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Moving to CCSS math
standards and practices
Supporting our students in math at home
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Welcome
n  CCSS
K-12 Math Practices Overview
n  CCSS
Math Content Standards
n  Helping
n  Q
&A
students at home
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CCSS K-12 Math Practices
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MP1: Make sense of problems and persevere in solving them
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MP2: Reason abstractly and quantitatively
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MP3: Construct viable arguments and critique the reasoning
of others
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MP4: Model with mathematics
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MP5: Use appropriate tools strategically
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MP6: Attend to precision
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MP7: Look for and make use of structure
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MP8: Look for and express regularity in repeated reasoning
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What does a modern math
class looks like?
n  https://www.teachingchannel.org/
videos/persist-through-challengesperts
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CCSS Math Content Standards
n  Counting
and Cardinality
n  Operations
and Algebraic Thinking
n  Number
and Operations in Base Ten
n  Number
and Operations - Fractions
n  Measurement
n  Geometry
and Data
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Counting and Cardinality K-2
n  Students
should be able to count 1:1
n  The
last number counted is how many
are in a group.
n  Know
numbers to 100 (K), 120 (1),
1000 (2) starting at any number,
forward and backward
n  Skip
counting 2, 5, 10
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Counting and Cardinality K-2
n  Questions
n How
to promote counting
many....?
n What is 1 more/less? 10 more/less? 100
more/less?
n What's the next 5 numbers starting at ___?
n Skip count by 2, 5, or 10 to 100.
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Numbers and Operations:
Addition and Subtraction
n Number
bonds
4 2 +
n Single
4 2 3 +
4 1 digit addition
2+2=4
3+1=4
4+0=4
0 +
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Numbers and Operations:
Addition
n  Addition
strategies
n  Counting
on 0, 1, 2
n  Doubles, Doubles +1
n  5 + facts
n  Making 10 (equivalent facts)
n  Turn around facts
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Addition Strategies:
Doubles, Doubles +1
4+4=8
4 + 5 = (4 + 4) + 1 = 9
4 + 6= (4 + 4 )+ 2 = 10
Doubles = you are adding the same number twice
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Addition Strategies:
5+ facts
5 + 8=
5 + 8= (5 + 5) + 3 =
5 + 8= 10 + 3 = 13
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Addition Strategies:
Making 10
6+9=
6 + 9 = (6 + 4) + 5 =
6 + 9 = 10 + 5 = 15
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Addition Strategies:
Turn around facts
3+5=8
5+3=8
3+5=5+3
8=8
The numbers added are flipped, but the number sentences stays the same
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Single digit 0 – 10 facts
https://www.eduplace.com/math/mw/background/2/01/te_2_01_overview.html
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Addition facts to 20
n  Compensating
n  Expanded
form
n  Benchmark
numbers
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Addition Strategies:
Compensation
16 + 9 =
16 + 9 = (16 + 4) + 5 =
16 + 9 = 20 + 5 = 25
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Addition Strategies:
Expanded Form
16 + 9 =
16 + 9 = (10 + 6) + 9 =
16 + 9 = 10 + 15 = 25
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Addition Strategies:
Benchmark numbers
16 + 9 =
9 +1= 10 Make a number I can add easily
16 + 10 = 26
16 + 9 = 26 – 1 = 25
I have to take out what I added in
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Numbers and Operations:
Subtraction
n  Subtraction
strategies
n  Subtracting
0, 1, 2
n  Using addition
n 
Doubles
n  Fact
families
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Subtraction Strategies:
Using Addition
8-3=?
3+5=8
8-4=?
4+4=8
?=5
?=4
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Subtraction Strategies:
Fact Families
3 + 7 = 10
7 + 3 = 10
10 - 3 = 7
10 - 7 = 3
10
7
3
Fact Families: The numbers are all related
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Numbers and Operations:
Addition and Subtraction
n  Multi-digit
n  Use
addition and subtraction
place value charts and unit cubes
n  Making trades (regrouping)
n  Draw vertical lines to mark place value.
