Evidence of Student Vocabulary Knowledge Skills Common Core Instructional Achievement Level Descriptors Attainment Essential Elements Students: Area Students know: Students understand that/are EE7.G.4. N/A EE7.G.4. N/A Circumference able to: Describe the Strategies for relationship between representing Discriminate between the formulas for area contexts involving contexts asking for and circumference of area and circumference and those a circle and derive an circumference of asking for area equation relating the circular regions, measurements, two formulas. Strategies including Strategically choose and standard formulas apply appropriate methods for (A = = or representing and calculating πr2, C 2πr C = for area and circumference of Given real world and πd) computing the area circular regions, mathematical and circumference Use properties of operation problems involving of circular regions. and equality to relate area and variables in formulas, (i.e., circumference of area and circumference of a circular regions, circle). Circumference is measured in Use a variety of length units and is the representations distance around a circle, including models, The area of a plane figure is drawings, and measured by the number of equations based on same-size squares that exactly area and cover the interior space of the circumference figure, and when counting formulas to find and these squares is difficult such justify solutions and as in a circle, formulas allow solution paths. for more accurate calculation of the area, The length of the radius of a circle is related to both the area and circumference of that region.
Evidence of Student Attainment Vocabulary Knowledge Skills Common Core Essential Elements Instructional Achievement Level Descriptors Students: Describe the relationship between the formulas for area and circumference of a circle and derive an equation relating the two formulas. Given real world and mathematical problems involving area and circumference of circular regions, Use a variety of representations including models, drawings, and equations based on area and circumference formulas to find and justify solutions and solution paths. Area Circumference Students know: Strategies for representing contexts involving area and circumference of circular regions, Strategies including standard formulas (A = πr2, C = 2πr or C = πd) for computing the area and circumference of circular regions. Students understand that/are able to: Discriminate between contexts asking for circumference and those asking for area measurements, Strategically choose and apply appropriate methods for representing and calculating area and circumference of circular regions, Use properties of operation and equality to relate variables in formulas, (i.e., area and circumference of a circle). Circumference is measured in length units and is the distance around a circle, The area of a plane figure is measured by the number of same-size squares that exactly cover the interior space of the figure, and when counting these squares is difficult such as in a circle, formulas allow for more accurate calculation of the area, The length of the radius of a circle is related to both the area and circumference of that region. EE7.G.4. N/A EE7.G.4. N/A