Course: Math Grade: 7 Unit Plan: Geometry Length of Unit: Enduring Understanding(s): Geometry is found in the visual world in two and three dimension. We use geometry daily in problem solving. Essential Question(s): How do we use geometry in daily problem solving? Focus Questions: How do you describe geometric shapes? How do you solve problems using geometric formulas? Assessments: Pre-assessment: Formative Assessment: Class room observation Home learning and practice sheets Class activities Class notes Poster activity: 3D Shapes and Nets Summative assessment: Booklet Project: Plane shapes, Angles and Diagonals ( understanding and calculations of angles and diagonals ) Scale Drawing Quiz: Vocabulary Unit test: Application of formulas(area and perimeter) Identification and characteristics of shapes Unit test : Three-dimensional Shapes Identification Unit Test : Application of formulas for Surface Area and Volume Mathematical Practices 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning.
Domain: The student will be able to: Draw, construct, and describe geometrical figures and describe the relationships between them. The student will KNOW these facts : 7G1 Solve problems involving scale drawings of geometric figures. Compute actual lengths and areas from scale drawings. Reproduce a scale drawing at different scales. 7G -2 Triangles: Identify and measure angles: straight, acute, obtuse, right Identify and classify triangles: right, scalene, isosceles, equilateral, equiangular. Construct a triangle (freehand, with ruler and protractor, and technology) given three angle measures. Construct a triangle (freehand, with ruler and protractor, and technology) given three side measures. Describe when angle measures determine a triangle (given angles equal 180 ) or not triangle (given angles are greater or less than 180 ). Describe when side measures determine a unique triangle (a + b is greater than c) or no triangle (a + b is less than c). 7G-3 Slices: Describe two-dimensional figures that result from slicing a three dimensional figures: Rectangular prism (right) Rectangular pyramid ( right) 7G - 4 Circles: Identify properties of circles. Identify the parts of a circle: radius, chords, diameter, area degrees, circumference, center, and sector. Derive the relationship between the circumference and area of a circle. Solve problems utilizing the circumference of a circle formula. Solve problems utilizing the area of a circle formula. Class activity: Scale drawing (S) Class practice : Triangle Properties using compass and straight edge ( F ) Quiz: Triangle identification and properties (S) Ch. 5 ( 5-9, 5-10, 6-8, 6-9) Basic geometry :4-5, 4-8, 6-7 Class activity: Slicing 3D shapes (F) Quiz: Circle Vocabulary Application of Formulas Circumference Class notes: ( F) Class activity:
7G -5 Lines and transversals: Define supplementary, complementary, vertical, and adjacent angles. Solve for an unknown angle in a figure utilizing definitions of supplementary, complementary, vertical, and adjacent angles. 7 G - 6 Formulas and application: Solve area, volume, and surface area problems of two- and three-dimensional objects from real world situations: triangles, quadrilaterals, cube, prisms. Ch. 7 (7-6) Project : Integrated with Science ( yet to be created) ( S ) Ch. 6 (6-5,6-6) Ch. 7 (7-3, 7-4,7-5) Ch. 11 (11-5,11-6,11-7,11-8,11-9,11-10) Class activity Corner to Corner NCTM Lesson ( F) http://illuminations.nctm.org/lessondetail.aspx?id=u174 Ch.7 (7-7) Vocabulary, formulas and properties: scale and scale drawing Formulas Area - A Surface area SA Volume- V Perimeter P Circumference C Theorems Triangle Inequality Theorem Triangle Angle Sum Theorem Shapes slice two-dimensional three -dimensional figures polygon net pyramid square pyramid triangular pyramid prism rectangular prism triangular prism Vocabulary practice using a variety of strategies and tool as well as application in activities and projects. Quizlet practice site on web. Games from Building Academic Vocabulary by Marzano Quiz on selected words : ( S )
square prism cylinder cube cone face edges vertex and vertices compass protractor quadrilateral trapezoid measure size change factor contraction expansion dimension altitude base Circle diameter radius arc sector center Angles and transversals vertical angles supplementary angles corresponding angles complementary angles adjacent angles straight angle Suggested learning and extension activities: Computer programs: Sketch Up Projects in Transitions by EDM A Large Triangle page 419 Parallels on the Globe page 419 Symmetry in the World page 419 Tessellations in Everyday Life Tessellations in Art page 420 Perimeter and Area page 477 Sir Circumference Book Report page 111 Mayan Temple page 477 Resources and Materials needed:
Transitions Book by EDM Teacher made materials Infinite Pre-Algebra Content, Test and Worksheet Generator ( computer disk) NCTM Illuminations Picture books: Sir Circumference and the Great Knight of Angle Land Sir Circumference and the First Round Table Sir Circumference and The Sword in the Cone Sir Circumference and the Isle of Immeter Sir Circumference and the Dragon of Pi What s You Angle Pythagoras Pythagoras and the Ratios