This web site is intended to provide students with practice problems for each skill
needed to be successful in each course, along with examples and short tutorials. Links to additional web resources will also be provided.
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The site is assembled using proven classroom resources submitted by teachers in Massachusetts.
Teachers will find resources for the Common Core State Standards and the Standards For Mathematical Practice.
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Resources for understanding the Standards For Mathematical Practice, parent will come to realize that the way their children experience math should be much different than the way they were taught.
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The Common Core Standards for Mathematics define the conceptual cateogies which are used to drive the content for the Integrated Mathematics III course. The Common Core Standards do not dictate specific course requirements nor a specific sequence of courses, but they do provide models which can be adopted by states; most states develop model courses from the common core course models. The units that are listed in this Integrated Mathematics III course are derived from the state model from Massachusetts and the sequence summarized from many Integrated Mathematics III textbooks.
Integrated Mathematics III Common Core Map Overview
Number and Quantity
The Complex Number Systems
Use complex numbers in polynomial identities and equations.
Algebra
Seeing Structure in Expressions
Interpret the structure of expressions.
Write expressions in equivalent forms to solve problems.
Arithmetic with Polynomials and Rational Expressions
Perform arithmetic operations on polynomials.
Understand the relationship between zeros and factors of polynomials.
Use polynomial identities to solve problems
Rewrite rational expressions.
Creating Equations
Create equations that describe numbers or relationships.
Reasoning with Equations and Inequalities
Understand solving equations as a process of reasoning and explain the reasoning.
Represent and solve equations and inequalities graphically.
Functions
Interpreting Functions
Interpret functions that arise in applications in terms of the context.
Analyze functions using different representations.
Building Functions
Build a function that models a relationship between two quantities.
Build new functions from existing functions.
Linear, Quadratic, and Exponential Models
Construct and compare linear, quadratic, and exponential models and solve problems.
Trigonometric Functions
Extend the domain of trigonometric functions using the unit circle.
Model periodic phenomena with trigonometric functions.
Geometry
Similarity, Right Triangles, and Trigonometry
Apply trigonometry to general triangles.
Geometric Measurement and Dimension
Visualize relationships between two-dimensional and three-dimensional objects.
Modeling with Geometry
Apply geometric concepts in modeling situations.
Statistics and Probability
Interpreting Categorical and Quantitative Data
Summarize, represent, and interpret data on a single count or measurement variable.
Making Inferences and Justifying Conclusions
Understand and evaluate random processes underlying statistical experiments.
Make inferences and justify conclusions from sample surveys, experiments, and observational studies.
Using Probability to Make Decisions
Use probability to evaluate outcomes of decisions.
Standards For Mathematical Practice
Make sense of problems and persevere in solving them.
Reason abstractly and quantitatively.
Construct viable arguments and critique the reasoning of others.
Model with mathematics.
Use appropriate tools strategically.
Attend to precision.
Look for and make use of structure.
Look for and express regularity in repeated reasoning.
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