Students develop their understanding of the effects of invisible air pollutants with a rubber band air test, a bean plant experiment and by exploring engineering roles related to air pollution. In an associated literacy activity, students develop visual literacy and write photograph captions. They learn how images are manipulated for a powerful effect and how a photograph can make the invisible (such as pollutants) visible. Note: You may want to set up the activities for Air Pollution unit, Lessons 2 and 3, simultaneously as they require extended data collection time and can share collection sites.

The goal of this task is to work on finding multiples of some whole numbers.

This task requires students to determine whether a number is rational or irrational. The task assumes that students are able to express a given repeating decimal as a fraction.

This lesson unit is intended to help teachers assess how well students are able to interpret percent increase and decrease, and in particular, to identify and help students who have the following difficulties: translating between percents, decimals, and fractions; representing percent increase and decrease as multiplication; and recognizing the relationship between increases and decreases.

Students use scaling from real-world data to obtain an idea of the immense size of Mars in relation to the Earth and the Moon, as well as the distances between them. Students calculate dimensions of the scaled versions of the planets, and then use balloons to represent their relative sizes and locations.

My goal is to merge New York State standards with Common Core Standards and Integrated Algebra Regent Standards for our 8th grade curriculum.

In this interactive activity adapted from Annenberg Learner's Teaching Math Grades 6–8, explore some of the ways graphs can represent mathematical data contained in a story.

This lesson is regarding the introduction to ratios.  Students will learn what a ratio is, practice finding ratios, and work on making their own ratios. There are YouTube videos, worksheets, and funny images to help students understand ratios.

Dominoes have become a staple in most primary classrooms. They build upon dice patterns and are often used to model decomposition of numbers, building student knowledge of addition facts. They are an excellent manipulative for primary students to use and these are some examples of how students might use dominoes in the math center. Try these domino games with students to improve math skills and number recognition. Encourage students to play these games at home with their families, using real dominoes or paper copies.

Students learn about radar imaging and its various military and civilian applications that include recognition and detection of human-made targets, and the monitoring of space, deforestation and oil spills. They learn how the concepts of similarity and scaling are used in radar imaging to create three-dimensional models of various targets. Students apply the critical attributes of similar figures to create scale models of a radar imaging scenario using infrared range sensors (to emulate radar functions) and toy airplanes (to emulate targets). They use technology tools to measure angles and distances, and relate the concept of similar figures to real-world applications.

When students plot irrational numbers on the number line, it helps reinforce the idea that they fit into a number system that includes the more familiar integer and rational numbers.

A team of middle school teachers developed an integrated unit spanning math, social studies and ELA, and focused the unit centering on the life of Galileo, including some of his investigations, his beliefs based on evidence, and his conflicts with the Catholic church.

Students explore the concept of "reducing" solid waste and how it relates to product packaging and engineering advancements in packaging materials. They read about and evaluate the highly publicized packaging decisions of two major U.S. corporations. Then they evaluate different ways to package items in order to minimize the environmental impact, while considering issues such as cost, availability, product attractiveness, etc. In addition, students explore "hydropulping" and consider its use as a recycling process.

Through multi-trial experiments, students are able to see and measure something that is otherwise invisible to them seeing plants breathe. Student groups are given two small plants of native species and materials to enclose them after watering with colored water. After being enclosed for 5, 10 and 15 minutes, teams collect and measure the condensed water from the plants' "breathing," and then calculate the rates at which the plants breathe. A plant's breath is known as transpiration, which is the flow of water from the ground where it is taken up by roots (plant uptake) and then lost through the leaves. Students plot volume/time data for three different native plant species, determine and compare their transpiration rates to see which had the highest reaction rate and consider how a plant's unique characteristics (leaf surface area, transpiration rate) might figure into engineers' designs for neighborhood stormwater management plans.

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: #### Materials * 10-15 quart plastic bags of various counters (different numbers of counters in each bag) * A recording sheet for the activity with pic...

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Materials The Napping House by Audrey Wood One ten-frame for each child (see PDF for black line master) 6-10 counters per child Actions The teacher rea...

In this activity, students filter different substances through a plastic window screen, different sized hardware cloth and poultry netting. Their model shows how the thickness of a filter in the kidney is imperative in deciding what will be filtered out and what will stay within the blood stream.

Up to this point in Grade K, students have worked intensively within 10 and have often counted to 30 using the Rekenrek during fluency practice. This work sets the stage for this module where students clarify the meaning of the 10 ones and some ones within a teen number and extend that understanding to count to 100.

Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.