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#### Geometry Parallel Perpendicular, and Transversal Lines

Geometry Parallel Perpendicular, and Transversal Lines - 13 day full lessons includes lesson plans, worksheets, activities, smart notebook files, ppt, assessments, and answer key The student will be able to: Derive the slope formula Use the slope formula to verify if given lines are parallel or perpendicular Investigate relationships among parallel and perpendicular lines, rays, or segments and form conjectures (Ex. Parallel lines have equal slopes). Use the coordinate plane to explore slopes of lines which are parallel, perpendicular, or neither. Determine if 2 lines are parallel, perpendicular, or neither given their graphs, equations or verbal descriptions. Write the equation of a line that is parallel or perpendicular to a given line. Use the point-slope form to write a linear equation. Use the slope-intercept form to write a linear equation. Determine the slope of the given line written in the slope-intercept form of an equation. Determine the slope of the given line written in the standard form of a linear equation. Determine the slope of the given line from a graph Define parallel and perpendicular lines. Identify parallel and perpendicular lines from a diagram or verbal description. Draw a diagram of parallel or perpendicular lines, label accurately and use symbols of . Make connections between linear pair, vertical angles, and the application of these terms in the development of the parallel lines cut with transversal angle relationships. Give examples and non-examples of each vocabulary term. Find missing measures of angles formed by parallel lines cut by a transversal. Solve problems using properties and attributes of angles. Write and verify conditional statements about parallel lines intersected by a transversal (Ex. If 2 lines intersected by a transversal are parallel, then alternate interior angles are congruent). Write conjectures about parallel and perpendicular lines (Ex. If two lines are perpendicular to the same line, then they are parallel to each other). Write and verify the converse of conditionals regarding parallel and perpendicular lines. Solve problems using properties and attributes of angles. Construct congruent angles to discover that the lines are parallel. Identify special pairs of angles formed by two lines and a transversal.
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#### Geometry - Circles

5 day full lessons includes lesson plans, worksheets, activities, smart notebook files, ppt, assessments, and answer key Activities, Interactive Whiteboard
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#### Geometry Polygons

An 18+ page introduction to Polygons: includes definitions, formulas, examples, exercises, and practice test. Topics include n-gons, diagonals, external and internal angle measures, convex vs concave, and more. Visit the mathplane.com or .org site to sample or view additional topics. Download this packet and contribute to TES and the mathplane sites. Thanks in advance for your support!
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#### Kindergarten Geometry

The student will be able to apply mathematical process standards to analyze attributes of two-dimensional shapes and three-dimensional solids to develop generalizations about their properties. identify two-dimensional shapes, including circles, triangles, rectangles, and squares as special rectangles; identify three-dimensional solids, including cylinders, cones, spheres, and cubes, in the real world; identify two-dimensional components of three-dimensional objects; identify attributes of two-dimensional shapes using informal and formal geometric language interchangeably; classify and sort a variety of regular and irregular two- and three-dimensional figures regardless of orientation or size; and create two-dimensional shapes using a variety of materials and drawings. Activities, Minilessons, Math Centers
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#### Geometry Triangles

