.
Level 1 | Level 2 | Level 3 | Level 4 | Level 5 | Level 6
Objectives
and Content - Level 1
Reflect on This (reflections
in lines)
In this module, students will:
- use paper-folding to model reflections in a line
- use congruent, complementary, and supplementary angle relationships to make conjectures
- use congruent segments and the shortest distance between two points to make conjectures about the paths traveled by light rays
- examine the perpendicular bisector relationships created by reflections
- explore the relationships between the coordinates of a point and the coordinates of its image under a reflection in the x- or y-axis
- examine the relationship between
theorems and conjectures
So You Want to Buy a Car
(data organization and spreadsheet use)
In this module, students will:
- develop an understanding of simple spreadsheet functions
- use a spreadsheet to organize data using tables and graphs
- use a spreadsheet to interpret the relationship between paired sets of data
- use a spreadsheet to create histograms and scatterplots
- interpret histograms and scatterplots
- recognize positive and negative associations within scatterplots
- determine percent increase and
percent decrease
Yesterday's Food is Walking
and Talking Today
(linear equations)
In this module, students will:
- use a graphing utility to display data
- analyze scatterplots and line graphs
- examine ratio as a measure of slope
- examine slope as a rate
- examine the slopes of parallel lines
- write a linear equation given the slope and the y- intercept
- write a linear equation given two data points
- identify the domain and range of a linear relation
- graphically solve systems of linear equations
- solve linear equations for y
in terms of x.
A New Look at Boxing (areas,
tessellations, and nets of solids)
In this module, students will:
- determine nets for three-dimensional solids
- use nets to find the surface area of solids
- tessellate polygons
- find the area of regular polygons
- calculate the waste created by
a template and a shape that
encloses it
What Will We Do When the
Well Runs Dry?
(volumes and linear models of data)
In this module, students will:
- determine the volumes of triangular, rectangular, and trapezoidal prisms
- estimate and calculate the volumes of three-dimensional solids
- investigate the relationships among cubic centimeters, cubic decimeters, and liters
- construct and interpret graphs
- develop and use linear models
- determine rates of change using slope
- convert rates to different units
- examine residuals and use them
to evaluate models
Skeeters Are Overrunning the World (exponential
growth)
In this module, students will:
- develop and use a mathematical model for population growth
- determine the growth rate of a population
- graph and interpret an exponential
function in the form y=abx
Oil: Black Gold (areas,
volumes, direct and inverse proportions)
In this module, students will:
- determine the area of irregularly-shaped figures
- determine the volume of cylinders and prisms
- develop and graph direct and inverse proportions
- develop mathematical models of real-world events
- use mathematical models to make
prediction about data sets
I'm Not So Sure Anymore
(probability)
In this module, students will:
- use a variety of methods for simulation
- determine experimental probability
- calculate theoretical probability
- find that the sum of the probabilities for all outcomes of an experiment is 1
- identify and extend data patterns
- calculate expected value
Are You Just a Small Giant?
(similarity)
In this module, students will:
- model growth using similarity
- identify and use relationships among scale factor, length, area, and volume of similar objects
- explore how area changes as objects change size proportionally
- examine how volume changes as objects change size proportionally
- use relationships among mass, density, weight, and pressure to describe proportional size changes
- examine how the values of a
and b affect graphs of power equations of the form y=axb
AIDS: The Preventable Epidemic
(exponential equations, Venn diagrams
and probability)
In this module, students will:
- collect and analyze data
- model the spread of disease using exponential equations
- use Venn diagrams to organize data and determine probabilities
- use the fundamental counting principle to determine the number of elements in a sample space
- use tree diagrams to determine
sample spaces and calculate probabilities
Going in Circuits (fundamental
counting principle)
In this module, students will:
- use tree diagrams to organize information and solve problems
- use the fundamental counting principle
- use factorial notation
- solve problems involving Hamiltonian circuits
- develop algorithms for solving
problems
One Step Beyond (inequalities
and step functions)
In this module, students will:
- represent compound inequalities on a number line
- represent compound inequalities algebraically
- use interval notation to represent inequalities
- graph and interpret step functions
- use the greatest integer function
to write equations of step functions
From Rock Band to Recursion
(sequences and series)
In this module, students will:
- analyze number patterns
- develop arithmetic and geometric sequences
- compare linear equations and explicit formulas for arithmetic sequences
- compare the graphs of linear equations and arithmetic sequences
- compare exponential equations and explicit formulas for geometric sequences
- compare the graphs of exponential equations and geometric sequences
- compare the graphs of arithmetic and geometric sequences
- evaluate series
Under the Big Top but Above
the Floor
(inequalities and linear programming)
In this module, students will:
- graph linear inequalities
- solve systems of linear equations
- use linear inequalities to define regions graphically
- determine optimum values for
linear objective equations
Digging into 3-D (three
dimensional graphing)
In this module, students will:
- model a three-dimensional coordinate system
- graph in a three-dimensional coordinate system
- draw surface plots
- describe three-dimensional objects using correct mathematical language
