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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