The three Problems in this first Investigation engage students in collecting and analyzing patterns in experimental data and in number sequences. They provide experiences with both linear and nonlinear phenomena and lay the groundwork for using mathematical functions as models of patterns and physical phenomena. Students encounter relationships, some linear and some nonlinear, that describe the relationships between variables such as bridge length and breaking weight. These models allow students to make better-supported conjectures about what will happen in real situations.

Content
ACE
Materials
Resources
Problem 1.1

(1 day)

2, 7-8, 10-15, 35
  • Labsheet 1ACE: Exercise 14-17
  • Centimeter Grid Paper
  • two books of the same thickness
  • small paper cups
  • 50 pennies per group
  • 11×4 1/4 -inch strips of paper
  • chart paper and markers
  • Virtual Bridge Experiment
  • Data and Graphs
  • Coordinate Grapher
  • Launch Video
Problem 1.2

(1 day)

1, 9, 16-26, 33
  • Labsheet 1ACE: Exercises 14-17
  • Centimeter Grid Paper
  • two books of the same thickness
  • small paper cups
  • 50 pennies per group
  • chalk or tape
  • 4 1/4″ strips of paper with lengths 4, 6, 8, 9, and 11 inches
  • Chart paper and markers
  • Virtual Bridge Experiment
  • Data and Graphs
  • Coordinate Grapher
  • Teacher Connection Video (Explore)
  • Teacher Connection Video (Summarize)
Problem 1.3

(1 day)

3-6, 27-32, 34, 36
  • Labsheet 1.3a: Truss
  • Labsheet 1.3b: Steps
  • Centimeter Grid Paper
  • Chart paper and markers
  • Data and Graphs
  • Launch Video
Mathematical Reflections

(0.5 day)

Assessment: Check Up 1

(1 day)

  • Check Up 1
  • Assessments Answer Key