hand to ask to sharpen your pencil. Put your backpack underneath your desk. No talking.

Bellwork Day One Johnna’s reading rate is 150 words per minute. She is reading a 364-page book that has about 275 words on each page. At this rate, which is closest to the amount of time Johnna should take to read the book? F. 10 hrs G. 11 hrs H. 12 hrs J. 13 hrs Answer: Show Work: Why?

Bellwork Day Two John bought 25 ½ yards of rope. He is going to cut the ribbon into smaller pieces that are each ¾ yard long. What is the maximum number of ¾ yard-long pieces of ribbon that can be cut from the original length of the ribbon? Answer: Show Work: Why?

Word of the Week Ratio: A ratio shows the relative sizes of two or more values. Example: if there is 1 boy and 3 girls you could write the ratio as: 1:3 (for every one boy there are 3 girls) ¼ are boys and 3/4 are girls 0.25 are boys (by dividing 1 by 4) 25% are boys (0.25 as a percentage)

Objective I can solve word problems using division and multiplication

Key Word for Multiplication & Division Multiplication Division -per, a -out of -ratio of, quotient of -percent (divide by 100) of times, multiplied by product of increased/decreased by a factor of doubled, tripled, quadrupled, etc.

How to Solve it Understand the Problem -Underline the question - Circle Key word - Restate the question Devise a plan Carry out the Plan Check Your Work

Faith’s Rope Faith bought 8 2/3 yards of ribbon. She is going to cut the ribbon into smaller pieces that are each 1/3 yard long. What is the maximum number of 1/3 yard-long pieces of ribbon that can be cut from the original length of the ribbon?

Bill’s Construction Company A construction company is building concrete pillars at the entrance of an auditorium. Each pillar require 5 ½ cubic yards of concrete. How many cubic yards will require to construct 6 pillars?

Word Problem Instructions Pick 3 word problems from the “Rational Number Choice Board” worksheet Write the entire word problem on the “word problem” section. Personalize the problems. Show your work and solve the problem in the “Show your Work” section. Circle your answer Write a detailed explanation of how you solved the problem in the “Explain Your Answer” section Draw a picture and create a title. Please color and decorate.

Homeroom Instruction Come in quickly & quietly Go to your desk. Take out your AR book and read Raise your hand to ask to sharpen your pencil. Put your backpack underneath your desk. No talking.

Bellwork Day Two John bought 25 ½ yards of rope. He is going to cut the ribbon into smaller pieces that are each ¾ yard long. What is the maximum number of ¾ yard-long pieces of ribbon that can be cut from the original length of the ribbon? Answer: Show Work: Why?

Word of the Week Ratio: A ratio shows the relative sizes of two or more values. Example: if there is 1 boy and 3 girls you could write the ratio as: 1:3 (for every one boy there are 3 girls) ¼ are boys and 3/4 are girls 0.25 are boys (by dividing 1 by 4) 25% are boys (0.25 as a percentage)

Word Problem Instructions Pick 3 word problems from the “Rational Number Choice Board” worksheet Write the entire word problem on the “word problem” section. Personalize the problems. Show your work and solve the problem in the “Show your Work” section. Circle your answer Write a detailed explanation of how you solved the problem in the “Explain Your Answer” section Draw a picture and create a title. Please color and decorate.

Homeroom Instruction Come in quickly & quietly Go to your desk. Take out your AR book and read Raise your hand to ask to sharpen your pencil. Put your backpack underneath your desk. No talking.

Bellwork Day Three Tonya feeds 21 ¾ ounces of dog food to three dogs. If each dog eats an equal amount, how many ounces of dog food does each dog eat? Answer: Show Work: Why?

Word of the Week Ratio: A ratio shows the relative sizes of two or more values. Example: if there is 1 boy and 3 girls you could write the ratio as: 1:3 (for every one boy there are 3 girls) ¼ are boys and 3/4 are girls 0.25 are boys (by dividing 1 by 4) 25% are boys (0.25 as a percentage)

Homeroom Instruction Come in quickly & quietly Go to your desk. Take out your AR book and read Raise your hand to ask to sharpen your pencil. Put your backpack underneath your desk. No talking.

Homeroom Instruction Come in quickly & quietly Go to your desk. Take out your AR book and read Raise your hand to ask to sharpen your pencil. Put your backpack underneath your desk. No talking.

Bellwork Day Four Cathy is cutting 5 ½ foot strips of ribbon from a 60-foot roll. How many full strips can she cut from the roll? Once she cuts the maximum number of full strips from the roll, how many feet of ribbon will be left over? Answer: Show Work: Why?

Word of the Week Ratio: A ratio shows the relative sizes of two or more values. Example: if there is 1 boy and 3 girls you could write the ratio as: 1:3 (for every one boy there are 3 girls) ¼ are boys and 3/4 are girls 0.25 are boys (by dividing 1 by 4) 25% are boys (0.25 as a percentage)

Review Convert 5/8 to a decimal Convert 1 ¼ to a decimal Convert 1/3 to a decimal

Objective I can convert rational numbers to fractions and decimals I can categorize numbers.

Number Conversion Division is used to convert fractions to decimals Convert the fractions to decimals. What are the difference between the two numbers?

Vocabulary Terminating decimal: has a finite number of digits (the decimal will end or terminate) Examples: ½ =.5, , 7/8= Non-terminating decimal: a decimal in which a digit, or a group of digits, repeats without end. Example: 1/3, pi, the square root of 2

Vocabulary Repeating Decimal: a decimal in which a digit, or a group of digits, repeats without end. Examples: (Draw a line over repeating numbers) 2/3=.6 6/7= Bar Notation (Vinculum) Non-repeating Decimal: a decimal that neither terminates nor repeats. Example: ¼ =.25 the square root of 7 pi= …..

Guided Practice: Use two minutes to quietly convert the answers to decimals and identify if they are terminating, non- terminating, repeating or non-repeating. Terminating-Stand Repeating-Clap Non-terminating: Sit in seatNon-repeating- stomp twice 2/3=pi= 9/11= 5/32=

Homeroom Instruction Come in quickly & quietly Go to your desk. Take out your AR book and read Raise your hand to ask to sharpen your pencil. Put your backpack underneath your desk. No talking.

Bellwork Day Three Answer: Show Work: Why?

Bellwork Day One Answer: Show Work: Why?

Word of the Week Rate: a ratio that compares two quantities that are measured in different units Example: 2 Snickers Candy Bars for $1.00=.50 $1.00/2 or 2:1 60 miles in two hours= 30 mph 60/2 or 60:2 or 30:1