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TPACK
  • Technological (T): technology tools and digital resources available
  • Pedagogical (P): how students learn best and what instructional strategies are needed to meet their needs
  • Content Knowledge (CK): what's being taught and the knowledge of the subject

Technological Knowledge

Unit 5 (Functions and Volume)
  • Calculators to access 8th grade level content.
  • Graphing app to graph two quantities, interpret what the graph means, and see which quantity is a function of which.
  • Graphing app to compare two functions and their graphs: the volume of a cube and a sphere.
  • Graphing app to graph equations and see what the graph does overtime to determine if it's a function and if so, if it's a linear function.
  • Volume app to fill up a cylinder and see how the diameter, height, and volume are related to each other.
Unit 6 (Associations in Data)
  • Calculators to access 8th grade level content.
  • Graphing app to graph the height and arm/handspan data for me and all the students in their class period as a scatter plot and determine any associations between the two quantities and if one is a linear function of the other.
  • Multiple graph apps to experiment with drawing lines of best fit for scatter plot data.
End-of-Unit Research Journals
  • ​Students used search engines, tried different search keywords, and multiple result links to research and journal how the math we learned are used in their interests, hobbies, future aspirations, experiences, and everyday lives that weren't already given in their personalized problems.

​Pedagogical Knowledge

​In my classroom, students sat in groups and were able to collaborate with each other on their math problems personalized to them as individuals. Students were able to use calculators to access 8th grade level content. Students were given autonomy and engaged in inquiry learning through conducting their own research about how the math we learned is connected and related to real-life and the real-world not already given in their problems. By journaling about their findings, thoughts, feelings, and conclusions, students were reflecting about their understanding and learning. 

Content Knowledge

Unit 5: Functions and Volume
  • Lesson 1: Inputs and Outputs
  • Lesson 2: Introduction to Functions
  • Lesson 3: Equations for Functions
  • Lesson 4: Tables, Equations, and Graphs
  • Lesson 7: Connecting Representations
  • Lesson 8: Linear Functions
  • Lesson 11: Filling Containers
  • Lesson 12: How Much Will Fit?
  • Lesson 13: The Volume of a Cylinder
  • Lesson 15: The Volume of a Cone
  • Lesson 20: The Volume of a Sphere
  • Lesson 21: Cylinders, Cones, and Spheres
Unit 6: Associations in Data
  • Lesson 1: Organizing Data
  • Lesson 2: Plotting Data
  • Lesson 3: What a Point in a Scatter Plot Means
  • Lesson 4: Fitting a Line to Data
  • Lesson 5: Describing Trends in Scatter Plots
  • Lesson 6: The Slope of a Fitted Line
  • Lesson 7: Observing More Patterns in Scatter Plots
  • Lesson 8: Analyzing Bivariate Data
  • Lesson 9: Looking for Associations
  • Lesson 10: Using Data Displays to Find Associations
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Common Core
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21st Century Skills
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Mathematical Practices