In Module 1, students’ understanding of the patterns in the base ten system are extended from Grade 4’s work with place value of multi-digit whole numbers and decimals to hundredths to the thousandths place. In Grade 5, students deepen their knowledge through a more generalized understanding of the relationships between and among adjacent places on the place value chart, e.g., 1 tenth times any digit on the place value chart moves it one place value to the right. Toward the module’s end students apply these new understandings as they reason about and perform decimal operations through the hundredths place.

In Module 2, students apply the patterns of the base ten system to mental strategies and the multiplication and division algorithms.

In order to assist educators with the implementation of the Common Core, the New York State Education Department provides curricular modules in P-12 English Language Arts and Mathematics that schools and districts can adopt or adapt for local purposes. The full year of Grade 7 Mathematics curriculum is available from the module links.

This lesson introduces the MRI Safety Grand Challenge question. Students are asked to write journal responses to the question and brainstorm what information they will need to answer the question. The ideas are shared with the class and recorded. Students then watch a video interview with a real life researcher to gain a professional perspective on MRI safety and brainstorm any additional ideas. The associated activity provides students the opportunity to visualize magnetic fields.

This lesson introduces the Bone Module Grand Challenge question. Students are asked to write their initial responses to the question alone. They will then brainstorm ideas with one other student. Finally, the ideas are shared with the class and recorded. It is important for students to gather information to decide whether or not this condition is hereditary. Students then watch two videos about osteoporosis. Grand Challenge Question: When you get home from school, your mother grabs you, and you rush to the hospital. Your grandmother fell and was rushed to the emergency room. The doctor tells your family your grandmother has a fractured hip, and he is referring her to an orthopedic specialist. The orthopedic doctor decides to perform a DEXA scan. The result showed her bone mineral density (BMD) was -3.3. What would be a probable diagnosis to her condition? What are some possible causes of her condition? Should her family be worried that this condition is hereditary, and if so, what are possible prevented measures they could take to prevent this from happening to them? What statistical method did you use to determine if the condition is hereditary?

Students are introduced to the Robotics Peripheral Vision Grand Challenge question. They are asked to write journal responses to the question and brainstorm what information they require to answer the question. Their ideas are shared with the class and recorded. Then, students share their ideas with each other and brainstorm any additional ideas. Next, students draw a basis for the average peripheral vision of humans and then compare that range to the range of two different focal lengths in a camera. Through the associated activity provides, students see the differences between human and computer vision.

Students use graph theory to create social graphs for their own social networks and apply what learn to create a graph representing the social dynamics found in a dramatic text. Students then derive meaning based on what they know about the text from the graphs they created. Students learn graph theory vocabulary, as well as engineering applications of graph theory.

Students learn about an important characteristic of lines: their slopes. Slope can be determined either in graphical or algebraic form. Slope can also be described as positive, negative, zero or undefined. Students get an explanation of when and how these different types of slope occur. Finally, they learn how slope relates to parallel and perpendicular lines. When two lines are parallel, they have the same slope and when they are perpendicular their slopes are negative reciprocals of one another.

The Great Pacific Garbage Patch (GPGP) is an intriguing and publicized environmental problem. This swirling soup of trash up to 10 meters deep and just below the water surface is composed mainly of non-degradable plastics. These plastic materials trap aquatic life and poison them by physical blockage or as carriers of toxic pollutants. The problem relates to materials science and the advent of plastics in modern life, an example of the unintended consequences of technology. Through exploring this complex issue, students gain insight into aspects of chemistry, oceanography, fluids, environmental science, life science and even international policy. As part of the GIS unit, the topic is a source of content for students to create interesting maps communicating something that they will likely begin to care about as they learn more.

Students are introduced to innovative stormwater management strategies that are being used to restore the hydrology and water quality of urbanized areas to pre-development conditions. Collectively called green infrastructure (GI) and low-impact development (LID) technologies, they include green roofs and vegetative walls, bioretention or rain gardens, bioswales, planter boxes, permeable pavement, urban tree canopy, rainwater harvesting, downspout disconnection, green streets and alleys, and green parking. These approaches differ from the traditional centralized stormwater collection system with the idea of handling stormwater at its sources, resulting in many environmental, economic and societal benefits. A PowerPoint® presentation provides photographic examples, and a companion file gives students the opportunity to sketch in their ideas for using the technologies to make improvements to 10 real-world design scenarios.

In this lesson, the students will investigate what types of plants and insects they could eat to survive in the Amazon. They will research various plants and/or insects and identify characteristics that make them edible or useful for the trip. The students will create posters and present their findings to the class.

The marine environment is unique and requires technologies that can use sound to gather information since there is little light underwater. The sea-floor is characterized using underwater sound and acoustical systems. Current technological innovations are allowing scientists to further understand and apply information about animal locations and habitat. Remote sensing and exploration with underwater vehicles allows scientists to map and understand the sea floor, and in some cases, the water column. In this lesson, the students will be shown benthic habitat images produced by GIS. These imaged will lead to a class discussion on why habitat mapping is useful and how current technology works to make bathymetry mapping possible. The teacher will then ask inquiry-based questions to have students brainstorm about the importance of bathymetry mapping.

Students explore the concept of similar right triangles and how they apply to trigonometric ratios. Use this lesson as a refresher of what trig ratios are and how they work. In addition to trigonometry, students explore a clinometer app on an Android® or iOS® device and how it can be used to test the mathematics underpinning trigonometry. This prepares student for the associated activity, during which groups each put a clinometer through its paces to better understand trigonometry.

This lesson introduces the ways that engineers study and harness the wind. Students will learn about the different kinds of winds and how to measure wind direction. In addition, students will learn how air pressure creates winds and how engineers build and test wind turbines to harness energy from wind.

In this lesson, students investigate sources of fossil fuels, particularly oil. Students will learn how engineers and scientists look for oil by taking core samples from a model of the Earth. Also, students will explore and analyze oil consumption and production in the United States and around the world.

Students learn about the heart and its role at the center of the human cardiovascular system. In the associated activity, students play out a scenario in which they are biomedical engineers asked to design artificial hearts. They learn about the path of blood flow through the heart and use that knowledge to evaluate designs of artificial hearts on the market.

This lesson describes how the circulatory system works, including the heart, blood vessels and blood. Students learn about the chambers and valves of the heart, the difference between veins and arteries, and the different components of blood. This lesson also covers the technology engineers have developed to repair the heart if it is damaged. Students also understand how the circulatory system is affected during spaceflight (e.g., astronauts lose muscle in their heart during space travel).

Students learn about the form and function of the human heart through lecture, research and dissection. They brainstorm ideas that pertain to various heart conditions and organize these ideas into categories that help them research possible solutions. An expert in the field of cardiac valve research was interviewed for this lesson and shares his ideas with the class. Students conclude by researching various possible heart defects.

Students learn the fundamental concepts of heat transfer and heat of reaction. This includes concepts such as physical chemistry, an equation for heat transfer, and a basic understanding of energy and heat transfer.