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Pick-a-Path Instructional Guide:Using Pick-a-Path in Grades 3-7.
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This instructional guide (PDF) is for the mobile app Pick-a-Path (both iOS ...

This instructional guide (PDF) is for the mobile app Pick-a-Path (both iOS and Android platforms). The guide provides professional development by discussing the math in each level of the game, giving suggestions for classroom use, and recommending related resources from Illuminations. The Pick-a-Path app is cataloged separately and listed as a related resource.

Subject:
Mathematics
Algebra
Material Type:
Interactive
Lesson Plan
Provider:
National Council of Teachers of Mathematics
Provider Set:
Illuminations
Author:
Lisa Willman
As People Get Older, They Get Taller
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This two-lesson unit from Illuminations, exposes students to algebra, measurement, and data ...

This two-lesson unit from Illuminations, exposes students to algebra, measurement, and data analysis concepts and the major theme of analyzing change. In the first lesson, students measure the heights of classmates and older students and construct a table of height and age data to compare them. The second lesson's instructional goal is to understand how change in one variable, age, can relate to change in a second variable, height. Instructional plan, questions for the students, assessment options, extensions, and teacher reflections are given.

Subject:
Mathematics
Algebra
Functions
Material Type:
Interactive
Lesson Plan
Provider:
National Council of Teachers of Mathematics
Provider Set:
Illuminations
Author:
Elana Joram and Christina Hartman
Block Pounds
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In this Illuminations lesson plan students explore the use of variables as ...

In this Illuminations lesson plan students explore the use of variables as they solve for the weights of objects using information presented in pictures. Learners model situations that involve adding and subtracting whole numbers, using objects, pictures, and symbols. A student activity sheet is available and downloadable (pdf).

Subject:
Mathematics
Algebra
Material Type:
Interactive
Lesson Plan
Provider:
National Council of Teachers of Mathematics
Provider Set:
Illuminations
Calculating Patterns
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This sequence of eight lessons from Illuminations provides an opportunity for students ...

This sequence of eight lessons from Illuminations provides an opportunity for students to represent patterns in different ways. Students solve problems; make, explain, and defend conjectures; make generalizations; and extend and clarify their knowledge. In Lesson 1 and 2 students recognize, sort, and identify rules for sorting. In Lesson 3 learners identify the core element or unit that is repeated. In Lesson 4 students create patterns and represent them using different forms: pattern blocks, actions, objects, pictures, letters and numbers. In Lesson 5 and 7 students use an Internet-based calculator that is linked with an interactive Hundreds Chart to create, extend, and record numerical patterns in different ways. In Lesson 6 students create patterns with movement and song. The last lesson, Lesson 8 is designed as a summative assessment of students understanding of patterns.

Subject:
Mathematics
Algebra
Material Type:
Interactive
Lesson Plan
Provider:
National Council of Teachers of Mathematics
Provider Set:
Illuminations
Author:
Carol W. Midgett
CC Tasks: Books on Shelves (Grade K)
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Task Description: Students are asked to demonstrate the different possible combinations when ...

Task Description: Students are asked to demonstrate the different possible combinations when placing 6 books on 2 shelves. Books on Shelves is the culminating task in a multi-week unit focused on operations and algebraic thinking. Students demonstrate mastery by completing the Books on Shelves task in one class period.

Material Type:
Assessment
Lesson Plan
Provider:
New York City Department of Education
Chairs
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This Java applet activity allows students to explore the various situations described ...

This Java applet activity allows students to explore the various situations described in "The Chairs Around the Table" lesson (cataloged separately). The user can select Exploration mode, in which the number of chairs needed for a particular arrangement of tables is displayed; or Guess, in which the user is able to construct an arrangement and then predict the number of chairs. There are two types of tables to choose from and two different table arrangements. Instructions and exploration question are provide.

Subject:
Mathematics
Algebra
Functions
Material Type:
Interactive
Lesson Plan
Provider:
National Council of Teachers of Mathematics
Provider Set:
Illuminations
Chairs Around The Table
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In this lesson from Illuminations, students explore and discover linear relationships. Linear ...

In this lesson from Illuminations, students explore and discover linear relationships. Linear patterns are identified, extended and described verbally, numerically and algebraically through three investigations. Using manipulatives and the linked applet, "Chairs", learners determine the number of chairs needed when the number of tables is known, and vice versa. Instructional plan, questions for the students, assessment options, extensions and teacher reflections are provided.

Subject:
Mathematics
Algebra
Functions
Material Type:
Interactive
Lesson Plan
Provider:
National Council of Teachers of Mathematics
Provider Set:
Illuminations
Author:
Samuel E. Zordak
Creating, Describing, and Analyzing Patterns
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This unit of four lessons highlights different aspects of students’ understanding and ...

This unit of four lessons highlights different aspects of students’ understanding and use of patterns as they analyze relationships and make predictions, as discussed in the Algebra Standard. In this cluster of activities, students use two interactive math applets (both catalogued separately) to learn about repeating and growing patterns. In the first part, students explore a two-square pattern unit and in the second part, students investigate repeating patterns with pattern units of three, four, and five squares. In Part 3, students analyze repeating patterns of colored cubes and lastly in Part 4, students create growing patterns of colored cubes and compare them to repeating patterns.

