Tuesday, April 8, 2014

POTDThere are 57 blue birds sitting on a tree branch outside. A gust of wind came and knocked 2/3 of the birds off the branch. How many birds remain?

Algebraic Expressions

• Variable- a letter or symbol that can represent a variety of numbers. (This can include letters, boxes, flowers, triangles, and other symbols)

• Expressions- statements without an = sign. EX: 2U + 3

• Equations - numerical sentences that use an = sign. Equations show that two expressions are equal. EX: 2U + 3 = 7

• = means “the same as”

How to Solve for an UnknownEX: 43 + n = 60• Use the inverse operation to help solve the problem. You

want to get the variable by itself.• Some number + 43 will make 60.• Inverse of addition is subtraction, so 60 – 43= n

EX: 4J= 24. When a variable is written beside a number means to multiply. Inverse of multiplication is division

• 24 ÷ 4 = J

EX: 128 – v =36 What would happen if I use the inverse here?

EX: 16K = 48

Guided/Independent

Guided/Independent

Wednesday, April 9, 2014

POTDThere are 893 people going on a field trip to the Mint Museum. If 7 students can fit on a bus at a time, what is the MINIMUM amount of buses needed to transport all the students?

Homework Review

Patterns• A fun part of math is creating and playing with

patterns. • Math is organized with rules to follow. • If you know what the rule is, you can create a

pattern. • When you are using symbols to represent the

pattern, you are generalizing. You are giving a statement that describes the action no matter what the numbers are.

Function Tables• The rule is often organized on a function

table.• The table may have numbers that are not

in consecutive order, but you can still find the pattern.

• Ask yourself “what did I do to 2 in order to get 7?” Use the guess and check strategy.

• You must check the rule on a few of the numbers to make sure it is a generalization.

• If you are given the output and they have to find the input then they would use the inverse of the rule.

Input Output

2 73 105

34n 3n+1100

Guided PracticeThe table to the right shows a list of numbers. For every number listed in

the table, multiply it by 2 and add What do you notice about the numbers you entered into the table? Does an even number multiplied by 2 result in an even or odd number? Why

do you think this is? Does an odd number multiplied by 2 result in an even or odd number? Why

do you think this is? Does an even number plus 1 result in an even or odd number? Why do you

think this is? Does an odd number plus 1 result in an even or odd number? Why do you

think this is? Explain why the numbers you entered in the table are all odd.

Number X 2 + 1012345102357100309n

Guided/Independent/HomeworkDetermine the Nth and 100th number for each pattern.

Determine the Nth and 100th number for each pattern.

Guided/Independent/Homework

Thursday, April 10, 2014

POTDTonya had 15 marbles. She gave 5 marbles to her sister. What fraction did she give to her sister?

Guided/Independent/HomeworkDetermine the Nth and 100th number for each pattern.

Determine the Nth and 100th number for each pattern.

Guided/Independent/Homework

Shape Patterns• Repeating: You can easily predict what’s next

because the pattern continues to repeat itself. EX:

• Growing: There is still a pattern. The shapes “grow” in size and the numbers in the pattern grow as well.

EX:

• Shrinking: The shapes get “smaller” and so do the numbers in the pattern.

EX:

Guided Practice• Students in Mrs. Como’s class are making up their own growing patterns.

Angela uses triangle pattern blocks to make a growing fir tree.• Use pattern blocks to build and draw the next two fir trees in this pattern.• Complete the table of values.• What is the Rule?

Tree # Number of blocks added

TOTAL number of blocks

1 1 123

100N

Guided Practice• PROBLEM: Restaurants often use small square tables to seat customers. One chair is placed

on each side of the table. Four chairs fit around one square table [Figure 1]. Restaurants handle larger groups of customers by pushing together tables. Two tables pushed together [Figure 2] will seat six customers.

• Draw a diagram showing how many customers would be seated at three square tables pushed together [Figure 3].

• Complete the table for reference:• Find a pattern you can use to predict the number of customers that may be seated at any

size table.• Describe the pattern in words Number of

TablesNumber of Customers

1 42 634561025100N

Guided/Independent

Hint: Make a table to help you!

Guided/Independent

Extend each pattern and determine the number of shapes in the N th and 100th pattern for each design

Hint: Make a table to help you!

Guided/Independent

Extend each pattern and determine the number of shapes in the N th and 100th pattern for each design

Hint: Make a table to help you!

Friday, April 11, 2014

POTDValerie ran 15 1/5 a mile on Tuesday and 13 4/5 mile on Wednesday. How many miles did Valerie run on Tuesday and Wednesday? 

Homework ReviewTell how many of each shape would be in the Nth and 100th pattern.

Quiz Time • Make sure you replace your variable with the

answer that you found!• Always check your answer!!!