Unit Goals Stage 1. Number of Days: 14 days 1/29/18-2/16/18
|
|
- Bryce Doyle
- 6 years ago
- Views:
Transcription
1 Number of : 14 1/29/18-2/16/18 Unit Goals Stage 1 Unit Description: Drawing on our knowledge of the definitions of special quadrilaterals and a few of their properties, students will now prove those properties using a variety of proof formats: transformational, analytical, synthetic and paragraph. Students will begin this unit by deriving formulas for the sum of the interior angles in a polygon and the sum of the exterior angles in a polygon. Drawing on our knowledge of triangle congruence from Unit 2, students will now apply that knowledge to proofs involving quadrilaterals. Our family of special quadrilaterals includes parallelograms, rectangles, rhombi, squares, kites, trapezoids and isosceles trapezoids. Materials: Patty paper, rulers, compasses, protractors Standards for Mathematical Practice SMP 1 Make sense of problems and persevere in solving them. SMP 2 Reason abstractly and quantitatively. SMP 3 Construct viable arguments and critique the reasoning of others. SMP 4 SMP 5 SMP 6 SMP 7 SMP 8 Model with mathematics. Use appropriate tools strategically. Attend to precision. Look for and make use of structure. Look for and express regularity in repeated reasoning. Standards for Mathematical Content Clusters Addressed [m] G-CO.C Prove geometric theorems [m] G-SRT.B Prove theorems involving similarity. [m] G-MG.A Apply geometric concepts in modeling situations. Transfer Goals Students will be able to independently use their learning to Make sense of never-before-seen problems and persevere in solving them. Construct viable arguments and critique the reasoning of others. UNDERSTANDINGS Students will understand that Triangle congruence criteria can be used to prove properties of parallelograms. Simple theorems about coordinates, angles, segments and slope can be used to prove the properties of the subsets of polygons. Coordinates can be used to prove relationships between the lines and angles of quadrilaterals on a coordinate grid. KNOWLEDGE Students will know Properties of a parallelogram and its subsets of quadrilaterals. Properties of trapezoids and kites. Properties of diagonals and opposite angles of quadrilaterals. Making Meaning ESSENTIAL QUESTIONS Students will keep considering How can the properties of a triangle be used to prove the properties of a quadrilateral? What properties of a quadrilateral can you use to identify its shape precisely? How are properties of geometric figures related to their measurable attributes? How does graphing a quadrilateral on a coordinate plane help to identify its shape precisely? Acquisition SKILLS Students will be skilled at and/or be able to Find and use interior and exterior angle measures of polygons. Use properties of parallelograms and special parallelograms to find side lengths and angles. Use the coordinate plane to identify quadrilaterals and solve for their properties. Identify and verify that a quadrilateral is a parallelogram Identify and use properties of trapezoids and kites Posted 12/20/17
2 Assessed Grade Level Standards Standards for Mathematical Practice SMP 1 Make sense of problems and persevere in solving them. SMP 2 Reason abstractly and quantitatively. SMP 3 Construct viable arguments and critique the reasoning of others. SMP 4 Model with mathematics. SMP 5 Use appropriate tools strategically. SMP 6 Attend to precision. SMP 7 Look for and make use of structure. SMP 8 Look for and express regularity in repeated reasoning. Standards for Mathematical Content [m] G-CO.C G-CO.11 [m] G-SRT.B G-SRT.5 [m] G-MG.A G-MG.1 G-MG.3 Prove geometric theorems. [Focus on validity of underlying reasoning while using variety of ways of writing proofs] Prove theorems about parallelograms. Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals. Prove theorems involving similarity. Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures. Apply geometric concepts in modeling situations. Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder). Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios). Key: [m] = major clusters; [s] = supporting clusters, [a] = additional clusters Indicates a modeling standard linking mathematics to everyday life, work, and decision-making CA Indicates a California-only standard Posted 12/20/17
3 Evidence of Stage 2 Assessment Evidence Unit Assessment Claim 1: Students can explain and apply mathematical concepts and carry out mathematical procedures with precision and fluency. Concepts and skills that may be assessed in Claim1: [m] G-CO.C Students will prove theorems about parallelograms, such as: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals. [m] G-SRT.B Students will use congruence for triangles to solve problems. Students will use congruence to prove relationships in polynomials. [m] G-MG.A Students will use geometric shapes, measures and properties to solve real-world problems. Students will apply geometric methods to solve design problems. Claim 2: Students can solve a range of wellposed problems in pure and applied mathematics, making productive use of knowledge and problem-solving strategies. Standard clusters that may be assessed in Claim 2: None