response based explanations/ explanations/ work or using the: on explanations/ reasoning using the: reasoning using the: justification reasoning using the: Properties of Properties of Properties of Properties operations operations operations based on Relationship Relationship relationship place between between between value properties and and and of division division division operations Response includes Response includes Response includes between an efficient and a logical but an incomplete or addition logical progression incomplete Illogical and of steps. progression of progression of subtraction steps. Minor steps. calculation errors. Response includes a logical progression of steps. Performance Task #8 Micah and Nina’s Rectangle 3.MD.7– Task 2 Standard(s) Relate area to the operations of multiplication and addition. Find the area of a rectangle with whole-number side lengths by tiling it, and show that the area is the same as would be found by multiplying the side lengths. Use tiling to show in a concrete case that the area of a rectangle with whole-number side lengths a and b + c is the sum of a × b and a × c. Use area models to represent the distributive property in mathematical reasoning. Recognize area as additive. Find areas of rectilinear figures by decomposing them into non-overlapping rectangles and adding the areas of the non-overlapping parts, applying this technique to solve real world problems. Materials Micah and Nina’s Area Model handout (see attached), pencils, scissors (optional) Task Micah and Nina were trying to determine the area of this rectangle. Micah found the rectangle’s area by adding the products of the following equation: 8x5=aand 7x8=b. Nina found the area by adding the products of the following equations: 2x7=a
using the: Properties of operations Relationship between and division Response includes an efficient and logical progression of steps. response based on explanations/ reasoning using the: Properties based on place value properties of operations between addition and subtraction Response includes a logical progression of steps. explanations/ reasoning using the: Properties of operations Relationship between and division Response includes a logical but incomplete progression of steps. Minor calculation errors. explanations/ reasoning using the: Properties of operations relationship between and division Response includes an incomplete or Illogical progression of steps. work or justification Performance Task #8 Micah and Nina’s Rectangle 3.MD.7– Task 2 Standard(s) Relate area to the operations of multiplication and addition. Find the area of a rectangle with whole-number side lengths by tiling it, and show that the area is the same as would be found by multiplying the side lengths. Use tiling to show in a concrete case that the area of a rectangle with whole-number side lengths a and b + c is the sum of a × b and a × c. Use area models to represent the distributive property in mathematical reasoning. Recognize area as additive. Find areas of rectilinear figures by decomposing them into non-overlapping rectangles and adding the areas of the non-overlapping parts, applying this technique to solve real world problems. Materials Micah and Nina’s Area Model handout (see attached), pencils, scissors (optional) Task Micah and Nina were trying to determine the area of this rectangle. Micah found the rectangle’s area by adding the products of the following equation: 8x5=aand 7x8=b. Nina found the area by adding the products of the following equations: 2x7=a
3rd%20Grade%20Unit%202%202017-2018.docx