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Nevada Math Standards - 12th Grade
MathScore aligns to the Nevada Math Standards for 12th Grade. The standards appear below along with the MathScore topics that match. If you click on a topic name, you will see sample problems at varying degrees of difficulty that MathScore generated. When students use our program, the difficulty of the problems will automatically adapt based on individual performance, resulting in not only true differentiated instruction, but a challenging game-like experience.
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View the Nevada Math Standards at other levels.
Numbers, Number Sense, and Computation
1.12.1 Calculate and estimate sums, differences, products, quotients, powers, and roots using mental math, formulas, and algorithms. (Roots Of Exponential Expressions , Estimating Square Roots , Simplifying Radical Expressions , Adding and Subtracting Radical Expressions , Multiplying and Dividing Radical Expressions )1.12.2 Apply the laws of exponents to perform operations on expressions with integral exponents and scientific notation. (Simplifying Algebraic Expressions 2 , Simplifying Algebraic Expressions , Binomial Fraction Simplification , Exponent Basics , Exponents Of Fractional Bases , Negative Exponents Of Fractional Bases , Multiplying and Dividing Exponent Expressions , Exponent Rules For Fractions , Roots Of Exponential Expressions )
1.12.3 Apply properties and theories of the real number system to everyday situations.
1.12.5 Perform simple operations on matrices.
Patterns, Functions, and Algebra
2.12.2 Represent, analyze, and solve problem situations using discrete structures including graphs and matrices, with and without technology.2.12.3 Create and use different forms of a variety of equations, proportions, and/or formulas (I=PRT or R=I/PT), solving for the needed variable as necessary in given situations. (Age Problems , Distance, Rate, and Time , Train Problems , Mixture Word Problems , Work Word Problems , Integer Word Problems , Two Variable Equations )
2.12.4 Add, subtract, multiply, and factor (1st and 2nd degree) polynomials, describing each step in the process and the connection between the algebraic process and the arithmetic process; use simple quadratic equations with integer roots to solve practical and mathematical problems. (Foil Method , Trinomial Factoring , Binomial Fraction Simplification , Polynomial Fraction Simplification , Quadratic Zero Equations , Quadratic Formula , Quadratic X-Intercepts , Integer Word Problems )
2.12.5 Model practical problems from everyday situations with a variety of models that includes matrices, translating among tabular, symbolic and graphical representations of functions, with and without technology.
2.12.6 Determine the domain and range of linear relations given a graph or a set of ordered pairs; explain their importance in problem solving situations. (Domain and Range )
2.12.7 Solve systems of two linear equations both algebraically and graphically; use graphing calculators as a primary tool in solving these problems and to verify solutions found by other methods. (System of Equations Substitution , System of Equations Addition )
Measurement
3.12.1 Convert one unit of measure to another between customary and metric systems and between monetary systems. (Distance Conversion , Time Conversion , Volume Conversion , Weight Conversion , Temperature Conversion )3.12.2 Select and use measurement tools, techniques, and formulas to calculate and compare rates, cost, distances, interest, temperatures, and weight/mass. (Commissions , Simple Interest , Compound Interest , Continuous Compound Interest )
3.12.3 Distinguish and differentiate among the structures, language and uses of systems of measures (e.g., linear, square units, cubic units); justify and communicate the differences between accuracy, precision, error, and tolerance in measurement; describe how each of these can affect solutions found in problem situations.
3.12.4 Use and interpret consumer data (e.g., amortization tables, tax tables, and compound interest charts) to make informed financial decisions related to practical applications such as budget.
3.12.5 Use relationships (e.g., proportions) and formulas (indirect measurement) to determine the measurement of unknown dimensions, angles, areas, and volumes to solve problems. (Triangle Angles , Quadrilateral Angles , Triangle Area , Triangle Area 2 , Parallelogram Area , Perimeter , Rectangular Solids , Rectangular Solids 2 , Compare Rectangle Area and Perimeter , Circle Area , Circle Circumference , Triangular Prisms , Cylinders , Triangle Angles 2 , Irregular Shape Areas , Area And Volume Proportions , Perimeter and Area Word Problems , Trapezoids )
Spacial Relationships and Geometry
4.12.1 Identify and use the properties of polygons (including interior and exterior angles) and elements of circles (e.g., angles, arc, chord, secants and tangents) to solve practical problems. (Polygon Angles )4.12.5 Use coordinate geometry to graph linear equations, determine slopes of lines, identify parallel and perpendicular lines and find possible solutions to sets of equations; use algebraic techniques to solve problems determined by geometric relationships. (Parallel and Perpendicular Lines , Graphs to Linear Equations , Graphs to Linear Equations 2 , Applied Linear Equations 1 , Applied Linear Equations 2 )
4.12.6 Use complementary and supplementary angles, congruent angles, vertical angles, angles formed when parallel lines are cut by a transversal, and angles in polygons to solve practical problems. (Triangle Angles 2 , Identifying Angles , Solving For Angles , Angle Measurements , Angle Measurements 2 )
4.12.7 Apply the Pythagorean Theorem, its converse, properties of special right triangles, and right triangle trigonometry to solve practical problems. (Pythagorean Theorem )
4.12.8 Use tools, technology, and models to sketch, draw, and construct geometric figures in order to solve problems and to demonstrate the properties of geometric figures.
4.12.9 Construct, justify and defend mathematical conclusions using logical, sequential, deductive reasoning supported by established mathematical principles.
Data Analysis
5.12.1 Use calculators and computers to create and manipulate tables, graphs, and matrices to communicate statistical information; use the shape of graphs of normal distributions to compare and analyze information.5.12.2 Design, conduct, analyze, and communicate the results of multi-stage probability experiments.
5.12.3 Identify a probability situation as a permutation or a combination and find the possible outcomes using a variety of methods.
5.12.4 Select and use the measures of central tendency such as mean, median, mode and variability including range, distribution and possible outliers that are appropriate for given situations. (Mean, Median, Mode , Stem And Leaf Plots )
5.12.5 Analyze the validity of statistical conclusions noting various sources of bias, misuse, and abuse of data caused by a wide variety of factors including choices of scale, probability versus odds, inappropriate uses of measures of central tendency, inaccurate curve fitting and inappropriate uses of controls or sample groups.
5.12.6 Design, construct, analyze, and select an appropriate type of graph to represent data to communicate the results of statistical experiments (e.g., write a survey question and analyze and communicate the findings).
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