Other Evidence Claim 3: The student can clearly and precisely construct viable arguments to support their own reasoning and critique the reasoning of others. Standard clusters that may be assessed in Claim 3: G-CO.C G-SRT.B Claim 4: The student can analyze complex, real-world scenarios and can construct and use mathematical models to interpret and solve problems. Standard clusters that may be assessed in Claim 4: G-MG.A Formative Assessment Opportunities Informal teacher observations Checking for understanding using active participation strategies Exit slips/summaries Tasks Modeling Lessons (SMP 4) Formative Assessment Lessons (FAL) Quizzes/Chapter Tests SBAC Interim Assessment Blocks Access Using Formative Assessment for Differentiation for suggestions. Located on the LBUSD website M Mathematics Curriculum Documents Posted 12/20/17
4 OPENING TASK Diagonals to Quadrilaterals This Opening Task provides the students with an opportunity to explore the relationship between a pair of intersecting lines (diagonals) and the resulting quadrilateral. After connecting the endpoints of intersecting segments, the students will be asked to describe/identify the resulting quadrilateral. Ask the students to make generalizations and conjectures. While this activity is best when pairs of students have access to computers/tablets, the teacher can demonstrate the applet for the class or ask students to come up to the front and manipulate the figure. Illuminations: Diagonals to Quadrilaterals 1 day I will identify a quadrilateral based on the given diagonals. The purpose of this task is to encourage student exploration and hypothesizing. This task is an opportunity for the students to begin to exploring and making connections with the properties of quadrilaterals Posted 12/20/17
5 3-4 I will investigate the properties and conditions of polygons by Finding and using interior angle measures to identify a Section 7.1 polygon. Section 7.2 Finding and using exterior angle measures to identify a Section 7.3 polygon. Using properties to find side lengths and angles of parallelograms. Identifying and verifying parallelograms. Using a coordinate plane to show that a quadrilateral is a parallelogram. Answering questions such as: o Are the Polynomial Interior and Exterior Angles Theorems valid for both convex and concave polynomials? o Is it possible for a polygon to be equilateral and not equiangular? o What is the measure of the central angle a regular n- gon? o Is it possible for a pentagon to have four right angles? o What is true about the consecutive angles, and sides, of a parallelogram? o How do you prove that a quadrilateral is a parallelogram? o How can you differentiate between parallelograms and other quadrilaterals (rectangles, rhombuses, and/or rectangles)? o How can you construct a parallelogram? o How can you construct a regular hexagon? o How can you use coordinates to write a proof? Illuminations: Perplexing Parallelograms Parallelograms Conjectures and Proofs Is this a Parallelogram? Illuminations: Square Graphs Illuminations: Cutting Corners Geogebra: Polygon Interior Angles Geogebra: Car Drives Through the Exterior Angles of a Polygon Geogebra: Polygons Exterior Angles Is this a Rectangle? Mathematics VisionProject: Under Construction Khan Academy: Properties of Shapes Khan Academy: Classifying Geometric Shapes Khan Academy: Polygons Khan Academy: Angles with Polygons Types Proofs and Angles Posted 12/20/17
6 3-4 I will investigate the properties of special parallelograms, trapezoids and kites by Using properties of special parallelograms to prove whether Section 7.4 or not the figure is a rhombus, rectangle or square. Section 7.5 Using coordinate geometry to identify special types of STEM Video: parallelograms. Diamonds Using properties of trapezoids to find angle measures and side lengths. Using the Trapezoid Midsegment Theorem to find segment lengths. Using the properties of kites to find angle measures, diagonals and side lengths. Proving properties of kites and trapezoids. Using properties to classify a quadrilateral. Answering questions such as: o How can you differentiate between parallelograms and other quadrilaterals (rectangles, rhombuses, rectangles, kites and/or trapezoids)? o Compare and contrast the diagonal properties of the quadrilaterals. o Always, sometimes or never true: A rectangle is a rhombus; a square is a rectangle; a trapezoid is a parallelogram? o Which quadrilateral could be called a regular quadrilateral? o Is SSASS a valid congruence theorem for kites? o How can you use coordinates to help write a proof? Geogebra: Special Quadrilaterals Geogebra: Properties of Trapezoids Geogebra: Properties of a Kite MathOpenRef: Kite Types Proofs and Angles Khan Academy: Quadrilaterals on the Coordinate Plane Applications: Floor Pattern Task STEM Performance Task: Diamonds Posted 12/20/17
7 2-3 I will check my knowledge about the properties of quadrilaterals by participating in the FAL. FORMATIVE ASSESSMENT LESSON Guess My Parallelogram FAL: Guess My Parallelogram 1-2 I will prepare for the unit assessment on polygons by... Incorporating the Standards for Mathematical Practice (SMPs) along with the content standards to review the unit. Which One Doesn t Belong: Polygons Sorting Quadrilaterals 1-2 Unit Assessment Unit Assessment Students will take the Synergy Online Unit Assessment. Unit Assessment Resources (Word or PDF) can be used throughout the unit Posted 12/20/17
