| Lessons |
Lesson
Summary
|
|
| Alg
5.0 Beginning Rates of Change
|
Students
examine rates of change using graphs, numeric tables, written
stories, and equations all relating distance and time. They
use these tools interchangeably to find the change rates.
|
| Alg
5.0b Story Contexts: Fractions, Rates, Unit Rates |
Students
create story contexts for using a fraction as a 1) fraction,
2) rate, 3) unit rate |
| Alg
5.1a Stairs and Slopes
PDF
Alg 5.1a 4 Problems: Tables, Graphs, Stories, Equations
PDF
Alg
5.1b Tables, Graphs Stories, Equations
Alg
5.1c Rate of Change
Alg
5.1d Slope
from Data Tables
|
Students
build stairs from poster board, record their stairs on a coordinate
grid, analyze the data about rise and run measurements, predict
slope steepness using ratios, and graph and compare the slopes
of the different stairs. If desired, they move on to examining
the slope intercept form of line. |
Alg 5.2a Examine y = mx+b using a graphing calculator
PDF
Alg
5.2 Zooming in on Linear Equations
PDF
|
Students
program different equations into calculators and/or computers,
analyze the patterns, develop the slope intercept form of
a linear equation, and write equations to match lines. |
| Alg
5.2b Reasoning About Linear Equations PDF |
Students
examine the attributes of a variety of linear equations, different
slopes and y intercepts. |
Alg
5.3 Stacking Cubes, Rate of Change
PDF
|
Students
explore patterns in stacking cubes,predict the number of cubes
in the 10th stage, and find equations and rates of change
in the growth pattern. |
Alg
5.4 Racing Cars and Rates of Change
PDF
|
Students
examine the rates of speed of animated cars or toys. By examining
the graphs they connect rates of change with slope. They also
use CBRs to duplicate given rates of change related to time.
|
Alg
5.5 Four Tracking Change Examples
PDF
|
This
lesson includes several activities in which students must
collect and organize data and create graphs to communicate
information about the given circumstances. |
Alg
5.6 Five Linear Equation Stories
PDF
|
Students
investigate different real life linear growth problems. They
collect data, create graphs, analyze and answer questions
about the data and graphs. The activities could be assigned
to different groups. |
Alg
5.7 Six Linear Function Performance Assessments
PDF
|
Several
linear growth problems are provided in which students must
analyze data, create graphs, use equations, all related to
linear growth. |
Alg
5.8 Fractal Functions
PDF
|
Students
build fractals and track and analyze the growth of fractal
measurements using tables and equations. |
Alg
5.9 Barbie Bungee Jump
PDF
|
Students
create a mathematical model (equation) relating the distance
a doll will fall and the number of rubber bands making up
the bungee cord. Students use the model to determine the number
of rubber bands needed for specific bungee drop heights. |
