1 / 17

Session 2 Looking Back: Grade 8 Functions in the CCSSM

Session 2 Looking Back: Grade 8 Functions in the CCSSM. Common Core High School Mathematics: Transforming Instructional Practice for a New Era. 2 . 1. Agenda. Homework review and discussion What is a function? Reading MP4 and MP6 Graphing a story Break Temperature conversions

feo
Download Presentation

Session 2 Looking Back: Grade 8 Functions in the CCSSM

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Session 2 Looking Back: Grade 8 Functions in the CCSSM Common Core High School Mathematics: Transforming Instructional Practice for a New Era 2.1

  2. Agenda • Homework review and discussion • What is a function? • Reading MP4 and MP6 • Graphing a story • Break • Temperature conversions • Reading 8.F.1-5 • Homework and closing remarks 2.2

  3. Homework Review and Discussion Activity 1: • Table Discussion: • Discuss your write up for the day 1 math task Bernardo and Sylvia Play a Game: • Compare your strategies with others at your table. • Reflect on how you might revise your own solution and/or presentation. 2.3

  4. Learning Intentions & Success Criteria Learning Intentions: We are learning to deepen our understanding of the Common Core State Standards and the implications for teaching and learning mathematics. Success Criteria: We will be successful when we can describe how the content standards and math practice standards are evident in the implementation of a mathematical task.

  5. What is a Function? Activity 2: • Individually, write a definition of “function” on a piece of paper. • As a table group, compare and discuss your definitions. • How does your concept of “function” differ from that of: • expression • equation 2.5

  6. What is a Function? Activity 2: “A function f from a set A to a set B is a rule which associates with each element of the set A one and only one element of the set B.” • How does this “official” definition compare to the definitions at your table? (Notation: we write f : A B) 2.6

  7. What is a Function? Activity 2: • With your shoulder partner, discuss the examples on the “Function or not?” handout. • Compare your answers with others at your table. 2.7

  8. Graphing a Story Activity 3: Sketch a graph that reflects all the information given in this story: “It was a dark and stormy night. Before the torrents of rain came, the bucket was empty. The rain subsided at daybreak. The bucket remained untouched through the morning until Old Dog Trey arrived as thirsty as a dog. The sun shone brightly through the afternoon. Then Billy, the kid next door, arrived. He noticed two plugs in the side of the bucket. One of them was about a quarter of the way up, and the second one was near the bottom. As fast as you could blink an eye, he pulled out the plugs and ran away.” 1.8

  9. Reading MP4 and MP6 Activity 4: • Read the Standard for Mathematical Practice. • MP4. Model with mathematics. • Turn and talk: how did you see this practice standard in the activities you have just completed? 2.9

  10. Reading MP4 and MP6 Activity 4: • Read the Standard for Mathematical Practice. • MP6. Attend to precision. • Turn and talk: how did you see this practice standard in the activities you have just completed? 2.10

  11. Break

  12. Temperature Conversions Activity 5: • The graph of Fahrenheit temperature, OF, as a function of Centigrade temperature, OC, is a straight line. Water boils at a temperature of 212 OF, which corresponds to 100 OC, and freezes at 32 OF, which corresponds to 0 OC. • Without graphing or using a formula (no calculator): • What Fahrenheit temperature corresponds to 50 OC? • What Centigrade temperature corresponds to 92 OF? 2.12

  13. Temperature Conversions Activity 5: • Sketch a graph of Fahrenheit temperature as a function of Centigrade temperature. • What is the rate of change of Fahrenheit temperature with respect to Centigrade temperature? • Write an equation that can be used to calculate the Fahrenheit temperature for any given Centigrade temperature. • Are the Fahrenheit and Centigrade temperatures ever equal? 2.13

  14. Temperature Conversions Activity 5: • How did you see MP4 and MP6 in this activity? • MP4. Model with mathematics. • MP6. Attend to precision. 2.14

  15. Reading 8.F.1-5 Activity 6: • Read these content standards from the Grade 8 Functions domain. • Turn and talk: how did you see these content standards in the activities you have completed today? 2.15

  16. Learning Intentions & Success Criteria Learning Intentions: We are learning to deepen our understanding of the Common Core State Standards and the implications for teaching and learning mathematics. Success Criteria: We will be successful when we can describe how the content standards and math practice standards are evident in the implementation of a mathematical task.

  17. Homework and Closing Remarks Activity 7: • Homework (to be included in journal): • Day 2 Math Task: Function Rules • Day 2 Class Reflection • Reading • The Function Concept, Big Idea 1: The concept of function is broad and flexible 2.17

More Related