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Multi-digit addition: 26 + 13
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Multi-digit addition:
26 + 13 =
26 + 13 = 20 + 6 +10 + 3 =
30 + 9 = 39
Expanded Form
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Multi-digit addition: 26 + 27
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Multi-digit subtraction: 63 - 27
63 – 27 = 35
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Numbers and Operations:
Multiplication and Division
n  Arrays
n  Math
facts (0-10)
n  Area
Model
n  Partial
products
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Numbers and Operations:
Multiplication and Division
n  Repeated
addition/subtraction
n  Arrays
5 + 5 + 5 = 15
3 + 3 + 3 + 3 + 3 = 15
5 x 3 = 15
3 x 5 = 15
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Numbers and Operations:
Multiplication and Division
n  Multiplication
facts (1-10: 100 facts)
n  1, 2, 5, 10
(64 facts) – skip counting
n  3, 4 (20 facts) – repeated addition
n  9 (7 facts) – patterns
n  6, 7, 8 (9 facts) – distributive property
n 
Fact families
n  Using
Multiplication facts table for
Division
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Numbers and Operations:
Multiplication and Division
n  Distributive
property using 2, 3, 5
facts
6x8
6 x (5 + 3)
6 x 8 = 30 + 18
6 x 8 = 48
6 x 5 = 30
6 x 3 = 18
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Building a Multiplication Table
x 1 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 2 2 4 6 8 10 12 14 16 18 20 3 3 6 9 12 15 18 21 24 27 28 30 4 4 8 12 16 20 24 28 32 36 40 5 5 10 15 20 25 30 35 40 45 50 6 6 12 18 24 30 36 42 48 54 60 7 7 14 21 28 27 35 42 49 56 63 70 8 8 16 24 32 40 48 56 64 72 80 9 9 18 27 28 36 45 54 63 72 81 90 10 10 20 30 40 50 60 70 80 90 100 +
Numbers and Operations:
Multiplication and Division
n  Fact
families
n  Using
Multiplication facts table for
Division
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Numbers and Operations:
Multiplication
n  Area
Model using base 10 blocks
7 x 15
http://media.pearsoncmg.com/curriculum/math/Tools/CAindex.html
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Numbers and Operations:
Multiplication
n  Area
n  15
Model using generic rectangle
x7
10
7
n  70
70
+ 35 = 105
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5
35
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Numbers and Operations:
Multiplication
n  Area
Model
20
10
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5
n 
200
100
15 x 24
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4
40
20
200+100+40+20 = 360
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Numbers and Operations:
Multiplication
n  Partial
Products/Partial Quotients
15
x7
35 (think…7 x 5)
+ 70 (think… 7 x
10)
105
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Numbers and Operations:
Multiplication
n  Partial
Products/Partial Quotients
15
x 24
20 (think…4 x 5)
40 (think…4 x 10)
100 (think…20 x 5)
+200 (think…20 x 10)
360
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Numbers and Operations:
Multiplication
n  Partial
Quotients: 360÷15 =
24
15 360
- 150 10
210
- 150 10
60
-60 + 4
0 24
.
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Introduction to Fractions
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Fraction Progression
n  Parts
of shapes
n  Fractions
as numbers
n  Equivalent
n  Fractions
fractions
and operations
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Fraction Foundations
n  Making
n  Unit
Equal Parts
Fractions
n  Part: Whole
n  Fractional
of a set
Part
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Fraction Progression: Fractions
on the Number Line
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Comparing/Equivalent Fractions
n  modeling
with fraction strips and
number lines
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Fractions and Operations
n  Adding
using bar models
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Fractions and Operations
n  Adding
and Subtracting on the
Number line
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Geometry
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Home School Connections: K-2
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Topic letters K-2
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Home School
Connections
Topic letters K-5
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Possible
homework
Reteching page
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Possible
Homework
Practice page
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Logging on to
Pearson Realize
Access to student e-text
Access to practice pages
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Pearson Realize: Student View
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Pearson Realize: Programs
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Pearson Realize: Classes
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Other Support
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Math websites and apps list
n 
San Juan Common Core math website
n  www.sanjuan.edu
n  Academics
n 
> Common Core > Math
California Department of Education Math Chapters
Framework
n  http://www.cde.ca.gov/ci/ma/cf/
draft2mathfwchapters.asp
n 
CCSS Resources for Parents and Guardians Page
n  http://www.cde.ca.gov/re/cc/ccssresourcesparents.asp n 
California State PTA
n  http://capta.org/focus-areas/education/common-core/