Student Work

Shown here are the final drafts of student work on the Backyard Plan. (Learners should keep all drafts of their work so that they can assess their own progress.) Photos of student work can also be taken and shared. Classroom discussion of learners’ first drafts and scale drawing focused on the rubric learners were given. The peer review format was then implemented as a tool for input and learners used the feedback from their peers to refine and redesign their work.

GARDEN VARIETY GEOMETRY

Formulas

(With key words to help you remember when to use them.)

Perimeter of a square or a rectangle (FENCE)

P = 2l + 2w where l = length and w = width.

Circumference (CIRCULAR PATH) (BORDER)

C = p d or C = p 2r where p = 3.14 or 22/7, and d = diameter
and r = radius. D = 2r.

Area of a rectangle (A square is always a rectangle.) (GRASS)

A = L x W where L = length and W = width.

Area of a circle (GRASS)

A = p r² where p = 3.14 or 22/7 and r = radius. R= d/2.

Volume of a rectangular solid (CEMENT)

V = L x W x H where L = length, W = width and H = height.

Volume of a cylinder (CEMENT)

V =Pi x R squared x H where Pi = 3.14 or 22/7, R = radius, and H = height

Problems to solve to plan a better backyard

The family dog has always been kept on a chain, but the backyard has become a mess. The family has decided to get rid of the chain and replace the grass in the muddy area. They want to fence in the backyard and build a doghouse on a cement pad. They also want to put in a flagpole surrounded by a flower garden that is bordered by decorative brick. Look at the diagram of the backyard to find the information needed to solve the problems to plan a better backyard.

GARDEN VARIETY GEOMETRY

VOCABULARY REVIEW

NAME:________________________

DATE:____________________

TERM DEFINITION

Formula	a rule that uses letters in place of numbers
Perimeter	distance around a plane figure or a flat object
Circumference	distance around a circle
Area	amount of surface within the perimeter of a flat figure
Volume	amount of space inside something, a 3-D figure
Rectangle	4 sided figure with 4 right angles, and two pairs of equal sides
Square	4 sided figure with 4 right angles, and 4 equal sides
Rectangular solid	box-shaped figure
Length	longer side, first dimension
Width	shorter side, second dimension
Height	thickness of a figure, third dimension
Circle	a curved figure where all points on the circle are an equal distance from the center
Radius	distance from the center to the circle represented by a line from the center to any position on the curve
Diameter	distance across the circle, represented by a line that goes from one side to the other through the center
Cylinder	can-shaped figure
Pi	Greek word that represents the value of 3.14 or 22/7 Pi stands for the ratio between the circumference and the diameter of a given circle

12 inches = 1 foot 3 feet = 1 yard

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