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Valley ElementaryCommon Core Mathematics

Grades TK-2 Vertical Alignment

January, 2015 Draft

Statement of Purpose:In order to provide the most inspiring, effective, and high quality math education for Valley Elementary students, the Valley teachers are committed to providing a coherent mathematical learning experience for the students across all the grades.

This document is designed to map how students will experience each core math concept and how we will intentionally connect the learning experiences from one grade level to the next.

It includes the key models, strategies and procedures that Valley teachers agree to provide for students at each grade level. (do we want to add tools?)

It also details the guaranteed learning experiences and tasks for each concept at each grade level that the teachers have identified as essential for students to develop deep understanding.

It includes the agreed upon math classroom routines that will shape the student math experience.

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And finally, it details the math vocabulary that will be highlighted for each concept, including English and Spanish.

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Core Elements of Mathematics at Valley Elementary

Environment Math Lessons Instruction

Safe culture for risk takingCollaborationDivergent thinking honoredExploratorySelf-discoveryFun and engagingStudent-centeredStudents persevereIncludes parents, students, and teachers

Number TalksRich TasksInvestigations and ExplorationsRich math discourseBalanced practice

Talk movesModelsValue and highlight different strategiesElicit and record student thinkingStudent-centered

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Counting and Cardinality, Transitional Kinder and Kindergarten

Grade Level

CC Content StandardsMath Models,

Strategies, and/or Procedures

Important Learning Experiences

Routines Vocabulary

TK/K

K.C.C.4a

Pairing each object with one and only one number name (1:1 correspondence)

Five frames

Ten frames

# Parade

# of the day/week

Counting books Read aloud Kid books

Making sets with variety of counters

Two color beans

Counting songs/chants

Counting with fingers

Calendar Date # of days

in school 100th

chart

Attendance count

# parade count

Place value cards/dot cards

Plus one/uno más

Count/contar

Groups/grupos

How many?/¿Cuantos hay?

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Operations and Algebraic Thinking (Addition and Subtraction) TK-2

Grade

Level



Important Learning Experiences Routines Vocabulary

TK Solves addition and subtraction problems using a variety of methods

Five frames

Ten frames

Dot cards/quick looks

Math talksMath songs/chantsMath literatureGames

Dice Cards One more

Parteners of

MathTalks Five-Ten frame/marco de cinco-diezAdd/sumaMore/ másSubtract/restaTake away/quítaleLess/menosEquals/es igualPartners of/partes de

K K.OA.1Represents addition and subtraction with a variety of methods

Five frames

Ten frames

Dot cards/quick looks

Math talksFinding the partners of #/las partes de #Math songs/chantsMath literatureBreak apart stickTrainsBeansGames

Dice Cards Bump One more

Math talk Ten frame/marco de diezAdd/sumaMore/ másSubtract/restaTake away/quítaleLess/menosEquals/es igualPartners of/partes de

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Grade

Level

CC Content Standard

Math Models, Strategies, and/or

ProceduresImportant Learning

Experiences Routines Vocabulary

1st 1.OA 6 Decomposing

numbers (to 10 or 20)

Add/subtract within 20

Fluency with +/- Creating equivalent

sums

Relationship between +/-

Throughout the yearTen-frames(T1)/twenty-frames (T2/T3)100s (T1)/120 chart (T2/T3)Number lineGroups of 10Unifix cubes

*Find all the parts of 10 (Trimester 1)*Find all the parts of 20 (Trimester 2)*10 Black DotsHow many dots do you need to make a 10 black dots book?*One GorillaHow many things does the author like?*Double compare (card game)*Three towers (unifix cube game)*10 go fish (card game)*Roll and record +/- (game with dice)*Solve word problems for +/-

Throughout the year*Start with/get to with a number line (2-4x a week)*Number talks (2-4x a week)*Calendar routine (4-5x a week)*Number of the day (2-4x a week)

Add/sumar

Subtract/restar

Counting on/contar

hacia adelante

Making 10/formar un grupo de diez

Doubles/dobles

equal/es igual a

2nd 2.OA.1 Addition and

subtraction within 100

One and two step word problems

Unknown in all positions

Drawings Equations Symbol for

unknown Subtraction and

Addition to 1000

Making tensNumber lineUsing doubles100 chartBase ten blocks/cubesPictures

1. Chrysanthemum: Letters in our Names

2. Name values (addition of multiple addends) and the difference to 100.

3. 101 and Out4. Close to 1005. Literature task with

consecutive addends (1-10)

6. 512 Ants word problems/doubling

Number talk 3-5 times per week

Ten frameEquationUnknownAddendSumTotalNumber lineFriendly Number

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2.OA2Fluently add and subtract within 20 using mental strategies

Ten frameNumber line

7. In one minute, including the difference model

15 number cross out Close to 20 Race to 10 Ten Friends

Numbers & Operations, Base Ten (Place Value) TK-2

Grade Level



Important Learning Experiences

Routines Vocabulary

K K.NBT.1

Compose and decompose numbers from 11 to 19

Double ten frames

Cubes

N\Teen number books

ME # mats – build teen numbers with cubes

ME trays - build teen numbers with manipulatives and # cards

Different ways to represent a # - journals

Math talk

Place value cards

Calendar # of days

in school date

Teen

Ten group/grupo de diez, decena

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1st NBT 2b Understand difference

between tens and ones. 11-19 are composed of

a ten and ones.

