Unit 1: Counting and Cardinality Goal: Students Will Learn Number Names, the Counting Sequence, How to Count to Tell the Number of Objects, and How to Compare Numbers

Kindergarten – Trimester 1: Aug – Oct (11 weeks)

Unit 1: Counting and Cardinality Goal: Students will learn number names, the counting sequence, how to count to tell the number of objects, and how to compare numbers. Students will represent and use whole numbers, initially with a set of objects. Students will learn to describe shapes and space. Structures to Support CA Content Standards/CGI/Problem Solving: Real World Math, Problem Analysis “Think Time”, Partner Collaboration, Productive Struggle, Whole Group Student Share

Youcubed Week of Inspirational Math https://www.youcubed.org/week-inspirational-math/

Common Unit Tasks and Critical Areas of Instruction Core Curriculum Work Assessments/Proficiency Scale(s): Critical Concepts: Focus Areas (use these activities most of the time): Trimester 1 Tasks & Assessments: ● Cognitively Guided Counting and Cardinality: -Counting Collections Instruction ● MyMath Ch 1: Numbers 0 to 5 -Describe, Draw, Describe ● Counting Collections ● MyMath Ch 2: Numbers to 10 -Card games ● Word Problems (Separate – ● MyMath Ch 3: Numbers Beyond 10 -CGI Assessment (do in BOY, MOY, and EOY Result Unknown, Join – ● Counting Collections: What is it? to gauge student growth) Result Unknown, Partitive ● Questions for Counting Collections ● CGI Assessment Launch Script Division) ● Number Talks/Math Warm Ups (Ordinal numbers, compare ● CGI Kinder intro Assessment A ● Name, recognize, count, and numbers) ● K-1 CGI assess codebook write numbers 0 to 20 Operations/Algebraic Thinking: ● Compare numbers to 10 ● Word Problems (Join, Separate) K.CC. Assessing Counting Sequences Part I ● Ordinal numbers to 10 from Illustrative Mathematics: Supporting Concept Areas (spiral these activities): Assessing Counting Sequence Part 1 Supporting Concepts: Measurement and Data: ● Addition ● Counting Collections (Classify/Sort objects in collection) ● Subtraction Geometry: ● Classify/Sort Objects ● Mentor Texts/Read Alouds (Position, 2D Shapes) ***PDF of Think Smart Eng/Sp in Unit 1 ● Position ● Counting Collections (2D Shapes) folder for use throughout the year*** ● 2D Shapes ● DDDs – Describe, Draw, Describe (Position, 2D Shapes)

CA Mathematics Standards for College and Career Readiness K.CC.1, K.CC.2, K.CC.3, K.CC.4 a, b, c, K.CC.5, K.CC.6, K.CC.7

Mathematical Practices 1-3-6 = connections to EL/ELD and NGSS standards: See Overview Curriculum Guide for details of grade expectations

Curriculum Resources Supplementary to Course Textbook Unit 1: Counting and Cardinality Supplementary trimester 1 ***PDF of Think Smart Eng/Sp in Unit 1 folder for use throughout the year*** Downey website (CGI Resources): http://www.dusd.net/cgi/kindergarten-routines/

Starting Number Talks/Math Warm Ups: https://mathsolutions.com/ms_classroom_lessons/classroom-discussions-using-math-talk-in-elementary-classrooms/

K5 Math Number Activities ● Scroll down for sample activities with Counting and Cardinality (CC) standards

Georgia Math - Unit 1: Counting with Friends ● Got Dots? (0-10) p. 24 ● Numerals, Pictures, Words (0-10) p. 29 ● Fill the Line (0-9) p. 35 ● What the Heck is Rekenrek p. 41-46 ● Race to 20 p. 50

Georgia Math - Unit 2: Comparing Numbers ● Got Dots Revisited (11-20) p. 22 ● Numerals, Pictures, Words (11-19) p. 26 ● The Cardinal Cup Revisited (11-19) p. 46

Three Act Tasks: ● Dotty (K.CC.1,2,3) For additional information, read pg. 18-23 unit 1 Counting with Friends in Georgia Math

Math Solutions: ● Counting Handfuls ● Guess My Number ● More or Less?

