1 2 3 4 5 6 Standards Skills Concepts Through a Cognitive Sample Activity Included Included in Particular Context Demand/ in Standard Levels of Standard Thinking Solve real-life and mathematical problems involving angle measure, area, surface area, and volume. 1 2 3 4 5 6 D-7.G.4 Know Formulas for Area and Understand Engage students in discovery activities that point Standards Skills Concepts Through a Cognitive Sample Activity Know the formulas for the area and Circumference of a to the formulas. Have them measure the radii, Included in Included in Particular Context Demand/ circumference of a circle and use them to Use Formulas for Circle Apply diameters, circumferences and approximate Standard Standard Levels of solve problems; give an informal derivation the Area and areas of circles (place on grid, use paper tiles to Thinking of the relationship between the Give to Solve Problems Analyze cover, etc.), of circular items, cylinders, etc. Chart Geometry circumference and area of a circle. of a Circle the results and discuss the patterns seen to Draw, construct, and describe geometrical figures and describe the relationships between them. of the relationship informally derive formulas. D-7.G.1 solve problems scale drawings of apply Use student-generated floor plans of their dream an Informal between the Solve problems involving scale drawings of geometric figures rooms to plan for wall coverings, windows, Derivation Circumference and geometric figures, including computing compute lengths and flooring, etc. Have students reproduce a partner’s Area of a Circle actual lengths and areas from a scale areas scale drawings of dream room in a different scale. D-7.G.5 Use Facts about in a Multi-Step Apply Use similar triangles, parallel lines with a drawing and reproducing a scale drawing reproduce geometric figures Use facts about supplementary, Angles Problem transversal and vertical angles to illustrate at a different scale. scale complementary, vertical, and adjacent Write Apply complementary and supplementary angles. Try a drawing in a scale drawings of angles in a multi-step problem to write and Simple in a Multi-Step site like The National Library of Virtual different geometric figures solve simple equations for an unknown Solve Equations for Problem Apply Manipulatives to create and manipulate angles. scale angle in a figure. an Unknown Angle in a in a Multi-Step Figure Problem Simple Equations for an Unknown Angle in a Figure
1 Standards 2 Skills Included in Standard 3 Concepts Included in Standard 4 Through a Particular Context 5 Cognitive Demand/ Levels of Thinking 6 Sample Activity Geometry Draw, construct, and describe geometrical figures and describe the relationships between them. D-7.G.1 Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale. solve compute reproduce problems lengths and areas scale drawing in a different scale scale drawings of geometric figures scale drawings of geometric figures scale drawings of geometric figures apply Use student-generated floor plans of their dream rooms to plan for wall coverings, windows, flooring, etc. Have students reproduce a partner’s dream room in a different scale. 1 Standards 2 Skills Included in Standard 3 Concepts Included in Standard 4 Through a Particular Context 5 Cognitive Demand/ Levels of Thinking 6 Sample Activity Solve real-life and mathematical problems involving angle measure, area, surface area, and volume. D-7.G.4 Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. Know Use Give Formulas Formulas for the Area and of a Circle an Informal Derivation for Area and Circumference of a Circle to Solve Problems of the relationship between the Circumference and Area of a Circle Understand Apply Analyze Engage students in discovery activities that point to the formulas. Have them measure the radii, diameters, circumferences and approximate areas of circles (place on grid, use paper tiles to cover, etc.), of circular items, cylinders, etc. Chart the results and discuss the patterns seen to informally derive formulas. D-7.G.5 Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure. Use Write Solve Facts about Angles Simple Equations for an Unknown Angle in a Figure Simple Equations for an Unknown Angle in a Figure in a Multi-Step Problem in a Multi-Step Problem in a Multi-Step Problem Apply Apply Apply Use similar triangles, parallel lines with a transversal and vertical angles to illustrate complementary and supplementary angles. Try a site like The National Library of Virtual Manipulatives to create and manipulate angles.
Grade38CoachesMathUnpackingCharts.docx