Throughout the yearTen-frames(T1)/twenty-frames (T2/T3)100s (T1)/120 chart (T2/T3)Number lineGroups of 10Unifix cubesPlace value cards (From Math Expressions)

*Calendar routine throughout the year.Please see picture for details*Stars in a minute (T2/T3)

Throughout the year*Start with/get to with a number line (2-4x a week)*Number talks (2-4x a week)*Calendar routine (4-5x a week)Please see picture for details about this routine

*Number of the day (2-4x a week)

Place value/valor posicional

Tens place/lugar de las decenas

Ones place/lugar de las unidades

Ones/unidades

Tens or groups of 10 (interchangeable)/ decenas o grupos de 10 (interchangeable)

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Grade

Level


Strategies, and/or

Procedures

Important Learning

ExperiencesRoutines Vocabulary

2nd 2.NBT.1a, 2Three digits of three digit number represent hundreds, tens, ones

100 is a bundle of tens Read and write

numbers to 100

Using base ten blocks

Blank 100 grids

Drawings with flats, ten sticks, ones

Expanded form

Number line

Partners of 100

Shake, rattle, roll

Digit place Roll for $1.00

Number talks GroupHundredsTensOnesExpanded form

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Operations and Algebraic Thinking (Foundations for Multiplication), TK-2

Grade Level CC Content Standards


Procedures


TK/K

No Foundations for Multiplication standards for this grade level.

First Grade Calendar Wall/Routines

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1st No Foundations for Multiplication standards for this grade level.

2nd 2.OA.4 Addition Rectangular array (up

to 5 rows/columns) Express total as sum of

equal addends Counting by 2, 5, 10

2.OA.4Determine whether a group has an odd or even number

Circles and stars

Rectangular arrays

Centipede’s 100 shoes – did centipede have enough shoes/socks?

King’s Commissioners – Repeated addition (2, 5, 10)

Circles and stars Two of Everything

– doubling rules, Magic pot doubling task

Number talks Equal groupsArray

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Geometry (Foundations for Fractions), TK-2

Grade Level CC Content Standards


Procedures


TK/K

No fraction foundation standards at this grade level

1st No fraction foundation standards at this grade level

2nd Geometry 2G Partition circles and rectangles

into two, three, or four equal shares

Use the words halves, thirds, half of, a third of, etc., and describe the whole as two halves, three thirds, four fourths.

Recognize that equal shares of identical wholes need not have the same shape.

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The Common Core Standards for MathematicsThe Major Work of Each Grade Level

(Borrowed from North Carolina, Engage New York, and Arizona Common Core Documents)

Kindergarten 1st Grade 2nd GradeMajor

ClustersCounting and Cardinality Know number names and the

count sequence. Count to tell the number of

objects. Compare numbers.

Operations and Algebraic Thinking Understand addition as

putting together and adding to, and understand subtraction as taking apart and taking from.

Number and Operations in Base Ten Work with numbers 11–19 to

gain foundations for place value.

Operations and Algebraic Thinking Represent and solve problems

involving addition and subtraction.

Understand and apply properties of operations and the relationship between addition and subtraction.

Add and subtract within 20. Work with addition and

subtraction equations.

Number and Operations in Base Ten Extend the counting sequence. Understand place value. Use place value understanding

and properties of operations to add and subtract.

Measurement and Data Measure lengths indirectly and

by iterating length units.

Operations and Algebraic Thinking Represent and solve

problems involving addition and subtraction.

Add and subtract within 20.

Work with equal groups of objects to gain foundations for multiplication.

Number and Operations in Base Ten Understand place value. Use place value

understanding and properties of operations to add and subtract.

Measurement and Data Measure and estimate

lengths in standard units. Relate addition and

subtraction to length.

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Kindergarten 1st Grade 2nd GradeSupportin

g/Additional Clusters

Measurement and Data Describe and compare

measurable attributes. Classify objects and count the

number of objects in categories.

Geometry Identify and describe shapes.

Analyze, compare, create, and compose shapes.

Measurement and Data Tell and write time. Represent and interpret data.

Geometry Reason with shapes and their

attributes.

Measurement and Data Work with time and

money. Represent and interpret

data.

GeometryReason with shapes and

their attributes

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