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1

Addition: Combine Scenario

2 collections of objects are combined

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2

subtraction: take away scenario

objects are removed from a group

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3

subtraction: missing addend scenario

additional objects are needed to reach a desired total

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4

subtraction: comparison scenario

one group is matched against another

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5

multiplication: repeated addition scenario

groups of identical size are combined

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6

multiplication: array/area scenario

a grid or rectangle is created

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7

multiplication: cartesian product scenario

different types of items are “mixed and matched”

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8

division- repeated subtraction scenario

objects are separated into groups of known size

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9

Division- Partitioning scenario:

objects are separated into a known number of groups

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10

What scenario is this? Jeff has 8 apples and Carrie has 6. How many do they have together?

addition: combine scenario

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11

What scenario is this? Jeff had 5 apples and gave Carrie 2. How many does he have left?

Subtraction: Take-away scenario

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12

What scenario is this? Carrie has 2 apples and needs 5 for a recipe. How many more does she need?

Subtraction: Missing Addend Scenario

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13

What scenario is this? Carrie has 5 apples and Jeff has 2. How many more does she have than he does?

Subtraction: Comparison scenario

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14

What scenario is this? Shawn has 4 bags of 6 marbles. How many marbles does he have altogether?

Multiplication: Repeated addition scenario

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15

What scenario is this? Belinda’s classroom has 6 rows of 4 desks. How many desks are there altogether?

Multiplication: Array/Area Scenario

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16

What scenario is this? Belinda has 6 blouses and 4 skirts that go together. How many different outfits can she make?

Multiplication: Cartesian Product scenario

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17

What scenario is this? Shawn has 12 cookies to put into bags of 3. How many bags can he make?

Division: Repeated subtraction scenario

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18

What scenario is this? Shawn has 12 cookies to give to 3 friends. How many will each friend get?

Division: Partitioning Scenario

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19

Algorithms

step by step process for doing something

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20

For repeated subtraction, what two things are the same kind?

dividend and divisor

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21

For partitioning scenario, what two things are the same kind?

dividend and quotient

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22

manipulatives

physical objets we can handle and move to act out/represent math processes

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23

What are the three main types of manipulatives for working with place value?

1) Concrete: see physical trades- base 10 blocks

2) Abacus (representational)

3) Place value card- blank piece of paper with columns representing each place value

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24

Algorithms for adding whole #s

standard, scratch, base 10 blocks, place value cards

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25

Algorithms for subtracting whole #s

standard and balancing (equal addends)

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26

Algorithms for multiplication

standard, area model, lattice, partial products

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27

scenario

setting/context

-for word problem that helps child choose whether to add or subtract or divide or multiply with the numbers they see

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28

numeration system

set of rules for how to write #s (numerals)

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29

state what key features hindu arabic has

10 digits

uses place value

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30

number

idea of how many

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31

numeral

how we write a number

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32

place value

means where a digit occurs in an numeral-offsets how much it is worth

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33

base ten

digit to the left is worth 10x as much to the right

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34

egyptian numeration key features

7 digits

uses a variation of base 10

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35

Egyptian numeral for one

| :staff

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36

Egyptian numeral for ten

n: heel bone

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37

Egyptian numeral for hundred

scroll

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38

Egyptian numeral for thousands

lotus flower

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39

Egyptian numeral for ten thousand

pointing finger

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40

Egyptian numeral for hundred thousand

tadpole

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41

Egyptian numeral for million

astonished person

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42

x-2y=8 is what

equation

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43

3-5+7=5 is what

number sentence

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44

3-5+7 is what

expression

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45

an equality does what

gives an answers

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46

an equation does what

gives an answer and uses variables

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47

a number sentence does what

gives an answer and only shows numbers

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48

an expression does what

not show an answer

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