Unit 2 Triangle and Polygon Properties
Number of Days: 34 10/23/17 12/15/17 Unit Goals Stage 1 Unit Description: Building on the algebra, reasoning, and constructions of Unit 1, Unit 2 has the students discover and explore the properties of
More informationUnit 2 Transformational Geometry Math 8
Number of Days: 24 10/16/17 11/17/17 Unit Goals Stage 1 Unit Description: Students study congruency and similarity by experimenting with dilations, rotations, reflections, and translations of geometric
More informationUnit 2 Transformational Geometry
Number of Days: 24 10/16/17 11/17/17 Unit Goals Stage 1 Unit Description: Students study congruency and similarity by experimenting with dilations, rotations, reflections, and translations of geometric
More informationGeometry/Trigonometry Unit 5: Polygon Notes Period:
Geometry/Trigonometry Unit 5: Polygon Notes Name: Date: Period: # (1) Page 270 271 #8 14 Even, #15 20, #27-32 (2) Page 276 1 10, #11 25 Odd (3) Page 276 277 #12 30 Even (4) Page 283 #1-14 All (5) Page
More informationGeometry Unit 6 Properties of Quadrilaterals Classifying Polygons Review
Geometry Unit 6 Properties of Quadrilaterals Classifying Polygons Review Polygon a closed plane figure with at least 3 sides that are segments -the sides do not intersect except at the vertices N-gon -
More informationHoughton Mifflin Harcourt Geometry 2015 correlated to the New York Common Core Learning Standards for Mathematics Geometry
Houghton Mifflin Harcourt Geometry 2015 correlated to the New York Common Core Learning Standards for Mathematics Geometry Standards for Mathematical Practice SMP.1 Make sense of problems and persevere
More informationSequence of Geometry Modules Aligned with the Standards
Sequence of Geometry Modules Aligned with the Standards Module 1: Congruence, Proof, and Constructions Module 2: Similarity, Proof, and Trigonometry Module 3: Extending to Three Dimensions Module 4: Connecting
More informationUnit 2 Algebraic Expressions Applied to Geometry
Find Unit 2 Algebraic Expressions Applied to Geometry Number of Days: 24 10/17/16 11/18/16 Unit Goals Stage 1 Unit Description: Students will apply expressions to two-dimensional and three-dimensional
More informationBig Ideas Chapter 4: Transformations
Geometry Big Ideas Chapter 4: Transformations Students investigate the intersecting lines and their resultant angles. Parallel and/or perpendicular lines are identified using the coordinate plane. Students
More informationPolygons are named by the number of sides they have:
Unit 5 Lesson 1 Polygons and Angle Measures I. What is a polygon? (Page 322) A polygon is a figure that meets the following conditions: It is formed by or more segments called, such that no two sides with
More informationGeometry ~ Unit 4
Title Quadrilaterals and Coordinate Proof CISD Safety Net Standards: G.5A Big Ideas/Enduring Understandings Module 9 Properties of quadrilaterals can be used to solve real-world problems. Suggested Time
More informationMathematics Standards for High School Geometry
Mathematics Standards for High School Geometry Geometry is a course required for graduation and course is aligned with the College and Career Ready Standards for Mathematics in High School. Throughout
More informationIn this task, students will investigate the attributes of quadrilaterals.
PRACTICE TASK: Investigating Quadrilaterals In this task, students will investigate the attributes of quadrilaterals. STANDARDS FOR MATHEMATICAL CONTENT MCC5.G.3 Understanding that attributes belonging
More informationSequenced Units for Arizona s College and Career Ready Standards MA32 Honors Geometry
Sequenced Units for Arizona s College and Career Ready Standards MA32 Honors Geometry Year at a Glance Semester 1 Semester 2 Unit 1: Basics of Geometry (12 days) Unit 2: Reasoning and Proofs (13 days)
More informationGEOMETRY CURRICULUM MAP
2017-2018 MATHEMATICS GEOMETRY CURRICULUM MAP Department of Curriculum and Instruction RCCSD Congruence Understand congruence in terms of rigid motions Prove geometric theorems Common Core Major Emphasis
More informationCorrelation of Discovering Geometry 5th Edition to Florida State Standards
Correlation of 5th Edition to Florida State s MAFS content is listed under three headings: Introduced (I), Developed (D), and Applied (A). Developed standards are the focus of the lesson, and are being
More informationUnit 5: Polygons and Quadrilaterals
Unit 5: Polygons and Quadrilaterals Scale for Unit 5 4 Through independent work beyond what was taught in class, students could (examples include, but are not limited to): - Research a unique building
More informationMIAMI-DADE COUNTY PUBLIC SCHOOLS District Pacing Guide GEOMETRY HONORS Course Code:
Topic V: Quadrilaterals Properties Pacing Date(s) Traditional 22 days 10/24/13-11/27/13 Block 11 days 10/24/13-11/27/13 COMMON CORE STATE STANDARD(S) & MATHEMATICAL PRACTICE (MP) NEXT GENERATION SUNSHINE
More information14. How many sides does a regular polygon have, if the measure of an interior angle is 60?
