GEOMETRY LESSON PLAN
THIRD NINE WEEKS
RATIOS, PROPORTION, SIMILARITY
RATIOS, PROPORTION, SIMILARITY
Identify similar triangles
Problem solving involving similar triangles
Identify other similar figures
Coordinates used in similar polygons
Area and perimeter compared in similar polygons
ALGEBRA REVIEW OF RADICALS
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.
SPECIAL RIGHT TRIANGLES
Use 30-60-90 and 45-45-90 right triangles to find missing
Find area, perimeter of triangles and quadrilaterals using the special right triangles.
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)
IDENTIFY, MEASURES OF PARTS OF CIRCLES
Name parts of circles: chords, tangents, radius, diameter,
secant, point of tangency, major arcs, minor arcs,
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
EQUATIONS OF CIRCLE
Write the equations of circles given its radius length and
Graph circles on a coordinate plane.
State the center and radius of a circle if given the equation.
Circle drawing: Art project: (OPTIONAL)
Review and Exam
FOURTH NINE WEEKS
Slope, distance, and midpoint formulas
Graphing points, reading the coordinates of points from a graph.
Solving an equation for y.
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
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 .
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.
Use problem solving involving lengths of arcs or areas in
Determine the areas of sectors and segments in circles.
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.
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.
CONSTRUCTION OF A SOLID: (OPTIONAL)
a.) Design a net pattern that could be used to construct
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 ).
Review and Exams