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Geometry

Paper Quilts

3-5

Investigate fractional parts of the whole and use translations, reflections, rotations, and line symmetry to make four-part quilt squares.  

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Geometry

Planning and Making a Mini-Quilt

3-5
Students create a quilt using the three transformations and investigate the ways shapes can be colored to show one-half and one-fourth. They locate lines of symmetry and create a set of directions for making their quilt block.
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Geometry

Analyzing Designs

3-5
This lesson encourages students to explore the geometric transformation of rotation, reflection and translation more fully. Students create a design then, using flips, turns, and slides, make a 4-part paper "mini-quilt" square with that design as the basis. This experience focuses students’ attention on both the changes produced by the geometric transformations and on line symmetry.
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Algebra

What’s Next?

3-5
Students begin their study of growing patterns by making linear patterns with pattern block shapes using several pattern cores. They extend a partner’s pattern and find the missing element in a pattern.
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Geometry

Exploring Turns

3-5
This lesson encourages students to explore the geometric transformation of rotation. Students create a design then, using turns, make a four‑part paper "mini-quilt" with that design as the basis. While the formal term is rotation, the more informal turn is used at this grade band. The experience focuses students’ attention on the changes the geometric transformations make in a student-designed quilt square.
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Geometry

Exploring Flips and Slides

3-5
This lesson builds on the previous two lessons and encourages students to explore the geometric transformations of reflections and translations. Students create a design. Then, using flips and slides, students make a four-part paper "mini-quilt." While the formal terms are reflection and translation, the more informal terms slide and flip are used at this stage. The experience focuses students’ attention on the changes these geometric transformations make in a student-designed quilt square.
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Geometry

Describing Designs

3-5
Students create designs and describe them to a classmate, using fractional and geometric terms. This lesson provides a context for using the following vocabulary terms: horizontal, vertical, square, rectangle, triangle, diagonal, one-half, and one-fourth.
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Geometry

Parts of a Square

3-5
Students investigate the ways shapes can be divided into equal pieces with one or two cuts. The lesson provides a review of the following vocabulary terms: square, triangle, and rectangle; congruent, one-half, and one-fourth. The other lessons in this unit build on this introductory lesson.