Given examples of circles and the lines that intersect them, the student will use explorations and concrete models to formulate and test conjectures about the properties of and relationships among the resulting angles.

Given problem situations involving similar figures, the student will use ratios to solve the problems.

Given a square root function or a rational function, the student will determine the effect on the graph when f(x) is replaced by af(x), f(x) + d, f(bx), and f(x - c) for specific positive and negative values.

Given an exponential or logarithmic function, the student will describe the effects of parameter changes.

Given a square root equation, the student will solve the equation using tables or graphs - connecting the two methods of solution.

Given parameter changes for rational functions, students will be able to predict the resulting changes on important attributes of the function, including domain and range and asymptotic behavior.

Given background information, students will be able to identify economic, social, and political issues surrounding the Gilded Age. Students will identify significant historical figures associated with the Gilded Age.

Given primary and secondary sources of information about selected New Deal measures (e.g., the creation of the Civilian Conservation Corps or the passage of the Agricultural Adjustment Act), students will analyze how these measures affected various regions of the United States.

Students will identify ways in which Cold War tensions were intensified.

Given a timeline, students will understand the political, economic, and social impact of selected U.S. political leaders on the world from the 1970s into the 21st century.

Given information about social issues throughout U.S. history, students will describe the causes and effects of significant societal issues.

Given selected examples of American art, music, and literature, students will be able to identify the era of U.S. history that is reflected in the art.

Given background information about selected historical figures, students will be able to analyze the importance and contributions of women and people of various racial, ethnic, and religious groups to the national identity and the cultural landscape.

Given a variety of data (including line plots, line graphs, stem and leaf plots, circle graphs, bar graphs, box and whisker plots, histograms, and Venn diagrams), the student will select and use an appropriate representation for presenting and displaying relationships among the collected data with and without the use of technology

Given background information, students will be able to trace the historical development of the civil rights movement in the 19th, 20th, and 21st centuries, and describe the roles of political organizations that promoted civil rights.