In this five lesson unit with overview from Illuminations, student activities explore relationships among fractions through work with the length model. Students construct fraction strips and use fraction bars throughout the unit to make sense of basic fraction concepts, to compare fractions and order fractions and to work with equivalency in fractions. Specific learning objectives, a material list, an instructional plan, questions for the students, assessment options, extensions, and teacher reflections are given for each lesson.

This unit from Illuminations consists of five lessons designed to help students understand fractions when they are represented as a part of a region. Learners investigate relationships between parts and wholes, the relative value of the fraction based on the pattern block shape and equivalency while working with physical and/or virtual pattern blocks. Instructional plan, questions for the students, assessment options, extensions, and teacher reflections are given for each lesson.

This course is an intensive introduction to architectural design tools and process, and is taught through a series of short exercises. The conceptual basis of each exercise is in the interrogation of the geometric principles that lie at the core of each skill. Skills covered in this course range from techniques of hand drafting, to generation of 3D computer models, physical model-building, sketching, and diagramming. Weekly lectures and pin-ups address the conventions associated with modes of architectural representation and their capacity to convey ideas. This course is tailored and offered only to first-year M.Arch students.

This tool allows you to learn about various geometric solids and their properties. You can manipulate each solid, seeing it from every angle. You can also color each shape to explore the number of faces, edges, and vertices. With that information, you are challenged to investigate the following question: For any polyhedron, what is the relationship between the number of faces, vertices, and edges?

The process of redistricting, or redrawing congressional and state legislative boundaries, often becomes politicized. Drawing district lines to create partisan advantages and disadvantages is a tactic known as gerrymandering. Examine interactive resources to explore how changing district lines can affect the balance of partisan power, and evaluate criteria for drawing district lines.

In this Illumination activity, students act as reporters at the Super Bowl. Students study four pictures of things that they would typically find at a football game: players, a scoreboard, a crowd, and a concession stand. Students are asked to create problem situations that correspond to their interpretation of each of the pictures. The lesson includes a student worksheet and extension questions.

This interactive lesson encourages young students to solve problems by estimating angles and distances. They use an applet to give LOGO-like commands, e.g. forward (length), turn (right or left) to make a path that moves a turtle to a pond. Students can create a Path 1 and Path 2 and try to minimize the total path length. There is a newer applet (Turtle Pond, cataloged separately) that allows for adding or editing the commands and a choice of right angles only, or angles in multiples of 15 degrees. The lesson provides suggestions for implementation and discussion questions.

This google slide presentation describes a numeracy routine for grade 2 use during the third quarter. The routine involves sequencing various representations of numbers on a clothesline. Printable materials are included.

This google slide show organizes numberless word problems in a sequence by weeks. This series is recommended for second graders in the third quarter. Teachers can use these with students to promote number sense, composing and decomposing, making sense of word problems, and precise mathematical vocabulary.

In this lesson plan students gather data about the items that they would normally throw in the trash. Once students collect the data they create a bar graph to display the number and kinds of materials they discard and then use this data to create a plan to reduce garbage and help the environment. The lesson plan includes an activity sheet (PDF) for graphing data and extension activity suggestions.

This intereactive Flash applet helps children learn grouping, tally marks, place value, addition, and subtraction. Students help the alien spaceship move cows into corrals by counting by 5s and 10s. They also can apply those grouping skills to practice adding and subtracting two-digit numbers with regrouping. Audio cues and prompts reinforce the user's actions and facilitate counting and the development of math language.

In this activity, learners use their hands as tools for indirect measurement. Learners explore how to use ratios to calculate the approximate height of something that can't be measured directly by first measuring something that can be directly measured. This activity can also be used to explain how scientists use indirect measurement to determine distances between things in the universe that are too far away, too large or too small to measure directly (i.e. diameter of the moon or number of bacteria in a volume of liquid).

This lesson, from Illuminations, gives students practice in measurement and in displaying and interpreting data through box-and-whisker plots. Students may draw the plots themselves or use the online Box Plotter tool. Learning objectives, materials, student questions, extensions, teacher reflections, and NCTM Standards alignment are provided.

In this math lesson, learners read the book "How Big Is a Foot?" by Rolf Myller. Then, learners create non-standard units (using their own footprints) and use the footprints to make "beds." As a result, learners explore the need for a standard unit of measure. This lesson guide includes questions for learners, assessment options, extensions, and reflection questions.

In this math lesson, learners read the book "How Big Is a Foot?" by Rolf Myller to explore the need for a standard unit of measure. Students then create non-standard units (using their own footprints) and use the footprints to make "beds." This lesson guide includes a student activity sheet, questions for learners, assessment options, extensions, and reflection questions.

This lesson emphasizes the connections between science and mathematics by using a performance, or authentic, assessment format. Students will develop measurement skills as they relate the size of their fists to the size of their hearts. Students have the opportunity to explore applications involving their own hearts. An activity sheet (pdf) is included.

In this lesson, students measure the dimensions of their own fist plus the fists of some other people who are older to approximate the size of each person's heart. Next they use construction paper to make a model of their own heart.

In this lesson, students use historical nonstandard units (digits, hand, cubit, yard, foot, pace, fathom) to estimate the lengths of common objects and then measure using modern standard units. They will discover the usefulness of standardized measurement units and tools. An activity sheet (pdf), assessment options and other commentary are provided.

The activities in this 6-lesson unit use fish-shaped crackers to help students develop their understanding of comparative subtraction by exploring five meanings of subtraction (counting, sets, number line, balance, and inverse of addition). Students investigate properties of subtraction, represent subtraction with objects and pictures, record subtraction with vertical notation and equations, create and solve problems, and carry out missing addend activities. Lessons include questions for student discussion and teacher reflection, extensions, printable student sheets, assessment options, and links to online applets.

In this lesson activity students use nonstandard units (baby steps) to measure lengths of different types of "steps" (giant, regular, umbrella, scissor, wooden-soldier, and backwards steps). Once each student gathers this data they will display their own data on a bar graph. Then the class will discuss the data and compare graphs among students. A students worksheet for data collection is included in PDF format.