Grade Level & Subject:

Grade 10 Geometry

Curriculum Map

Year 2003

Calendar

February

March

 

 

Third Nine Weeks – February -March

 

Possible Resources

 

 

McDougal Littel

 

Nine Weeks Focus

 

 

     

 

Skills/Standards

 

Number, Number Sense, and Operations Standards

2. Explain the meaning of the nth root.

3. Use factorial notation and computations to represent and solve problem situations involving arrangements. (Not previously addressed)

 

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);

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.

 

Geometry and Spatial Sense Standard (Continued)

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:

b. prove theorems involving triangle similarity and congruence;

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.

10. Solve problems involving chords, radii and arcs within the same circle.

1.Define the basic trigonometric ratios in right triangles: sine, cosine and tangent. (From 9th grade Standards)

2.Apply proportions and right triangle trigonometric ratios to solve problems involving missing lengths and angle measures in similar figures. (From 9th grade Standards)

 

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.

10. Solve real-world problems that can be modeled using linear, quadratic, exponential or square root functions.

 

Data Analysis and Probability Standard

 

 

 

Assessments