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Mathematics

Mathematics Year 2 Inclusion Tasks

Inclusion tasks are tasks designed specifically for use by students and are eligible for inclusion in a Collection of Evidence. These tasks have been created by teachers throughout the State of Washington. They have undergone a peer review process and are edited to assure alignment with state standards. The inclusion tasks have been set apart from the Classroom Practice Tasks for a number of reasons and are therefore not to be used for instructional purposes. The tasks are assured to be aligned to a number of Reporting Strands and will address at least two Performance Expectations in two different strands. The tasks and resulting work samples are built and developed around important mathematics skills. These are the same skills assessed on the state assessment through the End of Course (EOC) exam. With inclusion tasks, teachers will need to limit their assistance so the work sample is truly a reflection of student work. Inclusion tasks will be in PDF format and are not to be edited. The goal is to have enough tasks in the inclusion bank so that the students have a wide variety of tasks and topics to choose from.

Only inclusion tasks are eligible for inclusion in a student Collection of Evidence to be submitted for scoring. These tasks are not to be used for classroom instructional purposes.
 
All of the tasks found here are for review purposes only.

The excerpts below are intended to give you an overview of the task, understand all PEs addressed in the task, and the overall context of the task.

Full access to the Mathematics Year 1 and Year 2 tasks are available through the secure EDS account established in your district. Once an EDS account has been established, you can print all of the complete tasks by assigning them to students.

For more information about inclusion tasks please contact coemath@k12.wa.us.
Abbotsford to Oroville

(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.

Balto and Jenna

(M2.3.I, M2.5.C)
(G.3.C, G.6.F)

Balto and Jenna, two Sled Dogs, need to get medicine back to Rosy’s house on Rollins Road. They are currently at the place where the Forest Path meets Mahaffie Lane. The musher can direct the dogs to cross the river at the North Bridge or at the South Bridge. The Forest Path meets Rollins Road at the North Bridge. Rollins Road runs north-south, perpendicular to Mahaffie Lane which runs east-west.
Beading Design                                              

(M2.3.M, M3.2.A, M2.6.B,C)
(G.4.C, G.5.A, G.7.B,C)

You are beading a design and will be using a coordinate grid to draw the design and help you determine the number of beads needed for the design.
Collecting Rainwater 

(M2.3.I, M2.5.C, M2.6.F)
(G.3.C, G.6.F, G.7.F)

You have just been hired as chief mathematician by Naldo and Eva who own a company that makes containers to collect rainwater for various agricultural and personal uses. The company has one design, shown below. Your job is to perform mathematical analysis for the owners.
Constructing a Baseball Diamond

(M2.3.J, M2.6.G)
(G.3.F, G.7.G)

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.

Designing a Garden

(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).

Field Irrigation

(M3.7.C, M2.5.C, M2.6.B)
(G.3.I, G.6.F, G.7.B)
 
Farmer Joe purchased a plot of land.  On the plot there is a house and a barn.  Joe wants to add a circular field for growing crops.  To water the crops, he will drill a well in the center of the field and build an irrigation system that rotates in a circle about the well. These systems are also called a center pivot irrigation system. 

Fuel for Spaceship

(M2.3.F, M2.3.H, M3.7.D)
(G.3.B, G.3.E, G.6.A)

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.

Ice Cream Containers
(M3.5.D, M2.5.C, M2.6.G)
(G.6.C, G.6.F, G.7.G)

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.

Kitchen Tiling

(M2.3.B, M2.3.J, M2.3.H, M2.6.E)
(G.1.E, G.3.F, G.3.E, G.7.E)

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.

Making a Jewelry Box                                                    

(M3.5.E, M2.5.C, M2.6.B)
(G.6.D, G.6.F, G.7.B)

While in Wood Design class, Peggy decided to make a jewelry box, shaped like a trapezoidal prism, with a lid for her younger sister. After sketching her plans, she asks her mother to review them. 

The New Deck

(M2.5.B, M1.4.E, M1.3.H)
(G.6.E, G.2.A, G.4.A)

Nathan wants to build a new deck on the back of his house. He decides the best way to make sure the deck is built correctly is to design it on graph paper first. He will measure and mark everything carefully and then build the deck off the plans he has drawn up. One problem he immediately runs into is that his deck will be a non-rectangular quadrilateral as a result of a large rock he needs to build around.

New Teepee

(M3.5.D, M2.3.G, M2.6.B)
(G.6.C, G.3.D, G.7.B)

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. 

The Paper Route 

(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.

Play Ball 

(M3.7.D, M2.5.C) 

(G.6.A, G.6.F)

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

(M2.3.C, M2.3L)
(G.1.D, G.4.B)

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 Gallway 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 Gallway 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.

Special Shells                                                                 

(M2.3.I, M2.3.G)
(G.3.C, G.3.D)

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.

Square Design

(M2.3.I, M2.3.J, M2.3.L, M2.6.B, M3.7.B)
(G.3.C, G.3.F, G.4.B, G.7.B, G.4.D) 

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.

Stained Glass Window                                 

(M2.3.F, M2.3.G)
(G.3.B, G.3.D)

Roger designed a stained glass window.  The outline of the window is rectangle ACEG and the polygons will be filled in with different colored glass.

Swimming Pool

(M2.5.C, M3.5.D)
(G.6.F, G.6.C)

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

(M2.3.L, M3.2.C)
(G.4.B, G.5.C)

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.