Tuesday, April 8, 2014
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Transcript of Tuesday, April 8, 2014
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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?
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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”
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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
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Guided/Independent
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Guided/Independent
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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?
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Homework Review
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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.
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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
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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
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Guided/Independent/HomeworkDetermine the Nth and 100th number for each pattern.
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Determine the Nth and 100th number for each pattern.
Guided/Independent/Homework
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Thursday, April 10, 2014
POTDTonya had 15 marbles. She gave 5 marbles to her sister. What fraction did she give to her sister?
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Guided/Independent/HomeworkDetermine the Nth and 100th number for each pattern.
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Determine the Nth and 100th number for each pattern.
Guided/Independent/Homework
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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:
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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
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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
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Guided/Independent
Hint: Make a table to help you!
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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!
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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!
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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?
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Homework ReviewTell how many of each shape would be in the Nth and 100th pattern.
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Quiz Time • Make sure you replace your variable with the
answer that you found!• Always check your answer!!!