Math Curriculum Guide. Kindergarten School Year

Transcription

1 Math Curriculum Guide Kindergarten School Year

2 Dear Colleague, This curriculum guide includes/provides: Alignment to the New York State Learning Standards (CCLS) A recommended, not strictly required, pace and sequence to follow while utilizing the envision program. o Adjustments may occur based upon your school s alternate schedules and your particular students needs. Additional resources per topic to further develop student fluencies and problem solving ability. o Sprints to develop students number sense, fluencies and mental math skills. o Performance Tasks to provide opportunities for students to think criticially and creatively in non-routine scenarios. Through discussion and writing, students will enhance their ability to communicate mathematically. Attention to the CCLS Priority Standards Standards that are Major priorities are typed in bold and italics, and shaded in green recommended as 70% of our time. Standards that are supporting topics are typed in italics only, and shaded in blue recommended as 20% of our time. Standards that are additional topics are typed in regular font, and shaded in yellow recommended as 10% of our time. Unit/Topic and Lesson Essential Questions Share these questions with your students to assist in providing a focus for the lesson and/or unit as a whole. Post them in your classroom in predominate locations. Reflection and Revision Opportunities A column. o Collegial feedback and considerations are included to more efficiently uncover specific learning objectives. o White space is available to include your own current notes and plans. o Room to indicate when are where the Sprints & Performance Tasks are used. Guidance for End-Of-Year Instruction Time to revisit some of the Major priority standards again. o Consider utilizing center activities, Sprints, Performance Tasks, ExamView or other valuable resources. The symbol has been included in the teacher notes column for each lesson that is included in our end-of-year instruction. The Step-Up resources should only be used as enrichment, or if all grade level concepts are mastered Have an excellent school year!

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4 Unit/Topic 1: One to Five 1 - K.CC.4a K.CC.4b PK.CC.3 Finger Recognition 12 - PK.CC.3 K.CC.4 Five s How can numbers from 1 to 5 be counted, read and written? Performance envision Enrichment Master Topics and/or envision Topic Opener Game Topic 1-1 Suggested Time 9/9 1-1 Number counting 1, 2, 3 K.CC.4.a How does counting tell how many? 9/ Counting 1, 2, and 3 in different arrangements K.CC.4.b How can you tell just by looking how many objects there are in a group? 9/ Reading and Writing 1, 2, and 3 K.CC.3 K.CC.4 Why is writing the number 1, 2 or 3 important? envision Enrichment 1-3 9/ Counting 4 and % K.CC.4.a Why is the last number you say important when counting a set of objects? 9/ Counting 4 and 5 in Different Arrangements K.CC.4.b How can you recognize different arrangements of 4 or 5 objects? 9/ Reading and Writing 4 and 5 K.CC.3 K.CC.4 Why is writing the numbers 4 and 5 important? 9/ Problem Solving Use Objects ` K.CC.4b How can you use objects to solve a problem envision Enrichment 1-7 9/18-9/19 Review and Assess Topic 1 9/20 Day 1: District-Wide Fall Math Assessment (Multiple Choice) Day 2: District-Wide Fall Math Assessment (Performance Tasks)

5 Unit/Topic 2: Comparing and ordering K.CC.2 K.CC.4b K.CC.4c Count to K.CC.2 K.CC.4b K.CC.4c Count to PK.CC.3 K.CC.4 Number Recognition (1-5) How can numbers from 0-5 be compared and ordered? Performance envision Enrichment Master Topics and/or envision Topic Opener Game Topic 2-1 Suggested Time 9/ More, Fewer and Same As How does using the number one-to-one correspondence help you compare two sets of objects? 9/ and 2 More 9/25 9/ and 2 Fewer How can you tell whether a group has one more or two more? How can you tell whether a group has one fewer or two fewer? It is strongly suggested to use the Quick Check Master in section 4. 9/ The Number 0 K.CC.3 What number would you use to show no objects or none? envision Enrichment 2-4 9/ Reading and Writing 0 10/1 2-6 As Many, More, and Fewer K.CC.3 K.CC.4 10/2 2-7 Ordering numbers 0 to 5 K.CC.4.c What number would you use to show no objects or none? How does matching objects in two groups of objects help you know which group has more, fewer than or as many as the other group? How can you use objects to show the number sequence 0 to 5? 10/ /4 2-9 Ordinal Numbers Through Fifth Problem Solving: Use Objects K.CC.4 K.CC.4.c K.CC.4b K.CC.4c How can you describe the order of five things in a row? envision Enrichment 2-8 How can you use connecting cubes to solve a problem? 10/7 10/8 Review and Assess Topic 2

