Under the Cloak

Area and Perimeter

3rd Grade

CCSS 3.MD.C.5CCSS 3.MD.C.6CCSS 3.MD.C.7CCSS 3.MD.D.8

Storyline

When a prototype stealth vessel vanishes without any explanation, the crew will apply their knowledge of area and perimeter to find it.

First, the crew will put out a fire in the lighthouse by calculating the area of each room. Then, they will look for a stealth ship by determining which ship a smaller ship could fit inside. Finally, they will go after Patient 19 in a space debris field and evaluate perimeters to determine which path Patient 19 took.

Est. time: 32 min.

Targeted Standards

CCSS 3.MD.C.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.

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.

CCSS 3.MD.C.6 Measure areas by counting unit squares (square cm, square m, square in, square ft, and improvised units).

CCSS 3.MD.C.7 Relate area to the operations of multiplication and addition.

A. 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.

B. Multiply side lengths to find areas of rectangles with whole-number side lengths in the context of solving real world and mathematical problems, and represent whole-number products as rectangular areas in mathematical reasoning.

C. 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.

D. 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.

CCSS 3.MD.D.8 Solve real world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, and exhibiting rectangles with the same perimeter and different areas or with the same area and different perimeters.

3-Dimensional Science

Science and Engineering Practices

Asking Questions and Defining Problems

The crew faces the problem of locating the missing stealth vessel and apprehending Patient 19.

Developing and Using Models

The crew uses blueprints and data to identify the hiding spot of the stealth vessel and potential flight paths of Patient 19.

Planning and Carrying Out Investigations

The crew scans the area to find potential hiding spots and flight paths of Patient 19.

Analyzing and Interpreting Data

The crew analyzes the scanned data to identify the shortest flight path and hiding spot of Patient 19.

Using Mathematics and Computational Thinking

The crew uses mathematics to calculate areas and perimeters to locate the hiding spot of the stealth vessel.

Engaging in Argument from Evidence

The crew debates and discusses which hiding spot and flight path is the most probable for Patient 19.

Obtaining, Evaluating, and Communicating Information

The crew communicates with each other and with Patient 19 to locate the stolen stealth vessel.

Crosscutting Concepts

Cause and Effect

The crew's actions and decisions have consequences on the success of the mission, such as locating the stealth vessel and apprehending Patient 19.

Patterns

The crew uses patterns in scanning to identify potential hiding spots and flight paths of Patient 19's stolen ship.