This web page provides links to resources aligned to the CCSS that ...

This web page provides links to resources aligned to the CCSS that guide and support first grade mathematics teaching and learning. Tasks developed by the Mathematics Assessment Resource Service (MARS) and Problems of the Month, (POM home page is cataloged separately) developed by the Noyce Foundation are included. The activities were designed to measure students' ability to solve non-routine problems, explain and justify their solutions, and promote high level thinking skills. Resources are listed for specific grade 1 standards and are also organized by progression for an alternate search route.

This page hosts a collection of geometric tasks in pdf format that ...

This page hosts a collection of geometric tasks in pdf format that are aligned to the CCSS standards 1.G1 through 1.G3. It also has links to supplementary literature and learning materials.

This 34-page document (pdf) identifies student learning outcomes for each of eleven ...

This 34-page document (pdf) identifies student learning outcomes for each of eleven 21st Century Skills and provides examples of tasks for grade 4, 8, and 12. It strives to fuse mathematical content and mathematical practices with the 4Cs (communication, collaboration, critical thinking and creativity) and integrate them with interdisciplinary themes. Each skill is aligned with CCSS mathematical practices. This map was designed by the Partnership for 21st Century Skills (P21) in cooperation with the Mathematical Association of America (MAA), the National Council of Teachers of Mathematics (NCTM), and dozens of math educators across the country.

In this open-ended investigation, students use visualizing skill and work systematically to ...

In this open-ended investigation, students use visualizing skill and work systematically to explore surface area. Learners use linking cubes to build three-dimensional objects with exactly 28 faces exposed. Ideas for implementation, extension and support are included.

This is a task from the Illustrative Mathematics website that is one ...

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 ...

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 activity helps students develop concepts and language related to position by ...

This activity helps students develop concepts and language related to position by experimenting with the size and relationships between two circles in a qualitative way. They use terms such as outside, touching and overlapping. The Teachers' Notes page includes suggestions for implementation and discussion questions. Students then can move to a follow-up activity, 3 Rings, cataloged separately.

This web page provides links to resources aligned to the CCSS that ...

This web page provides links to resources aligned to the CCSS that guide and support second grade mathematics teaching and learning. Tasks developed by the Mathematics Assessment Resource Service (MARS), Problems of the Month, (POM home page is cataloged separately) and videos of public lessons and number talks developed by the Noyce Foundation are included. The tasks were designed to measure students’ ability to solve non-routine problems, explain and justify their solutions, and promote high level thinking skills. They include the scoring rubric, student responses, and discussion of student understanding and misconceptions. Resources are listed for specific grade 2 standards and are also organized by progression for an alternate search route.

This page hosts a collection of geometric tasks in pdf format that ...

This page hosts a collection of geometric tasks in pdf format that are aligned to the CCSS standards 2.G1 through 2.G3. It also has links to supplementary literature and learning materials.

This interactive Flash applet provides a Concentration-type game (called pelmanism in the ...

This interactive Flash applet provides a Concentration-type game (called pelmanism in the UK) in which students must discern the properties of three-dimensional solids and their colors in order to match them in pairs. Spheres, cones, prisms and other standard 3-D shapes are hidden face down on cards. Time and number of trials needed to solve are recorded.

This activity helps students develop concepts and language regarding the size and ...

This activity helps students develop concepts and language regarding the size and positional relationship possibilities of three circles in the plane in a qualitative manner. They use terms such as overlapping, inside, and touching as they work systematically to find all possible arrangements. The Teachers' Notes page includes suggestions for implementation, discussion questions, and ideas for extension. This activity can be a follow-up to "2 Rings" cataloged separately.

This web page provides links to resources aligned to the CCSS that ...

This web page provides links to resources aligned to the CCSS that guide and support third grade mathematics teaching and learning. Tasks developed by the Mathematics Assessment Resource Service (MARS) and Problems of the Month, (POM home page is cataloged separately) developed by the Noyce Foundation are included. The tasks were designed to measure students’ ability to solve non-routine problems, explain and justify their solutions, and promote high level thinking skills. They include the scoring rubric, student responses, and discussion of student understanding and misconceptions. Resources are listed for specific grade 3 standards and are also organized by progression for an alternate search route.

This page hosts a collection of geometric tasks in pdf format that ...

This page hosts a collection of geometric tasks in pdf format that are aligned to the CCSS standards 3.G1 and 3.G2. It also has links to supplementary literature and learning materials.

This page provides examples of 3rd Grade Measurement and Data activities aligned ...

This page provides examples of 3rd Grade Measurement and Data activities aligned with the Common Core State Standards. A CCSS standard is stated and the possible activities are listed below and linked. All activities are suitable for use in Math Centers, small group, or whole class settings and are designed to elicit a range of responses and provide opportunities for students to communicate their reasoning and mathematical thinking. Instructions for each task are typed in large print and written in child-friendly language to enable students to work on activities independently after a brief introduction to the task. All files for 3rd Grade Measurement and Data Activities listed are in PDF format.

This web page provides links to resources aligned to the CCSS that ...