Math Games: ● Counting Fish ● Number Bingo

Unit Vocabulary: numbers, digits, compare, more, less, equal, order, sequence, “in all”

Kindergarten – Trimester 2: Nov – Jan (11 weeks)

Unit 2: Operations and Algebraic Thinking Goal: Students will work with numbers to 10 to learn the foundations of addition and subtraction such as joining, separating, and number facts. Students will learn number partners to make numbers to 10. Structures to Support CA Content Standards/CGI/Problem Solving: Real World Math, Problem Analysis “Think Time”, Partner Collaboration, Productive Struggle, Whole Group Student Share

Common Unit Tasks and Critical Areas of Instruction Core Curriculum Work Assessments/Proficiency Scale(s): Critical Concepts: Focus Areas (use these activities most of the time): Trimester 2 Tasks/Assessments ● Counting Collections Operations and Algebraic Thinking: ● Word Problems (Previous ● MyMath Ch 4: Compose and Decompose Numbers to 10 -Compose and Decompose to 10 Problem Types PLUS Part- ● MyMath Ch 5: Addition ● Shake and Spill Part-Whole: Whole ● MyMath Ch 6: Subtraction -Addition Unknown) ● Word Problems (Join/Addition, Separate/Subtraction, Part-Part- ● Dice Addition 2 ● Count to 100 by ones and Whole) -Subtraction tens ● Number Talks/Math Warm Ups ● What’s Missing? ● Compose and Decompose to Counting and Cardinality: 10 ● Counting Collections (Counting by 1s and 10s, Joining collections) ● Addition ● Number Talks/Math Warm Ups CGI Assessment (do in BOY, MOY, and EOY ● Subtraction to gauge student growth) See unit 1 links Supporting Concept Areas (spiral these activities): ● CGI Assessment Launch Script Supporting Concepts: Measurement and Data: ● CGI Kinder intro Assessment A ● Classify/Sort Objects ● Counting Collections (Classify/Sort) ● K-1 CGI assess codebook ● Position Geometry: ● 2D Shapes ● Mentor Texts/Read Alouds (Position, 2D Shapes, Length, Height, ● Length/Height/Weight Weight) ● Counting Collections (2D Shapes) ● DDD – Describe, Draw, Describe (Position, 2D Shapes)

CA Mathematics Standards for College and Career Readiness K.OA.1, K.OA.2, K.OA.3, K.OA.4, K.OA.5 K.CC.1-5 Mathematical Practices 1-3-6 = connections to EL/ELD and NGSS standards: See Overview Curriculum Guide for details of grade expectations

Curriculum Resources Supplementary to Course Textbook Unit 2: Operations and Algebraic Thinking Supplementary trimester 2

Number Talks *(cheat sheet)

K5 Math Number Activities ● Scroll down for sample activities with Operations and Algebraic Thinking (OA) standards

Three Act Tasks: ● Bag-O-Chips (K.OA.4, K.OA.5) ● Equally Balancing Numbers (K.OA.2, K.OA.3) ● Humpty Dumpty (K.OA.1, 2, 3) ● Popping Balloons (K.OA.1, 2, 3) ● The Candyman (K.CC.1, 2, 3, 4, 5) ● Cupcakes (Separating Result Unknown)

Engage NY: Module 4 - Operations and Algebraic Thinking (Number Pairs, Addition and Subtraction to 10) ● Topic A - Composing/Decomposing with Number Pairs for 5 ● Topic B - Composing/Decomposing with Number Pairs for 6-8 ● Topic C - Formal Addition Concepts ● Topic D - Formal Subtraction Concepts ● Topic E - Composing/Decomposing with Number Pairs for 9-10

Downey website (CGI resources): http://www.dusd.net/cgi/kindergarten-routines/

Math Solutions: ● Counting Handfuls (mathsolutions.com) ● Guess My Number (mathsolutions.com) ● More or Less? (mathsolutions.com)

Math Games: ● Fuzz Bugs Factory (number bonds to 10) ● Base Ten Bingo (counting by 10s)

