Math 3

Math Three Critical Focus Areas
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Module A: 
Piecewise Functions

Students graph and analyze piecewise functions. They identify key features and interpret them in context. Students recognize absolute value functions as a type of piecewise function. They solve absolute value equations and inequalities algebraically and use them to solve problems.​

Module B: 
Exponential Functions & Inverse Functions 

​Students extend their understanding of exponential functions by building rules and rewriting the rates of change for contextual situations. They define logarithms and use them to solve exponential equations. Students identify inverse functions, describe their characteristics and write them for linear, exponential, and quadratic functions.

Module C: 
Polynomial Functions

Students extend their understanding of polynomial functions to include those with a degree of 3 or higher. They identify and interpret key features. They connect the zeros of the function to the graph. Students use multiple representations of polynomial functions to model and solve problems.​.

Module D: 
Modeling with Geometry

Students use geometry and algebra concepts to model and solve problems. Geometry concepts include perimeter, area, volume. Contextual situations include density, design and optimization.

Module E: 
Rational Functions

​Students are introduced to rational functions. They graph and identify key features. They operate with rational expressions building upon their understanding of operations with rational numbers. Students build and solve rational equations using tables, graphs, and algebraic reasoning.

Module F: 
Reasoning with Geometry

​Students prove properties of parallelograms. They analyze and apply relationships between angles, arcs, and line segments of a circle. Students use the relationships to solve problems. They understand the proportional relationships within circles to calculate arc length, area of a sector and radians.

Module G: 
Trigonometric Functions

​Students extend their understanding of the trigonometric ratios to build functions that model periodic change. They understand the relationships between the ratios and points on the circle. Students graph and interpret key features within context.

Module H: 
Statistics

​Students use statistical reasoning to draw conclusions. They distinguish between the different types of statistical studies. They understand the role of random sampling. Students use data from surveys or simulations to make inferences and draw conclusions.

Module I:
​Adavnced Reasoning with Functions

​Students extend their understanding of the different types of functions. Students solve non-linear systems of equations using graphs and tables.  They also apply transformations to build new functions.