gr9_measurement

Shape and Space (Measurement, Objects and 2-D Shapes, Transformations)

//It is expected that students will://
 * **Prescribed Learning Outcomes**

C1. solve problems and justify the solution strategy using circle properties, including:
 * the perpendicular from the centre of a circle to a chord bisects the chord
 * the measure of the central angle is equal to twice the measure of the inscribed angle subtended by the same arc
 * the inscribed anlges subtended by the same arc are congruent
 * a tangent to a circle is perpendicular to the radius at the point of tangency
 * [C, CN, PS, R, T, V]

C3. demonstrate an understanding of similarity of polygons [C, CN, PS, R, V]

C4. draw and interpret scale diagrams of 2-D shapes [CN, R, T, V]

C5. demonstrate an understanding of line and rotation symmetry [C, CN, PS, V] ||
 * **Planning for Assessment** || **Assessment Strategies** ||
 * Students will: (C1. C3. C5)

Students work in pairs to create and solve a series of circles illustrating each of the circle properties. Following the construct of think-pair-share, students then exchange partners and work to solve new sets of problems. Students work in pairs to create and solve a series of questions illustrating the similarity of polygons. Following the construct of think-pair-share, students then exchange partners and work to solve new sets of problems. ||
 * Be able to use technology (math programs such as: Geogebra, Geometry Sketch Pad) to manipulate images to define circle properties, and gain understanding of the similarity of polygons and of line/rotation symmetry
 * Be able to demonstrate their understanding of circle properties gained from technology with the practical use of measurement instruments (compass, ruler, protractor)
 * Be able to demonstrate their understanding of the similarity of polygons gained from technology with the practical use of measurement instruments (compass, ruler, protractor)
 * Be able to solve questions that pertain to circle properties, similarity of polygons, and line/rotation symmetry || 
 * Formative: (Technology) Students are able to define theorems based upon the images they constructed and manipulated using technology
 * Summative: students are able to solve problems involving circle properties, polygons, and line/rotation symmetry
 * Students will: (C4)
 * Be able to illustrate their understanding of scale diagrams by drawing a scaled diagram of the classroom
 * Be able to illustrate that images can be scaled up and down by both enlarging and shrinking a photograph using a scaled grid || * Summative Assessment: Given a single problem (e.g. draw a map of the school and grounds) students are able to create a scaled diagram ||