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herringmelanie
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Be able to identify and construct growing patterns and repeating patterns.
 Repeating patternscore repeats. 123123123
 Growing patterns  expand something you start with. 123'45'56
 see index card for picture examples

Be able to show alternative methods of multiplication
 see index card for examples
 a. Partial Products Method
 b. Trachtenberg model
 c. Lattice Method

What is the difference between a recursive expression and an explicit expression?
 Recursive requires you to know the previous step to get to the next step.
 Explicit/Direct formula that allows you to plug numbers to solve.

What is meant by a function?
Every number input has a specific output.

Describe the three phase process that teachers can do to assist children in learning basic facts.
 Start where they are
 build understanding
 give hints on how to remember facts

List and describe the three meanings of fractions.
 Parttowhole take whole and partition it
 Quotion(3/5) means 3 divided by 5
 Ratio  (3/5, 3:5, 3 to 5) single comparison in fraction form.

What are some strategies that children can use to remember basic addition facts?
 Communitative property
 adding 1's and 0's
 adding doubles and near doubles
 counting on
 combinations of 10
 adding to 10 and beyond

Know how to show addition and multiplication of fractions pictorially
 Addition  one box for EACH fraction
 Multiplication  one box total
 See index card for examples

Know the general sequence of activities for helping children to develop meaning of the four basic operations
 Concrete
 SemiConcrete/pictorial
 Abstract

Be able to list and describe the four basic models of the partwhole meaning
 See index card for examples
 region
 length
 set
 area

What are benchmark fractions and what is their importance in teaching fraction concepts to elementary school students?
Easy convienant fractions to work (1/2, 1/3, 1/4, 1/8)
If students can gain understanding of benchmark fractions they can get more complex fractions.

What are the three criteria necessary before students start practicing fact retrieval?
 Can state or write related facts (fact families) when given one basic fact.
 Can explain how they got an answer in more than one way.
 Can solve facts in more than one way.

What is the primary purpose of drill?
Make students proficient in recalling facts.

Know how to differentiate between separation problems, comparison problems, and partwhole problems when doing addition and subtraction.
Separtation (take away) one quantity given and remove certain amount. ex. tom has 13 pencils, he gave 3 to Sue. How many does he have?
Comparison (finding the difference) start with two quantities. You want to know the difference between the two. Tom has 11 pencils, Sue has 8 pencils. How many more does Tom have?
PartWhole (how many in set) you are given how many are in entire set and how many in one part of a set, you have to find out how many in remaining set. Tom has 11 toy cars, 3 are toyotas, how many are hondas?

Know three different ways to show the ratio of 5 to 1

Know what a proportion is and how to calculate the correct proportion in a missing number problem.
 Equivilant fraction
 see index card for calculations

Know when a calculator should be used as a computational tool.
 if it can:
 facilitate problem solving
 ease burden of tedious computation
 help focus meaning on lesson
 remove anxiety
 provide motivation and confidance

Be aware of and be able to determine the three different uses of variables
 Place holder (3+A=7) Specific value for A
 Generalization (AA=0)All value of A make the sentence true
 Function (B=2xA) each value of A produces and holds place of B

What are the prerequisite skills for students in order for them to be able to learn percents?
 know decimals
 know multiplication
 know & understand fractions
 understand equations w/variables
 understand missing numbers

Know the meaning of percent, and how to work various percent problem.
 means of 100
 see index card for problem example

Know how to show addition and subtraction using Base Ten Blocks.
 Addition  combine blocks
 Subtraction  take away blocks

Know how to demonstrate the use of repeated subtraction in division.
 Partial difference subtraction
 see index card

Know different forms of estimation.
Front end estimation  ex. 7865 + 9999= estimate to 7000+9000.
Front end with adjustance  ex. would change to 8000+10000=18000.

