# GEOMETRY LESSON PLAN

## THIRD NINE WEEKS

**WEEK 1**

**RATIOS, PROPORTION, SIMILARITY**

RATIOS, PROPORTIONS

Simplify ratios : rational #s, irrational #s, using
geometric figures

Identify, solve proportions .

Use similar figures to solve word problems

Use coordinates in similar figures

**WEEK 2**

**RATIOS, PROPORTION, SIMILARITY**

SIMILAR FIGURES

Identify similar triangles

Problem solving involving similar triangles

Identify other similar figures

Coordinates used in similar polygons

Area and perimeter compared in similar polygons

**WEEK 3**

**RIGHT TRIANGLES**

ALGEBRA REVIEW OF RADICALS

Simplify radicals

Calculator use of radicals

Equations containing squares; quadratic equations

GEOMETRIC MEAN

Compare algebraic mean to geometric mean

Set up proportions in right triangles using geometric mean

Use geometric mean relationships in right triangles with algebraic expressions

**WEEK 4**

**RIGHT TRIANGLES**

PYTHAGOREAN THEOREM AND ITS CONVERSE

Identify parts of the right triangle

State and apply the Pythagorean Theorem in right triangles

Apply the converse of the Pythagorean Theorem to determine the type

of triangle that could be formed.

**WEEK 5**

**RIGHT TRIANGLES**

SPECIAL RIGHT TRIANGLES

Use 30-60-90 and 45-45-90 right triangles to find missing
sides.

Find area, perimeter of triangles and quadrilaterals using the special right
triangles.

**WEEK 6**

**RIGHT TRIANGLES**

TRIG FUNCTIONS

State ratios of sin , cos, tan

Use the trig functions to find missing sides or angles

Apply the trig functions in problem solving

Fly kites: Use trig functions in finding height. (OPTIONAL)

**WEEK 7**

**CIRCLES**

IDENTIFY, MEASURES OF PARTS OF CIRCLES

Name parts of circles: chords, tangents, radius, diameter,
secant, point of tangency, major arcs, minor arcs,

semicircles.

Name and find the measures of angles in circles.

Find the area and circumference of circles.

Find the lengths of segments in a circle.

Apply algebraic equations in determining the measures of lengths and angles

**WEEK 8**

**CIRCLES**

EQUATIONS OF CIRCLE

Write the equations of circles given its radius length and
center point.

Graph circles on a coordinate plane.

State the center and radius of a circle if given the equation.

Circle drawing: Art project: (OPTIONAL)

**WEEK 9**

**RIGHT TRIANGLES**

**CIRCLES**

Review and Exam

## FOURTH NINE WEEKS

**WEEK 1**

**COORDINATE GEOMETRY**

COORDINATE REVIEW

Slope, distance, and midpoint formulas

Graphing points, reading the coordinates of points from a graph.

Solving an equation for y.

**WEEK 2**

**COORDINATE GEOMETRY**

Identify equations as constant, linear, quadratic

Forms of linear equations : slope – intercept, point – slope, standard.

Graph equations using the charts on the graphing calculator.

Graph equations using the x and y intercepts on the graphing calculator

Graph equations using slope – intercept form.

Write the equations of lines in all forms.

Find the point of intersection of lines using the graphing calculator

**WEEK 3**

**COORDINATE GEOMETRY**

COORDINATE PROOFS: (OPTIONAL)

Place a figure on the coordinate plane

Label the vertices of the figure using the fewest possible variables.

Apply the formulas for slope , distance, and midpoint to find congruent sides,
parallel or perpendicular

sides. Organize data

Draw conclusions based on the definitions of the figures, or their properties .

**WEEK 4**

**POLYGONS, CIRCLES**

AREA IN POLYGONS AND CIRCLES

Identify and use special right triangles to find the
length of segments in polygons.

Find the area of regular polygons using the formula.

**WEEK 5**

**POLYGONS, CIRCLES**

Use problem solving involving lengths of arcs or areas in
polygons.

Determine the areas of sectors and segments in circles.

**WEEK 6**

**SOLID GEOMETRY**

PRISMS, CYLINDERS

State the names of all faces and solids.

Find the Perimeter and Area of a base in a prism.

Find the Circumference and Area of a base in a cylinder.

Find Lateral Areas and Total Surface Areas in prisms and cylinders

Find the Volume of prisms and cylinders.

**WEEK 7**

**SOLID GEOMETRY**

CONES, PYRAMIDS, SPHERES

State the names of all faces, heights, and solids.

Find the area and perimeter of the base in pyramids and cones.

Apply special right triangles in finding the missing segments in pyramids and
cones.

Find the Lateral Area and Total Surface Area of pyramids and cones.

Find the Volume of pyramids and cones.

Find the Total Surface Area and Volume of spheres.

**WEEK 8**

**SOLID GEOMETRY**

CONSTRUCTION OF A SOLID: (OPTIONAL)

a.) Design a net pattern that could be used to construct
the solids.

b.) Construct regular polygons using circles, central angles, etc to form
templates.

Regular polyhedral, truncated polyhedral

Draw the net pattern on poster paper using the templates, rulers , compasses

Decorate the net design using geometrical patterns.

Cut and score the net pattern.

Glue the net pattern into a solid.

ISOMETRIC DRAWING: (OPTIONAL)

Stack blocks into a design.

Draw the view of the following faces of the design: front face, right face, left
face, rear view.

Draws the design on isometric dot paper showing a three-dimensional view ( the
isometric view ).

**WEEK 9**

**COORDINATE GEOMETRY**

**POLYGONS, CIRCLES**

**SOLID GEOMETRY**

Review and Exams

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