Instructional
Outcomes
3.MD.5: Recognize area as an attribute
of plane figures and understand concepts of area measurement:
a. A
square with side length 1 unit, called “a unit square,” is said to have
“one square unit” of area, and can be used to measure area.
·
I can define
“unit square”.
·
I can define
area.
b. A
plane figure which can be covered without gaps or overlaps by n unit
squares is said to have an area of n square units.
·
I
can find the area of a plane figure using unit squares.
·
I
can cover the area of a plane figure with unit squares without gaps or
overlaps.
3.MD.6:
Measure areas
by counting unit squares (square cm, square m, square in, square ft, and
improvised units).
·
I
can measure areas by counting unit squares.
·
I
can use unit squares of cm, m, in, ft, and other sizes of unit squares to
measure area.
3.MD.7:
Relate area to
the operations of multiplication and addition.
a.
Find the area of a rectangle with wholenumber side lengths by tiling it,
and show that the area is the same as would be found by multiplying the
side lengths.
·
I
can find the area of a rectangle by tiling it in unit squares.
·
I
can find the side lengths of a rectangle in units.
·
I
can compare the area found by tiling a rectangle to the area found by
multiplying the side lengths.
b.
Multiply side lengths to find areas of rectangles with wholenumber side
lengths in the context of solving real world and mathematical problems, and
represent wholenumber products as rectangular areas in mathematical
reasoning.
·
I
can multiply side lengths to find areas of rectangles.
·
I
can solve real world problems using area.
·
I
can use arrays to represent multiplication problems.
c. Use
tiling to show in a concrete case that the area of a rectangle with
wholenumber 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.
·
I
can use an array to multiply.
·
I
can find the area of a rectangle by modeling the distributive property
using multiplication and addition.
·
I
can use tiling to find the area of rectangles using the distributive
property.
d.
Recognize area as additive. Find the areas of rectilinear figures by
decomposing them into nonoverlapping rectangles and adding the areas of
the nonoverlapping parts, applying this technique to solve real world
problems.
·
I
can find areas of rectangles.
·
I
can add area of rectangles.
·
I
can recognize that areas of each rectangle in a rectilinear (straight line)
figure can be added together to find the area of the figure.
·
I
can separate a polygon into rectangles to find the area of each rectangle
to solve real world problems.
·
I
can separate polygons into nonoverlapping rectangles.
