When war broke out against Mexico in May 1846, the United States Army numbered a mere 8,000, but soon 60,000 volunteers joined their ranks. The American Navy dominated the sea. The American government provided stable, capable leadership. The economy of the expanding United States far surpassed that of the fledgling Mexican state. Morale was on the American side. The war was a rout.

In January of 1848, a man named James Marshall innocently noticed a few shiny flecks in a California stream at Sutter's Mill. Word spread of gold and soon people from all over California flocked inland seeking instant fortune. By autumn, word had reached the east, and once again Americans earned their reputation as a migratory people. During the year that followed, over 80,000 "forty-niners" flocked to California to share in the glory. Some would actually strike it rich, but most would not.

Most modern American citizens consider Great Britain to be their European "parent" country. However, by the time British arrived in the New World and established their first permanent settlement at Jamestown in 1607, much of the continent had already been claimed by other European nations.

In this unit students will build upon their experiences with geometry in earlier grades. Seventh grade students use these skills to informally construct geometric figures.

Manipulatives, dynamic geometry, and tools like rulers and protractors will be particularly helpful with this unit. A particular focus in this unit is the construction of triangles when given combinations of measures of three angles and/or sides. Students will investigate which of these combinations create unique triangles, more than one triangle, or no triangle at all. Students will use the angle-angle criterion to determine similarity.

Angle relationships generated by intersecting lines including supplementary, complementary, adjacent, and vertical angles are also used in problem solving. Using these relationships, students will make conjectures and solve multistep problems with angles created by parallel lines cut by a transversal. They will also examine both angle sums of polygons and exterior angles.

Students will know and use formulas for the area and circumference of a circle and be able to determine the relationship between them.

This lesson unit is intended to help teachers assess how well students are able to visualize two-dimensional cross-sections of representations of three-dimensional objects. In particular, the lesson will help you identify and help students who have difficulties recognizing and drawing two-dimensional cross-sections at different points along a plane of a representation of a three-dimensional object.

This lesson unit is intended to help teachers assess how well students are able to visualize two-dimensional cross-sections of representations of three-dimensional objects. In particular, the lesson will help you identify and help students who have difficulties recognizing and drawing two-dimensional cross-sections at different points along a plane of a representation of a three-dimensional object.

This Demonstration illustrates the concept of rotating a 2D polygon. The rotation matrix is displayed for the current angle. The default polygon is a square that you can modify.

Unit abstract

The following lessons come from the Everyday Math (version 4) curriculum.  I have adapted the lessons by including face-to-face small group lessons, specific technology activities, and center activities (some being small group/buddy and some being independent).  I will be using a group rotation model during the implementation of this unit.  Each day will include a 1 hour block of time, with 20 minutes for each rotation.

Students will learn about attributes of two dimensional shapes.  Students will learn about defining and nondefining attributes of shapes.  Students will explore shapes through a building activity.  Students will combine two dimensional shapes to make composite figures.

Lesson 7.5  Attributes of shapes

Lesson 7.7  Defining and Nondefining Attributes

Lesson 8.1  Building shapes with Defining Attributes

Lesson 8.5  Combining 2-Dimensional Shapes

This description of this activity is a 2-day lesson: Day 1, Field Lab, Day 2, and Classroom Investigation.
In this field lab, children working in groups will collect 3 samples of soil from different locations. Each sample will be placed in a different Ziploc bag, the groups will label the bags and record in their notebooks the location of each sample, including 5 observations about the area near the location the sample was taken from. They will need to make a plan on how to record and label the bags and locations so when we return to the classroom they will have a system for knowing the location. Individually, each student will also include in his/her notebook a question about each area or the soil collected. Groups will discuss own observation/questions. Each group will share 2 observations they made and 1 question they are wondering. The groups will bring their soil samples back to the classroom. Once back in the classroom, the students will work to create a data recording system and develop an investigable question about the soil. The students will also have available other sample soils provided by the teacher. Students will use the materials and observe the soils and record their findings. The groups would share their data and create a class chart of the information. Ask: What can we notice from this information? What questions do you have about the information?

In the previous unit children learned the procedures and routines needed to carry on with some independence as they begin building reading stamina. This unit continues with those routines and building stamina as students begin working on emergent storybook reading in a focused and concentrated way.In this unit children read emergent storybooks. Emergent storybook reading comes from Elizabeth Sulzby’s work on emergent literacy. The premise behind emergent storybook reading is that as students are exposed to the multiple readings of the emergent storybooks they begin to read these books on their own. Through these readings and familiarity of the emergent storybooks students’ begin to develop deeper understandings of the text, a strong sense of language and an increased desire to read independently.The first part of this units focuses on ways readers can read books using all they know to help themselves read. Early strategies like predicting and rereading are introduced. The way students read emergent story books develops over time; some children’s construction of the story will probably first involve looking at and commenting on each picture. Over time, all children learn to approximate and read the way the story sounds as if the child were reproducing the words and cadence of the text.The second part of this unit focuses on how readers study, think and grow ideas about books. They use their partners to talk about their thinking and share their understandings.The unit ends with readers trying different ways to read and share their books through retellings and acting out their favorite parts. This unit supports many of the Common Core State Standards, one of which states thatstudents need to engage in many different ways of reading independently and in partnerships with purpose and understanding.This unit should include the opportunity to introduce book bags and book shopping days. Students should have the chance to keep books until the next time they shop for new books. It is highly recommended that students shop for books (up to ten emergent story books) outside of reading workshop. This helps with management and time. Students may shop for ‘Look Books’ or the teacher can continue to use the tubs from unit 1 (adding new titles as needed). Since students will continue to have time allotted to read “Look Books” like the ones available in unit 1, the teacher should decide how to help students differentiate between emergent story books and Look Books.

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 aspects of the task and its potential use.

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 aspects of the task and its potential use.

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 aspects of the task and its potential use.

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 aspects of the task and its potential use.

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: * Color the inside of all the triangles blue. * Color the inside of all the quadrilaterals red. * Color the inside of all the pentagons orange. * Color...

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 * Alexander, Who Used to be Rich Last Sunday by Judith Viorst * Plastic coins * Labels for items Alexander spent his money on (attached) * Pa...

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 * Alexander, Who Used to be Rich Last Sunday by Judith Viorst * Plastic coins * Labels for items Alexander spent his money on (attached) * Pa...

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: One day, Frog and Toad were sitting together on a lily pad. Some lily pads were in a line across the pond. In the morning, Frog hopped three lily pads ...

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: One day, Frog and Toad were sitting together on a lily pad. Some lily pads were in a line across the pond. In the morning, Frog hopped three lily pads ...