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N.1.Number and Operations (NCTM)
Number and Operations (NCTM)
1.1. Understand numbers, ways of representing numbers, relationships among numbers, and number systems.
1.1.1. Develop a deeper understanding of very large and very small numbers and of various representations of them.
1.1.2. Compare and contrast the properties of numbers and number systems, including the rational and real numbers, and understand complex numbers as solutions to quadratic equations that do not have real solutions.
1.3. Compute fluently and make reasonable estimates.
1.3.1. Develop fluency in operations with real numbers, vectors, and matrices, using mental computation or paper-and-pencil calculations for simple cases and technology for more-complicated cases.
2.1. Understand patterns, relations, and functions.
2.1.2. Understand relations and functions and select, convert flexibly among, and use various representations for them.
Quiz, Flash Cards, Worksheet, Game & Study GuideFunctions
2.1.3. Analyze functions of one variable by investigating rates of change, intercepts, zeros, asymptotes, and local and global behavior.
Quiz, Flash Cards, Worksheet, Game & Study GuideLinear equations
2.1.5. Understand and compare the properties of classes of functions, including exponential, polynomial, rational, logarithmic, and periodic functions.
Quiz, Flash Cards, Worksheet, Game & Study GuideFunctions
2.2. Represent and analyze mathematical situations and structures using algebraic symbols.
2.2.2. Write equivalent forms of equations, inequalities, and systems of equations and solve them with fluency - mentally or with paper and pencil in simple cases and using technology in all cases.
3.1. Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships.
3.1.1. Analyze properties and determine attributes of two- and three-dimensional objects.
3.1.2. Explore relationships (including congruence and similarity) among classes of two- and three-dimensional geometric objects, make and test conjectures about them, and solve problems involving them.
3.2. Specify locations and describe spatial relationships using coordinate geometry and other representational systems.
3.2.1. Use Cartesian coordinates and other coordinate systems, such as navigational, polar, or spherical systems, to analyze geometric situations.
Quiz, Flash Cards, Worksheet, Game & Study GuidePlane figures
3.2.2. Investigate conjectures and solve problems involving two- and three-dimensional objects represented with Cartesian coordinates.
Quiz, Flash Cards, Worksheet, Game & Study GuidePlane figures
3.3. Apply transformations and use symmetry to analyze mathematical situations.
3.3.1. Understand and represent translations, reflections, rotations, and dilations of objects in the plane by using sketches, coordinates, vectors, function notation, and matrices.
5.2. Select and use appropriate statistical methods to analyze data.
5.2.1. For univariate measurement data, students should be able to display the distribution, describe its shape, and select and calculate summary statistics.
5.2.2. For bivariate measurement data, students should be able to display a scatterplot, describe its shape, and determine regression coefficients, regression equations, and correlation coefficients using technological tools.
5.3. Develop and evaluate inferences and predictions that are based on data.
5.3.2. Understand how sample statistics reflect the values of population parameters and use sampling distributions as the basis for informal inference.
5.3.3. Evaluate published reports that are based on data by examining the design of the study, the appropriateness of the data analysis, and the validity of conclusions.