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NM.A.Algebra, Functions, and Graphs: Students will understand algebraic concepts and applications.
Algebra, Functions, and Graphs: Students will understand algebraic concepts and applications.
9-12.A.1. Represent and analyze mathematical situations and structures using algebraic symbols. 9-12.A.1.1. Use the special symbols of mathematics correctly and precisely. Quiz, Flash Cards, Worksheet, Game & Study Guide Functions Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences
9-12.A.1.11. Describe the properties of rational exponents and apply these properties to simplify algebraic expressions.
9-12.A.1.17. Solve linear equations and inequalities in one variable including those involving the absolute value of a linear function.
9-12.A.1.18. Use the four basic operations (+, -, x, /) with linear, polynomial, and rational expressions in contextual situations.
9-12.A.1.2. Classify and use equivalent representations of natural, whole, integer, rational, irrational numbers and complex numbers, and choose which type of number is appropriate in a given context.
9-12.A.1.7. Translate verbal statements into algebraic expressions or equations.
9-12.A.1.8. Solve formulas for specified variables.
9-12.A.2. Understand patterns, relations, functions, and graphs. 9-12.A.2.1. Distinguish between the concept of a relation and a function. Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
9-12.A.2.2. Determine whether a relation defined by a graph, a set of ordered pairs, a table of values, an equation, or a rule is a function. Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
9-12.A.2.6. Graph a linear equation and demonstrate that it has a constant rate of change.
9-12.A.2.7. Graph a linear inequality in two variables.
9-12.A.3. Use mathematical models to represent and understand quantitative relationships. 9-12.A.3.4. Solve systems of linear equations in two variables algebraically and graphically
9-12.A.3.5. Solve applications involving systems of two equations in two variables.
9-12.A.3.8. Determine whether the graphs of two given linear equations are parallel, perpendicular, coincide or none of these.
NM.DData Analysis and Probability: Students will understand how to formulate questions, analyze data, and determine probabilities.
Data Analysis and Probability: Students will understand how to formulate questions, analyze data, and determine probabilities.
9-12.D.1. Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them. 9-12.D.1.1. Explain the differences between various methods of data collection.
9-12.D.1.2. Describe the characteristics of a well-designed and well-conducted survey by differentiating between sampling and census, and a biased and unbiased sample.
9-12.D.2. Select and use appropriate statistical methods to analyze data and make predictions. 9-12.D.2.10. Use technological tools to find the line of best fit.
9-12.D.2.11. Describe the relationship between two variables and determine its strength with and without technological tools.
9-12.D.2.12. Explain why correlation does not imply a cause-and-effect relationship.
9-12.D.2.8. Describe the shape of a scatterplot.
9-12.D.2.9. Use linear patterns in data to make predictions.
9-12.D.3. Understand and apply basic concepts of probability. 9-12.D.3.4. Compute the probability of an event using the complement rule, addition rule for disjoint and joint events, multiplication rule for independent events, and rules for conditional probability.
NM.G.Geometry and Trigonometry: Students will understand geometric concepts and applications.
Geometry and Trigonometry: Students will understand geometric concepts and applications.
9-12.G.1. Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships. 9-12.G.1.1. Understand that numerical values associated with measurements of physical quantities must be assigned units of measurement or dimensions; apply such units correctly in expressions, equations and problem solutions that involve measurements; and convert a measurement using one unit of measurement to another unit of measurement.
9-12.G.1.3. Draw three-dimensional objects and calculate the surface areas and volumes of these figures (e.g. prisms, cylinders, pyramids, cones, spheres) as well as figures constructed from unions of prisms with faces in common, given the formulas for these figures.
9-12.G.2. Specify locations and describe spatial relationships using coordinate geometry and other representational systems. 9-12.G.2.1. Identify the origin, coordinate axes, and four quadrants on the Cartesian coordinate plane, and draw and label them correctly.
9-12.G.2.3. Use basic geometric ideas (e.g., the Pythagorean theorem, area and perimeter) in the context of the Cartesian coordinate plane (e.g., calculate the perimeter of a rectangle with integer coordinates and with sides parallel to the coordinate axes, and of a rectangle with sides not parallel).
9-12.G.3. Apply transformations and use symmetry to analyze mathematical situations. 9-12.G.3.2. Sketch a planar figure that is the result of given transformations (i.e., translation, reflection, rotation, and/or dilation).
9-12.G.4. Use visualization, spatial reasoning, and geometric modeling to solve problems. 9-12.G.4.1. Solve contextual problems using congruence and similarity relationships of triangles (e.g., find the height of a pole given the length of its shadow).
9-12.G.4.2. Solve problems involving complementary, supplementary, and congruent angles.
9-12.G.4.3. Know that the effect of a scale factor k on length, area and volume is to multiply each by k, k squared and k cubed, respectively.