6 Unit/Topic 3: Six to Ten 16 - K.CC.2 1.OA.5 Count to K.CC.2 1.OA.5 Count to K.CC.2 1.OA.5 Count to 10 How can numbers from 6 to 10 be counted, read and written? Performance envision Enrichment Master Topics and/or envision Topic Opener Game Topic 3 Suggested Time 10/9 3-1 Counting 6 and 7 10/ Reading and Writing 6 and 7 10/ Counting 8 and 9 K.CC.4.b K.CC.3 K.CC.4 K.CC.4.b How can you be that you are counting correctly? Why is writing the number 6 or 7 important? envision Enrichment 3-2 What does the last number you say when counting a set of objects tell you? 10/ Reading and Writing 8 and 9 K.CC.3 K.CC.4 When can you write the number 8 to show how many items are in a group? 10/ Counting 10 K.CC.4b How to use counting to tell how many objects are in a set? envision Enrichment / Reading and Writing 10 K.CC.3 K.CC.4 Which number can you use to show there are 10 items in a group and can you use any other number to show 10 items? 10/ Problem Solving: Look for a Pattern K.CC.4.b K.CC.4a K.CC.4c How can you predict what comes next in a growing pattern? Vocabulary: growing pattern 10/21 Adding a Row to Finish a Pattern How can you draw a row to finish a pattern? 10/22 10/23 Review and Assess Topic 3

7 Unit/Topic 4: Comparing and Ordering Numbers 0 to K.CC.7 Circle the Smallest Number 10 - K.CC.7 Circle the Biggest Number 10/ Comparing numbers to 10 10/ Comparing numbers to 5 K.CC.7 K.CC.7 How can numbers from 0 to 10 be comparred and ordered? Performance envision Enrichment Master Topics and/or envision Topic Opener Game Topic 4 How do you know which number is greater than another? How can you use 5 as a benchmark to compare numbers? envision Enrichment /28 Introduce 10 frame 10/ Comparing numbers to 10 10/ More 10/ Fewer 11/ More 11/ Fewer 11/3 4-8 Ordering Numbers Through 10 11/4 4-9 Ordering numbers on the Number Line 11/ Problem Solving Use Objects 11/6 11/7 11/8 K.CC.7 K.CC7 K.CC7 K.CC7 K.CC7 K.CC.2 K.CC.4.c How can you tell if a number is less than 10? How can you find the number that is one more than another number? How can you find a number that is one fewer than another number? How can you find the number that is two more than another number? How can you find a number that is 2 fewer than another number? Which numbers do you that come after 5? K.CC.2 How can you use a number line to help count from 0 to 10? K.CC.7 How do you use counters to solve a problem? envision Enrichment 4-10 Day 1 and Day 2: Review and assess Topics 1-4 (Topic 4 Test is optional) Day 3: envision Benchmark Topics 1-4

8 Unit/Topic 5: Numbers to K.CC2 1.NBT.1 Fill in the Missing Number How can numbers to 20 be read and written? In preparation for individual student work on the upcoming district-wide Performance Benchmark, this Performance Task is highly recommended: Inside Mathematics (Kindergarten) The Wheel Shop 11/ Counting, Reading and Writing 11 &12 K.CC.4.b K.CC.3 When should you write the number 11 to tell about a set of objects? The number 12? 11/ Counting, Reading and Writing 13, 14 and 15 K.CC.4.b K.CC.3 When should you write the number 13 to tell about a set of objects? The number 14? The number 15? 11/ Counting, Reading and Writing 16 and 17 K.CC.4.b K.CC.3 What do the numbers 16 and 17 tell you about sets of objects? 11/ Counting, Reading and Writing 18, 19 and 20 K.CC.4.b K.CC.3 When can you use the number 18 to tell about a set of objects? Can you use the number words Nineteen or twenty to tell about the same set of objects? 11/18 11/ Problem Solving: Use Logical Reasoning K.CC.2 How can you use logical reasoning to solve a problem? 11/19 11/20 Review and Assess Topic 5