State whether the figure is a polygon; if it is a polygon, state whether the polygon is convex or concave. HINT: No curves, no gaps, and no overlaps! 1. 2. 3. 4. Find the indicated measures of the polygon.
More informationMath 3 - Lesson Title: Using the Coordinate Plane for Proofs
Targeted Content Standard(s): Use coordinates to prove simple geometric theorems algebraically. G.GPE.4 Use coordinates to prove simple geometric theorems algebraically. For example, prove or disprove
More informationAssumption High School. Bell Work. Academic institution promoting High expectations resulting in Successful students
Bell Work Geometry 2016 2017 Day 36 Topic: Chapter 4 Congruent Figures Chapter 6 Polygons & Quads Chapter 4 Big Ideas Visualization Visualization can help you connect properties of real objects with two-dimensional
More informationGeometry. Kites Families of Quadrilaterals Coordinate Proofs Proofs. Click on a topic to
Geometry Angles of Polygons Properties of Parallelograms Proving Quadrilaterals are Parallelograms Constructing Parallelograms Rhombi, Rectangles and Squares Kites Families of Quadrilaterals Coordinate
More informationProving Quadrilaterals in the Coordinate Plane
Proving Quadrilaterals in the Coordinate Plane Mathematical Goals Prove theorems pertaining to lines and angles. Prove theorems pertaining to triangles. Prove theorems pertaining to parallelograms. STANDARDS
More informationA Correlation of. To the. Arizona Mathematics Standards Geometry
A Correlation of 2018 To the To the Table of Contents Number and Quantity - N... 1 Congruence (G-CO)... 2 Similarity, Right Triangles, and Trigonometry (G-SRT)... 4 Circles (G-C)... 6 Expressing Geometric
More informationExamples: Identify the following as equilateral, equiangular or regular. Using Variables: S = 180(n 2)
Ch. 6 Notes 6.1: Polygon Angle-Sum Theorems Examples: Identify the following as equilateral, equiangular or regular. 1) 2) 3) S = 180(n 2) Using Variables: and Examples: Find the sum of the interior angles
More informationFirst Semester Units 1-5 Second Semester Units 6-10
First Semester Units 1-5 Second Semester Units 6-10 Unit 1: Geometric Transformations In high school, students formalize much of the geometric exploration from middle school. In this unit, students develop
More informationMCC5.G.3 Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that categories.
Fifth Grade Mathematics Unit 6 CONSTRUCTING TASK: Property Lists of Quadrilaterals Adapted from Van De Walle, Teaching Student-Centered Math pg. 207 The purpose of this task is for students to become familiar
More informationGeometry Unit 3: Similarity, Proof, and Polygons (Gr. 9-11)
Geometry Unit 3: Similarity, Proof, and Polygons (Gr. 9-11) Content Area: Course(s): Time Period: Length: Status: Mathematics Geometry 2nd Marking Period 10 Weeks Published Unit Overview This unit opens
More informationMathematics High School Geometry
Mathematics High School Geometry An understanding of the attributes and relationships of geometric objects can be applied in diverse contexts interpreting a schematic drawing, estimating the amount of
More information*Unit 4 Quadrilaterals and Coordinate Geometry
*Unit 4 Quadrilaterals and Coordinate Geometry Content Area: Mathematics Course(s): Geometry CP, Geometry Honors Time Period: January Length: 10 blocks Status: Published Transfer Skills Previous coursework:
More informationGeometry SEMESTER 1 SEMESTER 2
SEMESTER 1 Geometry 1. Geometry Basics 2. Coordinate Geometry a) Transformations, e.g., T(x + a, y + b) 3. Angles 4. Triangles a) Circumcenter 5. Construction a) Copy a segment, angle b) Bisect a segment,
More informationR.P.S. Common Core Math Curriculum Overview
Summary of the Year In, instructional time should focus on four critical areas: 1. Extending student understanding of basic transformations from younger grades and connect to congruence in terms of rigid
More information8.1 Find Angle Measures in Polygons
