building functions
TRANSCRIPT
![Page 1: Building Functions](https://reader031.vdocuments.site/reader031/viewer/2022012921/61c8e3a968427358cd238f5d/html5/thumbnails/1.jpg)
Building FunctionsThomas Duarte
@Thomasduarte13
High School Teacher
Anaheim, California
NBCT, NCTM Classroom Resources Committee
![Page 2: Building Functions](https://reader031.vdocuments.site/reader031/viewer/2022012921/61c8e3a968427358cd238f5d/html5/thumbnails/2.jpg)
Goal:
• Engage in rich tasks and identify the strategies used to support students.
![Page 3: Building Functions](https://reader031.vdocuments.site/reader031/viewer/2022012921/61c8e3a968427358cd238f5d/html5/thumbnails/3.jpg)
WODB.ca
& Number Talks
![Page 4: Building Functions](https://reader031.vdocuments.site/reader031/viewer/2022012921/61c8e3a968427358cd238f5d/html5/thumbnails/4.jpg)
![Page 5: Building Functions](https://reader031.vdocuments.site/reader031/viewer/2022012921/61c8e3a968427358cd238f5d/html5/thumbnails/5.jpg)
![Page 6: Building Functions](https://reader031.vdocuments.site/reader031/viewer/2022012921/61c8e3a968427358cd238f5d/html5/thumbnails/6.jpg)
What is a Function?
Function
![Page 7: Building Functions](https://reader031.vdocuments.site/reader031/viewer/2022012921/61c8e3a968427358cd238f5d/html5/thumbnails/7.jpg)
Task 2: NCTM Illuminations Lesson: Page 2 Find the area of trapezoids
• Find the area of the trapezoid using 3 different methods.• Method 1
• Method 2
• Method 3
• Then write a function for
Area of a Trapezoid• Method 4
![Page 8: Building Functions](https://reader031.vdocuments.site/reader031/viewer/2022012921/61c8e3a968427358cd238f5d/html5/thumbnails/8.jpg)
PtoA page 25
• “Visual representations are of particular importance in the mathematics classroom, helping students to advance their understanding of mathematical concepts and procedures, make sense of problems, and engage in mathematical discourse.”
(Arcavi 2003, Sylianou and Silver 2004)
![Page 9: Building Functions](https://reader031.vdocuments.site/reader031/viewer/2022012921/61c8e3a968427358cd238f5d/html5/thumbnails/9.jpg)
Task 3: Mars & Illuminations Page 3 Skeleton Tower
![Page 10: Building Functions](https://reader031.vdocuments.site/reader031/viewer/2022012921/61c8e3a968427358cd238f5d/html5/thumbnails/10.jpg)
Task 4: Everywhere on the internetPage 4 Painted Cubes Problem• Imagine that you are making a large cube out of small cubes. You
take that large cube and dip it in a bucket of paint. You take the large cube out of the paint, let it dry, and then break it apart, so you are looking at the small cubes. Some of the faces of the small cubes have paint on them and some of the faces do not.
![Page 11: Building Functions](https://reader031.vdocuments.site/reader031/viewer/2022012921/61c8e3a968427358cd238f5d/html5/thumbnails/11.jpg)
Ms. Meza
• Video model of task.
![Page 12: Building Functions](https://reader031.vdocuments.site/reader031/viewer/2022012921/61c8e3a968427358cd238f5d/html5/thumbnails/12.jpg)
![Page 13: Building Functions](https://reader031.vdocuments.site/reader031/viewer/2022012921/61c8e3a968427358cd238f5d/html5/thumbnails/13.jpg)
Comments: Please provide evidence
• This presentation• helped me
• reminded me
• annoyed me
• provided me
• I wish this presentation
![Page 14: Building Functions](https://reader031.vdocuments.site/reader031/viewer/2022012921/61c8e3a968427358cd238f5d/html5/thumbnails/14.jpg)