Geometry Triangles - 12 day full lessons includes lesson plans, worksheets, activities, smart notebook files, ppt, assessments, and answer key The student will be able to: Translate, reflect, rotate, and dilate a triangle on and off the coordinate plane. Use transformations to discover geometric relationships involving triangles and their angles and segments. Use transformations to verify and prove geometric properties of triangles. Identify the parts of a triangle. Draw diagrams of various triangles and accurately label known properties of the triangle. Label a triangle on a diagram, name it. Classify polygons by their number of sides. Make connection that an equilateral triangle is a regular polygon. Classify triangles by By angles By sides By angles and side Identify the special segments of a triangle from a diagram. Explain the interrelatedness of postulates and theorems involving triangles. Give examples and non-examples of each vocabulary term Write definitions, postulates, and theorems as conditional (if-then) statements and determine their validity. Identify the hypothesis and conclusion of a conditional. Write and identify the converse of a conditional and determine its validity. Make and verify conjectures regarding terms such as equilateral triangles, isosceles triangles, midsegments of triangles, altitudes of triangles. etc. Provide counterexamples in various forms: Dagram/Sketch Verbal/Written Statement Algebraic representation Select the most appropriate counterexample from a group of possible counterexamples to verify that a conjecture is false. Justify the selection of the counterexample Ex: if four points are on a plane, then they define a quadrilateral Compare and contrast Euclidean and non-Euclidean geometries in order to emphasize the importance of precise definitions and application of postulates. Explain why the sum of degrees of the angles in a triangle are 1800 in Euclidean geometry, but will be greater than 180 degrees in spherical geometry. It also will not exceed 540° Perform basic constructions involving angles and triangles, including constructing an equilateral triangle. Use constructions to verify postulates about triangles. Geometer’s Sketchpad Concrete models such as patty paper Compass and straightedge Define and construct special segments (median, altitude, bisectors, midsegment) of angles and triangles. Worksheets, Activities, Interactive Whiteboard
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#### Geometry Angles

Geometry Angles - 12 day full lessons includes lesson plans, worksheets, activities, smart notebook files, ppt, assessments, and answer key The student will be able to: Translate a given point, line segment or ray using coordinate notation or verbal descriptions. Reflect a given point, line segment or ray over either axis, a given point given coordinate notation or verbal descriptions Rotate a given point, line segment or ray. Use transformations to make conjectures about geometric relationships. Identify the parts of an angle. Represent angles in a diagram to facilitate mathematical communication of concepts Label Name Classify Classify angles based on their attributes. Acute, obtuse, right Complementary, supplementary Linear pair (i.e. angles forming a “straight angle”) Vertical angles Adjacent angles Explain the linear pair theorem. Explain how angle addition is used in defining supplementary and complementary angles. Give examples and non-examples of each vocabulary term. Write definitions, postulates, and theorems about angle relationships as conditional (if-then) statements and determine their validity. Identify the hypothesis and conclusion of a conditional. Write and identify the converse and inverse of a conditional and determine its validity. If two angles form a linear pair then they are supplementary. If two angles are supplementary then they are a linear pair.
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#### Geometry Chain Letters

12 geometry exercises, each composed of 5 brief math questions. Designed to review a variety of geometry topics, including polygons, circles, volume, similarity, Pythagorean Theorem, and more. **Sample one of the puzzles at the mathplane site. Download the product file and support TES and mathplane. Thanks!
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#### Geometry Vocabulary Dominoes

