1. Numbers and Operations /Fractions Today we will look at the content standards from Numbers and Operations /Fractions. Our work today focuses on: *Highlighting the BIG IDEAS in the 4 th grade content standards *Linking these BIG IDEAS with the Math Practice Standards *Examining how Investigations lessons fully support the Common Core State Standards for 4 th grade

2. Task 2/3 of an apple is used to make an apple pie. We need to make 9 apple pies. How many apples do we need? Be sure to include an equation and visual representation to match your solution!

3. Fact: Fraction concepts are difficult Fact: Our students (and many adults) struggle with fraction concepts. Fact: What we have been doing isn ’ t working Fact: The Common Core is grounded in research about how students come to understand fraction concepts.

4. Fraction work begins in 1 st grade The foundation for a child’s conceptual understanding of fractions begins with partitioning and sharing. Fractions are a part of our everyday lives. Students need practice partitioning unmarked regions

5. Pre-partitioned regions lead to a common misconception

6. In K-2 Common Core fraction work…. Students are … Partitioning (splitting) a region (circle, rectangle, square) into 2, 3 or 4 equal regions Communication about processes, content, vocabulary words. Students use to but are NOT …… Sharing equally Working with sets or multiple objects Writing fractions and fraction bars Learning “ numerator ” and “ denominator ”

7. Partitioning K-2: Regions 3: Regions and Number lines 4:Strengthen Number lines, regions beginning 5: Number lines

8. Task Solve the school carnival tasks at your table. Represent your solutions on a number line and model each with an equation. The water balloon both has ¾ of a gallon left. They need to fill 5 balloons. How much water should they use for each balloon? Amy is serving strawberry ice cream. Each scoop contains ¼ of a cup. By the end of her first shift, she has scooped out 4 servings. How much ice cream has she served? Glow sticks are a popular carnival prize. A box of glow sticks weighs ¼ of a pound. If I am carrying 7 pounds, how many boxes am I carrying?

9. As a group, look through your Common Core State Standards: 4.NF.1-4.NF.7 Locate the BIG IDEAS (main concepts, most important) and list them on your poster.

10. 15 Minute Break Please come back in a timely fashion!

11. Game Time! Tossing Fraction Tiles *Concept addressed 4.NF.3 A.Understand addition and subtraction fractions as joining and separating parts referring to the same whole. B.Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation.

12. MATH REASONING! https://mathreasoninginventory.com/ https://mathreasoninginventory.com/Pdfs/InterviewScreensFractions.pdf

13. MATH REASONING! https://mathreasoninginventory.com/ https://mathreasoninginventory.com/Pdfs/InterviewScreensFractions.pdf Roles: 1 teacher 1 student

14. MATH REASONING! https://mathreasoninginventory.com/ https://mathreasoninginventory.com/Pdfs/InterviewScreensFractions.pdf Roles: 1 teacher 1 student

15. Now, let’s look at our CMS students and how they reason mathematically! MATH REASONING!