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❶Geometric Nets Nets of solids: Advanced Complementary and Supplementary Angles

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Area of Shaded Region How to calculate the area of shaded regions involving polygons and circles. Circles Diameter, chord, radius, arc, semicircle, minor arc, major arc, tangent, secant, circumference, area, sector. Circumference of circle Find pi, Formula for circumference of circle, Find circumference, Find radius, diameter and area when given circumference. Area of circle Formula for area of circle, Find area, Find radius, diameter and circumference when given area.

Area of Sector Area of a sector formula in degrees and radians, area of segment. Degrees and Radians Measure angles in degrees, minutes and seconds, Convert to decimal notation, Add and subtract angles, Measure angles in radians, Convert between degrees and radians. Arc Length of Circle in Radians Formula for arc length when arc measure is in radians, Solving problems using arc length formula.

Chords of a Circle Perpendicular bisector of a chord passes through the center of a circle, Congruent chords are equidistant from the center of a circle, If two chords in a circle are congruent, then their intercepted arcs are congruent, If two chords in a circle are congruent, then they determine two central angles that are congruent.

Angles and Intercepted Arcs Formulas relating the angles and the intercepted arcs of circles. Measure of a central angle.

Measure of an inscribed angle angle with its vertex on the circle Measure of an angle with vertex inside a circle. Measure of an angle with vertex outside a circle. The Bow Theorem Inscibed angles subtended by the same arc or chord are equal. Alternate Segment Theorem An angle between a tangent and a chord through the point of contact is equal to the angle in the alternate segment.

Quadrilaterals in a Circle Cyclic Quadrilateral, the opposite angles of a cyclic quadrilateral are supplementary, the exterior angle of a cyclic quadrilateral is equal to the interior opposite angle. Angles in a Circle A review and summary of the properties of angles that can be formed in a circle and their theorems.

Volume and Surface Area of Solids Volume and surface area of cubes, cuboids, prisms, cylinders, spheres, cones, pyramids. Volume of Cubes What is volume, how to find the volume of a cube, how to solve word problems about cubes, nets of a cube.

Volume of Rectangular Prisms How to find the volume of a rectangular prism, how to solve word problems about rectangular prisms. Volume of Prisms What is a prism, how to find the volume of prisms, how to solve word problems about prisms.

Volume of Cylinders How to find the volume of cylinders, how to find the volume of hollow cylinders or tubes, how to solve problems about cylinders. Volume of Spheres How to find the volume of a sphere, how to find the volume of a hemisphere, how to prove the formula for the volume of a sphere. Volume of Cones What is a cone, how to calculate the volume of a cone, how to solve word problems about cones, how to prove the formula of the volume of a cone.

Volume of Pyramids What is a pyramid, how to find the volume of a pyramid, how to solve word problems about pyramids, the relationship between the volume of a pyramid and the volume of a prism with the same base and height.

Surface Area of a Cube How to calculate the surface area of a cube, how to find the length of a cube given the surface area, nets of a cube. Surface Area of a Cuboid How to calculate the surface area of a cuboid, how to solve word problems about cuboids, nets of a cuboid. Surface Area of a Prism Calculate the surface area of prisms: Surface Area of a Cylinder Calculate the surface area of solid cylinders, calculate the surface area of hollow cylinders, solve word problems about cylinders, calculate the surface area of cylinders using nets.

Surface Area of a Cone Calculate the surface area of a cone when given the slant height, calculate the surface area of a cone when not given the slant height, solve word problems about cones, derive the formula for the surface area of a cone. Surface Area of a Sphere Calculate the surface area of a sphere, calculate the surface area of a hemisphere, solve problems about surface area of spheres, prove the formula of the surface area of a sphere.

Surface Area of a Pyramid Find the surface area of any pyramid, find the surface area of a regular pyramid, find the surface area of a square pyramid, find the surface area of a pyramid when the slant height is not given.

Geometric Nets Nets of solids: Surface Area of Solids Using nets to calculate the surface area of solids: Gives the area formula for square, rectangle, parallelogram. Gives the surface area formula for cube, cuboid, prism, solid cylinder, hollow cylinder, cone, pyramid, sphere and hemisphere. Gives the volume formula for cube, cuboid, prism, solid cylinder, hollow cylinder, cone, pyramid, sphere and hemisphere. Summary of shapes and formulas Describes the common geometrical shapes and the formulas to calculate their area and perimeter.

It also includes the use of the Pythagorean Theorem and Heron's formula. Slope of a Line Slope of line from the graph rise over run , using the slope formula, negative slope, y-intercept. Equation of a Line The slope-intercept form for the equation of a line, how to write equations in slope-intercept form, how to write equations of horizontal and vertical lines, how to get the equation of a line given two points on the line. Forms of Linear Equations The slope-intercept form, the point-slope form, the general form, the standard form, how to convert between the different forms of linear equations.

Graphing Linear Equations How to graph linear equations by plotting points, how to graph linear equations by finding the x -intercept and y -intercept, how to graph linear equations using the slope and y -intercept. Slope and Intercept of a Linear Equation How to graph a linear equation when the equation is given in slope-intercept form or when the equation is given in general form. Explore the straight line graph Activity to investigate how the change of the slope and y -intercept can affect the straight line graph.

Equation of a Line Parallel to the X-axis or Y-axis. Similarity Word Problems Simplifying Square Roots Multiplying Square Roots Root 10 times Root 15 Root 11 Squared Dividing Square Roots Root 7 over Root 32 Root 48 over Root Adding and Subtracting Square Roots Pythagorean Theorem Word Problems Converse of the Pythagorean Theorem Roots as Sides Advanced and Degree Triangles Sine, Cosine, and Tangent Sine, Cosine, and Tangent with a Calculator Trigonometry Word Problems Arcs and Central Angles Arcs and Chords Advanced Arcs and Chords Angles Formed by Chords, Secants, and Tangents Circle Segment Lengths Advanced Circle Segment Lengths Area of Rectangles and Squares Advanced Area of Rectangles and Squares If the Area is….

If the Area is … Area of Parallelograms Area of Triangles Find Area of One of Triangles. Area of Rhombuses Area of Trapezoids Area of Regular Polygons Area and Circumference of Circles Area and Volume of Prisms Advanced Area and Volume of Prisms Area and Volume of Pyramids Advanced Area and Volume of Pyramids Area and Volume of Cylinders and Cones Area and Volume of Spheres If you need assistance please contact support mathhelp.

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