Maryland School Performance Program
Mathematics
High School Core Learning Goals
Goal 1: Functions and Algebra The student will demonstrate the ability to investigate, interpret, and communicate solutions to mathematical and real-world problems using patterns, functions, and algebra. | Goal 2: Geometry, Measurement, and Reasoning The student will demonstrate the ability to solve mathematical and real-world problems using measurement and geometric models and will justify solutions and explain processes used. | Goal 3: Data Analysis and Probability The student will demonstrate the ability to apply probability and statistical methods for representing and interpreting data and communicating results, using technology when needed. |
1.1. Expectation: The student will analyze a wide variety of patterns and functional relationships using the language of mathematics and appropriate technology. | 2.1. Expectation: The student will represent and analyze two- and three-dimensional figures using tools and technology when appropriate. | 3.1. Expectation: The student will collect, organize, analyze, and present data. |
1.1.1 The student will recognize, describe, and extend patterns and functional relationships that are expressed numerically, algebraically, and geometrically. | 2.1.1 The student will describe the characteristics of geometric figures and will construct or draw geometric figures using technology and tools. | 3.1.1 The student will design and/or conduct an investigation that uses statistical methods to analyze data and communicate results. |
1.1.2 The student will represent patterns and functional relationships in a table, as a graph, and/or by mathematical expression. | 2.1.2 The student will identify and verify properties of geometric figures using concepts from algebra and using the coordinate plane. | 3.1.2 The student will use the measures of central tendency and variability to make informed conclusions. |
1.1.3 The student will add, subtract, multiply, and divide algebraic expressions. | 2.1.3 The student will use transformations to move figures, create designs, and demonstrate geometric properties. | 3.1.3 The student will use simulations to make statistical inferences from data to estimate the probability of an event. |
1.1.4 The student will describe the graph of a non-linear function in terms of the basic concepts of maxima and minima, roots, limits, rate of change, and continuity. | 2.1.4 The student will validate properties of geometric figures using appropriate tools and technology. | |
1.2 Expectation: The student will model and interpret real-world situations, using the language of mathematics and appropriate technology. | 2.2 Expectation: The student will apply geometric properties and relationships to solve problems using tools and technology when appropriate. | 3.2 Expectation: The student will apply the basic concepts of statistics and probability to predict possible outcomes of real-world situations. |
1.2.1 The student will determine the equation for a line, solve linear equations, and describe the solutions using numbers, symbols, and graphs. | 2.2.1 The student will identify and verify congruent and similar figures and apply equality or proportionality of their corresponding parts. | 3.2.1 The student will make informed decisions and predictions based upon the results of simulations and data from research. |
1.2.2 The student will solve linear inequalities and describe the solutions using numbers, symbols, and graphs. | 2.2.2 The student will solve problems using two-dimentional figures and/or right triangle trigonometry. | 3.2.2 The student will make predictions by finding and using a line of best fit and by using a given curve of best fit. |
1.2.3 The student will solve and describe if and where two straight lines intersect using numbers, symbols, and graphs. | 2.2.3 The student will identify anduse inductive and deductive reasoning. | 3.2.3 The student will communicate the use and misuse of statistics. |
1.2.4 The student will describe how the graphical model of a non-linear function represents a given problem and will estimate the solution. | 2.3 Expectation: The student will apply concepts of measurements using tools and technology when appropriate. | |
1.2.5 The student will apply formulas and use matrices to solve real-world problems. | 2.3.1 The student will use algebraic and geometric properties to measure indirectly. | |
2.3.2 The student will use techniques of measurement and will estimate, calculate, and compare perimeter, circumference, area, volume, and surface area of two- and three-dimensional figures and their parts. The results will be expressed with appropriate precision. |