1. K-12 Fraction Fun! Jennifer Bell, @jkjohnsonbell Warm up: Show 3/8 as many ways as you can.

2. Goals and Expectations Goals: I can describe learning progressions for fractions. I can use visual models for fractions and fraction operations (addition, subtraction, multiplication and division). Expectations: Active Engagement Silence Technology

3. Fraction Standards Kindergarten: Divide shapes into equal numbers of a smaller shape. First Grade: Divide shapes into halves and fourths Second Grade: Divide shapes into equal shares and name the fraction

4. Third Grade: Explore equivalent fractions and simple computations with unit fractions Fourth Grade: Add and subtract fractions with like denominators Fifth Grade: Add, subtract, multiply, and divide fractions and mixed numbers with like and unlike denominators Fraction Standards

5. Mathematical Practices MP.1 Make sense of problems and persevere in solving them. MP.2 Reason abstractly and quantitatively. MP.3 Construct viable arguments and critique the reasoning of others. MP.4 Model with mathematics. MP.5 Use appropriate tools strategically. MP.6 Attend to precision. MP.7 Look for and make use of structure. MP.8 Look for and express regularity in repeated reasoning.

6. Research http://goo.gl/BQ9zJx OR http://www.cmu.edu/news/stories/archives/2012/june/j une15_mathsuccess.html http://www.cmu.edu/news/stories/archives/2012/june/j une15_mathsuccess.html Read the article and identify 4 As: Agree Argue Aha Aspire

7. Kindergarten Build a square. 1. Using 4 2. Using 4 3. Using 1 and 1

8. First Grade How many ways can you fold this shape into halves? How many ways can you fold this shape into fourths?

9. Second Grade Fold the rectangle into 2 equal shares. Fold the rectangle into 3 equal shares. Fold the rectangle into 4 equal shares.

10. Third Grade Vocabulary: Unit Fraction Fraction Bars Fractions on a Number Line Fraction Strips Equivalent Fractions

11. Third Grade What fractions are equivalent to ½?

12. Fourth Grade Use a model to calculate the following 1. 2. 3.

13. Fourth Grade Draw a model for the problem. Then solve. Stella ran ½ mile. Brian ran 7 times as far as Stella. How far did Brian run?

14. Fifth Grade Draw a model and solve:

15. Fifth Grade Draw a model and solve:

16. What next? Sixth grade: positive and negative numbers, proportions Seventh grade: positive and negative fractions Eighth grade: Algebra problems with positive and negative fractions High school: Algebra and Calculus problems with positive and negative fractions, including irrational fractions

17. Goals and Reflections Goals: I can describe learning progressions for fractions. I can use visual models for fractions and fraction operations (addition, subtraction, multiplication and division). Reflection: Tweet a fraction problem or learning progression idea from this session. #TMC15 #fractions Jennifer Bell (jennifer.bell@orecity.k12.or.us)jennifer.bell@orecity.k12.or.us Twitter: @jkjohnsonbell