# data[].attributes.headline
-crucial to understand the how and not just recalling

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-crucial to understand the how and not just recalling

# data[].attributes.body
-build on what students already know (i.e 2, 5, 10)
-students will use what they already know to explore what the don't know
-math facts-introduce one set at a time
-importance of using 5 and 10 as a benchmark
-the importance of using doubles and near doubles
-the need to solidify understanding of decomposing numbers
-truly understanding numbers is essential for students to master math facts
-strategic practice is key not the focus on speed

# data[].attributes.body
Concept of zero - so important
Communative property is powerful - only for addition and multiplication- understanding why
Distributive property makes more complicated questions more manageable
Associative - allows manipulation and decomposition of numbers - allows for mental math and powerful understanding of math facts

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- Use numbers as tools to solve all kinds of problems (not just Math), as well as to question relationships

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- Use numbers as tools to solve all kinds of problems (not just Math), as well as to question relationships

# data[].attributes.body
- Trust the count, once students learn how to count and understand number relationships they will realize that they will always end up with the same end result.
- Once they learn to trust the count, students expand to trust a larger place value system, being able to represent any number using 10 symbols (1,2,3,4...)
- Using place value helps to understand proportional relationships based on the system of tens
-Students can then proceed to comprehend decimals, fractions and percent and their relationships using the place value system
- Students use place value to understand whole and rational integers and loss and gain integers and is a gateway to irrational numbers

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Facility with all the other fundamentals underlies the ability to build mental math skills. 

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Facility with all the other fundamentals underlies the ability to build mental math skills. 

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Noticing properties when adding or subtracting 0.

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Noticing properties when adding or subtracting 0.

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Order of adding numbers, commutative property (addition and multiplication).

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Order of adding numbers, commutative property (addition and multiplication).

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Paying attention to order. Noticing patterns. Creating understanding.

# data[].attributes.subject
Paying attention to order. Noticing patterns. Creating understanding.

# data[].attributes.headline
Noticing properties cuts number of math facts in half.

# data[].attributes.subject
Noticing properties cuts number of math facts in half.

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Distributive property for multiplication. Can be visualized using arrays. Extends to algebra.

# data[].attributes.subject
Distributive property for multiplication. Can be visualized using arrays. Extends to algebra.

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Associative property: can decompose and rearrange numbers when adding and multiplying. Mental strategies depend largely on this.

# data[].attributes.subject
Associative property: can decompose and rearrange numbers when adding and multiplying. Mental strategies depend largely on this.

# data[].attributes.body
Students need to have good visual models for each mental math strategy

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Associative property to decompose problems into friendly numbers that are quicker or easier to work with. (e.g. split  + 17 into + 10 and then + 7)

# data[].attributes.subject
Associative property to decompose problems into friendly numbers that are quicker or easier to work with. (e.g. split  + 17 into + 10 and then + 7)

# data[].attributes.body
Students are encourage to have a large toolbox of strategies to draw on. Encourage multiple strategies during discussions. If students know the 'answer' right away, encourage them to find another way to get there.

# data[].attributes.body
-goal is for students to be able to solve problems with ease, precision, consistency and accuracy
-importance of recognizing inverse relationships between addition and subtraction, multiplication and division
-identify what's missing in a problem
-visual models are very helpful
? + 8 = 12
12 - 8 = ?
-make checking the result a habit

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Building strategies when working with numbers. Leads to flexibility, automaticity, etc.

# data[].attributes.subject
Building strategies when working with numbers. Leads to flexibility, automaticity, etc.