1. Parent Introduction to Eureka Math
Hello parents- please use ‘Slide Show Mode’ to review this presentation. There are ‘notes’ on some slides if you are interested in more information.
Carolyn Kaiser, Instructional Coach
Sue Myette, Elementary Math Curriculum Specialist

2. Why Eureka?
Everyday Math fell out of alignment when WA adopted new standards.
Eureka is the only curriculum fully aligned with our standards
This is the first year of adoption of Eureka, K-5.

3. Why Eureka?
Eureka has a proven track record in boosting student achievement in math.
Of the 3 programs we field tested, Eureka was hands- down the most successful.
For students
For teachers
Note: the other 2 curricula we field tested (in ) included My Math and Math Expressions.

4. 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
We are not just teaching kids to do math. We are teaching them to think like mathematicians.

5. What do we mean by conceptual understanding?
Repeated addition
Concept of Product
Counting on
Concept of Sum
Counting activities lead to the concept of what a number is. Counting on leads to the conceptual understanding of what a sum is. Repeated addition leads to the understanding of what it means to talk about and find a product.
Counting
Concept of Number
(Boaler, 2016)

6. Why is conceptual understanding so important?
The brain can only compress concepts; it cannot compress rules and methods. (Thurston, 1990 )
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)
Successful math users search for patterns and relationships and think about connections.
(Boaler, 2016)
Compression is a process in the brain. New ideas take up lots of space. Compression happen through conceptual understanding of math; math is conceptual – concepts build on each other. Concepts are connected. Earlier ideas get compressed. It is hard for compression to take place with rules and procedures; the brain doesn’t see the patterns and connections.

7. Counting to add in kindergarten
How many? 8 6 2
= + 8 3 5
= + 6 2 8
+ = 3 5 8
+ =
Note: This series of 6 slides illustrates selected strategies and representations, and how they help students develop conceptual understanding.
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.

8. Making tens to add in 1st grade
9 + 6 = =
1 5
Number bond
1 5
Number bond
= 15
= 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

9. Compensating to subtract in 2nd grade=
231 – 200 = 31
+10
221
231
Compensation
Tape diagram
+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.

10. Using known facts to multiply in 3rd grade
8 x 9 =
(8 x 5) + (8 x 4) =
= 72
Array
8 x 5 = 40
8 x 4 = 32
8 x 9
8 x 5
8 x 4
Number bond
Concepts reinforced:
Multiplication involves making a number of equal groups.
Numbers can be decomposed and recomposed.
Distributive property of multiplication.

11. Decomposing to divide in 4th grade
ones
tens 2 4 r2
3 ) 7 4
Place value chart -6 1 4
-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.

12. Composing to add decimals in 5th grade
hundredths
tenths
ones
0.37
Place value chart 1 6 1
0.6 1
Concepts:
Adding involves putting parts together.
We add like units: hundredths & hundredths, tenths & tenths.
Combining 10 hundredths makes a new unit called a tenth.

13. 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)
Teachers may pick and choose among these components, like ordering a meal from a menu with the concept development serving as the main course of the lesson.

14. Counting and fluency Counting to 20 the “Say Tens” Way Happy Counting
Sprint
Gradually increasing complexity
Two rounds: focus is on improvement
The sprint examples are from 1st grade and 4th grade.

15. Concept development 7 x 12 =
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
Pictorial
(area model)
Note: the movement from concrete to pictorial to abstract often occurs across multiple lessons, although there is often a shift from pictorial to abstract within a lesson, too 12
x 7 84 1
Abstract
(standard algorithm)

16. Student debrief Students reflect on learning
Discuss thinking and strategies with classmates
Teacher clarifies any misconceptions
Reinforces conceptual understanding

17. 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
Counting: forward and backward. By 10, 100, 4, 8, 20, ¼, etc.
Look for the logic in your child’s thinking.
Shortcuts shortchange your child by lowering his or her chance to develop conceptual understanding!

18. Eureka materials from greatminds.org
See handout(s)

19. Homework videos from mathvillage.info

20. Good to Know YouTube Channel (K-2)
26 short (approx. 2-minute) videos that explain math concepts for Kinder to 2nd grade
URL:

21. Be mindful of your mindset
Introduce Jo Boaler as a Stanford professor and researcher on the teaching and learning of math. Show video only to 8:20 .If video doesn’t load, paste this into your browser: