Math K Curriculum Guide

Math Curriculum Guide Kindergarten 2012 – 2013 School Year

Dear Colleague, Please use this curriculum guide to assist in your planning of mathematical instruction during the school year. The included unit/topic plans are aligned with the New York State Common Core State Standards (CCSS) and utilize the enVision resources to uncover these understandings. In addition to this curriculum guide, it is recommended that you utilize the grade level calendar to pace your lessons and units of instruction. Although specific lessons and standards are listed per date, it is not required that this be strictly followed per day. Adjustments in your pacing may occur based upon your school’s alternate schedules and your particular student’s needs.

The CCSS are divided into standards that are major priorities, supporting topics and additional topics. This highlighting scematic (bold and/or italics) will be utilized within each unit to identify these differences. All included lessons are required to be taught; however, emphasis should be placed on ensuring a full understanding of the major priorities.

Assessments should mirror this hierarchy of priorities as well.

When reviewing these curriculum guides, please note the included essential questions, both per topic and lesson. These were developed with the intent of sharing with your students. Consider posting these questions for students to become immersed in and as a means of keeping the class conversation focused on the objective of the period or unit as a whole.

Additionally, please take advantage of the space provided on each page for you to include your own notes. Knowing that we are in the beginning phases of implementing the CCSS, along with utilizing the enVision resources, it is imperative that we consistently reflect upon on our practice, and consider various approaches and strategies to provide an optimal learning environment for all of our students to become successful. Please continue collaborating with your colleagues to work towards achieving this goal.

Finally, you will notice during the post assessment time period, that some of the major priority standards have been included again as a plan of instruction. This will provide you with time to delve more deeply into these already discussed concepts. In planning student experiences, consider utilizing the center activities, problem solving questions, ExamView generated worksheets, or any other resources that you have found valuable pertaining to these concepts. The following symbol * has been included in the teacher notes column for each of the lessons that might reappear during this post assessment time period. Be proactive and put aside resources that you could use during this time period.

Have an excellent 2012 – 2013 school year!

HHH Math Kindergarten Curriculum Guide Unit/Topic 1: One to Five How can numbers from 1 to 5 be counted, read and written?

Lesson Number and Title

Common Core State Standard(s)

Essential Question(s)

Weeks of Sept.10, Sept.17, Sept.25 9 days

1-1

Number counting 1, 2, 3

K.CC.4.a K.CC.5

How does counting tell how many?

1-2

Counting 1, 2, and 3 in different arrangements

K.CC.4.b K.CC.5

How can you tell just by looking how many objects there are in a group?

1-3

Reading and Writing 1, 2, and 3

K.CC.3 K.CC.4 K.CC.5

Why is writing the number 1, 2 or 3 important?

1-4

Counting 4 and %

K.CC.4.a K.CC.5

Why is the last number you say important when counting a set of objects?

1-5

Counting 4 and 5 in Different Arrangements

K.CC.4.b K.CC.5

How can you recognize different arrangements of 4 or 5 objects?

1-6

Reading and Writing 4 and 5

K.CC.3 K.CC.4 K.CC.5

Why is writing the numbers 4 and 5 important?

1-7

Problem Solving Use Objects

`K.CC.5 K.CC.4b

How can you use objects to solve a problem

Teacher Notes

HHH Math Kindergarten Curriculum Guide Unit/Topic 2: Comparing and ordering 0-5 How can numbers from 0 -5 be compared and ordered

Lesson Number and Title

Weeks of Sept. 24, Oct.1 & Oct.8 11 days

Common Core State Standard(s)

Essential Question(s)

Teacher Notes

2-1

More, Fewer and Same As

K.CC.6

Hoe does using the number one-to-one correspondence help you compare twp sets of objects?

*

2-2

1 and 2 More

K.CC.6

How can you tell whether a group has one more or two more?

*

2-3

1 and 2 Fewer

K.CC.6

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.

2-4

The Number 0

K.CC.3

What number would you use to show no objects or none?

2-5

Reading and Writing 0

K.CC.3 K.CC.4 K.CC.5

What number would you use to show no objects or none?

2-6

As Many, More, and Fewer

K.CC.6

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?

2-7

Ordering numbers 0 to 5

K.CC.4.c

How can you use objects to show the number sequence 0 to 5?

2-8

Ordinal Numbers Through Fifth

K.CC.4 K.CC.4.c

How can you describe the order of five things in a row?

2-9

Problem Solving: Use Objects

K.CC.6 K.CC.4b K.CC.4c

How can you use connecting cubes to solve a problem?

*

*

HHH Math Kindergarten Curriculum Guide Unit/Topic 3: Six to Ten How can numbers from 6 to 10 be counted , read and written?

