Use the Pythagorean Theorem and its converse to solve problems Use Pythagorean inequalities to classify triangles Justify and apply properties of 45-45-90 degree triangles Justify and apply properties of 30-60-90 degree triangles Interdisciplinary Standards (njcccs.org) Standard 5.1 – Science Practices Standard 6.3 – Active Citizenship in the 21st Century Standard 8.2 – Technology Education Standard 9.1 – 21st - Century Life & Career Skills Activities – include 21st Century Technologies: SmartBoard powerpoint presentations Lecture and class discussion Patty Paper Exercise – Perpendicular and Angle Bisectors Patty Paper Exercise – Circumcenter and Incenter of a Triangle Construction – Centroid and Orthocenter of a Triangle Construction – Midsegment of a Triangle Technology Lab – Special Points in Triangles (use geometry software and special points in triangles to explore Euler’s line) Connecting Geometry to Algebra – Solving Compound Inequalities (apply algebra skills to solving compound inequalities) Connecting Geometry to Algebra – Simplest Radical Form (apply algebra skills to simplifying radical expressions) Geometry Lab – Explore Triangle Inequalities (explore the relationships between side lengths and angle measures in a triangle) Geometry Lab – Hands-on Proof of the Pythagorean Theorem (use area to justify the Pythagorean Theorem) Geometry Lab – Graph Irrational Numbers (graph irrational numbers on a number line) Online quizzes from textbook website Online videos from textbook website Additional lessons – On Core Mathematics (Houghton Mifflin Harcourt) Enrichment Activities: Practice C Worksheets (Holt McDougal) Challenge Worksheets (Holt McDougal) Problem Solving Worksheets (Holt McDougal) Methods of Assessments/Evaluation: Verbal Assessment Smartboard Response System Open Ended Questions Online Quizzes Homework
SmartBoard powerpoint presentations Lecture and class discussion Construction – Tangent to a Circle at a Point Construction – Circle Through Three Noncollinear Points Construction – Center of a Circle Construction – Tangent to a Circle From an Exterior Point Connecting Geometry to Data Analysis – Circle Graphs (identify circle graphs that represent given data) Technology Lab – Explore Angle Relationships in Circles (use geometry software to explore segment relationships in circles) Technology Lab – Explore Segment Relationships in Circles (use geometry software to explore angle relationships in circles) Online quizzes from textbook website Online videos from textbook website Additional lessons – On Core Mathematics (Houghton Mifflin Harcourt) Enrichment Activities: Practice C Worksheets (Holt McDougal) Challenge Worksheets (Holt McDougal) Problem Solving Worksheets (Holt McDougal) Extension – Measuring Angles in Radians (use proportions to convert angle measures from degrees to radians) Methods of Assessments/Evaluation: Verbal Assessment Smartboard Response System Open Ended Questions Online Quizzes Homework Classwork Quizzes Written Chapter Test Check it Out Problems (questions during lecture) Alternative Assessment Take Poll Textbook Activity – Lines and Arcs in Circles (assess students’ ability to apply concepts and skills in a real-world format) Textbook Activity – Angles and Segments in Circles (assess students’ ability to apply concepts and skills in a real-world format) Resources/Including Online Resources Online Textbook Information: my.hrw.com Teacher Webpage Geometry Textbook (publisher: Holt McDougal)