This math center is a great way for students to practice math vocabulary! It has 15 geometry Latin and Greek vocabulary roots. Roots included are: tri, deca, septa, lat, gon, penta, octa, poly, quad, hendeca, metry, nona, geo, dodeca, hexa, and vert. These activities are ideal for math stations, individual or group work. Use the included interactive notebook page as part of your INB activities. • The dominoes can be printed double sided with the vocabulary on one side and the skill name on the other for ease of organizing and sorting. • I suggest printing on colored paper and laminating the domino pieces for durability. •Interactive notebook page included, dominoes are pre-mixed up so students can cut them out and not know the answers. •Answer sheet included. I always get a cheer when these come out, definite class favorites!
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Geometry Advanced Trasformations - 10 day full lessons includes lesson plans, worksheets, activities, smart notebook files, ppt, assessments, and answer key I use Geometer's Sketchpad for this lesson The student will be able to: For a pair of points, both on a number line (1D) and the coordinate plane (2D), find a point that is a fractional distance between two points (, , etc.). Given with A at the origin, then the point P which is of the way from A to B(x, y) is . Given with A(c,d) not at the origin, then the point P which is of the way from A to B(x, y) is . Use a similar triangle model to verify the transformation rule. Point P is a dilation of B with center A. Draw the reflection, translation, or rotation of a figure using a variety of methods (coordinate plane, patty paper, Geometer’s Sketchpad). Translations Concept of Rule: (x, y)®(x+h, y+k) Verbal description: vertical/horizontal shifts Reflections Draw reflection over any line (NEW) Recognize/draw the line of reflection between a figure and its image given the graph. Concept of Rules Across the x-axis: (x,y)®(x,-y) Across the y-axis: (x,y)®(-x,y) Across y = x: (x,y)®(y,x) Dilations Enlargement: (3x, 3y) Reduction: Dilation with center of dilation at the origin Rotations (NEW) Clockwise and counterclockwise 90°, 180°, 270° Concept of Rules ( for multiples of 90) Ex. 90°: (x,y) ®(-y,x) Compare non-rigid, proportional transformations to non-rigid, non-proportional transformations (x,y)®(2x,2y) (x,y)®(2x,3y) (x,y)®(2+x,2-y) Determine and describe the relationship that exists between an image, its pre-image and the: Line of reflection Center of dilation Center of rotation Determine and describe the line of reflection of an image and a pre-image (on and off the coordinate grid). Determine and describe the angle of rotation of an image and pre-image (on and off the coordinate grid) Determine and describe the center of rotation of an image and pre-image (on and off the coordinate grid) when given 2 or more image points and their corresponding pre-image. Determine and describe the center of dilation by finding the intersections of the lines passing through a point and its image (on and off the coordinate grid) when given at least two points in the image and pre-image Determine the Image or Pre-image for a composition of transformations on a given two-dimensional figure. Two or more rigid transformations Two or more non-rigid transformations A composition of both rigid and non-rigid Include dilations where the center can be any point in the plane.
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#### Geometry Right Triangles

Geometry Right Triangles - 18 day full lessons includes lesson plans, worksheets, activities, smart notebook files, ppt, assessments, and answer key The student will be able to: Define and identify right triangles, scalene right, and isosceles right triangles. Make conjectures while investigating right triangles. Recognize and use theorems about right triangles: Pythagorean Theorem Special right triangles Geometric mean Write the inverse/converse/contrapositive of a conditional statement about right triangles and determine its validity. Identify the inverse/converse/contrapositive of a conditional statement about right triangles from a given set of statements. Write a biconditional statement about right triangles and determine its validity. Derive/verify the Pythagorean Theorem using a variety of methods. Distance formula Area of squares Patty paper Geometer’s Sketchpad or Geogebra Write a proof of the Pythagorean Theorem. Solve problems involving the use of the Pythagorean Theorem. Develop/verify the sine, cosine, and tangent ratios for right triangles in a variety of ways. Measure sides of similar triangles and angles. Use coordinate plane. Geometer’s Sketchpad or Geogebra Use sine, cosine, and tangent ratios to find lengths of missing sides and/or measures of missing angles in right triangles, estimating when necessary. Use sine, cosine, and tangent ratios to solve real-life application problems. Angles of elevation and depression Engineering/surveying Construction Identify the patterns found in the side lengths of special right triangles. Use special right triangle relationships to find missing sides of 30-60-90 and 45-45-90 triangles, approximating values when necessary. Estimate the value of radicals Simplify basic radical expressions Optional: Rationalize denominators Use the Pythagorean Theorem to find the missing sides of a right triangle. Use the Pythagorean Theorem to classify a triangle as acute, right, or obtuse. Determine whether or not a triangle is a right triangle when given the side lengths. Use the Pythagorean Theorem to solve real-life problems involving right triangles. Convert measurements to a consistent unit of measure both within the same measurement system and between measurement systems. Worksheets, Activities, Interactive Whiteboard
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#### Geometry Points Lines & Planes

Geometry Points Lines &amp; Planes - 16 day full lessons includes lesson plans, worksheets, activities, smart notebook files, ppt, assessments, and answer key The student will be able to: * understand the connections between algebra and geometry and uses the one- and two-dimensional coordinate systems to verify geometric conjectures. *determine the coordinates of a point that is a given fractional distance less than one from one end of a line segment to the other in one- and two- dimensional coordinate systems, including finding the midpoint. *process skills to understand the connections between algebra and geometry and uses the one- and two-dimensional coordinate systems to verify geometric conjectures. *derive and use the distance, slope, and midpoint formulas to verify geometric relationships, including congruence of segments [and parallelism or perpendicularity of pairs of lines Lesson Plans (Bundled), Activities, Interactive Whiteboard
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#### Geometry Rocks-bulletin board