Lesson Number and Title

Common Core State Standard(s)

Essential Question(s)

Weeks Oct. 15 & Oct. 22 9 Days

3-1

Counting 6 and 7

K.CC.4.b K.CC.5

How can you be that you are counting correctly?

3-2

Reading and Writing 6 and 7

K.CC.3 K.CC.4 K.CC.5

Why is writing the number 6 or 7 important?

3-3

Counting 8 and 9

3-4

Reading and Writing 8 and 9

K.CC.3 K.CC.4 K.CC.5

When can you write the number 8 to show how many items are in a group?

3-5

Counting 10

K.CC.4b K.CC.5

How to use counting to tell how many objects are in a set?

3-6

Reading and Writing 10

K.CC.3 K.CC.4 K.CC.5

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?

3-7

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?

K.CC.4.b K.CC.5

Teacher Notes

What does the last number you say when counting a set of objects tell you ?

Vocabulary: growing pattern

HHH Math Kindergarten Curriculum Guide Unit/Topic 4: Comparing and Ordering Numbers 0 to 10 How can numbers from 0 to 10 be comparred and ordered?

Lesson Number and Title

Common Core State Standard(s)

Weeks of Oct.22, Oct. 29, Nov.5, Nov.12, 12 Days

Essential Question(s)

How do you know which number is greater than another?

4-1

Comparing numbers to 10

K.CC.6 K.CC.7

4-2

Comparing numbers to 5

K.CC.6 K.CC.7

How can you use 5 as a benchmark to compare numbers?

4-3

Comparing numbers to 10

K.CC.6 K.CC.7

How can you tell if a number is less than 10?

4-4

1 More

4-5

1 Fewer

4-6

2 More

4-7

2 Fewer

4-8

K.CC.6 K.CC7 K.OA.1 K.CC.6 K.CC7 K.OA.1 K.CC.6 K.CC7 K.OA.1

Teacher Notes

*

*

* Introduce 10 frame.

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?

*

K.CC.6 K.CC7 K.OA.1

How can you find a number that is 2 fewer than another number?

*

Ordering Numbers Through 10

K.CC.2 K.CC.4.c

Which numbers do you that come after 5?

*

4-9

Ordering numbers on the Number Line

K.CC.2

How can you use a number line to help count from 0 to 10?

*

4-10

Problem Solving Use Objects

K.CC.7

How do you use counters to solve a problem?

*

HHH Math Kindergarten Curriculum Guide Unit/Topic 5: Numbers to 20 How can numbers to 20 be read and written?

Lesson Number and Title

Weeks of Nov.12, Nov.19, Nov26, 7 Days

Common Core State Standard(s)

Essential Question(s)

5-1

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?

5-2

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?

5-3

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?

5-4

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?

5-5

Problem Solving: Use Logical Reasoning

K.CC.2

How can you use logical reasoning to solve a problem?

Teacher Notes

*

HHH Math Kindergarten Curriculum Guide Unit/Topic 6: Numbers to 100 How can numbers to 100 be counted using a 100 chart?

Lesson Number and Title

Weeks of Nov.26, Dec. 3, 8 Days

Common Core State Standard(s)

Essential Question(s)

6-1

Counting to 30

K.CC.1 K.CC.2 K.CC.4b

When will you count to 30 to find out about a set of objects?

6-2

About How Many?

K.CC.5

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 f ten?

6-5

Patterns on a Hundred Chart

K.CC.1

When you count by 2s and 10s on a hundred chart, what patterns do you see?

6-6

Problem Solving

K.CC.1 K.CC.2

How can you find a pattern to solve a problem?

Teacher Notes

*

*

HHH Math Kindergarten Curriculum Guide Unit/Topic 7: Understanding Addition How can numbers from 0 to 20 be counted, read and written.

Lesson Number and Title

Common Core State Standard(s)

Weeks of December 10 -17, 9 Days

Essential Question(s)

Teacher Notes

7-1

Stories About Joining

K.OA.1 K.OA.2 K.OA.5

7-2

More Joining

K.OA.1 K.OA.2 K.OA.5

What can you tell by looking at pictures of two groups that have a circle around them?

*

7-3

Joining Groups

K.OA.1 K.OA.2 K.OA.5

What do you find out when you join two groups, or two parts of a whole?

*

7-4

Using the Plus Sign

K.OA.1 K.OA.2 K.OA.5

What symbol can write to show joining two groups?

*

7-5

Finding Sums

K.OA.1 K.OA.2 K.OA.5

What symbols can you write to show adding two groups and finding the sum?

*

7-6

Addition Sentences

K.OA.1 K.OA.2 K.OA.5

What information does an addition sentence tell you?

*

7-7

Problem Solving: Draw a Picture

K.OA.1 K.OA.2 K.OA.5

What do you draw to solve a problem about joining groups?