9 Unit/Topic 6: Numbers to NBT.4 1.NBT.5 1.NBT.6 Skip Count by 10s How can numbers to 100 be counted using a 100 chart? Exemplars K.CC.1-100TH Birthday Celebration Inside Mathematics (Kindergarten) Through The Grapevine 11/21-11/27 Review numbers to 30. Informally assess before beginning Topic 6. 12/2 6-1 Counting to 30 K.CC.1 K.CC.2 K.CC.4b Utilize 3-4 days before continuing to counting to 30. When will you count to 30 to find out about a set of objects? 12/3 12/4 12/5 12/6 12/9 12/10 12/ About How Many? How can you estimate how many objects are in a group? 6-3 Counting to 100 K.CC.1 What numbers are repeated in each column as you count? 6-4 Counting Groups of Ten K.CC.1 How can you count objects that are in groups of ten? 12/12 12/ Patterns on a Hundred Chart K.CC.1 When you count by 2s and 10s on a hundred chart, what patterns do you see? 12/16 12/ Problem Solving K.CC.1 K.CC.2 How can you find a pattern to solve a problem? 12/18 Review counting to 100 using 100 chart, and number order before proceeding to Topic 7 12/19 12/20 Review and Assess Topic 6

10 Unit/Topic 7: Understanding Addition 7 - K.CC.2 1.OA.6 Make K.CC.2 1.OA.6 Make 5 How can numbers from 0 to 20 be counted, read and written? Exemplars -Canoe Trip Inside Mathematics (Kindergarten) Pick A Pocket 1/2 7-1 Stories About Joining How does moving two groups of objects together help you know how many objects there in all? 1/3 7-2 More Joining What can you tell by looking at pictures of two groups that have a circle around them? 1/6 7-3 Joining Groups What do you find out when you join two groups, or two parts of a whole? 1/7 7-4 Using the Plus Sign What symbol can write to show joining two groups? 1/8 7-5 Finding Sums What symbols can you write to show adding two groups and finding the sum? 1/9 7-6 Addition Sentences What information does an addition sentence tell you? 1/ Problem Solving: Draw a Picture What do you draw to solve a problem about joining groups? 1/13 1/14 Review and Assess Topic 7

11 Unit/Topic 8: Understanding Subtraction 31-1.OA.6 Subtract by Crossing Out What types of situations involve subtraction? envision Enrichment Master Topics Inside Mathematics (Kindergarten) Party Time and Surrounded and Covered Exemplars Fishing 1/ Stories About Separating 1/ Stories About Take Away 1/ Stories About Comparing 1/ Problem Solving: Act It Out 1/ Using the Minus Sign 1/ Finding Differences 1/ Subtraction Sentences 1/ Problem Solving How does moving an object, or objects, to the side of a group of objects help you know many objects are left? How can you act out a number story about things taken away? How does matching one object in one group with another object in another group help you find out about two groups? What do you to act out to solve a problem about taking away part of a group? What symbol can you write to show separating a part of a group from the whole group? What symbol can you write in a number sentence between a number being subtracted and a number that tells how many objects are left? What information does a subtraction sentence tell us? How can you use counters to solve a problem? 1/28 1/29 1/30 Day 1: Review Topics 5-8 (Topic 8 test is optional) Day 2: REVIEW- Benchmark Practice Topics 5-8 Day 3: envision Benchmark Assessment 5-8 and Exemplar K.NBT.1 - Clay Pots

12 Unit/Topic 9: More Addition & Subtraction 32-1.OA.6 Add and Subtract 30-1.OA.6 Add With Sums of 10 and Under What are different ways to make a number? envision Enrichment Master Topics Suggested Time State Standard(s) 1/ Making 4 & 5 K.OA.3 Why can you show the same number of objects in different ways? 2/3 9-2 Writing Number Sentences for 4 & 5 K.OA.3 How can number sentences represent part-part-whole relationships? envision Enrichment 9-2 2/4 9-3 Making 6 &7 K.OA.3 How can you show a whole group of objects in a different way? 2/5 9-4 Writing Number Sentences for 6 & 7 K.OA.3 How can the parts of a number be written as a number sentence? 2/6 9-5 Making 8 & 9 K.OA.3 How can you show the same number of objects in different ways? 2/7 9-6 Writing Number Sentences for 8 & 9 K.OA.3 How can the parts of a number be written as a number sentence? 2/ Making Ten K.OA.3 How can you show the same number in different ways? envision Enrichment 9-7 2/ Writing Number Sentences For 10 K.OA.3 How can the parts of a number be written as a number sentence? 2/ Problem Solving: Make a Graph K.MD.3 How do you use a graph to solve a problem? 2/13 2/14 Review and Assess Topic TH DAY CELEBRATION - Use this day wherever it falls