VOCABULARY 8.1 Find Angle Measures in Polygons DIAGONAL Review: EQUILATERAL EQUIANGULAR REGULAR CLASSIFYING POLYGONS Polygon Interior Angle Theorem: The sum of the measures of the interior angles of a
More informationGeometry Year at a Glance
Geometry Year at a Glance Name of Unit Learning Goals Knowledge & Skills Unit 1: Congruence, Proofs, and Constructions (45 days) Unit 2: Similarity, Proof, and Trigonometry Unit 3: Extending to Three Dimensions
More informationGeometry A Syllabus. Course Learning Goals (including WA State Standards, Common Core Standards, National Standards):
Geometry A Syllabus Credit: one semester (.5) Prerequisites and/or recommended preparation: Completion of Algebra 1 Estimate of hours per week engaged in learning activities: 5 hours of class work per
More informationAgile Mind Geometry Scope and Sequence, Common Core State Standards for Mathematics
Students began their study of geometric concepts in middle school mathematics. They studied area, surface area, and volume and informally investigated lines, angles, and triangles. Students in middle school
More informationArizona Mathematics Standards Geometry. ARIZONA DEPARTMENT OF EDUCATION HIGH ACADEMIC STANDARDS FOR STUDENTS December, 2016
Arizona Mathematics Standards Geometry ARIZONA DEPARTMENT OF EDUCATION HIGH ACADEMIC STANDARDS FOR STUDENTS December, 2016 Geometry Overview NUMBER AND QUANTITY - N Quantity (N-Q) Reason quantitatively
More information4.0 independently go beyond the classroom to design a real-world connection with polygons that represents a situation in its context.
ANDERSON Lesson plans!!! Intro to Polygons 10.17.16 to 11.4.16 Level SCALE Intro to Polygons Evidence 4.0 independently go beyond the classroom to design a real-world connection with polygons that represents
More informationUNIT 1 GEOMETRY TEMPLATE CREATED BY REGION 1 ESA UNIT 1
UNIT 1 GEOMETRY TEMPLATE CREATED BY REGION 1 ESA UNIT 1 Traditional Pathway: Geometry The fundamental purpose of the course in Geometry is to formalize and extend students geometric experiences from the
More informationFocus of this Unit: Connections to Subsequent Learning: Approximate Time Frame: 4-6 weeks Connections to Previous Learning:
Approximate Time Frame: 4-6 weeks Connections to Previous Learning: In Grade 8, students are introduced to the concepts of congruence and similarity through the use of physical models and dynamic geometry
More informationMidpoint Quadrilaterals
Math Objectives Students will explore the parallelogram formed by the midpoints of any quadrilateral. Students will further explore special outer and inner quadrilaterals formed by the connected midpoints.
More informationGEOMETRY CCR MATH STANDARDS
CONGRUENCE, PROOF, AND CONSTRUCTIONS M.GHS. M.GHS. M.GHS. GEOMETRY CCR MATH STANDARDS Mathematical Habits of Mind. Make sense of problems and persevere in solving them.. Use appropriate tools strategically..
More informationPrentice Hall CME Project Geometry 2009
Prentice Hall CME Project Geometry 2009 Geometry C O R R E L A T E D T O from March 2009 Geometry G.1 Points, Lines, Angles and Planes G.1.1 Find the length of line segments in one- or two-dimensional
More informationPrentice Hall Mathematics Geometry, Foundations Series 2011
Prentice Hall Mathematics Geometry, Foundations Series 2011 Geometry C O R R E L A T E D T O from March 2009 Geometry G.1 Points, Lines, Angles and Planes G.1.1 Find the length of line segments in one-
More informationSOL 6.13 Quadrilaterals
SOL 6.13 Quadrilaterals 6.13 The student will describe and identify properties of quadrilaterals. Understanding the Standard: A quadrilateral is a closed planar (two-dimensional) figure with four sides
More informationA VERTICAL LOOK AT KEY CONCEPTS AND PROCEDURES GEOMETRY
A VERTICAL LOOK AT KEY CONCEPTS AND PROCEDURES GEOMETRY Revised TEKS (2012): Building to Geometry Coordinate and Transformational Geometry A Vertical Look at Key Concepts and Procedures Derive and use
More informationDefinition: Convex polygon A convex polygon is a polygon in which the measure of each interior angle is less than 180º.