Unit Vocabulary: teen numbers, tens, ones, add, addition, plus, subtract, subtraction, minus, compose/join, decompose/take away/take apart

Kindergarten – Trimester 3: Feb – May (16 weeks)

Unit 3: Numbers and Operations in Base Ten/Measurement/Geometry Goal: Students will work with numbers in the teens to recognize that numbers are made of tens and ones. Students will classify, sort, and describe real- world objects by comparing their measurements (length, height, weight). Students will identify, describe, and compose both 2D/flat shapes and 3D/solid shapes. Structures to Support CA Content Standards/CGI/Problem Solving: Real World Math, Problem Analysis “Think Time”, Partner Collaboration, Productive Struggle, Whole Group Student Share

Common Unit Tasks and Critical Areas of Instruction Core Curriculum Work Assessments/Proficiency Scale(s): Critical Concepts: Focus Areas (use these activities most of the time): Trimester 3 Tasks and Assessments ● Word Problems (Previous Numbers and Operations in Base Ten (MAIN FOCUS): Problem Types PLUS ● MyMath Ch 7: Compose and Decompose Numbers 11 to 19 -Numbers/Operations in Base Ten Multiplication & ● Word Problems (all types) ● What makes a teen number? Measurement Division) ● Number Talks/Math Warm Ups -Measurement/Data ● Compose and Decompose ● Counting Collections (Grouping by tens and ones) ● Longer and shorter 11 to 19 Measurement and Data: -Geometry ● Measurement ● MyMath Ch 8: Measurement ● Shape sequence search (Classify/Sort, ● MyMath Ch 9: Classify Objects -CGI Assessment (do in BOY, MOY, and EOY Length/Height/Weight) Geometry: to gauge student growth) See unit 1 links ● Geometry (Position, 2D ● MyMath Ch 10: Position ● CGI Assessment Launch Script and 3D Shapes) ● MyMath Ch 11: 2D Shapes ● CGI Kinder intro Assessment A ● MyMath Ch 12: 3D Shapes ● K-1 CGI assess codebook Supporting Concepts: ● DDDs - Describe, Draw, Describe ● Counting Collections ● Count to 100 Supporting Concept Areas (spiral these activities): ● Addition ● Counting Collections (Grouping, joining, subtracting) ● Subtraction ● Word Problems (all problem types)

CA Mathematics Standards for College and Career Readiness K.MD.1, K.MD.2, K.MD.3 K.G.1, K.G.2, K.G.3, K.G.4, K.G.5, K.G.6 K.NBT.1

Mathematical Practices 1-3-6 = connections to EL/ELD and NGSS standards: See Overview Curriculum Guide for details of grade expectations

Curriculum Resources Supplementary to Course Textbook Unit 3: Numbers and Operations in Base Ten/Measurement/Geometry Supplementary trimester 3

Number Talks *(cheat sheet)

K5 Math Number Activities: ● Scroll down for sample activities with Numbers and Operations in Base Ten (NBT) standards ● Sample activities for Geometry (G) standards ● Sample activities for Measurement and Data (MD) standards

Three Act Tasks: ● Peas in a Pod (K.NBT.1) ● Counting Squares (K.NBT.1) ● Stage 5 Series (K.NBT.1) ● Shark Bait (K.NBT.1) ● Lil' Sister (K.MD.2)

Engage NY: ● Module 5, Topic A (K.NBT.1) ● Module 5, Topic B (K.NBT.1) ● Module 5, Topic E (K.NBT.1) ● Module 6 (K.G.5, 6)

Downey website (CGI resources): http://www.dusd.net/cgi/kindergarten-routines/

Math Solutions: ● "What's This One Called?" (K.G.2, 5) ● Teaching the Greedy Triangle (K.G.2, 5) ● Quick as a Cricket (K.MD.3)

Math Games: ● Number Bingo (click on 10-20 to to do teen numbers) ● Fuzz Bugs (sorting & comparing)

Unit Vocabulary long/longer, short/shorter, tall/taller, heavy/heavier, light/lighter, sort, classify, compare, circle, square, triangle, rectangle, sphere, cone, cylinder, cube