13 Unit/Topic 10: Composing Numbers 11 to 19 How can you add 1 ten and some ones to make the numbers 11 to 19? 26 - K.NBT.1 1.NBT.2b Place Value Counting to 20 Exemplars K-2 Math Practices - Birthday Gift Shopping envision Enrichment Master Topics 2/ Making 11, 12 & 13 K.NBT.1 How can the parts of a number be represented as a number sentence? nvision Enrichment / Making 14, 15 & 16 K.NBT.1 How can the parts of a number be represented as a number sentence? nvision Enrichment / Making 17, 18 & 19 K.NBT.1 How can the parts of a number be represented as a drawing or as a number sentence with 10 as one of the parts? envision Enrichment / Problem Solving: Look For a Pattern K.NBT.1 What patterns are there on the first two rows of the hundred chart, and how can the patterns be represented? envision Enrichment /3 3/4 Review and Assess Topic 10

14 Unit/Topic 11: Decomposing Numbers 11 to OA.6 2.OA.2 Sums Between 10 and 20 (9) 13 - K.OA.3 K.OA.4 1.OA.6 Ten s How can we break the numbers into parts? Exemplars K-2 Math Practices - Bowls of Apples envision Enrichment Master Topics 3/ Creating Sets to 19 K.NBT.1 What strategies can you use to find the number of objects in a set greater than 10? 3/ Parts of 11, 12 & 13 K.NBT.1 How can 11, 12 & 13 be broken into ten ones and some more ones using a drawing and a number sentence? envision Enrichment / Parts of 14, 15 & 16 K.NBT.1 How can 14, 15 & 16 be broken into ten ones and some more ones using a drawing and a number sentence? envision Enrichment / Parts of 17, 18 & 19 K.NBT.1 How can 17, 18 & 19 be broken into ten ones and some more ones using a drawing and a number sentence? 3/11 3/ Problem Solving: Look for a Pattern K.NBT.1 What patterns can be identified and extended to decompose numbers11 to 19 into ten and ones? 3/13 3/14 Review and Assess Topic 11

15 Unit/Topic 12: Measurement 24 - PK.MD.1 K.MD.1 Measurement 25 - PK.MD.1 K.MD.1 Length How can objects be compared and ordered by length, height and weight? Exemplars K-2 Math Practices - Hot Chocolate envision Enrichment Master Topics Inside Mathematics (Kindergarten) Digging Dinosaurs 3/ Describing Objects by More Than One Attribute K.MD.1 How can you describe the attributes of an object? 3/ Comparing by Length K.MD.1 K.MD.2 What words tell how long objects are? envision Enrichment / More Comparing Objects by Length K.MD.1 K.MD.2 How can you compare the lengths of three objects? 3/ Problem Solving: Try, Check, and Revise K.MD.1 K.MD.2 How can you make a good guess to try to solve a problem? 3/ Comparing by Height K.MD.1 K.MD.2 What words tell how tall objects are? envision Enrichment / More Comparing objects by Height K.MD.1 K.MD.2 How can you compare the height of three objects? 3/ Comparing Capacities K.MD.1 K.MD.2 How can you tell if a container holds the same, more, or less than another? 3/ Comparing Weight K.MD.1 K.MD.2 How can you compare the weights of two objects? 3/27 3/28 3/31 Day 1- Review Topics 9-12 (Topic 12 test is optional) Day 2: REVIEW- Benchmark Practice Topics 9-12 Day 3: envision Benchmark Assessment 9-12 & Exemplars K-2 Math Practices - Octopus

16 Unit/Topic 13: Sorting, Classifying, Counting and Categorizing Data What are the different ways objects can be grouped? 23 - P Patterns Exemplars K-2 Math Practices - Flags envision Enrichment Master Topics Inside Mathematics (Kindergarten) Measuring Mammals 4/ Same & Different K.MD.3 What does looking at the color, shape and size of objects help you know about them? 4/ Sorting by One Attribute K.MD.3 What are some ways you can sort objects? 4/ Sorting the Same Set in Different Ways K.MD.3 How does looking at the color and shapes of objects in a set help you sort them n two ways? 4/ Sorting by More Than One Attribute K.MD.3 In order to make a group of objects that are exactly alike in two ways, what should you notice about the objects? 4/ Problem Solving: Use Logical Reasoning K.MD.3 K.G.1 How can you use what you know to solve a problem? envision Enrichment / Real Graphs K.MD.3 How does making and reading a real graph help you answer questions? 4/ Picture Graphs K.MD.3 How does making a graph with pictures help you answer questions? 4/10 4/11 Review and Assess Topic 13

