Gifted and Talented Math
Mr. Schwab, Mr. Weiskind, and Mrs. Harvey
Quarter 4--- Stained Glass Design---Geometry
· Identify base and height of right, equilateral, scalene, isosceles, and obtuse triangles
· Use the formula ½ (base x height) to calculate the area of a triangle with whole number, fractional, and/or decimal dimensions
· Use triangles to compose and construct polygons such as squares, rectangles, parallelograms, trapezoids, and other polygons
· Deconstruct polygons into triangles and quadrilaterals
· Calculate area of polygons, (including trapezoids), using sides (length and width), bases, and height as related to triangles and quadrilaterals with whole number, fractional, and/or decimal dimensions
· Construct composite figures from triangular and rectangular sections
· Calculate the area of composite figures composed of triangular and rectangular sections with whole number, fractional, and/or decimal dimensions
· Determine the volume of a right rectangular prism with whole number, fractional, and decimal dimensions, by using appropriate unit cubes to “fill” the prism
· Understand that multiplication of edge lengths is the same as the number of unit cubes used to “fill” a right prism
· Apply the formula of length x width x height with whole number, fractional, and decimal dimensions
· Identify and apply the vocabulary for a circle
· Estimate the circumference and area of a circle by relating radius, diameter, and circumference to dimensions of polygons
· Discover, derive, and develop the relationships between and formulae for circumference and area of a circle
· Apply appropriate values of pi (π) as 3.14159… or 22/7
· Discover, derive, and apply formulae and procedures to determine the volume of cubes, right prisms, and composite right prisms with whole number, fractional, and/or decimal dimensions
· Discover, derive, and apply formulae and procedures to determine the volume of triangular prisms and prisms with other polygons for a base with whole number, fractional, and/or decimal dimensions
· Discover, derive, and apply formulae and procedures to determine the volume of pyramids with whole number, fractional, and/or decimal dimensions
· Discover, derive, and apply formulae and procedures to determine the volume of composite solids with whole number, fractional, and/or decimal dimensions
· Discover, derive, and apply formulae and procedures to determine the surface area of cubes, right prisms, and composite right prisms with whole number, fractional, and/or decimal dimensions
· Discover, derive, and apply formulae and procedures to determine the surface area of triangular prisms and prisms with other polygons for a base with whole number, fractional, and/or decimal dimensions
· Discover, derive, and apply formulae and procedures to determine the surface area of pyramids with whole number, fractional, and/or decimal dimensions
· Discover, derive, and apply formulae and procedures to determine the surface area of composite solids with whole number, fractional, and/or decimal dimensions
· Discover, derive, and apply relationships between supplementary, complementary, vertical, and adjacent angles to determine the measure of an identified angle in a figure
· Discover, derive, and apply relationships between angles of intersecting lines and figures to determine the measure of an identified angle in a figure
· Discover, derive, and apply relationships between interior and exterior angles of polygons to determine the measure of an identified angle in a figure
· Discover, derive, and apply formulae such as (# sides – 2) x 180 with regular polygons to determine the measure of an interior angle
Apply relationships and simple equations to determine the measure of an unknown angle in a figure
· Identify base and height of right, equilateral, scalene, isosceles, and obtuse triangles
· Use the formula ½ (base x height) to calculate the area of a triangle with whole number, fractional, and/or decimal dimensions
· Use triangles to compose and construct polygons such as squares, rectangles, parallelograms, trapezoids, and other polygons
· Deconstruct polygons into triangles and quadrilaterals
· Calculate area of polygons, (including trapezoids), using sides (length and width), bases, and height as related to triangles and quadrilaterals with whole number, fractional, and/or decimal dimensions
· Construct composite figures from triangular and rectangular sections
· Calculate the area of composite figures composed of triangular and rectangular sections with whole number, fractional, and/or decimal dimensions
· Determine the volume of a right rectangular prism with whole number, fractional, and decimal dimensions, by using appropriate unit cubes to “fill” the prism
· Understand that multiplication of edge lengths is the same as the number of unit cubes used to “fill” a right prism
· Apply the formula of length x width x height with whole number, fractional, and decimal dimensions
· Identify and apply the vocabulary for a circle
· Estimate the circumference and area of a circle by relating radius, diameter, and circumference to dimensions of polygons
· Discover, derive, and develop the relationships between and formulae for circumference and area of a circle
· Apply appropriate values of pi (π) as 3.14159… or 22/7
· Discover, derive, and apply formulae and procedures to determine the volume of cubes, right prisms, and composite right prisms with whole number, fractional, and/or decimal dimensions
· Discover, derive, and apply formulae and procedures to determine the volume of triangular prisms and prisms with other polygons for a base with whole number, fractional, and/or decimal dimensions
· Discover, derive, and apply formulae and procedures to determine the volume of pyramids with whole number, fractional, and/or decimal dimensions
· Discover, derive, and apply formulae and procedures to determine the volume of composite solids with whole number, fractional, and/or decimal dimensions
· Discover, derive, and apply formulae and procedures to determine the surface area of cubes, right prisms, and composite right prisms with whole number, fractional, and/or decimal dimensions
· Discover, derive, and apply formulae and procedures to determine the surface area of triangular prisms and prisms with other polygons for a base with whole number, fractional, and/or decimal dimensions
· Discover, derive, and apply formulae and procedures to determine the surface area of pyramids with whole number, fractional, and/or decimal dimensions
· Discover, derive, and apply formulae and procedures to determine the surface area of composite solids with whole number, fractional, and/or decimal dimensions
· Discover, derive, and apply relationships between supplementary, complementary, vertical, and adjacent angles to determine the measure of an identified angle in a figure
· Discover, derive, and apply relationships between angles of intersecting lines and figures to determine the measure of an identified angle in a figure
· Discover, derive, and apply relationships between interior and exterior angles of polygons to determine the measure of an identified angle in a figure
· Discover, derive, and apply formulae such as (# sides – 2) x 180 with regular polygons to determine the measure of an interior angle
Apply relationships and simple equations to determine the measure of an unknown angle in a figure