(M2.6.B, M2.3.H, M2.3.G)
(G.7.B, G.3.E, G.3.D)
An international trade agreement has greatly increased truck traffic between the cities of Abbotsford and Oroville. To handle this traffic, the Highway Construction Board will build a new highway connecting Oroville to I-60.
(M2.3.M, M3.2.A, M2.6.B,C)
(G.4.C, G.5.A, G.7.B,C)
(M2.3.I, M2.5.C, M2.6.F)
(G.3.C, G.6.F, G.7.F)
Scott wanted to build a regulation sized baseball field in a large field behind his house. Scott knew very little about building an actual baseball field, so he looked up information about baseball fields on the internet.
(M2.3.K, M2.3.L, M2.6.E)
(G.3.G, G.4.B, G.7.E)
John is designing a regular hexagonal garden. He plotted regular hexagon BCDEFG on a coordinate grid with E at (5, 1) and F at (2, 1).
Fuel for Spaceship
Ed was flying in his spaceship toward the planet Zebulon and its three moons, Argo, Belo, and Calo. Ed planned to stop at one of the fueling stations on the moons. When Ed arrived at the planet, he needed to decide which fueling station was closest to his spaceship.
Amanda goes to Mr. Smith’s ice cream shop to buy some ice cream. She has the choice of a variety of ice cream containers to choose from. She wants to make her decision based strictly on the volume of the container. Mr. Smith tells her that all of the containers have the same height since they have to fit in the same cabinet. The cabinet height is 10 inches.
James is retiling his kitchen floor. Each tile is a non-rectangular rhombus. One diagonal of the tile is 13 inches long and that diagonal bisects an angle that has a measure of 132 degrees.
The New Deck
(M2.5.B, M1.4.E, M1.3.H)
(G.6.E, G.2.A, G.4.A)
Stormy Retasket needs a new teepee for the Stampede encampment. He will use 12 poles, making the base a regular dodecagon. He will reuse his existing poles but will need to buy new canvas and base liner. He will use rip-stop nylon for the base liner and 28-pound canvas for the cover.
(M2.3.B, M1.4.F, M1.4.D)
(G.1.E, G.2.B, G.3.B)
Ghedi has a paper route in his neighborhood. To help him plan his route, he draws a partial map of his neighborhood and labels several angles 1 through 6. In the map, Pine Road is parallel to Alder Road and Ash Street is parallel to Cedar Street.
The city is constructing a new baseball field. The first baseline and third baseline are perpendicular. The outfield fence is 350 feet from home plate. The distance between the bases is 90 feet. The infield line is 135 feet from home plate. The pitcher’s mound has a diameter of 18 feet and is covered in dirt.
Round Table Tops
Dominique has a new job constructing circular table tops with a 50-inch diameter. One of her jobs is to program and monitor the machine that puts plastic protective strip around the circumference of the table top. When the machine puts the plastic protective strip against the circular table top, it reminds Dominique of a line tangent to the circle.
Sailing on Galway Bay
(M2.3.D, M1.4.F, M2.3.H; M2.6.B)
(G.1.F, G.2.B, G.3.E, G.7.B)
A boat is sailing on Galway Bay which is famous for its flat, even floor and smooth surface. The captain of the boat wants to use the length of the anchor rope, a yardstick, and an inclinometer to estimate the depth of the bay.
Dr. Oren is studying snail shells that have unique shapes made of right triangles. One of the snails, that Dr. Oren has named Sally, has a shell made of four 30˚-60˚-90˚ triangles. Dr. Oren drew a sketch of Sally’s shell.
Super Square Designs!
Tyrone was bored in English class one day and began creating a design using squares. He began his pattern by constructing one large square. He then connected the midpoints of each side of the square to create a new quadrilateral inscribed within the original square. He repeated those steps one more time, resulting in this figure.
As a result of some sound financial decisions, Mrs. Aru Shure has received a large sum of money. She would like to use a majority of the money to install a swimming pool in her backyard. She has decided on this design for the pool.
Transformations and Symmetry
Four of the vertices of pentagon ABCDE are A (0, 3), B (-1, 1), C (-5, 3), and D (-4, 5). Point E lies on the perpendicular bisector of BC and is exactly 5 units away from point A.