M11.D.1.1 Analyze and/or use patterns or relations M11.B.2.1 Use and /or compare measurements of angles M11.C.3.1 Solve problems using analytic geometry M11.B.2.2 Use and/or develop procedures to determine or describe measures of perimeter, circumference, area, surface area and/or volume

§ Use inductive reasoning to make conjectures § Understand basic terms and postulates of geometry § Identify segments and rays and parallel lines § To find lengths of segments § To find measures of angles § Identify special angle pairs § Find the distance and midpoint of a segment on a coordinate plane § Find perimeter and area of rectangles and squares § Find the circumference and area of a circle

2. Triangle Relationships

M11.C.1.2 Recognize and/or apply properties of angles, triangles and quadrilaterals M11.C.1.4 Solve problems involving right triangles using the Pythagorean Theorem.

Classify triangles by their sides and by their angles.

Find angles measures in triangles.

Use properties of isosceles and equilateral triangles.

Use the Pythagorean Theorem and the Distance Formula.

Use the Converse of Pythagorean Theorem.

Use side lengths to classify triangles.

Identify medians in triangles

Use triangle measurements to decide which side is longest and which angle is largest.

3. Segments and Angles

M1 1 .C.3.1 Solve problems using analytic geometry. M11.C.1.2 Recognize and/or apply properties of angles, triangles and quadrilaterals M1 1 .C.1 .3 Use properties of congruence, correspondence and similarity in problem-solving settings involving two- and three- dimensional figures

Bisect a segment.

Find the coordinates of the midpoint of a segment.

Bisect an angle.

Find measures of complementary and supplementary angles.

Find measures of angles formed by intersecting lines.

Use properties of equality and congruence

4. Parallel and Perpendicular Lines

M11.C.1.2 Recognize and/or apply properties of angles, triangles and quadrilaterals

Identify relationships between lines.

Use theorems about perpendicular lines.

Identify angles formed by transversals.

5. Right Triangles and Trigonometry

M1 1 .A.2.2 Use exponents, roots and/or absolute value to solve problems.

Simplify square roots.

Find the side lengths of 45-45-90 triangles.

Find the side lengths of 30-60-90 triangles.

6. Quadrilaterals

M11.C.1.2 Recognize and/or apply properties of angles, triangles and quadrilaterals

Identify and classify polygons

Find angle measures of quadrilaterals

Use properties of parallelograms

Determine if a quadrilateral is a parallelogram

Use properties of the rhombus, rectangle, and square.

7. Similarity

M1 1 .A.2.1 Apply ratio and/or proportion in problem-solving situations. M11.C.1.3Use the Triangle Proportionality Theorem Use properties of congruence, correspondence and its converse and similarity in problem-solving settings involving Identify and draw dilations two- and three- dimensional figures.

Use ratios and proportions

Identify similar polygons

Use the AA, SSS, and SAS Similarity Postulates to show that two triangles are similar

8. Surface Area and Volume

M11.B.2.2 Use and/or develop procedures to determine or describe measures of perimeter, circumference, area, surface area and/or volume.

Identify and name solid figures

Find the surface area of prisms, cylinders, pyramids, and cones

Find the volume of prisms, cylinders, pyramids, and cones

Find the surface area and volume of spheres

9. Circles

M1 1 .C.1 .1 Identify and/or use parts of circles and segments associated with circles. M11.B.2.1 Use and/or compare measurements of angles.

Use properties of arcs of circles to identify angle and arc measures.

updated January 2010

UNITStandardsObjectivesAnalyze and/or use patterns or relations

M11.B.2.1

Use and /or compare measurements of angles

M11.C.3.1

Solve problems using analytic geometry

M11.B.2.2

Use and/or develop procedures to determine or describe measures of perimeter, circumference, area, surface area and/or volume

§ Understand basic terms and postulates of geometry

§ Identify segments and rays and parallel lines

§ To find lengths of segments

§ To find measures of angles

§ Identify special angle pairs

§ Find the distance and midpoint of a segment on a coordinate plane

§ Find perimeter and area of rectangles and squares

§ Find the circumference and area of a circle

Recognize and/or apply properties of angles, triangles and quadrilaterals

M11.C.1.4

Solve problems involving right triangles using the Pythagorean Theorem.

Solve problems using analytic geometry.

M11.C.1.2

Recognize and/or apply properties of angles, triangles and quadrilaterals

M1 1 .C.1 .3

Use properties of congruence, correspondence and similarity in problem-solving settings involving two- and three- dimensional figures

Recognize and/or apply properties of angles, triangles and quadrilaterals

Use exponents, roots and/or absolute value to solve problems.

Recognize and/or apply properties of angles, triangles and quadrilaterals

Apply ratio and/or proportion in problem-solving situations.

M11.C.1.3Use the Triangle Proportionality Theorem Use properties of congruence, correspondence and its converse and similarity in problem-solving settings involving Identify and draw dilations two- and three- dimensional figures.

Use and/or develop procedures to determine or describe measures of perimeter, circumference, area,

surface area and/or volume.

Identify and/or use parts of circles and segments associated with circles.

M11.B.2.1

Use and/or compare measurements of angles.