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# Winter Multiplication Arrays Math Project | Digital & Printable

3rd
Subjects
Standards
Resource Type
Formats Included
• Zip
Pages
62 pages
The Teacher-Author indicated this resource includes assets from Google Workspace (e.g. docs, slides, etc.).

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### Description

Winter Wonderland Array Architects is designed to help your third grade students apply their knowledge about equal groups, arrays, multiplication and division fact families, and properties of multiplication as they design arrays and solve word problems throughout this winter-themed simulation project.

A digital and printable version of this resource are included making it easy to use whether you are teaching in person, using digital distance learning, or a combination of both.

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During this winter-themed math project your third grade students will work toward becoming an Array Architect for Snowflake Valley. As part of their job application process, they must create a winter wonderland festival map that includes a variety of arrays and equal groups, along with a festival directory that features all the equations and problem solving that corresponds with their unique design.

Here are the steps your students will take as they work towards being hired as an Array Architect:

★ Sketch a Winter Wonderland Festival map, which includes arrays and equal groups.

★ Label the arrays and equal groups on the festival map.

★ Identify the multiplication sentence, repeated addition sentence, and fact family related to each array on their map.

★ Analyze each array on their map, and its relation to the various multiplication properties (Associative, Commutative, Distributive, and Identity Property).

★ Complete a self-assessment of their project using a three-part rubric.

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WHAT’S INCLUDED

Teacher Guide - a 7-page guide that includes detailed steps for successfully incorporating this resource in your classroom.

Student Guide - a printable and digital version of the student guide is included. This 16-page guide includes detailed instructions and visuals to help your students complete each step of this simulation successfully. The format of this guide makes differentiation easy. Use it as a supplement to your verbal instructions as you provide scaffolding or let your more advanced students work through each step of the project independently.

Printable & Digital Recording Sheets - Reproducible pages or Google Classroom-ready digital slides that guide students through the process of designing a wonderland map, writing the repeated addition sentence, multiplication sentence, the fact family related to the arrays drawn on their map, and answering word problems that help them analyze their arrays and use each array to demonstrate their knowledge of the properties of multiplication.

Editable Rubric - a 4-point rubric students can use to self-assess their ability to neatly design a map featuring arrays and equal groups, apply multiplication skills while writing their festival directory, and demonstrate the habits of a self-directed learner. The same rubric can be used by the teacher to provide a score for student work. An editable version of this rubric is also included.

Sample Project - a completed sample of the project to help you provide scaffolding to students as needed. You will see the first two pages of the Festival Directory are filled out completely, while pages for arrays C-H only include sentence starters for the word problems.

Completion Certificate - this congratulatory certificate is a little extra something you can share with students when they receive their project feedback if you’re looking to bring the project to a close in a more formal way.

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PEDAGOGY

This project based learning unit requires the application of students’ knowledge of equal groups, arrays, multiplication and division fact families, and properties of multiplication. Throughout the process of the Winter Wonderland Array Architects simulation, students will have the opportunity to apply their knowledge through creative design, engage in rigorous problem solving incorporating their math knowledge, and build organization skills as they plan and execute this multi-day project.

Every step of the Winter Wonderland Array Architects experience is outlined in a project guide that includes clear visuals and step-by-step instructions. Rubrics and reflection prompts will encourage your students to reach their learning goals.

This project gives students the opportunity to exercise the standards for mathematical practice, share their creativity, and display understanding in unique and engaging ways.

The format of this math simulation guide makes it an ideal resource for:

★ Distance learning

★ At your seat & hands on enrichment during math workshop or guided math

★ Math center work

★ Parent volunteer or teacher’s aide enrichment station

★ A focal point for a multiplication room transformation

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BOOSTING RIGOR

Students who have mastered the ability to interpret and create equal groups and arrays and how they relate to multiplication and division fact families, and the properties of multiplication will have the opportunity to extend their learning and deepen their understanding of multiplication through this math project experience.

This project will help them solidify the multiplication and arrays skills they’ve mastered through real world problem solving rather than being bogged down with worksheets or busy work.

This project also serves as a wonderful alternative assessment that allows you to measure student understanding on a deeper level as a culmination to your multiplication unit.

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BUILDING STUDENT INDEPENDENCE

This simulation guide is designed with student independence in mind. Detailed instructions and checklists are provided for students so they can participate with maximum independence.

You can guide them as needed and pull small groups that help address the more individualized needs of your students. This allows students to work at their own pace and take ownership of their learning.

On the day of the simulation launch, you will take 15-20 minutes to set the scene and teach students how to navigate their materials. After that, your students will be off on an independent math adventure that lasts multiple sessions.

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SAVING TIME

Want to incorporate a project into your multiplication unit, but crunched for instructional time?

This resource makes prepping for project based learning a breeze and makes implementation seamless. The detailed visual instructions on each page of the guide make it possible for students to complete their unique project with maximum independence so you have the time you need to teach or reteach essential place value skills to small groups.

Scoring and providing students with feedback is also when using the included rubric. Each of the three project phases: map design, festival directory creation, and word habits has its own rubric so students can participate in the assessment process as they demonstrate learning, and you can provide them with specific feedback about their work.

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WHAT TEACHERS THINK OF THIS PROJECT:

♥ “Wow - this project has so much to it and will really show me which of my students have an advanced understanding of multiplication and its properties. They are really enjoying it so far. Thank you!” - Paiges of Learning

♥ “Another quality product from Laura! Such a well rounded summative project to show what students have learned about multiplication and division in such a meaningful way. I've bought many products from you and this one is just like the others....exceptional, rigorous and highly engaging for 3rd graders.” - Whaley

♥ “So well organized and easy to follow! The students can do this independently in third grade and are so proud of their finished products! Great to see a combination between their knowledge and creativity!” - McKenna J.

♥ “Fantastic resource for those long winter days! This was a great review and activity to push students to take their learning a little farther. Thank you!” - Amanda C.

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Total Pages
62 pages
Rubric only
Teaching Duration
3 Weeks
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### Standards

to see state-specific standards (only available in the US).
Interpret products of whole numbers, e.g., interpret 5 × 7 as the total number of objects in 5 groups of 7 objects each. For example, describe a context in which a total number of objects can be expressed as 5 × 7.
Interpret whole-number quotients of whole numbers, e.g., interpret 56 ÷ 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares, or as a number of shares when 56 objects are partitioned into equal shares of 8 objects each. For example, describe a context in which a number of shares or a number of groups can be expressed as 56 ÷ 8.
Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.
Determine the unknown whole number in a multiplication or division equation relating three whole numbers. For example, determine the unknown number that makes the equation true in each of the equations 8 × ? = 48, 5 = __ ÷ 3, 6 × 6 = ?.
Apply properties of operations as strategies to multiply and divide. Examples: If 6 × 4 = 24 is known, then 4 × 6 = 24 is also known. (Commutative property of multiplication.) 3 × 5 × 2 can be found by 3 × 5 = 15, then 15 × 2 = 30, or by 5 × 2 = 10, then 3 × 10 = 30. (Associative property of multiplication.) Knowing that 8 × 5 = 40 and 8 × 2 = 16, one can find 8 × 7 as 8 × (5 + 2) = (8 × 5) + (8 × 2) = 40 + 16 = 56. (Distributive property.)