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PARENT INTRODUCTION
TO EUREKA MATH
Carolyn Kaiser, Instructional Coach
Why Eureka?


Everyday Math fell
out of alignment
when WA adopted
new standards.
Eureka is the only
curriculum fully
aligned with our
standards
Why Eureka?


Eureka has a proven track
record in boosting student
achievement in math.
Of the 3 programs we field
tested, Eureka was handsdown the most successful.
 For
students
 For
teachers
Why is Eureka so different?

The Eureka curriculum helps
build students’ conceptual
understanding of math.
Past: Calculate by following
a sequence of steps.
 Eureka:

Think flexibly about numbers
 Understand why the steps work
 Know when to apply them
 Know how to use other
strategies when more efficient

What do we mean by conceptual
understanding?
Repeated
addition
Counting on
Counting
Concept of
Product
Concept of
Sum
Concept of
Number
(Boaler, 2016)
Why is conceptual understanding so
important?
The brain can only compress
concepts; it cannot compress rules
and methods.
(Thurston, 1990 )
Successful math
users search for
patterns and
relationships
and think about
connections.
(Boaler, 2016)
Experts see
meaningful patterns
of information and
use them to
organize their
knowledge in ways
that reflect a deep
understanding of
their subject matter.
(Bransford et al., 1999)
Counting to add in kindergarten
How
many?

8
=
6
+
2
8
=
3
+
5
6
+
2
=
8
3
+
5
=
8
This reinforces several concepts, including:
The total is the last number we say when we count all.
 There is more than one way to count a group.
 Adding means putting parts together.
 The equal sign shows that both sides have the same value.

Making tens to add in
9+6=
st
1
grade
59 + 6 =
Number bond
Number bond
1 5
1 5
10 + 5 = 15
60 + 5 = 65

Making Ten to Add reinforces concepts that include:
 Numbers
can be decomposed and recomposed.
 We can combine 10 ones make a new unit called a ten.
 Associative property of addition: 9 + (1 + 5) = (9 + 1) + 5
Compensating to subtract in 2nd grade
221 - 190 = 231 – 200 = 31
+10
221 231
Tape diagram
Compensation
+10

190
200
?
Compensation reinforces several concepts, including:.
 Finding
the difference involves making a comparison.
 Adjusting the two numbers in the same amount does not
change the difference between them.
Using known facts to multiply in 3rd
grade
8 x 9 = (8 x 5) + (8 x 4) = 40 + 32 = 72
Array
8x9
8 x 5 = 40
8 x 4 = 32

8x5
Number
bond
8x4
Concepts reinforced:
 Multiplication
involves making a number of equal groups.
 Numbers can be decomposed and recomposed.
 Distributive property of multiplication.
Decomposing to divide in
tens
Place value
chart

ones
th
4
grade
2 4 r2
3)74
-6
14
-1 2
2
This reinforces concepts that include:
 Dividing
involves breaking a whole into equal groups.
 We break apart each unit separately.
 Decomposing leftover tens makes 10 ones to keep dividing.
Composing to add decimals in 5th
grade
ones
tenths
hundredths
0.37
Place value
chart
+ 0.24
6

1
1
0.61
Concepts:
 Adding
involves putting parts together.
 We add like units: hundredths & hundredths, tenths & tenths.
 Combining 10 hundredths makes a new unit called a tenth.
Typical Eureka Lesson Components
1) Fluency Practice (10 minutes)
2) Application Problem (10 minutes)
3) Concept Development (20 minutes)
4) Problem Set (10 minutes)
5) Student Debrief (7 minutes)
6) Exit ticket (3 minutes)
7) Homework (optional)
Counting and fluency



Counting to 20 the
“Say Tens” Way
Happy Counting
Sprint
 Gradually
increasing
complexity
 Two rounds: focus is
on improvement
Concept development

Presents new content,
building on the prior
lesson
Carefully sequenced
problems with gradually
increasing complexity
 Moves from concrete to
pictorial to abstract
representations
 Includes 10 minutes for
work on problem set
7 x 12 =
Concrete
(base 10 blocks)

7
10
2
70
14
12
x 7
1
84
Pictorial
(area model)
Abstract
(standard algorithm)
Student debrief




Students reflect on learning
Discuss thinking and
strategies with classmates
Teacher clarifies any
misconceptions
Reinforces conceptual
understanding
How Can You Help?




Practice counting with
your child
Ask your children about
what they’re learning
Shy away from shortcuts
Access online resources to
support your child
 greatminds.org
 mathvillage.info
Eureka materials from greatminds.org
Homework videos from mathvillage.info
Good to Know YouTube Channel (K-2)
Be mindful of your mindset