*

How does moving two groups of objects together help you know how many objects there in all?

*

HHH Math Kindergarten Curriculum Guide Unit/Topic 8: Understanding Subtraction What types of situations involve subtraction?

Lesson Number and Title

Weeks of January 1, 7 & 14, 10 Days

Common Core State Standard(s)

Essential Question(s)

Teacher Notes

8-1

Stories About Separating

K.OA.1 K.OA.2 K.OA.5

How does moving an object, or objects, to the side of a group of objects help you know many objects are left?

*

8-2

Stories About Take Away

K.OA.1 K.OA.2 K.OA.5

How can you act out a number story about things taken away?

*

8-3

Stories About Comparing

K.OA.1 K.OA.2 K.OA.5

How does matching one object in one group with another object in another group help you find out about two groups?

*

8-4

Problem Solving: Act It Out

K.OA.1 K.OA.2 K.OA.5

What do you to act out to solve a problem about taking away part of a group?

*

8-5

Using the Minus Sign

K.OA.1 K.OA.2 K.OA.5

What symbol can you write to show separating a part of a group from the whole group.

*

8-6

Finding Differences

K.OA.1 K.OA.2 K.OA.5

What symbol can you write in a number sentence between a number being subtracted and a number that tells how many objects are left?

*

8-7

Subtraction Sentences

K.OA.1 K.OA.2 K.OA.5

What information does a subtraction sentence tell us.

*

8-8

Problem Solving

How can you use counters to solve a problem?

*

K.OA.1 K.OA.2

HHH Math Kindergarten Curriculum Guide Unit/Topic 9: More Addition & Subtraction What are the different ways to make a number?

Lesson Number and Title

Weeks of January 14, 21 & 28, 11 Days

Common Core State Standard(s)

Essential Question(s)

Teacher Notes

9-1

Making 4 & 5

K.OA.3

Why can you show the same number of objects in different ways?

*

9-2

Writing Number Sentences for 4&5

K.OA.3

How can number sentences represent part-part-whole relationships?

*

9-3

Making 6 &7

K.OA.3

How can you show a whole group of objects in a different way?

*

9-4

Writing Number Sentences for 6& 7

K.OA.3

How can the parts of a number be written as a number sentence?

*

9-5

Making 8&9

K.OA.3

How can you show the same number of objects in different ways?

*

9-6

Writing Number Sentences for 8 & 9

K.OA.3

How can the parts of a number be written as a number sentence?

*

9-7

Making Ten

K.OA.3

How can you show the same number in different ways?

*

9-8

Writing Number Sentences For 10

K.OA.3

How can the parts of a number be written as a number sentence?

*

9-9

Problem Solving: Make a Graph

K.MD.3

How do you use a graph to solve a problem?

HHH Math Kindergarten Curriculum Guide Unit/Topic 10: Composing Numbers 11 to 19 How can you add 1 ten and some ones to make the numbers 11 to 19?

Lesson Number and Title

Common Core State Standard(s)

Essential Question(s)

Weeks of February 1 & 4, 6 Days

Teacher Notes

10-1

Making 11, 12 & 13

K.NBT.1

How can the parts of a number be represented as a number sentence?

*

10-2

Making 14, 15 & 16

K.NBT.1

How can the parts of a number be represented as a number sentence?

*

10-3

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?

*

10-4

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?

*

HHH Math KindergartenCurriculum Guide Unit/Topic 11: Decomposing Numbers 11 to 19 How can we break the numbers 11- 19 into parts?

Lesson Number and Title

Weeks of Feb. 25 & March 4, 7 Days

Common Core State Standard(s)

Essential Question(s)

Teacher Notes

11-1

Creating Sets to 19

K.NBT.1

What strategies can you use to find the number of objects in a set greater than 10?

*

11-2

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?

*

11-3

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?

*

11-4

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?

*

11-5

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?

*

HHH Math Kindergarten Curriculum Guide Unit/Topic 12: Measurement How can objects be compared and ordered by length, height and weight?

Lesson Number and Title

Common Core State Standard(s)

Essential Question(s)

Weeks of March 4, 11 & 18, 10 Days

12-1

Describing Objects by More Than One Attribute

K.MD.1

How can you describe the attributes of an object?

12-2

Comparing by Length

K.MD.1 K.MD.2

What words tell how long objects are?

12-3

More Comparing Objects

by Length

K.MD.1 K.MD.2

How can you compare the lengths of three objects?

12-4

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?

12-5

Comparing by Height

K.MD.1 K.MD.2

What words tell how tall objects are?

12-6

More Comparing objects

by Height

K.MD.1 K.MD.2

How can you compare the height of three objects?

12-7

Comparing Capacities

K.MD.1 K.MD.2

How can you tell if a container holds the same, more, or less than another?

