a common sense approach to the common core math math teaches us more than just content standards for...

A Common Sense Approach A Common Sense Approach to the Common Coreto the Common Core

MathMath

Math teaches us more than just Math teaches us more than just contentcontent

Standards for Mathematical PracticeStandards for Mathematical Practice

Make sense of problems and persevere in solving them. Make sense of problems and persevere in solving them.

Reason abstractly and quantitatively.Reason abstractly and quantitatively.

Construct viable arguments and critique the reasoning of Construct viable arguments and critique the reasoning of

others.others.

Model with mathematics.Model with mathematics.

Use appropriate tools strategically.Use appropriate tools strategically.

Attend to precision.Attend to precision.

Look for and make use of structure.Look for and make use of structure.

Look for and express regularity in repeated reasoning.Look for and express regularity in repeated reasoning.

How has Math Instruction Changed…How has Math Instruction Changed…

Students will learn more about fewer topics

In Class…In Class…– Student will focus on Student will focus on

fewer topics. fewer topics.

At Home…At Home…– Parents can become Parents can become

familiar with the main familiar with the main topics of instruction topics of instruction

Students will learn more about fewer topics… … Grade KindergartenGrade Kindergarten

Counting and CardinalityCounting and Cardinality– Count, write, order and compare numbers. Count, write, order and compare numbers.

Operations and Algebraic ThinkingOperations and Algebraic Thinking – Understand addition as putting together and adding to, and Understand addition as putting together and adding to, and

understand subtraction as taking apart and taking from.understand subtraction as taking apart and taking from.– Add with a sum of 10 or lessAdd with a sum of 10 or less– Subtract from a number of 10 less or less Subtract from a number of 10 less or less

Number and Operations in Base TenNumber and Operations in Base Ten – Work with numbers 11-19 to grain foundations for place value.Work with numbers 11-19 to grain foundations for place value.

Students will learn more about fewer topics… … Grade 1Grade 1

Operations and Algebraic ThinkingOperations and Algebraic Thinking – Understand and apply properties of operations and the Understand and apply properties of operations and the

relationship between addition and subtraction to solve word relationship between addition and subtraction to solve word problems.problems.

– Add and subtract using the “Make Ten” strategyAdd and subtract using the “Make Ten” strategy

Number and Operations in Base TenNumber and Operations in Base Ten

– Extend the counting sequence. Extend the counting sequence. – Understand place value to add and subtract using regrouping or Understand place value to add and subtract using regrouping or

decomposing. decomposing.

Measurement and DataMeasurement and Data – Measure lengths indirectly and by iterating length units. Measure lengths indirectly and by iterating length units.

Students will learn more about fewer topics… … Grade 2Grade 2

Operations and Algebraic ThinkingOperations and Algebraic Thinking – Solve two step word problems involving addition and subtraction.Solve two step word problems involving addition and subtraction.– Work with equal groups of objects to gain foundations for Work with equal groups of objects to gain foundations for

multiplication. multiplication.

Number and Operations in Base TenNumber and Operations in Base Ten – Expand numbers to the thousands. Expand numbers to the thousands. – Understand place value to add/subtract 3-digti numbers. Understand place value to add/subtract 3-digti numbers.

Measurement and Data Measurement and Data – Measure and estimate lengths in standard units. Measure and estimate lengths in standard units. – Solve addition and subtraction problems involving length. Solve addition and subtraction problems involving length.


Skills are developed across grades

In Class…In Class…– Student will build new Student will build new

ideas from earlier ideas from earlier topics topics

At Home…At Home…– Parents can Parents can

understand how these understand how these skills are connectedskills are connected

– Be aware of topics of Be aware of topics of difficulty difficulty

Skills are developed across grades……(Numbers)(Numbers)

Grade K: Grade K: – Count to 100 by ones and tens– Understand that numbers from 11 to 19 contain a ten

and some leftover ones (for example, 14 = 10 + 4)

Grade 1:Grade 1:– Understand that the two digits of a two-digit number

represent amounts of tens and ones (place value)

Grade 2: Grade 2: – Understand that the three digits of a three-digit

number represent amounts of hundreds, tens, and ones (place value)

Grade 3:Grade 3:– Begin to recognize fractions as part of a wholeBegin to recognize fractions as part of a whole

What are we using in the classroom… and at home? (Numbers)(Numbers)

Kindergarten: Ten FramesKindergarten: Ten Frames– Using a ten frame to begin place valueUsing a ten frame to begin place value

Grade 1: Bundles of TenGrade 1: Bundles of Ten– Bundle objects to make groups of tenBundle objects to make groups of ten

Grade 2: Base ten blocks Grade 2: Base ten blocks – Composing and decomposing numbers Composing and decomposing numbers



