Introduction to points, lines and planes

Introduction to measuring segments and angles by use of a ruler and protractor

Use of the segment and angle addition postulates, the midpoint and distance formula

Introduction to parallel and perpendicular lines

Angles formed by parallel lines cut by a transversal

Constructing congruent segments and angles with the use of a straight edge and compass

Using algebra review to find the equation of parallel and perpendicular lines

(G.1.1)  Students will be able to proficiently use the segment and angle addition formulas.

(G.1.3)  Students will be able to recognize relationships between angles formed by parallel lines and a transversal.

(G.1.2)   Students will be able to construct congruent segments and angles using a straight edge and compass.

Students will be able to use coordinate geometry to find slopes of parallel and perpendicular lines as well as the equation of lines

Patterns and Inductive Reasoning

Conditional Statements

Biconditionals

Deductive Reasoning

Proofs in Algebra and Geometry

(G.8.3) Students will be able to make conjectures about geometric ideas.

(G.8.4) Students will be able to write and interpret “if then” statements and “if and only if” statements.

(G.8.5) Students will understand inverse, converse and contra positive statements.

(G.8.8) Students will be able to do inductive and deductive proofs.

Relationships between lines

Perpendicular lines

Angles formed by transversals

Parallel lines and Transversals

(G.1.3)Students will recognize relationships between parallel lines

Students will be able to prove lines are parallel using given angles.

(G.1.4) Students will be able to identify and apply properties of and theorems about parallel and perpendicular lines. Also write equations for parallel and perpendicular lines

Classifying Triangles

Angle Measures of triangles

Isosceles and Equilateral Triangles

Pythagorean theorem and the distance formula

Medians of triangles

Triangle Inequalities

(G.4.1)Students will be able to classify triangles by side length as well as angles measure

(G.4.3)Students will be able to find missing angles in triangles

(G.4.3)Students will be able to find missing sides of right triangles

(G.4.8)Students will be able to classify triangles using the triangle inequality

Congruence and triangles

Proving triangles congruent by using SSS, SAS, AAS, ASA, and HL

Angle and Perpendicular bisectors.

Reflections and Symmetry

(G.4.4)Students will be able to prove triangles are congruent.

(G.2.2)Students will understand reflections and symmetry

Polygons

Properties of Parallelograms

Rhombus Rectangles and Squares

Trapezoids

Reasoning with Special Quadrilaterals

(G.2.1)Students will be able to identify convex, concave and regular polygons

(G.2.2)Students will be able to find the measures of interior and exterior angles of polygons

(G.2.5)Students will be able to describe, classify, and understand relationships among quadrilaterals

Ratios and Proportions

Similar Polygons

Showing Triangles similar by AA, SSS,  and SAS

Proportions and similar triangles

The midsegment theorem

(G.4.4)Students will use properties of similar triangles to solve problems

(G.4.5)Students will prove and apply theorems involving segments divided proportionally

Angles in Polygons

Area of Squares

Area of Triangles

Area of Parallelograms

Area of Trapezoids

Circumference and Area of Circles

(G.3.3)Students will find the area of Quadrilaterals

(G.3.3)Students will find the areas of Triangles

(G.6.2)Students will be able to find the circumference and area of circles

Polyhedrons

Surface area of Prisms and Cylinders

Surface area and Volume of Pyramids and Cones

Surface area and Volume of Spheres

(G.7.1)Students will be able to make and describe regular and nonregular polyhedrons

 (G.7.3)Students will be able to describe the relationship between faces, edges, and vertices of polyhedrons

45-45-90 Triangles

30-60-90 Triangles

Sin, Cos, and Tan

(G.5.1)Students will Prove and Use Pythagorean theorem

(G.5.3)Students will use special right triangles

(G.5.4)Students will define and use the trigonometric functions

(G.5.6)Students will solve word problems involving right triangles

Parts of circles

Properties of tangents

Arcs and central angles

Arcs and Chords

Equations of Circles

(G..6.2)Students will define and identify relationships among: radius, diameter, arc, measure of an arc, chord, secant, and tangent

(G.6.4)Students will construct tangents to circles

Students will define and find the measure of arcs and related angles

(G.6.8)Students will find the equation of a circle in the coordinate plane in terms of its center and radius

Review for Semester Test

Take Semester test