This web page provides links to resources aligned to the CCSS that guide and support fourth grade mathematics teaching and learning. Tasks developed by the Mathematics Assessment Resource Service (MARS) for the Noyce Foundation, Problems of the Month, (POM home page is cataloged separately) and videos of public lessons and number talks developed by the Noyce Foundation are also included. The performance tasks were originally designed to measure students' ability to solve non-routine problems and then to explain and justify their solutions. The task scoring rubric, student responses, and discussion of student understanding and misconceptions are provided to improve instruction. Resources are listed for specific grade 4 standards and are also organized by progression for an alternate search route.

This page hosts a collection of geometric tasks in pdf format that ...

This page hosts a collection of geometric tasks in pdf format that are aligned to the CCSS standards 4.G1 through 4.G3. It also has links to supplementary literature and learning materials.

This page provides examples of 4th Grade Measurement and Data activities aligned ...

This page provides examples of 4th Grade Measurement and Data activities aligned with the Common Core State Standards. A CCSS standard is stated and the possible activities are listed below and linked. All activities are suitable for use in Math Centers, small group, or whole class settings and are designed to elicit a range of responses and provide opportunities for students to communicate their reasoning and mathematical thinking. Instructions for each task are typed in large print and written in child-friendly language to enable students to work on activities independently after a brief introduction to the task. All files for 4th Grade Measurement and Data Activities listed are in PDF format.

This is a task from the Illustrative Mathematics website that is one ...

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 ...

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 blog entry identifies five Pinterest boards for mathematics. Each board is ...

This blog entry identifies five Pinterest boards for mathematics. Each board is represented by a picture, link, and brief description. This web blog contains a link to "10 Pinterest Boards Every Teacher Must Know About".

This web page provides links to resources aligned to the CCSS that ...

This web page provides links to resources aligned to the CCSS that guide and support fifth grade mathematics teaching and learning. Tasks developed by the Mathematics Assessment Resource Service (MARS), Problems of the Month, (POM home page is cataloged separately) and videos of public lessons and number talks developed by the Noyce Foundation are included. The tasks were designed to measure students' ability to solve non-routine problems, explain and justify their solutions, and promote high level thinking skills. They include the scoring rubric, student responses, and discussion of student understanding and misconceptions. Resources are listed for specific grade 5 standards and are also organized by progression for an alternate search route.

This page hosts a collection of geometric tasks in pdf format that ...

This page hosts a collection of geometric tasks in pdf format that are aligned to the CCSS standards 5.G1 through 5.G4. It also has links to supplementary literature and learning materials.

This is a task from the Illustrative Mathematics website that is one ...

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 ...

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 ...

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 ...

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 ...

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 ...

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 ...

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 ...

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 ...

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 ...

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 ...

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 ...

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 ...

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 ...

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 ...

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 task examines the ways in which the plane can be covered ...

This task examines the ways in which the plane can be covered by regular polygons in a very strict arrangement called a regular tessellation. These tessellations are studied here using algebra, which enters the picture via the formula for the measure of the interior angles of a regular polygon (which should therefore be introduced or reviewed before beginning the task). The goal of the task is to use algebra in order to understand which tessellations of the plane with regular polygons are possible.

A+ Click is an interactive collection of more than 3700 math problems ...

A+ Click is an interactive collection of more than 3700 math problems and answers for K-1 K-12 school program. It defines the personal level of math knowledge. You move up into the next level if you give 5 correct answers in a row. Practice makes perfect.

This web page presents information about using math templates during instruction to ...

This web page presents information about using math templates during instruction to keep each student actively involved and to allow the teacher to informally assess each student's proficiency with the skills and concepts addressed throughout the lesson. The web page provides suggestions for using templates and explanations for why templates should be used. There is a link to the template library, which includes available templates (in PDF format) for the following categories: Number and Operation, Patterns and Algebra, Geometry and Measurement, Data Analysis and Probability, Discrete Math and Logic and Problem Solving.

This 440-page report explores how students in pre-K through grade 8 learn ...

This 440-page report explores how students in pre-K through grade 8 learn mathematics, with a focus on number and operations, and recommends how teaching, curricula, and teacher education should change to improve mathematics learning. (A 39-page summary, Helping Children Learn Mathematics, is catalogued separately.) The authors identify five interdependent components of mathematical proficiency and describe how students develop this proficiency. The report presents a portrait of mathematics learning: research findings on what children know about numbers before they arrive in pre-K and the implications for instruction; details on the processes by which students acquire mathematical proficiency; what is known from research about teaching for mathematics proficiency and developing proficiency in teaching. Visitors to this website may read the full text online, download a copy (pdf), or purchase a hard copy.

This page provides a problem solving resource for teachers to use with ...

This page provides a problem solving resource for teachers to use with their students in the days leading up to Christmas. Twenty-four math problems from the NRICH collection have been included in this advent problem set based on the theme of Planet Earth; each problem includes teacher resources, a printable page, and a solution

This activity (located on page 3 of the PDF) is a full ...

This activity (located on page 3 of the PDF) is a full inquiry investigation into Bernoulliäóťs principle and airplane wings. Learners will design and build their own airplane wing models out of Styrofoam, record their mass, and then use a fan to measure the äóěweightäó change when air flows over the wing. Results from testing other wing shapes and sizes are then measured to chart relationships between lift and wing size and shape. Relates to linked video, DragonflyTV GPS: Balloon Fiesta.

