Content for Year 2
From Algebra
• Developing and using principles for equivalent expressions, including the distributive property
• Expressing real-world situations in terms of equations and inequalities
• Understanding and using the distributive property
• Developing principles for equivalent equations and applying these principles to solve equations
• Solving linear equations in one variable
• Discovering and understanding relationships between the algebraic expression defining a linear function and the graph of that function
• Developing and using several methods for solving systems of linear equations in two variables
• Defining and recognizing dependent, inconsistent, and independent pairs of linear equations
• Solving nonroutine equations using graphing calculators
• Writing and graphing linear inequalities in two variables
• Developing and using principles of linear programming for two variables
• Creating linear programming problems with two variables
• Understanding and using exponential expressions, including zero, negative, and fractional exponents
• Developing and using laws of exponents
• Using scientific notation
• Using the concept of order of magnitude in estimation
From Geometry
• Developing the meaning of area using both standard and nonstandard units
• Developing and using several methods for finding areas of polygons, including development of formulas for area of triangles, rectangles, parallelograms, trapezoids, and regular polygons
• Understanding and finding surface area and volume for three-dimensional solids, including prisms and cylinders
• Discovering and using the Pythagorean theorem
• Understanding and explaining a proof of the Pythagorean theorem
• Finding figures of maximum area for a given perimeter
• Understanding the relationship between the areas and volumes of similar figures
• Using and developing methods for creating tessellations
From Trigonometry
• Applying right triangle trigonometry to area and perimeter problems
From Probability and Statistics
• Drawing inferences from statistical data
• Designing, conducting, and interpreting statistical experiments
• Making and testing statistical hypotheses
• Formulating null hypotheses and understanding their role in statistical reasoning
• Understanding and using the c2 statistic
• Understanding and appreciating that tests of statistical significance do not lead to definitive conclusions
• Solving problems that involve conditional probability
From Logic
• Working with indirect proof and proof by contradiction
• Using “if, then” statements
Return to the Curriculum Summary.