Using Logical Reasoning to Prove Conjectures about Circles
Given conjectures about circles, the student will use deductive reasoning and counterexamples to prove or disprove the conjectures.
Creating Nets for Three-Dimensional Figures
Given nets for three-dimensional figures, the student will apply the formulas for the total and lateral surface area of three-dimensional figures to solve problems using appropriate units of measure.
Drawing Conclusions about Three-Dimensional Figures from Nets
Given a net for a three-dimensional figure, the student will make conjectures and draw conclusions about the three-dimensional figure formed by the given net.
Generalizing Geometric Properties of Ratios in Similar Figures
Students will investigate patterns to make conjectures about geometric relationships and apply the definition of similarity, in terms of a dilation, to identify similar figures and their proportional sides and congruent corresponding angles.
Determining Area: Sectors of Circles
Students will use proportional reasoning to develop formulas to determine the area of sectors of circles. Students will then solve problems involving the area of sectors of circles.
Making Conjectures About Circles and Segments
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 and relationships among the resulting segments.
Determining Area: Regular Polygons and Circles
The student will apply the formula for the area of regular polygons to solve problems.
Making Conjectures About Circles and Angles
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.
Solving Problems With Similar Figures
Given problem situations involving similar figures, the student will use ratios to solve the problems.
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.
The student understands the causes of the Great Depression.
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.
Given background information, students will identify the social and economic impact of World War II on the American home front, such as the Great Depression, rationing, and increased opportunity for women and minority employment.
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 background information, students will describe the changing role of the United States as a world power during the Carter Administration.
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.
Conservation of Momentum
This resource was created to support TEKS IPC(4)(E).