Grade Level & Subject: Grade 10 Geometry		Curriculum Map	Year 2003
Calendar	November	December	January
	Second Nine Weeks – November - January
Possible Resources	McDougal Littel
Nine Weeks Focus
Skills/Standards	Number, Number Sense, and Operations Standards Measurement Standard 1. Explain how a small error in measurement may lead to a large error in calculated results. 2. Calculate relative error. 3. Explain the difference between absolute error and relative error in measurement. 4. Give examples of how the same absolute error can be problematic in one situation but not in another; e.g., compare “accurate to the nearest foot” when measuring the height of a person versus when measuring the height of a mountain. Geometry and Spatial Sense Standard 1. Formally define and explain key aspects of geometric figures, including: a. interior and exterior angles of polygons; b. segments related to triangles (median, altitude, midsegment); 3. Make, test and establish the validity of conjectures about geometric properties and relationships using counterexample, inductive and deductive reasoning, and paragraph or two-column proof, including: a. prove the Pythagorean Theorem; b. prove theorems involving triangle similarity and congruence; Geometry and Spatial Sense Standard (Continued) c. prove theorems involving properties of lines, angles, triangles and quadrilaterals; d. test a conjecture using basic constructions made with a compass and straightedge or technology. 4. Construct right triangles, equilateral triangles, parallelograms, trapezoids, rectangles, rhombuses, squares and kites, using compass and straightedge or dynamic geometry software. 5. Construct congruent figures and similar figures using tools, such as compass, straightedge, and protractor or dynamic geometry software. 6. Identify the reflection and rotation symmetries of two- and three-dimensional figures. 8. Derive coordinate rules for translations, reflections and rotations of geometric figures in the coordinate plane. 10. Solve problems involving chords, radii and arcs within the same circle. (not previously addressed) 3. Analyze two-dimensional figures in a coordinate plane :e.g., use slope and distance formulas to show that a quadrilateral is a parallelogram. (From 9th grade standards) Patterns, Functions, and Algebra Standard6 7 8 9 11 12 4. Use algebraic representations and functions to describe and generalize geometric properties and relationships. 5. Solve simple linear and nonlinear equations and inequalities having square roots as coefficients and solutions. 10. Solve real-world problems that can be modeled using linear, quadratic, exponential or square root functions. Data Analysis and Probability Standard 1. Describe measures of center and the range verbally, graphically and algebraically. 2. Represent and analyze bivariate data using appropriate graphical displays (scatterplots, parallel box-and-whisker plots, histograms with more than one set of data, tables, charts, spreadsheets) with and without technology. 3. Display bivariate data where at least one variable is categorical. 4. Identify outliers on a data display; e.g., use interquartile range to identify outliers on a box-and-whisker plot. Data Analysis and Probability Standard (Continued) 5. Provide examples and explain how a statistic may or may not be an attribute of the entire population; e.g., intentional or unintentional bias may be present. 6. Interpret the relationship between two variables using multiple graphical displays and statistical measures; e.g., scatterplots, parallel box-and-whisker plots, and measures of center and spread. (Cord Material Suggested)
Assessments