MONTH

CONTENT

SKILLS

ASSESSMENTS

STANDARDS

August/September

September

September/October

October

October/November

November

November/December

January

December/January

January/February

February/March

March/April

April

April/May

May

Discovering Points, Lines, Planes, and Angles

Connecting Reasoning and Proof

Using Perpendicular and Parallel Lines

Identifying Congruent Triangles

Applying Congruent Triangles

Exploring Quadrilaterals

Connecting Proportion and Similarity

Semester Test

Applying Right Triangles and Trigonometry

Analyzing Circles

Exploring Polygons and Area

Investigating Surface Area and Volume

Continuing Coordinate Geometry

Constructions

Semester Test

·          graph ordered pairs on a coordinate plane

·          identify collinear points

·          identify and model points, lines, and planes

·          identify coplanar points and intersecting lines and planes

·          solve problems by listing possibilities

·          solve problems using formulas

·          find maximum area of a rectangle for a given perimeter

·          find the distance between two points on a number line and between two points in a coordinate plane

·          use the Pythagorean Theorem to find the length of the hypotenuse of a right triangle

·          find the midpoint of a segment

·          complete proofs involving segment theorems

·          identify angles and classify angles

·          use the angle addition postulate to find the measure of angles

·          identify and use congruent angles and the bisector of an angle

·          identify and use adjacent, vertical, complementary, supplementary, and linear  pairs of angles, and perpendicular lines

·          determine what information can and cannot be assumed in a diagram

·          make conjectures based on inductive reasoning

·          write a statement in if-then form

·          write the converse, inverse, and contrapositive of an if-then statement

·          identify and use basic postulates about points, lines, and planes

·          use the Law of Detachment and the Law of Syllogism in deductive reasoning

·          solve problems looking for patterns

·          use properties of equality in algebraic and geometric proofs

·          complete proofs involving segment theorems

·          complete proofs involving angle theorems

·          solve problems by drawing a diagram

·          identify the relationships between two lines or between two planes

·          to name angles formed by a pair of lines and a transversal

·          use the properties of parallel lines to determine angle measures

·          find the slopes of lines

·          use slope to identify parallel and perpendicular lines

·          recognize angle conditions that produce parallel lines

·          pro two lines are parallel based on given angle relationships

·          recognize and use distance relationships among points, lines, and planes

·          identify points, lines, and planes in spherical geometry

·          compare and contrast basic properties of plane and spherical geometry

·          identify the parts of triangles and classify triangles by their parts

·          apply the angle sum theorem

·          apply the exterior angle theorem

·          name and label corresponding parts of congruent triangles

·          use SSS, SAS, and ASA Postulates to test for triangle congruence

·          use the AAS Theorem to test triangles congruence

·          solve problems by eliminating the possibilities

·          use properties of isosceles and equilateral triangles

·          identify and use medians, altitudes, angles bisectors, and perpendicular bisectors in a triangle

·          recognize and use tests for congruence of right triangles

·          use indirect reasoning and indirect proof to reach a conclusion

·          to recognize and apply properties of inequalities to the measures of segments and angles

·          solve problems backwards

·          recognize and apply relationships between sides and angles in a triangle

·          apply the Triangle Inequality Theorem

·          apply the SAS Inequality an the SSS Inequality

·          recognize and apply the properties of a parallelogram

·          find the probability of an event

·          recognize and apply the conditions that ensure a quadrilateral is a parallelogram

·          recognize and apply the properties of rectangles

·          recognize and apply the properties of squares and rhombi

·          recognize and apply the properties of trapezoids

·          recognize and use ratios and proportions

·          apply the properties of proportions

·          identify similar figures

·          solve problems using similar figures

·          identify similar triangles

·          use similar triangles to solve problems

·          use proportional parts of triangles to solve problems

·          divide a segment in to congruent parts

·          recognize and use the proportional relationships of corresponding perimeters, altitudes, angle bisectors, and medians of similar triangles

·          find the geometric mean between two numbers

·          solve problems involving relationships between parts of a triangle and the altitude to its hypotenuse

·          use the Pythagorean Theorem and its converse

·          use the properties of 45-45-90 and 30-60-90 triangles

·          find the trig ratios using right triangles

·          solve problems using the trig ratios

·          use trig to solve problems involving angles of elevation or depression

·          use the Law of Sines to solve triangles

·          use the Law of Cosines to solve triangles

·          choose the appropriate strategy for problems solving

·          identify and use parts of circles

·          solve problems using the circumference of a circle

·          recognize major arcs, minor arcs, semicircles, and central angles

·          find measures of central angles

·          sole problems by making a circle graph

·          recognize and use relationships among arcs, chords, and diameters

·          recognize and find measures of inscribed angels

·          apply properties of inscribed figures

·          recognize tangents and use properties of tangents

·          find measures of angles formed by intersecting secants and tangents in relation to intercepted arcs

·          use properties of chords, secants, and tangent to solve segments measure problems

·          write and use the equation of a circle in the coordinate plane

·          identify and name polygons

·          find the sum of the measures of interior and exterior angles of convex polygons and measures of interior and exterior angles of regular polygons

·          solve problems involving angle measures of polygons

·          identify regular and uniform tessellations

·          create tessellations with specific attributes

·          solve problems using guess and check

·          find areas of parallelograms

·          find areas of triangles, rhombi, and trapezoids

·          find area of regular polygons

·          find areas of circles

·          use area to solve problems involving geometric probability

·          use top, front, side,a nd corner views fo three-dimensional solids to make models

·          describe and draw cross sections and other slices of three-dimensional solids

·          draw three-dimensional figures on dot paper

·          make two-dimensional nets for three-dimensional solids

·          find surface area

·          find the lateral area and surface area of a right prism

·          find the lateral area and surface area of a right cylinder

·          find the lateral area and surface area of a regular pyramid

·          find the lateral area and surface area of a right circular cone

·          find the volume of a right prism

·          find the volume of a right cylinder

·          find the volume of a pyramid

·          find the volume of a circular cone

·          recognize and define basic properties of spheres

·          find the surface area and the volume of a sphere

·          identify congruent or similar solids

·          state properties of congruent solids

·          graph linear equations using the intercepts method and slope-intercept method

·          write an equation of a line given information about its graph

·          solve problems by using equations

·          relate statistics and equations of lines to geometric concepts

·          construct 16 basic to challenge constructions of geometric figures

·          demonstrate an understanding of vocabulary of geometry by following directions to construct geometric designs

·          correcting using geometric tools to produce precise drawings

·          develop an awareness of spatial sense

·          view geometry and as active mathematics

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Semester Test

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Daily Participation

Completed Portfolio Project

Semester Test