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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

LINEAR EQUATIONS

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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