This is a group of quotes about geometry. I have also posted a free rock border, if you would like one. It is a jpeg and can be inserted on either letter and legal size paper.
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#### Design Santa's Sleigh with Geometry & Measure

This math project is a fun way for the children to practice their skills with geometry and critical thinking as they follow the instructions on the differentiated task cards to design their own sleigh for Santa. Using the Ask – Plan – Think – Design -strategy of the design process, the children will look at various forms of travel, including different types of sleigh. This can be done independently or in small, cooperative groups. They will then use their knowledge of geometry to plan their own design for Santa. The rigour comes when they HAVE to include various forms of geometry into their design. Included: Lines Rays Angles Intersecting lines Parallel lines Etc. You could of course, add in other geometrical aspects as you wish to suit your class’ needs. It is quick and easy for you to prepare and will take up 2-3 math periods to complete. You can find more inquiry based activities in my store and on my blog. Enjoy! And have a fabulous Christmas! Susan Powers www.PYPteachingtools.com
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#### Back to School Geometry Worksheets and Activity

This Back to School geometry math packet includes a study guide, worksheets, lessons, assessments, and great diagrams for assorted topics in geometry. With this bundle I have added Area, Perimeter, Volume, and Measurement The study guides include discussion of slope, graphing coordinates (graphing equations for the advanced learner), patterns, pi, and area and circumference of a circle. The worksheets follow along with each topic. Included is a special bonus-Geometry fun cards with MLB team logos on each card can be used as flash cards, geometry game or as an assessment of understanding of diameter, radius and chord. It's a great and productive activity that you can use for years and years when you laminate the cards. This is a great plan for the visual learner. You’ll find tons of fun math products in My Shop.
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#### Geometry - 2 and 3 Dimensional Figures

2 and 3 Dimensional Figures - 23 day full lessons includes lesson plans, worksheets, activities, smart notebook files, ppt, assessments, and answer key Use a counterexample to disprove a false conjecture/statement about points, lines or planes. Provide counterexamples in various forms: Diagram/Sketch Verbal/Written Statement Algebraic representation Justify the selection of the counterexample. Use trigonometric ratios to find lengths of sides in order to calculate perimeter and area of triangles, quadrilaterals and other polygons. Use trigonometric ratios to solve mathematical and real life problems involving perimeter and area of triangles, quadrilaterals and other polygons. Use the relationships in special right triangles and the Pythagorean Theorem to help calculate the perimeter and area of triangles, quadrilaterals and other polygons. Use relationships in special right triangles and the Pythagorean Theorem to solve mathematical and real life problems involving triangles, quadrilaterals and other polygons. Convert measurements to a consistent unit of measure both within the same measurement system and between measurement systems. Make algebraic connections between the parts of a regular polygon (apothem, radius, sides) to the area and perimeter. Find area of regular polygons to solve problems, including: Problems to solve for the apothem or radius. Problems involving right triangle relationships (trig ratios, special right or Pythagorean triples or Theorem to solve) Composite figures Identify the 2-D figure created by a cross-section of a 3-D figure. Identify the 3-D object generated by rotations of a two-dimensional shape. Limit to simple 3D shapes (cone, cylinder, sphere) Find the volume in problem situations involving cubes, prisms, pyramids, cylinders, cones, spheres, and composite figures. Determine missing measures (radius, height, etc.) of a 3D figure given its volume and other dimensions or measurements. Choose the appropriate formula(s) or strategy for finding the volume of a 3D figure. Use the Pythagorean Theorem, patterns of special right triangles, and/or properties and attributes of polygons when necessary to find missing measurements needed to solve a volume problem.
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