Definition: Convex polygon A convex polygon is a polygon in which the measure of each interior angle is less than 180º. Definition: Convex polygon A convex polygon is a polygon in which the measure of
More informationPearson Mathematics Geometry
A Correlation of Pearson Mathematics Geometry Indiana 2017 To the INDIANA ACADEMIC STANDARDS Mathematics (2014) Geometry The following shows where all of the standards that are part of the Indiana Mathematics
More informationU4 Polygon Notes January 11, 2017 Unit 4: Polygons
Unit 4: Polygons 180 Complimentary Opposite exterior Practice Makes Perfect! Example: Example: Practice Makes Perfect! Def: Midsegment of a triangle - a segment that connects the midpoints of two sides
More informationGeometry PUHSD Curriculum
PARCC Model Content Frameworks Students bring many geometric experiences with them to high school; in this course, they begin to use more precise definitions and develop careful proofs. Although there
More informationGeometry Curriculum Map
Quadrilaterals 7.1 Interior Angle Sum Theorem 7.2 Exterior Angle Sum Theorem 7.3 Using Interior and Exterior Angles to Solve Problems Define the Angle Sum Theorem. Illustrate interior angles with the Angle
More informationPre-AICE 2: Unit 5 Exam - Study Guide
Pre-AICE 2: Unit 5 Exam - Study Guide 1 Find the value of x. (The figure may not be drawn to scale.) A. 74 B. 108 C. 49 D. 51 2 Find the measure of an interior angle and an exterior angle of a regular
More informationStandards to Topics. Louisiana Student Standards for Mathematics Geometry
Standards to Topics GM.G-CO.A.01 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and
More informationGeometry Geometry Grade Grade Grade
Grade Grade Grade 6.G.1 Find the area of right triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the
More informationGeorgia Standards of Excellence Curriculum Map. Mathematics. GSE Geometry
Georgia Standards of Excellence Curriculum Map Mathematics GSE Geometry These materials are for nonprofit educational purposes only. Any other use may constitute copyright infringement. Georgia Standards
More informationMathematics Curriculum
New York State Common Core Mathematics Curriculum Table of Contents 1 Congruence, Proof, and Constructions MODULE 1... 3 Topic A: Basic Constructions (G-CO.1, G-CO.12, G-CO.13)... 7 Lesson 1: Construct
More informationInstructional Unit CPM Geometry Unit Content Objective Performance Indicator Performance Task State Standards Code:
306 Instructional Unit Area 1. Areas of Squares and The students will be -Find the amount of carpet 2.4.11 E Rectangles able to determine the needed to cover various plane 2. Areas of Parallelograms and
More informationThomas Jefferson High School for Science and Technology Program of Studies TJ Math 1
Course Description: This course is designed for students who have successfully completed the standards for Honors Algebra I. Students will study geometric topics in depth, with a focus on building critical
More informationGeometry. (F) analyze mathematical relationships to connect and communicate mathematical ideas; and
(1) Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is (A) apply mathematics to problems arising in everyday life,
More informationAmarillo ISD Math Curriculum
Amarillo Independent School District follows the Texas Essential Knowledge and Skills (TEKS). All of AISD curriculum and documents and resources are aligned to the TEKS. The State of Texas State Board
More informationGEOMETRY. Changes to the original 2010 COS is in red. If it is red and crossed out, it has been moved to another course.
The Geometry course builds on Algebra I concepts and increases students knowledge of shapes and their properties through geometry-based applications, many of which are observable in aspects of everyday
More information104, 107, 108, 109, 114, 119, , 129, 139, 141, , , , , 180, , , 128 Ch Ch1-36
111.41. Geometry, Adopted 2012 (One Credit). (c) Knowledge and skills. Student Text Practice Book Teacher Resource: Activities and Projects (1) Mathematical process standards. The student uses mathematical
More informationHonors Geometry Pacing Guide Honors Geometry Pacing First Nine Weeks
Unit Topic To recognize points, lines and planes. To be able to recognize and measure segments and angles. To classify angles and name the parts of a degree To recognize collinearity and betweenness of
More informationMathematics Curriculum
New York State Common Core Mathematics Curriculum Table of Contents 1 MODULE 1... 3 Topic A: Basic Constructions (G-CO.A.1, G-CO.D.12, G-CO.D.13)... 11 Lessons 1 2: Construct an Equilateral Triangle...
More informationRecalling Quadrilaterals
Recalling Quadrilaterals Play Area Lesson 23-1 Recalling Quadrilaterals Learning Targets: Define and classify quadrilaterals based on their properties. Use properties of quadrilaterals to determine missing
More informationGeometry GEOMETRY. Congruence
Geometry Geometry builds on Algebra I concepts and increases students knowledge of shapes and their properties through geometry-based applications, many of which are observable in aspects of everyday life.