12-8

Comparing Weight

K.MD.1 K.MD.2

How can you compare the weights of two objects?

Teacher Notes

HHH Math Kindergarten Curriculum Guide Unit/Topic 13: Sorting, Classifying, Counting and Categorizing Data What are the different ways objects can be grouped?

Lesson Number and Title

Common Core State Standard(s)

Essential Question(s)

Weeks of March 20, April 1, 9 Days

13-1

Same & Different

K.MD.3

What does looking at the color, shape and size of objects help you know about them?

13-2

Sorting by One Attribute

K.MD.3

What are some ways you can sort objects?

13-3

Sorting the Same Set in Different Ways

K.MD.3

How does looking at the color and shapes f objects in a set help you sort them n two ways?

13-4

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?

13-5

Problem Solving: Use Logical Reasoning

K.MD.3 K.G.1

How can you use what you know to solve a problem?

13-6

Real Graphs

K.MD.3

How does making and reading a real graph help you answer questions?

13-7

Picture Graphs

K.MD.3

How does making a graph with pictures help you answer questions?

Teacher Notes

HHH Math KindergartenCurriculum Guide Unit/Topic 14: Identifying and Describing Shapes How can shapes be names and described?

Lesson Number and Title

Weeks of Sept. 6 & Sept. 12, 10 Days

Common Core State Standard(s)

Essential Question(s)

14-1

Rectangles

K.G.2

How can you tell if a shape is a rectangle?

14-2

Squares

K.G.2

How can you tell if a shape is a square?

14-3

Circles

K.G.2

How can you tell if a shape is a circle?

14-4

Triangles

K.G.2

How can you tell if a shape is a triangle?

14-5

Hexagons

K.G.2

How can you tell if a shape is a hexagon?

14-6

Solid Figures

K.G.2 K.G.3

What do you look for when you describe and match shapes?

14-7

Flat Surfaces of Solid Figures

K.G.2 K.G.3

How can you describe the flat surfaces of solids?

14-8

Problem Solving: Use Objects

K.G.2

How can you use objects to solve a problem?

Teacher Notes

HHH Math KindergartenCurriculum Guide Unit/Topic 15: Position and Location of Shapes What words can be used to describe the position and location of shapes?

Lesson Number and Title

Common Core State Standard(s)

Essential Question(s)

K.G.1

How can you describe where something is using the words inside and outside?

K.G.1

How can you describe where something is using the words above, below, or on?

15-1

Inside and Outside

15-2

Above, Below and On

15-3

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?

15-4

Left and Right

K.G.1

How can you use the words left and right to describe where something is?

15-5

Problem Solving: Act it Out

K.G.1

How can acting out a problem help you solve it?

Weeks of April 22, 29, 7 Days

?

HHH Math Kindergarten Curriculum Guide Unit/Topic 16: Analyzing, Comparing, and Composing Shapes How can shapes be named, described, compared, ad composed?

Lesson Number and Title

Common Core State Standard(s)

Essential Question(s)

Weeks of May 1, 7 Days

16-1

Same Size, Same Shape

K.G.4 K.G.2

How do you know when shapes are exactly the same?

16-2

Making Shapes from Other Shapes?

K.G.6 K.G.4

How can you use smaller shapes to make a lager shape?

16-3

Comparing Solid Figures

K.G.4 K.G.2

How are the sphere, cube, cylinder, and cone alike?

16-4

Building with Solid Figures

K.G.5 K.G.2

What three-dimensional shapes can you make using solid figures?

16-5

Problem Solving: Use Logical Reasoning

K.G.4 K.G.3

How can you identify a shape based on clues about its attributes?

Teacher Notes

HHH Math Kindergarten Curriculum Guide Unit/Topic 17 : Grade Level Priorities

Weeks of

Lessons

Common Core State Standard(s)

Essential Understandings

4-8, 4-9, 5-5, 6-1, 6-6

K.CC.2

Counting forward from a given number within the known sequence.

2-1, 2-2, 2-3, 2-6, 2-9, 4-1, 4-2, 4-3, 4-4, 4-5, 4-6, 4-7

K.CC.6

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.

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.

7-1, 7-2, 7-3, 7-4, 7-5 7-6, 7-7, 8-1, 8-2, 8-3, 8-4, 85, 8-6, 8-7, 8-8

K.OA.2

Solve addition and subtraction word problems, and add and subtract within 1-, e.g., by using objects or drawings to represent the problem.

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)

K.OA.4

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.

K.NBT.1

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.

9-1, 9-2, 9-3, 9-4,9-5, 9-6,9-8

9-7

10-1, 10-2, 10-3, 10-4, 111, 11-2,11-3,11-4,11-5

Teacher Notes