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Transcript
The Chester Upland School District Office of Curriculum & Instruction Mathematics Curriculum Guide 1 Subject(s) Grade/Course Unit of Study Unit Type(s) Pacing Mathematics 7th Geometry ❑ Topical T Skills-‐based ❑ Thematic Six Weeks Priority Pennsylvania Core Standards Supporting Standards PRIORITY PENNSYLVANIA CORE STANDARDS Geometry: CC.2.3.7.A.1: S0LVE real-‐world and mathematical problems involving angle measure, area, surface area, circumference, and volume. CC.2.3.7.A.2: VISUALIZE and REPRESENT geometric figures and DESCRIBE the relationships between them. ELIGIBLE CONTENT M07.C-‐G.1.1.1: SOLVE problems involving scale drawings of geometric figures, including FINDING length and area. M07.C-‐G.1.1.2: IDENTIFY or DESCRIBE the properties of all types of triangles based on angle and side measures. M07.C-‐G.1.1.3: USE and APPLY the triangle inequality theorem. M07.C-‐G.1.1.4: DESCRIBE the two-‐dimensional figures that result from slicing three-‐dimensional figures. Example: Describe plane sections of right rectangular prisms and right rectangular pyramids. M07.C-‐G.2.1.1: IDENTIFY and USE properties of supplementary, complementary, and adjacent angles in a multistep problem to WRITE and SOLVE simple equations for an unknown angle in a figure. M07.C-‐G.2.1.2: Identify and USE properties of angles formed when two parallel lines are cut by a transversal (e.g., angles may include alternate interior, alternate exterior, vertical, corresponding). M07.C-‐G.2.2.1: FIND the area and circumference of a circle. SOLVE problems involving area and circumference of a circle(s). Formulas will be provided. M07.C-‐G.2.2.2: Solve real-‐world and mathematical problems involving area, volume, and surface area of two and three-‐ dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. Formulas will be provided. “UNWRAPPED” Priority Pennsylvania Core Standards Supporting Standards Copyright 2011, The Leadership and Learning Center. 866.399.6019. All rights reserved. Permission needed to duplicate. The Chester Upland School District Office of Curriculum & Instruction Mathematics Curriculum Guide 2 PRIORITY PENNSYLVANIA CORE STANDARDS Geometry: CC.2.3.7.A.1: S0LVE real-‐world and mathematical problems involving angle measure, area, surface area, circumference, and volume. CC.2.3.7.A.2: VISUALIZE and REPRESENT geometric figures and DESCRIBE the relationships between them. ELIGIBLE CONTENT M07.C-‐G.1.1.1: SOLVE problems involving scale drawings of geometric figures, including FINDING length and area. M07.C-‐G.1.1.2: IDENTIFY or DESCRIBE the properties of all types of triangles based on angle and side measures. M07.C-‐G.1.1.3: USE and APPLY the triangle inequality theorem. M07.C-‐G.1.1.4: DESCRIBE the two-‐dimensional figures that result from slicing three-‐dimensional figures. Example: Describe plane sections of right rectangular prisms and right rectangular pyramids. M07.C-‐G.2.1.1: IDENTIFY and USE properties of supplementary, complementary and adjacent angles in a multistep problem to WRITE and SOLVE simple equations for an unknown angle in a figure. M07.C-‐G.2.1.2: IDENTIFY and USE properties of angles formed when two parallel lines are cut by a transversal (e.g., angles may include alternate interior, alternate exterior, vertical, corresponding). M07.C-‐G.2.2.1: FIND the area and circumference of a circle. SOLVE problems involving area and circumference of a circle(s). Formulas will be provided. M07.C-‐G.2.2.2: SOLVE real-‐world and mathematical problems involving area, volume, and surface area of two and three-‐ dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. Formulas will be provided. “Unwrapped” Concepts (students need to know) “Unwrapped” Skills (students need to be able to do) Bloom’s Taxonomy Copyright 2011, The Leadership and Learning Center. 866.399.6019. All rights reserved. Permission needed to duplicate. The Chester Upland School District Office of Curriculum & Instruction Mathematics Curriculum Guide 3 Levels • • • • • • • • • • • • • • real-‐world and mathematical problems • geometric figures • relationships between geometric figures problem involving scale drawings length and area properties of all types of triangles triangle inequality theorem two dimensional figures supplementary, complementary and adjacent angles simple equations for an unknown angle • • • • • • • • properties of angles • area and circumference of a circle • problems involving area and circumference of a circle real-‐world and mathematical problems • • SOLVE (real-‐world and mathematical problems involving angle measure, area, surface area, circumference, and volume) VISUALIZE and REPRESENT( geometric figures) DESCRIBE (the relationships between geometric figures) SOLVE (problems involving scale drawings of geometric figures) FINDING (length and area) IDENTIFY or DESCRIBE (the properties of all types of triangles based on angle and side measures) USE and APPLY (the triangle inequality theorem) DESCRIBE (the two-‐dimensional figures that result from slicing three-‐dimensional figures) IDENTIFY and USE (properties of supplementary, complementary and adjacent angles in a multistep problem) WRITE and SOLVE (simple equations for an unknown angle in a figure) IDENTIFY and USE (properties of angles formed when two parallel lines are cut by a transversal) FIND (the area and circumference of a circle) SOLVE (problems involving area and circumference of a circle(s)) SOLVE (real-‐world and mathematical problems involving area, volume, and surface area of two and three-‐dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms) 3,4,5 4,5 5,6 3,4,5 4,5 4,5,6 2,3,4 5,6 2,3 3,4,5 2,3 4,5 3,4,5 3,4,5 Essential Questions Corresponding Big Ideas 1. What is the triangle inequality theorem? 2. What is the difference between surface area and volume? 1. The triangle inequality theorem states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the remaining side. 2. Surface area is the sum of the areas of all the faces of the solid figure. It is measured in square units. Volume is the number of cubic units that make up a solid figure. Copyright 2011, The Leadership and Learning Center. 866.399.6019. All rights reserved. Permission needed to duplicate.