17 Unit/Topic 14: Identifying and Describing Shapes 2 - PK.MD.1 Same How can shapes be names and described? Exemplars K.G.5 - Pig Pens envision Enrichment Master Topics Inside Mathematics (Kindergarten) Between the Lines 4/ Rectangles K.G.2 How can you tell if a shape is a rectangle? 4/ Squares K.G.2 How can you tell if a shape is a square? 4/ Circles K.G.2 How can you tell if a shape is a circle? 4/ Triangles K.G.2 How can you tell if a shape is a triangle? envision Enrichment / Hexagons K.G.2 How can you tell if a shape is a hexagon? 5/ Solid Figures K.G.2 K.G.3 What do you look for when you describe and match shapes? 5/ Flat Surfaces of Solid Figures K.G.2 K.G.3 How can you describe the flat surfaces of solids? 5/ Problem Solving: Use Objects K.G.2 How can you use objects to solve a problem? 5/6 5/7 Hands on Lessons using Solid Figures 5/8 5/9 Review and Assess Topic 14

18 Unit/Topic 15: Position and Location of Shapes 3 - PK.MD.1 What words can be used to describe the position and location of shapes? Exemplars K.G.4 - Geometry envision Enrichment Master Topics Inside Mathematics (Kindergarten) The Shape of Things 5/ Inside and Outside K.G.1 How can you describe where something is using the words inside and outside? 5/ Above, Below and On K.G.1 How can you describe where something is using the words above, below, or on? envision Enrichment / In Front Of and Behind K.G.1 How can you describe where something is using the words In front of, behind, next to, or beside? envision Enrichment / Left and Right K.G.1 How can you use the words left and right to describe where something is? 5/ Problem Solving: Act it Out K.G.1 How can acting out a problem help you solve it? 5/19 5/20 Review and Assess Topic 15

19 Unit/Topic 16: Analyzing, Comparing, and Composing Shapes 29-1.OA.6 Find the Whole How can shapes be named, described, compared, and composed? Exemplars K.G.2 - Paleontologist envision Enrichment Master Topics 5/ Same Size, Same Shape K.G.4 K.G.2 How do you know when shapes are exactly the same? 5/ Making Shapes from Other Shapes? K.G.6 K.G.4 How can you use smaller shapes to make a lager shape? 5/ Comparing Solid Figures K.G.4 K.G.2 How are the sphere, cube, cylinder, and cone alike? 5/ Building with Solid Figures K.G.5 K.G.2 What three-dimensional shapes can you make using solid figures? envisions Enrichment / Problem Solving: Use Logical Reasoning K.G.4 K.G.3 How can you identify a shape based on clues about its attributes? 5/30 6/3 6/4 6/5 6/6 Day 1, Day 2, and Day 3: Review Topics (Topic 16 test & Benchmark Assessment are optional) Day 4 and Day 5: District-Wide Spring Math Assessment

20 Grade Level Priorities For Review Lessons 6/9 4-8, 4-9, 5-5, 6-1, 6-6 K.CC.2 Essential Understandings Counting forward from a given number within the known sequence. 6/10 2-1, 2-2, 2-3, 2-6, 2-9, 4-1, 4-2, 4-3, 4-4, 4-5, 4-6, 4-7 Identify whether the number of objects in one group is greater than, less than, or equal to the number of the objects in another group, e.g., by using matching and counting strategies. 6/11 4-1, 4-2, 4-3, 4-5, 4-6, 4-7, 4-10 K.CC.7 Compare two numbers between 1 and 10 presented as written numerals. 6/12 7-1, 7-2, 7-3, 7-4, , 7-7, 8-1, 8-2, 8-3, 8-4, 8-5, 8-6, 8-7, 8-8 Solve addition and subtraction word problems, and add and subtract within 1-, e.g., by using objects or drawings to represent the problem. 6/13 9-1, 9-2, 9-3, 9-4,9-5, 9-6,9-8 K.OA.3 Decompose number less than or equal to 10 into pairs in more than one way, e.g., by using or drawings and record each decomposition by a drawing or equation (5=2=3 and 5=4+1) 6/ K.OA.4 6/ , 10-2, 10-3, 10-4, 11-1, 11-2,11-3,11-4,11-5 K.NBT.1 For any number from 1to 9, find the number that makes 10 when added to the given number, e.g., by using objects or drawing, and record that answer with the drawing or equation. Compose and decompose numbers from 11 to 19 into ten ones and some further ones, e.g., by using objects or drawings, and record each composition or decomposition by a drawing or equation (such as 18=10+8) ; understand that these numbers are composed of ten ones and one, two, three, four, five, six, seven, eight, or nine ones. 6/18-6/27 Use Step Up To First Grade ONLY as Enrichment and/or After All Kindergarten Concepts Are Mastered