Subject:
Mathematics
Algebra
Material Type:
Interactive
Lesson Plan
Provider:
National Council of Teachers of Mathematics
Provider Set:
Illuminations
Factorize
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This interactive applet allows a student to visually explore the concept of ...

This interactive applet allows a student to visually explore the concept of factors by creating different rectangular arrays for a number. The user constructs the array by clicking and dragging on a grid. The length and width of the array are factors of the number. A student can elect an option of a randomly selected number or the student selects his own number between 2 and 50. Exploration questions are included to promote student discovery of mathematical concepts with factors.

Subject:
Mathematics
Algebra
Material Type:
Interactive
Lesson Plan
Provider:
National Council of Teachers of Mathematics
Provider Set:
Illuminations
Fair and Square: Using Concrete-Pictorial-Abstract Activities to Maximize Area
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Through this four part lesson students develop an understanding of the relationship ...

Through this four part lesson students develop an understanding of the relationship between area and perimeter. The lesson involves students making human rectangles, exploring geoboard connections, playing perimeter war, and playing Square Off from Calculation Nation. The lesson plan includes all data collection worksheets, games pieces, link to Calculation Nation, extension and assessment ideas.

Subject:
Mathematics
Algebra
Geometry
Material Type:
Interactive
Lesson Plan
Provider:
National Council of Teachers of Mathematics
Provider Set:
Illuminations
Author:
S. Rosen
Making Tens: Finding Addends That Sum to Ten
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In this lesson students find and record addends that sum to ten ...

In this lesson students find and record addends that sum to ten in three different activities, using ten frames, linking cubes, two-sided counters, and a concentration game. The lesson includes suggestions for assessment and extension, reflection questions for students and teachers, links to related resources, and printable materials (pdf).

Subject:
Mathematics
Algebra
Material Type:
Interactive
Lesson Plan
Provider:
National Council of Teachers of Mathematics
Provider Set:
Illuminations
Author:
Susan Andrews Kunze
Name Letters
Conditions of Use:
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This Illuminations brainteaser activity promotes algebraic thinking and reasoning skills. Each letter ...

This Illuminations brainteaser activity promotes algebraic thinking and reasoning skills. Each letter of the alphabet has been assigned a numerical value. Solvers use given sums of the letter values of 29 names to deduce the individual values. Solvers are asked to find the value of their own names and may use an interactive applet to test their solutions.

Subject:
Mathematics
Algebra
Material Type:
Interactive
Lesson Plan
Provider:
National Council of Teachers of Mathematics
Provider Set:
Illuminations
Author:
Patrick Vennebush
Pan Balance
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Build up to algebraic thinking by exploring this balance tool using shapes ...

Build up to algebraic thinking by exploring this balance tool using shapes of unknown weight. Challenge yourself to find the weight of each shape in one of six built-in sets or a random set.

Subject:
Mathematics
Material Type:
Interactive
Lesson Plan
Provider:
National Council of Teachers of Mathematics
Provider Set:
Illuminations
Author:
Illuminations National Council of Teachers of Mathematics
Pan Balance-Numbers
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This Java tool is used to strengthen student understanding of equality and ...

This Java tool is used to strengthen student understanding of equality and computation of numerical expressions. The applet also helps students understand that equality is a relationship, not an operation. After entering an expression in both the red and blue pan, the pans will move up and down depending on which expression is greater. When the expressions are equivalent, the pans will balance and the full equation will be entered into the Balanced Equations table. Instructions and exploration directions and questions are included.

Subject:
Mathematics
Algebra
Material Type:
Interactive
Lesson Plan
Provider:
National Council of Teachers of Mathematics
Provider Set:
Illuminations
Pan Balance-Shapes
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This Java applet allows children to explore a balancing tool and thus ...

This Java applet allows children to explore a balancing tool and thus build their algebraic thinking about equivalency. By placing shapes on each side of the balance and finding equivalent sets of weights, students discover the weight of each shape in one of six built-in sets or a random set.

Subject:
Mathematics
Algebra
Material Type:
Interactive
Lesson Plan
Provider:
National Council of Teachers of Mathematics
Provider Set:
Illuminations
Patterns That Grow
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This five lesson Illuminations unit gives students an opportunity to create and ...

This five lesson Illuminations unit gives students an opportunity to create and analyze numeric and geometric patterns with particular emphasis on growing patterns. The lesson titles are respectively, What's Next?, Patterns On Charts, Growing Patterns, Exploring Other Number Patterns and Looking Back And Moving Forward. Each lesson includes learning objectives, material list, instructional plan, linked resources and assessment options.

Subject:
Mathematics
Algebra
Geometry
Material Type:
Interactive
Lesson Plan
Provider:
National Council of Teachers of Mathematics
Provider Set:
Illuminations
Author:
Grace M. Burton.
Petals Around the Rose
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In this math game, learners attempt to solve a puzzle involving five ...

In this math game, learners attempt to solve a puzzle involving five dice. By deciphering the non-standard pattern in the dice, learners use problem solving and strategy skills. This lesson guide includes questions for learners, assessment options, extensions, and reflection questions. There is an online simulation of the game that is part of this resource.

Subject:
Mathematics
Algebra
Material Type:
Interactive
Lesson Plan
Provider:
National Council of Teachers of Mathematics
Provider Set:
Illuminations
Author:
Samuel E. Zordak