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

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.

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 2016-17) included My Math and Math Expressions.

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.

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)

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.

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.

Making tens to add in 1st grade 9 + 6 = 59 + 6 = 1 5 Number bond 1 5 Number bond 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 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.

Using known facts to multiply in 3rd grade 8 x 9 = (8 x 5) + (8 x 4) = 40 + 32 = 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.

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.

Composing to add decimals in 5th grade hundredths tenths ones 0.37 + 0.24 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.

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.

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.

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)

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 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!

Eureka materials from greatminds.org See handout(s)

Homework videos from mathvillage.info

Good to Know YouTube Channel (K-2) 26 short (approx. 2-minute) videos that explain math concepts for Kinder to 2nd grade URL: https://www.youtube.com/playlist?list=PLkEiFS5w2pdklsmmFUp86QbES0AI4rAvX

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: https://www.youcubed.org/jos-tedx-talk/