Transcript Fourth Grade Common Core Math Presentation Feb20

Welcome to CCSS
Math Training
th
4
grade
Please begin
assembling your
notebooks. We will
begin at 8:45
Common Core
State Standards
for
Mathematics
Questions? Concerns?
Put them in
the parking
lot!
Learning Targets
 Gain an awareness of the content and
structure of the Common Core State
Standards for Mathematics
 Understand the meaning of the
Mathematical Practices in the CCSSM and
apply the practices to your current
classroom instruction
 Become familiar with the content
standards at your grade level
www.corestandards.org
Common Core Notebooks
 Math Section
CCSS
& Glossary
Learning Progressions
Unpacking Document
Crosswalk Document
Common Core
State Standards
Design and Organization
Standards for Mathematical Practice
Carry across all grade levels
Describe habits of mind of a mathematically expert student


Standards for Mathematical Content
K-8 standards presented by grade level
Domains:


Number and Operations







Counting and Cardinality
Operations and Algebraic Thinking
Number and Operations in Base Ten
Number and Operations—Fractions
Measurement and Data
Geometry
Standards for Mathematical Practices
1.
2.
3.
4.
5.
6.
7.
8.
Make sense of problems and persevere in solving them
Reason abstractly and quantitatively
Construct viable arguments and critique the reasoning
of others
Model with mathematics
Use appropriate tools strategically
Attend to precision
Look for and make use of structure
Look for and express regularity in
repeated reasoning
Standards for Mathematical Practice
While the Content Standards
describe what mathematics students
should be able to understand and do,
the Mathematical Practices
describe how students should
engage with these
mathematical concepts
and skills.
Mathematical Practices
Mathematical practices describe the
habits of mind of mathematically
proficient students.
In your classroom,
Who is doing the talking?
 Who is doing the thinking?
 Who is doing the math?

1. Make sense of problems and persevere in solving
them
6. Attend to precision
Overarching habits of mind of a productive
mathematical thinker.
Standards for Mathematical Practice
2. Reason abstractly and
quantitatively
Reasoning and Explaining
3. Construct viable arguments
and critique the reasoning of
others
4. Model with mathematics
5. Use appropriate tools
strategically
Modeling and Using Tools
7. Look for and make use of
structure.
8. Look for and express regularity
in repeated reasoning
Seeing Structure and Generalizing
Standards for Mathematical Practices
1.
2.
3.
4.
5.
6.
7.
8.
Make sense of problems and persevere in solving them
Reason abstractly and quantitatively
Construct viable arguments and critique the reasoning
of others
Model with mathematics
Use appropriate tools strategically
Attend to precision
Look for and make use of structure
Look for and express regularity in
repeated reasoning
Design and Organization
Standards for Mathematical Practice
Carry across all grade levels
Describe habits of mind of a mathematically expert student


Standards for Mathematical Content
K-8 standards presented by grade level
Domains:


Number and Operations







Counting and Cardinality
Operations and Algebraic Thinking
Number and Operations in Base Ten
Number and Operations—Fractions
Measurement and Data
Geometry
Design and Organization
Grade Level Overviews
Mathematical
Practices
Design and Organization
Content standards define what students should
understand and be able to do
 Clusters are groups of related standards
 Domains are larger groups that progress across grades

Domain
Standards
Grade Level
Content Domains
Illustrative Mathematics Tools
http://illustrativemathemati
cs.org/standards
Common Core Resources
Glossary
Tables
Common addition and subtraction situations
Common Core Resources
Operations and Properties Tables
Table 3. The properties of operations
Unpacking Document
Crosswalks
Focal Points & Critical Areas
Focal Points
Focal Points & Critical Areas
Critical Area
Time to Reflect
Summary
4th Grade Big Ideas
Angle Activity
Making Wax Paper
Protractors
Investigations Unit 4 Session 3
Take a minute to explore
measuring the angles of
Power Polygons.
Trace and record your
findings.
Use the measures you discovered to build a shape that
contains;
a 60 degree angle
a 120 degree angle
a 150 degree angle
Record your findings by tracing the combination of
polygons you used to create each angle listed above.
Be sure to carefully label your drawings.
A Technology Resource for Angles
http://primarygamesarena.com/Banana-Hunt2631
Time to Reflect
Summary
Scavenger
Hunt
1. What grade is the standard algorithm for
multiplication taught?
2. What grade introduces the concept of
probability?
3. What grade level introduces money?
4. What grade level introduces fractions?
5. By the end of what grade should students
memorize multiplication facts with
products to 100?
6. What grade is responsible to teach the eight
mathematical practices?
7. Line symmetry is introduced in what grade?
8. What grade are the concepts of area and
perimeter taught?
Scavenger
Hunt
Answers
1. What grade is the standard algorithm for
multiplication taught? 5th grade
2. What grade introduces the concept of
probability? Not in elementary
3. What grade level introduces money?
2nd grade and it builds through the years
4. What grade level introduces fractions? 3rd grade
5. By the end of what grade should students
memorize multiplication facts with
products to 100? Third grade
6. What grade is responsible to teach the eight
mathematical practices? All of them!
7. Line symmetry is introduced in what grade?
4th grade
8. What grade are the concepts of area and
perimeter taught? 3rd grade
What’s In
Factors and Multiples (4.OA.4)
Multiply a fraction by a whole
number (4.NF.4)
Conversions of measurements
in the same system (4.MD.1 and
4.MD.2)
Angles and Angle Measures
(4.MD.5, 4.MD.6, 4.MD.7)
Lines of Symmetry (4.G.3)
Coordinate system (3.01)
Transformations (3.03)
Line graphs and bar graphs (4.01)
Data – median, range, mode,
comparing sets (4.03)
Probability (4.04)
Number relationships (5.02, 5.03)
What’s Out
Challenges for Next Year
 What concepts need to be addressed in order to help
students transition to the new math standards?
Gaps


Will not have exposure to the basics of area and perimeter
Bar graphs (scaling and analyzing)
Challenges

Students may not have foundational
knowledge in fractions to multiply
Time to Reflect
Summary
Investigations Alignment
 How will Investigations align with the new
Common Core State Standards?
http://investigations.terc.edu/CCSS/
Goals of Investigations
 Support students to make sense of mathematics





and learn that they can be mathematical thinkers.
Focus on computational fluency with whole
numbers as a major goal of the elementary grades.
Provide substantive work in important areas of mathematics—
rational numbers, geometry, measurement, data, and early
algebra—and connections among them.
Emphasize reasoning about mathematical ideas
Communicate mathematics content and pedagogy to teachers.
Engage the range of learners in understanding mathematics.
Investigations and the CCSS
 Close alignment between Investigations & the CCSS
 New work builds on and extends the existing work within the
grade level.
 Some sessions have been omitted to allow for new material.
 Mathematical Practices are aligned with the goals
and principles of Investigations and deeply
embedded in the fabric of the curriculum.
 The Investigations curriculum when taught as
intended, offers students and teachers coherence,
focus, clarity and specificity in the teaching and
learning of mathematics.
“While the CCSS Content Standards describe
what mathematics students should be able to
understand and do, the mathematical
practices describe how students should
engage with these mathematical concepts
and skills. The Investigations curriculum is
intentionally designed to promote a deep
understanding of mathematics and develop
mathematically proficient students who can
think, reason, model and solve problems.”
(Standards for Mathematical Practices in Investigations in Number, Data and Space, p. 6.)
Grade Level Adaptations
Using Investigations to Implement the Common Core – November 4, 2011
Investigations Alignment
 Resources:
 Investigations and the
Common Core State Standards
 Also found online
www.pearsonsuccessnet.com
Investigations Alignment
www.pearsonsuccessnet.com
Investigations and the CCSSM
 Companion materials to Investigations
Investigations and the Common Core State Standards
 Each grade level resource book contains:
An instructional plan for adapting existing content
and adding new content
Teacher and student materials for new content
Sessions, Classroom Routines/TMM, Teaching/PD Notes,
Resource Masters, Assessments
Detailed correlations between Investigations and
Mathematical Practices and Content Standards
 “Snap-in” Instructional Plan Tabs for each unit
How the New Content is Addressed
 Teaching/Math Notes
 Ten Minute-Math/Classroom Routines
 Homework & Practice Pages
 Sessions
Content & Pacing
Try this!
1. Work together to use all seven
tangram pieces to build a square.
2. The square will represent our
whole in today’s activity.
3. Next, work together to figure out
the fractional size of each
tangram piece.
Reflecting on the Task
What makes this activity a good task?
What mathematical practices are reinforced with
this activity?
 What content standards or big ideas are
addressed?


Video
Fractions with Geoboards
http://www.learner.org/vod/vod_window.html?pid=9
05
Time to Reflect
Summary
CCSSM Resources
Books
Magazines
Technology Resources
DPI Wiki
http://www.ncdpi.wikispaces.net/
http://maccss.ncdpi.wikispaces.net/home
CCSSM Resources
Common Core State Standards Live Binder:
http://www.livebinders.com/edit?id=133724
 Resources:
 21st Century Skills
 Common Core State Standards & Essential Standards
 Crosswalks
 Unpacking Documents
 Investigations & CCSSM
 Websites
Unpacking Document
Math Resources
Aegom Interactive Smartboard Lessons
www.aegom.com/
Video Resources
 Annenberg Media Videos & Resources
 http://www.learner.org/resources/ browse. html?discipline=6
 Discovery Education/United Streaming
 http://streaming.discoveryeducation.com/
Math Resources
 National Council of Teachers of Mathematics (NCTM)
www.nctm.org
http://illuminations.nctm.org/
 Teaching Children Mathematics
Magazines
Math Resources
 SMART Exchange
http://exchange.smarttech.com/index.html#tab=0
 netTrekker
http://school.nettrekker.com/authenticate/ipauth/1?np
=/home.ftl&pp=/ipauth_error.ftl
Common Core Resources
 ACRE: Common Core State and Essential Standards
http://www.ncpublicschools.org/acre/standards/
 ACRE: Instructional Support Tools
http://www.ncpublicschools.org/acre/standards/support-tools/
 Tools for the Common Core Standards
http://commoncoretools.wordpress.com/
 Illustrative Mathematics (CCSS Tools & Resources)
http://illustrativemathematics.org/standards
 Common Core Wiki (by Drew Polly)
http://elemath.pbworks.com/w/page/30621644/common-core
 National Council of Teachers of Mathematics
www.nctm.org
www.nctm.org/standards/mathcommoncore/
Math Resources
Revisiting the Parking Lot
Let’s address any
questions from
the parking lot…
Time to Reflect
Summary
THANK YOU!