More informationCommon Core Standards Curriculum Map - Geometry Quarter One. Unit One - Geometric Foundations, Constructions and Relationships (24 days/12 blocks)
Common Core Standards Curriculum Map - Geometry Quarter One Unit One - Geometric Foundations, Constructions and Relationships (24 days/12 blocks) Experiment with transformations in the plane. G.CO.1. Know
More informationHonors Geometry Year at a Glance
Honors Geometry Year at a Glance Name of Unit Learning Goals Knowledge & Skills Unit 1: Congruence, Proofs, and Constructions Unit 2: Similarity, Proof, and Trigonometry Unit 3: Extending to Three Dimensions
More informationUnit 2: Triangles and Quadrilaterals Lesson 2.1 Apply Triangle Sum Properties Lesson 4.1 from textbook
Unit 2: Triangles and Quadrilaterals Lesson 2.1 pply Triangle Sum Properties Lesson 4.1 from textbook Objectives Classify angles by their sides as equilateral, isosceles, or scalene. Classify triangles
More informationMichigan Edition. correlated to the. Michigan Merit Curriculum Course / Credit Requirements Geometry
Michigan Edition correlated to the Michigan Merit Curriculum Course / Credit Requirements Geometry McDougal Littell Geometry 2008 (Michigan Edition) correlated to the Michigan Merit Curriuclum Course /
More informationGEOMETRY Graded Course of Study
GEOMETRY Graded Course of Study Conceptual Category: Domain: Congruence Experiment with transformations in the plane. Understand congruence in terms of rigid motions. Prove geometric theorems both formally
More informationGeometry Advanced (Master) Content Skills Learning Targets Assessment Resources & Technology. A: The Tools of Geometry
St. Michael Albertville High School Teacher: Nick Steve Geometry Advanced (Master) September 2015 Content Skills Learning Targets Assessment Resources & Technology CEQ: What are the properties of the basic
More informationEssential Questions Content Skills Assessments Standards/PIs Resources/Notes. Restates a nonmathematical. using logic notation
Map: Geometry R+ Type: Consensus Grade Level: 10 School Year: 2011-2012 Author: Jamie Pietrantoni District/Building: Island Trees/Island Trees High School Created: 05/10/2011 Last Updated: 06/28/2011 Essential
More informationSchool District of Marshfield Course Syllabus
School District of Marshfield Course Syllabus Course Name: Geometry Honors Length of Course: 1 Year Credit: 1 Program Goal(s): The School District of Marshfield Mathematics Program will prepare students
More informationSTANDARDS OF LEARNING CONTENT REVIEW NOTES HONORS GEOMETRY. 3 rd Nine Weeks,
STANDARDS OF LEARNING CONTENT REVIEW NOTES HONORS GEOMETRY 3 rd Nine Weeks, 2016-2017 1 OVERVIEW Geometry Content Review Notes are designed by the High School Mathematics Steering Committee as a resource
More informationSTANDARDS OF LEARNING CONTENT REVIEW NOTES GEOMETRY. 3 rd Nine Weeks,
STANDARDS OF LEARNING CONTENT REVIEW NOTES GEOMETRY 3 rd Nine Weeks, 2016-2017 1 OVERVIEW Geometry Content Review Notes are designed by the High School Mathematics Steering Committee as a resource for
More information8 Quadrilaterals. Before
8 Quadrilaterals 8. Find Angle Measures in Polygons 8. Use Properties of Parallelograms 8.3 Show that a Quadrilateral is a Parallelogram 8.4 Properties of Rhombuses, Rectangles, and Squares 8.5 Use Properties
More informationGeometry. Geometry. Domain Cluster Standard. Congruence (G CO)
Domain Cluster Standard 1. Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance
More informationGeometry. Course Requirements
Geometry Geometry is a full year, high school math course for the student who has successfully completed the prerequisite course, Algebra I. The course focuses on the skills and methods of linear, coordinate,
More informationPerformance Objectives Develop dictionary terms and symbols
Basic Geometry Course Name: Geometry Unit: 1 Terminology & Fundamental Definitions Time Line: 4 to 6 weeks Building Blocks of Geometry Define & identify point, line, plane angle, segment, ray, midpoint,
More informationAngles of Polygons. Essential Question What is the sum of the measures of the interior angles of a polygon?
7.1 Angles of Polygons Essential Question What is the sum of the measures of the interior angles of a polygon? The Sum of the Angle Measures of a Polygon Work with a partner. Use dynamic geometry software.
More information, Geometry, Quarter 1
2017.18, Geometry, Quarter 1 The following Practice Standards and Literacy Skills will be used throughout the course: Standards for Mathematical Practice Literacy Skills for Mathematical Proficiency 1.
