1: Number, Number Sense and Operations
1.A: Demonstrate that vectors and matrices are systems having some of the same properties of the real number system.
Vectors
1.B: Develop an understanding of properties of and representations for addition and multiplication of vectors and matrices.
Vectors
2: Measurement
2.A: Explain differences among accuracy, precision and error, and describe how each of those can affect solutions in measurement situations.
Triple Beam Balance
2.B: Apply various measurement scales to describe phenomena and solve problems.
Dilations
Similar Figures - Activity A
Similar Polygons
2.C: Estimate and compute areas and volume in increasingly complex problem situations.
Perimeter, Circumference, and Area - Activity B
Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A
2.D: Solve problem situations involving derived measurements; e.g., density, acceleration.
Density Experiment: Slice and Dice
Density Laboratory
Determining Density via Water Displacement
3: Geometry and Spatial Sense
3.B: Represent transformations within a coordinate system using vectors and matrices.
Rotations, Reflections and Translations
Translations
4: Patterns, Functions and Algebra
4.A: Analyze functions by investigating rates of change, intercepts, zeros, asymptotes, and local and global behavior.
Linear Functions
Polynomials and Linear Factors
4.B: Use the quadratic formula to solve quadratic equations that have complex roots.
Roots of a Quadratic
4.C: Use recursive functions to model and solve problems; e.g., home mortgages, annuities.
Arithmetic Sequences
Arithmetic and Geometric Sequences
Exponential Growth and Decay - Activity B
Geometric Sequences
4.D: Apply algebraic methods to represent and generalize problem situations involving vectors and matrices.
Vectors
5: Data Analysis and Probability
5.B: Use descriptive statistics to analyze and summarize data, including measures of center, dispersion, correlation and variability.
Correlation
Line Plots
Mean, Median and Mode
5.C: Design and perform a statistical experiment, simulation or study; collect and interpret data; and use descriptive statistics to communicate and support predictions and conclusions.
Correlation
Probability Simulations
5.D: Connect statistical techniques to applications in workplace and consumer situations.
Percent of Change
Correlation last revised: 11/13/2008