Students will create an artifact using Tinkercad and a 3D printer. The …

Students will create an artifact using Tinkercad and a 3D printer. The artifact must be a product that distinctly relates to their subject. orStudents will create a holographic presentation using Cospace and Merge Cube. The hologram will be representative of something distinct to their subject matter.

Students will create a digital presentation of their topic. Areas highlighted will …

Students will create a digital presentation of their topic. Areas highlighted will be Human-Environment Interaction, Politics, Economics, Culture (to include Religion) and Technology. Students will also discuss the important points of the previously created timeline.

Kindergartners measure each other's height using large building blocks, then visit a …

Kindergartners measure each other's height using large building blocks, then visit a 2nd and a 4th grade class to measure those students. They can also measure adults in the school community. Results are displayed in age-appropriate bar graphs (paper cut-outs of miniature building blocks glued on paper to form a bar graph) comparing the different age groups. The activities that comprise this lesson help students develop the concepts and vocabulary to describe, in a non-ambiguous way, how height changes as children get older. The introduction to graphing provides an important foundation for both creating and interpreting graphs in future years.

Students can learn to visualize the effects of multiplying a fixed positive …

Students can learn to visualize the effects of multiplying a fixed positive number by positive numbers greater than 1 and less than 1 with this tool. Using interactive figures, students can investigate how changing the height of a rectangle with a fixed width changes its area. e-Math Investigations are selected e-examples from the electronic version of the Principles and Standards of School Mathematics (PSSM). The e-examples are part of the electronic version of the PSSM document. Given their interactive nature and focused discussion tied to the PSSM document, the e-examples are natural companions to the i-Math investigations.

Rational Numbers Type of Unit: Concept Prior Knowledge Students should be able …

Rational Numbers

Type of Unit: Concept

Prior Knowledge

Students should be able to:

Solve problems with positive rational numbers. Plot positive rational numbers on a number line. Understand the equal sign. Use the greater than and less than symbols with positive numbers (not variables) and understand their relative positions on a number line. Recognize the first quadrant of the coordinate plane.

Lesson Flow

The first part of this unit builds on the prerequisite skills needed to develop the concept of negative numbers, the opposites of numbers, and absolute value. The unit starts with a real-world application that uses negative numbers so that students understand the need for them. The unit then introduces the idea of the opposite of a number and its absolute value and compares the difference in the definitions. The number line and positions of numbers on the number line is at the heart of the unit, including comparing positions with less than or greater than symbols.

The second part of the unit deals with the coordinate plane and extends student knowledge to all four quadrants. Students graph geometric figures on the coordinate plane and do initial calculations of distances that are a straight line. Students conclude the unit by investigating the reflections of figures across the x- and y-axes on the coordinate plane.

Four full-year digital course, built from the ground up and fully-aligned to …

Four full-year digital course, built from the ground up and fully-aligned to the Common Core State Standards, for 7th grade Mathematics. Created using research-based approaches to teaching and learning, the Open Access Common Core Course for Mathematics is designed with student-centered learning in mind, including activities for students to develop valuable 21st century skills and academic mindset.

Proportional Relationships Type of Unit: Concept Prior Knowledge Students should be able …

Proportional Relationships

Type of Unit: Concept

Prior Knowledge

Students should be able to:

Understand what a rate and ratio are. Make a ratio table. Make a graph using values from a ratio table.

Lesson Flow

Students start the unit by predicting what will happen in certain situations. They intuitively discover they can predict the situations that are proportional and might have a hard time predicting the ones that are not. In Lessons 2–4, students use the same three situations to explore proportional relationships. Two of the relationships are proportional and one is not. They look at these situations in tables, equations, and graphs. After Lesson 4, students realize a proportional relationship is represented on a graph as a straight line that passes through the origin. In Lesson 5, they look at straight lines that do not represent a proportional relationship. Lesson 6 focuses on the idea of how a proportion that they solved in sixth grade relates to a proportional relationship. They follow that by looking at rates expressed as fractions, finding the unit rate (the constant of proportionality), and then using the constant of proportionality to solve a problem. In Lesson 8, students fine-tune their definition of proportional relationship by looking at situations and determining if they represent proportional relationships and justifying their reasoning. They then apply what they have learned to a situation about flags and stars and extend that thinking to comparing two prices—examining the equations and the graphs. The Putting It Together lesson has them solve two problems and then critique other student work.

Gallery 1 provides students with additional proportional relationship problems.

The second part of the unit works with percents. First, percents are tied to proportional relationships, and then students examine percent situations as formulas, graphs, and tables. They then move to a new context—salary increase—and see the similarities with sales taxes. Next, students explore percent decrease, and then they analyze inaccurate statements involving percents, explaining why the statements are incorrect. Students end this sequence of lessons with a formative assessment that focuses on percent increase and percent decrease and ties it to decimals.

Students have ample opportunities to check, deepen, and apply their understanding of proportional relationships, including percents, with the selection of problems in Gallery 2.

Students are asked whether they can determine the number of books in …

Students are asked whether they can determine the number of books in a stack by measuring the height of the stack, or the number of marbles in a collection of marbles by weighing the collection.Students are asked to identify for which situations they can determine the number of books in a stack of books by measuring the height of the stack or the number of marbles in a collection of marbles by weighing the collection.Key ConceptsAs students examine different numerical relationships, they come to understand that they can find the number of books or the number of marbles in situations in which the books are all the same thickness and the marbles are all the same weight. This “constant” is equal to the value BA for a ratio A : B; students begin to develop an intuitive understanding of proportional relationships.Goals and Learning ObjectivesExplore numerical relationshipsSWD: Some students with disabilities will benefit from a preview of the goals in each lesson. Have students highlight the critical features or concepts to help them pay close attention to salient information.

In this assessment task students are asked to choose an object in …

In this assessment task students are asked to choose an object in the classroom and are asked to tell two ways they can measure the object. Students should use measurement words such as tall, short, long, heavy or light to tell how they can measure the objects weight, height or length. Teachers can assess in whole class or small group. An assessment recording sheet and rubric are provided.

In this assessment task the student will determine the length and height …

In this assessment task the student will determine the length and height of a shape on a flashcard. They will be asked to use comparing words such as longer or shorter to tell about length of two rectangles. They will also be asked to use comparing words such as taller or shorter to tell about the height of two cans or cylinders. The 2 flashcards along with directions, a recording sheet and rubric are provided.

This resource is part of Tools4NCTeachers. Students directly compare two towers of …

This resource is part of Tools4NCTeachers.

Students directly compare two towers of connecting cubes. Then, they compare two classroom objects. This task may be used for instructional or assessment purposes.

This resource is part of Tools4NCTeachers. This is lesson 2 of 6 …

This resource is part of Tools4NCTeachers.

This is lesson 2 of 6 lessons focused around developing a mathematical community at the beginning of the school year. While this lesson meets standard NC.K.MD.2, its primary goal is for students to learn how to work with a partner on a task. A secondary goal is to begin establishing norms for how students work together during math class.

This resource is from Tools4NCTeachers.In this series of activities, students use linear …

This resource is from Tools4NCTeachers.In this series of activities, students use linear measurments to compare their heights and foot lengths to Abraham's Lincoln's measurements. Provided in this packet are math activities, suggested read alouds, cross-curricular activities, and pictures of the lessons in action.Remix this lesson to include your own extension ideas.

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