Students learn about linear programming (also called linear optimization) to solve engineering ...

Students learn about linear programming (also called linear optimization) to solve engineering design problems. As they work through a word problem as a class, they learn about the ideas of constraints, feasibility and optimization related to graphing linear equalities. Then they apply this information to solve two practice engineering design problems related to optimizing materials and cost by graphing inequalities, determining coordinates and equations from their graphs, and solving their equations. It is suggested that students conduct the associated activity, Optimizing Pencils in a Tray, before this lesson, although either order is acceptable.

In this activity, learners construct a three-dimensional ambiguous cube to explore visual ...

In this activity, learners construct a three-dimensional ambiguous cube to explore visual illusions and how our brains interpret or misinterpret information. Learners will be surprised to see what the cube looks like when they hinder their depth perception by viewing it with only one eye.

This lesson plan provides learners with two activities to explore the connections ...

This lesson plan provides learners with two activities to explore the connections between events in their lives and the seasons of the year. Learners follow lists of instructions and create diagrams to visualize these connections. This lesson plan includes activity instructions and answer keys.

This task provides a construction of the angle bisector of an angle ...

This task provides a construction of the angle bisector of an angle by reducing it to the bisection of an angle to finding the midpoint of a line segment. It is worth observing the symmetry -- for both finding midpoints and bisecting angles, the goal is to cut an object into two equal parts. The conclusion of this task is that they are, in a sense, of exactly equivalent difficulty -- bisecting a segment allows us to bisect and angle (part a) and, conversely, bisecting an angle allows us to bisect a segment (part b). In addition to seeing how these two constructions are related, the task also provides an opportunity for students to use two different triangle congruence criteria: SSS and SAS.

This Flash applet gives students practice in creating an angle measuring between ...

This Flash applet gives students practice in creating an angle measuring between zero and 180 degrees. Two buttons control the increase or decrease of the opening between two rays. Points are awarded for accuracy.

This interactive Flash applet enables students, using estimation and measurement skills, to ...

This interactive Flash applet enables students, using estimation and measurement skills, to investigate angles. Teachers can use this page for demonstrating how to read a protractor, and the protractor can be hidden to give students practice in estimating angle measures. The size of the angle can be controlled or chosen randomly.

In this activity (page 10 of PDF), learners approximate the area of ...

In this activity (page 10 of PDF), learners approximate the area of the uppermost cross section of an impact crater using a variety of square grids. They conclude which angle of impact results in the greatest area. There are two versions of this activity: Challenge, where students construct a launcher and create their own craters; and Non-Challenge where students analyze pictures of craters. Includes a pre-lesson activity (p54). The Moon Math: Craters! guide follows a 5E approach, applying concepts of geometry, modeling, data analysis to the NASA lunar spacecraft mission, LCROSS.

Students work step-by-step through the generation of a different Hilbert-like Curve (a ...

Students work step-by-step through the generation of a different Hilbert-like Curve (a fractal made from deforming a line by bending it), allowing them to explore number patterns in sequences and geometric properties of fractals.

The famous story of Archimedes running through the streets of Syracuse (in ...

The famous story of Archimedes running through the streets of Syracuse (in Sicily during the third century bc) shouting ''Eureka!!!'' (I have found it) reportedly occurred after he solved this problem. The problem combines the ideas of ratio and proportion within the context of density of matter.

In this problem, students are given a picture of two triangles that ...

In this problem, students are given a picture of two triangles that appear to be similar, but whose similarity cannot be proven without further information. Asking students to provide a sequence of similarity transformations that maps one triangle to the other focuses them on the work of standard G-SRT.2, using the definition of similarity in terms of similarity transformations.

This activity reinforces the concepts of area and perimeter and their independent ...

This activity reinforces the concepts of area and perimeter and their independent relationship. Students analyze and compose shapes made from unit squares that satisfy area and perimeter specifications. Ideas for implementation, extension and support are included along with printable sheets and shape cards.

This 5-minute video addresses the relationship of the measures area and perimeter. ...

This 5-minute video addresses the relationship of the measures area and perimeter. It gives several examples of rectangles that have the same area measure and different perimeters. Labels are shown and calculations explained.

This interactive Wolfram Demonstration helps students visualize the relationship between multiplication and ...

This interactive Wolfram Demonstration helps students visualize the relationship between multiplication and the area of a rectangle. On a 10x10 multiplication table, with 1 in the lower left and 100 in the upper right, users adjust the size of a rectangle by dragging a vertex or sliders, or by choosing a product from a pulldown list. The resulting rectangle highlights the width, height and area (factors and product) as well as other equivalent areas (products) on the board, illustrating commutativity and multiple factor pairs. Wolfram CDF Player, a free download, is required to view this resource.

This problem is part of a very rich tradition of problems looking ...

This problem is part of a very rich tradition of problems looking to maximize the area enclosed by a shape with fixed perimeter. Only three shapes are considered here because the problem is difficult for more irregular shapes.

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