Grade 12 Mathematics

12.1.1  By the end of the twelfth grade, students will describe and compare the relationships between subsets of real numbers. (Draw Venn diagrams including but not limited to natural, whole, integers, rational, irrational, and real numbers; find intersection and union of two sets of numbers; given a number, identify which subsets it belongs to; justify why a number does not belong to a specific set.)

12.1.2  By the end of the twelfth grade, students will express the equivalent forms of numbers using exponents, radicals, scientific notation, absolute values, fractions, decimals, and percents.

12.2.1  By the end of the twelfth grade, students will solve theoretical and applied problems using numbers in equivalent forms, radicals, exponents, scientific notation, absolute values, fractions, decimals, and percents, ratios and proportions, order of operations, and properties of real numbers.

12.2.2  By the end of the twelfth grade, students will justify solutions to mathematical problems. (Write an explanation based on the context of the problem stating why the solution is reasonable.)

12.2.3  By the end of the twelfth grade, students will perform estimations and computations of real numbers mentally, with paper and pencil, and with technology.

12.3.1  By the end of the twelfth grade, students will select and use measuring units, tools, and/or technology and explain the degree of accuracy and precision of measurements. (Explain the accuracy of the measurement; explain the precision of the measurement tool.)

12.3.2  By the end of the twelfth grade, students will convert between metric and standard units of measurement, given conversion factors. (Change yards to meters; change miles/hour to meters/second.)

12.4.1  By the end of the twelfth grade, students will calculate perimeter and area of two-dimensional shapes and surface area and volume of three-dimensional shapes.

12.4.2  By the end of the twelfth grade, students will create geometric models to describe the physical world. (Create perspective drawing; create scale models.)

12.4.3  By the end of the twelfth grade, students will evaluate characteristics and properties of two-and three-dimensional geometric shapes. (Classify and compare attributes of two- and three-dimensional shapes; classify shapes in terms of congruence and similarity and apply these relationships; determine the effects of changing dimensions on perimeter, area, and volume; investigate and deduce geometric properties using transformations such as translations, rotations, and reflections.)

12.4.4  By the end of the twelfth grade, students will apply coordinate geometry to locate and describe objects algebraically. (Graph a geometric shape and determine the slope of the sides; identify the missing vertices of a polygon.)

12.4.5  By the end of the twelfth grade, students will apply right triangle trigonometry to find length and angle measurements.

12.4.6  By the end of the twelfth grade, students will apply geometric properties to solve problems. (Find missing angles and lengths of geometric shapes using geometric properties [properties may include but are not limited to similarity, parallel and line-transversal].)

12.4.7  By the end of the twelfth grade, students will apply deductive reasoning to arrive at a conclusion. (Justify steps when solving an algebraic equation using properties of real numbers; use logic statements, paragraph proof, two-column proof, or algebraic proof to arrive at a conclusion.)

12.5.1 By the end of twelfth grade, students will select a sampling technique to gather data, analyze the resulting data and make inferences. (Justify the chosen sampling techniques; use technology to analyze data.)

12.5.2  By the end of the twelfth grade, students will write equations and make predictions from sets of data. (Display data in a scatter plot, describe its shape, and estimate how close the data comes to fitting an equation; relate the slope of a regression line to the rate of change for the data set; determine what the y-intercept or beginning value indicates about the data; determine the validity of predictions made from regression equations.)

12.5.3  By the end of the twelfth grade, students will apply theoretical probability to represent problems and make decisions. (Explain the likelihood of the next event based on theoretical probabilities.)
 
12.5.4  By the end of the twelfth grade, students will evaluate how transformations on data affect the measures of central tendency and variability. (Describe how adding the same amounts to each score changes the mean, median, mode, range, outliers, interquartile points, maximum, and minimum; describe how dropping an outlier changes the other measures.)

12.5.5  By the end of the twelfth grade, students will interpret data represented by the normal distribution and formulate conclusions. (Sketch a normal or bell curve, label one and two standard deviations from the mean and fill in approximate percents associated with the deviations; determine factors that will produce a curve that is not normal; describe how sample size is related to a normal curve; determine position or rank relative to others in a normally distributed group given the standard deviation and mean.)

12.5.6  By the end of the twelfth grade, students will calculate probabilities of independent events. (Calculate probabilities using the fundamental counting principle and permutations.)

12.6.1  By the end of the twelfth grade, students will graph and interpret algebraic relations and inequalities. (Describe a graph by identifying intercepts, slope, maximum, minimum, increasing, decreasing, parallel, and perpendicular; use families of curves to describe the effect of changing coefficients of an equation.)

12.6.2  By the end of the twelfth grade, students will solve problems involving equations and inequalities. (Use appropriate methods to solve linear and quadratic equations.)

12.6.3  By the end of the twelfth grade, students will solve problems involving systems of two equations, and systems of two or more inequalities. (Solve systems by graphing, substitution, elimination or matrices.)

12.6.4  By the end of the twelfth grade, students will solve problems using patterns and functions. (Apply direct and indirect variations; recognize the properties of families of functions; recognize patterns of exponential growth and decay and their significance to real-life situations; represent a problem in multiple formats [words, tables, graphs, and symbols].)

This site is using the Slab-Red 1.0 theme.