Single-Digit Addition Fluency Grades K-2

1
Single-Digit Addition Fluency Grades K-2
This material was developed for use by
participants in the Common Core Leadership in
Mathematics (CCLM2) project through the
University of Wisconsin-Milwaukee. Use by school
district personnel to support learning of its
teachers and staff is permitted provided
appropriate acknowledgement of its source. Use
by others is prohibited except by prior written
permission.

• Common Core Leadership for Mathematics
• June 26, 2012

Common Core Leadership in Mathematics Project,
University of Wisconsin-Milwaukee, Summer
Institute 2012
2
K-8 Content Domains, CCSSM
K K 1 1 2 2 3 4 5 6 7 7 7 8
Counting Cardinality Counting Cardinality Ratios Proportional Relationships Ratios Proportional Relationships Ratios Proportional Relationships Ratios Proportional Relationships
Operations Algebraic Thinking Operations Algebraic Thinking Operations Algebraic Thinking Operations Algebraic Thinking Operations Algebraic Thinking Operations Algebraic Thinking Operations Algebraic Thinking Operations Algebraic Thinking Operations Algebraic Thinking Expressions Equations Expressions Equations Expressions Equations Expressions Equations Expressions Equations
Number Operations in Base Ten Number Operations in Base Ten Number Operations in Base Ten Number Operations in Base Ten Number Operations in Base Ten Number Operations in Base Ten Number Operations in Base Ten Number Operations in Base Ten Number Operations in Base Ten The Number System The Number System The Number System The Number System The Number System
Number Operations - Fractions Number Operations - Fractions Number Operations - Fractions Number Operations - Fractions Functions Functions
Measurement Data Measurement Data Measurement Data Measurement Data Measurement Data Measurement Data Measurement Data Measurement Data Measurement Data Statistics Probability Statistics Probability Statistics Probability Statistics Probability Statistics Probability
Geometry Geometry Geometry Geometry Geometry Geometry Geometry Geometry Geometry Geometry Geometry Geometry Geometry Geometry
3
Domain Progressions - Number
4
Learning Intentions Success Criteria

• We are learning to
• Understand how fluency with single-digit addition
  subtraction develops and progresses in CCSSM.
• Read interpret the cluster of CCSSM standards
  related to adding and subtracting within 20.
• We will know we are successful when we can
• Understand the strategies students use for
  solving single-digit addition and subtraction
  problems.

Common Core Leadership in Mathematics Project,
University of Wisconsin-Milwaukee, Summer
Institute 2012
5

• Strategy vs. Algorithm

6
Getting started

• Mentally compute the answer to the following
• 1005 998
• 54 48

No pencil or paper please!
Common Core Leadership in Mathematics Project,
University of Wisconsin-Milwaukee, Summer
Institute 2012
7

• Turn and share
• your reasoning.

Common Core Leadership in Mathematics Project,
University of Wisconsin-Milwaukee, Summer
Institute 2012
8
Discuss

• Reread your reflection about algorithm versus
  strategy completed for homework.
• Reflecting on your summary, did you use a
  strategy or an algorithm?
• What do you understand about number relationships
  that allow you to mentally compute answers?

Common Core Leadership in Mathematics Project,
University of Wisconsin-Milwaukee, Summer
Institute 2012
9
CCSS Glossary

• Computation strategy
• Purposeful manipulations that may be chosen for
  specific problems, may not have a fixed order,
  and may be aimed at converting one problem into
  another.
• Computation algorithm
• A set of predefined steps applicable to a class
  of problems that gives the correct result in
  every case when the steps are carried out
  correctly.

Common Core Leadership in Mathematics Project,
University of Wisconsin-Milwaukee, Summer
Institute 2012
10
In Grades K-8, how many standards reference
using strategies?
Grade K CC Grade 1 OA, NBT Grade 2 OA,
NBT Grade 3 OA, NBT Grade 4 NBT, NF Grade 5
NBT Grade 7 NS, EE

• 26 standards

11 of K-8 standards
11

• K-2 Content Standards Progression

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A Content Standards ProgressionGrade 1

• Page 15 of the CCSSM.
• Read the OA domain for Grade 1Operations and
  Algebraic Thinking 1.OA.1-8
• As you read, mark the following
• familiar ideas ?
• surprising ideas !
• confusing ideas ?
• Then turn and share a ? or ! and a ?

Common Core Leadership in Mathematics Project,
University of Wisconsin-Milwaukee, Summer
Institute 2012
13
A Content Standards ProgressionGrade 2

• Page 19 of the CCSSM.
• Read the 2.OA.1 and 2.OA.2
• In what ways do the grade 2 standards build from
  the grade 1 standards?

Common Core Leadership in Mathematics Project,
University of Wisconsin-Milwaukee, Summer
Institute 2012
14
A Content Standards ProgressionGrade K

• Read pages 11-12 of CCSSMK.CC.4a-c, K.OA.3,
  K.OA.4, and K.NBT.
• In what ways do these standards in kindergarten
  lay the foundation for learning single-digit
  addition and subtraction problems?

Common Core Leadership in Mathematics Project,
University of Wisconsin-Milwaukee, Summer
Institute 2012
15

• Using Models

16
Ten Frames

• Ten frames show relationships of small numbers
  to five and ten, in particular, drawing attention
  to the role of 10.

Common Core Leadership in Mathematics Project,
University of Wisconsin-Milwaukee, Summer
Institute 2012
17
How many dots? How did you see it?
18
How many dots? How did you see it?
19
How many dots? How did you see it?
20
Laying a foundation for understanding

• Morgan, Dot Plates, Ten Frames
• Enjoy!

Common Core Leadership in Mathematics Project,
University of Wisconsin-Milwaukee, Summer
Institute 2012
21
Through the Lens of the Math Content

• What does Morgan understandabout number?
• K.OA.3 Decompose numbers less than or equal to
  10 into pairs in more than one way, e.g., by
  using objects or drawings
• K.OA.4 For any number from 1 to 9, find the
  number that makes 10 when added to the given
  number, e.g., by using objects or drawings...

Common Core Leadership in Mathematics Project,
University of Wisconsin-Milwaukee, Summer
Institute 2012
22
Through the Lens of the Math Content

• What is the difference between K.OA.3 and K.OA.4
  in the classroom?
• What value does this foundation have for our
  middle and high school students?
• K.OA.3 Decompose numbers less than or equal to
  10 into pairs in more than one way, e.g., use
  objects or drawings
• K.OA.4 For any number from 1 to 9, find the
  number that makes 10 when added to the given
  number, e.g., using objects or drawings...

Common Core Leadership in Mathematics Project,
University of Wisconsin-Milwaukee, Summer
Institute 2012
23
Learning Intentions Success Criteria

• We are learning to
• Understand how fluency with single-digit addition
  subtraction develops and progresses in CCSSM.
• Read interpret the cluster of CCSSM standards
  related to adding and subtracting within 20.
• We will know we are successful when we can
• Understand the strategies students use for
  solving single-digit addition and subtraction
  problems.