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Grade Level & Subject:
Grade 10 Geometry |
Curriculum Map |
Year 2003 |
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Calendar |
February |
March |
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Third Nine Weeks – February -March |
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Possible Resources |
McDougal Littel |
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Nine Weeks Focus |
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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
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Assessments |
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