Content for Year 1
From Algebra
• Using variables and algebraic expressions to
—represent concrete situations
—generalize results
—describe functions
• Using different representations of functions—symbolic, graphical, situational, and numerical—and understanding the connections between these representations
• Understanding and using function notation
• Understanding, modeling, and computing with signed numbers
• Solving equations using trial and error
• Interpreting graphs and using graphs to represent situations
• Relating graphs to their equations, with emphasis on linear relationships
• Solving pairs of linear equations by graphing
• Fitting equations to data, both with and without graphing calculators
From Geometry
• Understanding the meaning of angles and their measurement
• Developing relationships among angles of polygons, including angle sum formulas
• Defining similarity and congruence
• Developing criteria for establishing similarity and congruence
• Using properties of similar polygons to solve real-world problems
From Trigonometry
• Using similarity to define right-triangle trigonometric functions
• Applying right-triangle trigonometry to real-world problems
From Probability and Statistics
• Developing basic methods for calculating probabilities
• Constructing area models and tree diagrams to represent probabilistic situations
• Distinguishing between theoretical and experimental probabilities
• Planning and carrying out simulations in order to estimate probabilities
• Collecting and analyzing data
• Constructing frequency bar graphs
• Understanding, calculating, and interpreting expected value
• Applying the concept of expected value to real-world decision making
• Learning about normal distributions and properties of the normal curve
• Calculating mean and standard deviation
• Using normal distribution, mean, and standard deviation to understand real-world situations
From Logic
• Making and testing conjectures
• Formulating counterexamples
• Constructing sound logical arguments
• Understanding the idea of proof
• Writing proofs
• Developing and describing algorithms and strategies
Return to the Curriculum Summary.