MrStanislow - All Circle Videos
01) G.C.A.2
Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.
Videos:
Central Angles
Inscribed Angles
Circles - Secant - Secant Angles
Circles - Tangent - Secant Segments
Circles - Tangent - Tangent Angles
Circles - Tangent - Secant Angles
Circles - Tangent - Chord Angles
Notes
Item 01
Item 02
Item 03
02) G.C.B.4
Know the formula and find the area of a sector of a circle in a real-world context.
Videos:
Circles - Sector Area
Circles - Sector Area 2
Practice:
Area of a sector (practice) | Sectors | Khan Academy
IXL - Area of sectors (Geometry practice)
Quiz & Worksheet - Practice Finding the Area of a Sector | Study.com
Extra:
Area of a Sector in a Circle Worksheet | Problems & Solutions
03) G.CO.C.11
Prove theorems about parallelograms.
Proving includes, but is not limited to, completing partial proofs; constructing two-column or paragraph proofs; using transformations to prove theorems; analyzing proofs; and critiquing completed proofs.
Theorems include but are not limited to: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals.
Parallelogram Theorems Overview
Proving a Quadrilateral is a Parallelogram: Examples
Parallelograms 4 Theorems
04) G.GMD.A.1
Give an informal argument for the formulas for the circumference of a circle and the volume and surface area of a cylinder, cone, prism, and pyramid.
Video:
Introduction to Circles - radius, diameter, circumference and area of a circle
Multiple Practice PDFs:
Circumference and Area of Circle Worksheets
Circumference and Area Practice Problems
Videos:
Volume & Surface Area of a Cylinder
Volume and Surface Area of Prisms
Volume and Surface Area of Cones
Multiple Generated Worksheets
Geometry Worksheets | Surface Area & Volume Worksheets
Surface Area and Volume - Prisms, Cyl, Pyramids
Surface Area and Vol Pyramids and Cones
05) G.GPE.A.1
Know and write the equation of a circle of given center and radius using the Pythagorean Theorem.
Equation for a circle using the Pythagorean Theorem | Circles | Geometry | Khan Academy
Practice:
Features of a circle from its standard equation | Analytic geometry (practice) | Khan Academy
Circle Equation Practice - MathBitsNotebook(Geo - CCSS Math)
Problems:
Graphing with Center/Radius Form
Graphing and Properties of Circles
Center/Radius Quiz
06) G.MG.A.2
Apply geometric methods to solve real-world problems.
Geometric methods may include but are not limited to using geometric shapes, the probability of a shaded region, density, and design problems.
Video:
Density Practice Problems
Find the Area of the Shaded Region
Area of Shaded Region Concentric Circles
Worked Practice Problems:
Finding Areas of Shaded Regions between Polygons & Circles
Practice:
Shaded areas (practice) | Area | Khan Academy
Worksheets:
Area of shaded Region
07) G.CO.A.5
Given a geometric figure and a rigid motion, draw the image of the figure in multiple ways, including technology. Specify a sequence of rigid motions that will carry a given figure onto another.
Rotations 1A
Work Problems from page 1 together, finish page 2 in your groups.
Reflections 1A
Work Problems from page 1 together, finish page 2 in your groups.
Translations 1A
Work Problems from page 1 together, finish page 2 in your groups.
G.C.O.A.5 Resource.
G.CO.B.6
Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to determine informally if they are congruent.
Properties of Transformations 1
Work problems with students and then they finish in groups.
Properties of Transformations 2
Work problems with students and then they finish in groups.
Geometry Resources
08) G.SRT.B.4
Prove theorems about similar triangles.
Proving includes, but is not limited to, completing partial proofs; constructing two-column or paragraph proofs; using transformations to prove theorems; analyzing proofs; and critiquing completed proofs.
Theorems include but are not limited to: a line parallel to one side of a triangle divides the other two proportionally, and conversely; the Pythagorean Theorem proved using triangle similarity.
G.SRT.B.5
Use congruence and similarity criteria for triangles to solve problems and to justify relationships in geometric figures.
09) G.SRT.A.1
Verify informally the properties of dilations given by a center and a scale factor.
Properties include but are not limited to: a dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center of the dilation unchanged; the dilation of a line segment is longer or shorter in the ratio given by the scale factor.
Video:
How Do I Dilate a Figure? | Common Core Geometry Transformations
Video 6 Dilations Not Centered at the Origin
Text; p.579- 581
Work (4-13) p.582
G.SRT.A.2
Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides.
Introduction to Similar Polygons and Similar Triangles
Missing Measurements for Similar Triangles
Problems:
Similar Figures - Missing Sides, etc.
Similar Triangles
Text, p. 603 - 605
Work (5-16) p.606