More informationGeometry Syllabus. Desired Results
Geometry Syllabus School Year: 2015-2016 Certificated Teacher: Desired Results Course Title: Geometry A and B Credit: one semester (.5) x two semesters (1.0) Prerequisites and/or recommended preparation:
More informationGrade 8 PI+ Yearlong Mathematics Map
Grade 8 PI+ Yearlong Mathematics Map Resources: Approved from Board of Education Assessments: PARCC Assessments, Performance Series, District Benchmark Assessment Common Core State Standards Standards
More informationUse throughout the course: for example, Parallel and Perpendicular Lines Proving Lines Parallel. Polygons and Parallelograms Parallelograms
Geometry Correlated to the Texas Essential Knowledge and Skills TEKS Units Lessons G.1 Mathematical Process Standards The student uses mathematical processes to acquire and demonstrate mathematical understanding.
More informationMATHEMATICS Geometry Standard: Number, Number Sense and Operations
Standard: Number, Number Sense and Operations Number and Number A. Connect physical, verbal and symbolic representations of 1. Connect physical, verbal and symbolic representations of Systems integers,
More informationUnit 3: Triangles and Polygons
Unit 3: Triangles and Polygons Background for Standard G.CO.9: Prove theorems about triangles. Objective: By the end of class, I should Example 1: Trapezoid on the coordinate plane below has the following
More informationAgile Mind CCSS Geometry Scope & Sequence
Geometric structure 1: Using inductive reasoning and conjectures 2: Rigid transformations 3: Transformations and coordinate geometry 8 blocks G-CO.01 (Know precise definitions of angle, circle, perpendicular
More information6.1: Date: Geometry. Polygon Number of Triangles Sum of Interior Angles
6.1: Date: Geometry Polygon Number of Triangles Sum of Interior Angles Triangle: # of sides: # of triangles: Quadrilateral: # of sides: # of triangles: Pentagon: # of sides: # of triangles: Hexagon: #
More informationAny questions about the material so far? About the exercises?
Any questions about the material so far? About the exercises? Here is a question for you. In the diagram on the board, DE is parallel to AC, DB = 4, AB = 9 and BE = 8. What is the length EC? Polygons Definitions:
More informationLesson 4.3 Ways of Proving that Quadrilaterals are Parallelograms
Lesson 4.3 Ways of Proving that Quadrilaterals are Parallelograms Getting Ready: How will you know whether or not a figure is a parallelogram? By definition, a quadrilateral is a parallelogram if it has
More informationPearson Geometry Common Core 2015
A Correlation of Geometry Common Core to the Common Core State Standards for Mathematics High School , Introduction This document demonstrates how meets the Mathematics High School, PARRC Model Content
More informationNumber of sides Name of polygon Least number of Interior angle sum 3 Triangle
Name: Period: 6.1 Polygon Sum Polygon: a closed plane figure formed by three or more segments that intersect only at their endpoints. Are these polygons? If so, classify it by the number of sides. 1) 2)
More informationGEOMETRY. Background Knowledge/Prior Skills. Knows ab = a b. b =
GEOMETRY Numbers and Operations Standard: 1 Understands and applies concepts of numbers and operations Power 1: Understands numbers, ways of representing numbers, relationships among numbers, and number
More information3 Identify shapes as two-dimensional (lying in a plane, flat ) or three-dimensional ( solid ).
Geometry Kindergarten Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres). 1 Describe objects in the environment using names of shapes,
More informationGeometry. Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself.
Common Core State for Mathematics High School Following is a correlation of Pearson s Prentice Hall Common Core Geometry 2012 to Common Core State for High School Mathematics. Geometry Congruence G-CO
More informationAmarillo ISD Math Curriculum
Amarillo Independent School District follows the Texas Essential Knowledge and Skills (TEKS). All of AISD curriculum and documents and resources are aligned to the TEKS. The State of Texas State Board
More informationGeometry Chapter 8 Test Review
Geometry Chapter 8 Test Review Short Answer 1. Find the sum of the measures of the interior angles of the indicated convex polygon. Decagon 2. Find the sum of the measures of the interior angles of the
More informationGeometry. Instructional Activities:
GEOMETRY Instructional Activities: Geometry Assessment: A. Direct Instruction A. Quizzes B. Cooperative Learning B. Skill Reviews C. Technology Integration C. Test Prep Questions D. Study Guides D. Chapter
More informationGeometry Year-Long. September 2014
St. Michael-Albertville High School Teacher: Nick Steve Geometry Year-Long September 2014 NOTE: The topics covered in Geometry and in Advanced Geometry are basically the same. However, the Advanced Geometry
More information