Grade Level & Subject: Grade 10 Geometry		Curriculum Map	Year 2003
Calendar	April	May	June
	Fourth Nine Weeks – April - June
Possible Resources	McDougal Littel
Nine Weeks Focus
Skills/Standards	Number, Number Sense, and Operations Standards 1. Connect physical, verbal and symbolic representations of irrational numbers; e.g., construct 2 as a hypotenuse or on a number line. 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. 5. Determine the measures of central and inscribed angles and their associated major and minor arcs. 3. Use the ratio of lengths in similar two-dimensional figures or three dimensional objects to calculate the ratio of their areas or volumes respectively. (From 9^th Grade Standards) 4.Use scale drawings and right triangle trigonometry to solve problems that include unknown distance and angle measures. (From 9^th Grade Standards) Geometry and Spatial Sense Standard 1. Formally define and explain key aspects of geometric figures, including: d. circles (radius, diameter, chord, circumference, major arc, minor arc, sector, segment, inscribed angle). 2. Recognize and explain the necessity for certain terms to remain undefined, such as point, line and plane. 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: d. test a conjecture using basic constructions made with a compass and straightedge or technology. 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. 7. Perform reflections and rotations using compass and straightedge constructions and dynamic geometry software. 8. Derive coordinate rules for translations, reflections and rotations of geometric figures inthe coordinate plane. 10. Solve problems involving chords, radii and arcs within the same circle. Patterns, Functions, and Algebra Standard6 7 8 9 11 12 3. Solve equations and formulas for a specified variable; e.g., express the base of a triangle in terms of the area and height. 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. 6. Solve equations and inequalities having rational expressions as coefficients and solutions. 8. Graph the quadratic relationship that defines circles. 10. Solve real-world problems that can be modeled using linear, quadratic, exponential or square root functions. (not previously addressed) 2. Describe and compare characteristics of the following families of function: square root, cubic, absolute value and basic trigonometric functions: e.g., general shape , possible number of roots domain and range. (not previously addressed) Data Analysis and Probability Standard 7. Model problems dealing with uncertainty with area models (geometric probability). (Cord material suggested) 8. Differentiate and explain the relationship between the probability of an event and the odds of an event, and compute one given the other. (Cord material suggested)
Assessments