14 = 10 + 4



Grade 1: Bundles of TenGrade 1: Bundles of Ten– Bundle objects to make groups of tenBundle objects to make groups of ten


Grade 2: Base ten blocks Grade 2: Base ten blocks – Composing and decomposing numbers Composing and decomposing numbers

125 = 100 + 20 + 5

Hundreds Tens Ones

Skills are developed across grades……(Operations)(Operations)

Grade K: Grade K: – Represent addition and subtraction with objects, fingers,

drawings, etc. – Solve word problems by adding or subtracting numbers up

through 10 using objects and drawings

Grade 1:Grade 1:– Solve word problems by adding or subtracting numbers up

through 20..– Solve addition and subtraction problems for different unknown

numbers ( 20 - ? = 15, 9 + 4 = ? )

Grade 2: Grade 2: – Solve one- and two-step word problems by adding or subtracting

numbers up through 100

Grade 3:Grade 3:– Multiply and divide numbers up through 100

What are we using in the classroom… and at home? (Operations)(Operations)

Kindergarten:Kindergarten:– Using the terms “put together” and “take Using the terms “put together” and “take

apart”apart”

Grade 1: Grade 1: – Models for addition/subtractionModels for addition/subtraction

9___ + ___ = 95 43 6

What are we using in the classroom… and at home? (Operations)(Operations)

Kindergarten:Kindergarten:– Using the terms “put together” and “take apart”Using the terms “put together” and “take apart”

Grade 1: Grade 1: – Models for addition/subtractionModels for addition/subtraction

Grade 2: Grade 2: – Models for addition/subtraction of larger numbersModels for addition/subtraction of larger numbers– The standard addition/subtraction algorithmsThe standard addition/subtraction algorithms


Not all standards are created equalNot all standards are created equal

In Class…In Class…– Student will spend Student will spend

time practicing time practicing problems on the same problems on the same topictopic

At Home…At Home…– Parents can Parents can

encourage children to encourage children to memorize their basic memorize their basic factsfacts


To appreciate math, you must understand it…

In Class…In Class…– Student will talk about Student will talk about

math and prove why math and prove why and how math worksand how math works

At Home…At Home…– Parents can be open Parents can be open

to different strategiesto different strategies

To appreciate math, you must understand it…

Subtraction with Regrouping…Subtraction with Regrouping…

Tens Ones

3 1 - 1 6

1 5

2 11


Math is all around us…

In Class…In Class…– Student will know and Student will know and

apply the correct math apply the correct math in real world situations.in real world situations.

At Home…At Home…– Parents can ask Parents can ask

children to do the math children to do the math that comes up in your that comes up in your daily life. daily life.


Grade Kindergarten: – Doing chores…

Sorting and arranging objects in a logical manner help build the foundation for mathematical reasoning. Ask your child to sort laundry, utensils, toys, etc…

– In the fruits and vegetable aisle... Use everyday objects to allow your child to count and group a collection of objects. For example, have your child count while they help you pick fruits and vegetables and attach a noun to the number. For example, 1 apple, 2 apples, 3 apples, …

– Use Math vocabulary…Use Math vocabulary…Using mathematical words like above, below, between, first, Using mathematical words like above, below, between, first, last, etc. in daily routines help students see their meaning. last, etc. in daily routines help students see their meaning.


Grade 1: – At breakfast…

Ask your child “how many…” questions. For example, if you open a carton of eggs and take out seven, ask, “How many are left in the carton?”

– Make a road trip more mathematical... Play math games with your child. For example, “I’m thinking of a number. When I add five to it, I get 11. What is the number?”


Grade 2: – Talk about temperature…

Have your child explain the relationship between different numbers without counting. For example, “ For example, “how much warmer how much warmer will the temperature be tomorrowwill the temperature be tomorrow?”

– Flash Cards... Make addition and subtraction flashcards to reinforce prior grade level fluencies… Mentally add/subtract with numbers less than 20.

What else can we do at home?

Be Positive!– Avoid statements like “I wasn’t good at math” or “Math is too

hard.”

Play Games!– Board Games help children develop number sense, foundation

of probability and are fun

Use Math Vocabulary

Ask Why?– How did you figure it out?

ResourcesResources

www.engageny.orgwww.engageny.org– New York’s Common cores websiteNew York’s Common cores website

http://learnzillion.com/http://learnzillion.com/– Great videos that explain common core conceptsGreat videos that explain common core concepts

http://www.azed.gov/azcommoncorehttp://www.azed.gov/azcommoncore– Detailed explanation of each standardDetailed explanation of each standard

www.commoncoreconversation.comwww.commoncoreconversation.com– ““One stop shopping for the common core”One stop shopping for the common core”

a common sense approach to the common core math math teaches us more than just content standards for...

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