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## Miles of Tiles

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**Miles of Tiles**The Exhibit**Miles of Tiles**The Exhibit**Miles of Tiles**The Exhibit**Miles of Tiles**The Exhibit**Miles of Tiles**The Exhibit**Math**Geometry + Nature**Math**Geometry + Nature Why do bees use hexagons? Is there something special about them?**Math**Geometry + Nature Let’s compare what we calculated P= 12 A = 10.38 P= 12 A = 9 P= 12 A = 11.47**Math**Geometry + Nature A circle yields the greatest interior space for the smallest perimeter of anyshape! P= 12 A = 11.47**Math**Geometry + Nature Hexagons yields the greatest interior space for the smallest perimeter of any shape that tessellates! P= 12 A = 10.38**Lesson Ideas**Grade 3**Lesson Ideas**Grade 3 Develop Understanding of fractions as numbers Fraction Fracture**Lesson Ideas**Grade 3 Develop Understanding of fractions as numbers Fracture - break into pieces**Lesson Ideas**Grade 3 Develop Understanding of fractions as numbers Fractions - break into pieces using numbers**Lesson Ideas**Grade 3 Develop Understanding of fractions as numbers 4 = 1 1 1 1**Lesson Ideas**Grade 3 Develop Understanding of fractions as numbers 4 = 1 1 1 1¼ means you have one of the four 1s**Lesson Ideas**Grade 3 Develop Understanding of fractions as numbers You have one of the four squares**Lesson Ideas**Grade 3 Develop Understanding of fractions as numbers Tiles provide a concrete example of the abstract concept of fractions**Lesson Ideas**Grade 3 Understand the concepts of area and relate it to multiplication and addition**Lesson Ideas**Grade 3 Area relationship to multiplication & addition**Lesson Ideas**Grade 3 Area relationship to multiplication & addition**Lesson Ideas**Grade 3 Area relationship to multiplication & addition 1 1 1 1**Lesson Ideas**Grade 3 Area relationship to multiplication & addition 2 2**Lesson Ideas**Grade 3 Area relationship to multiplication & addition 2 2 2 x 2 = 4**Lesson Ideas**Grade 3 Area relationship to multiplication & addition Area of this square is 4 2 x 2 = 4**Lesson Ideas**Grade 4**Lesson Ideas**Grade 4 Understanding fraction equivalence**Lesson Ideas**Grade 4 Understanding fraction equivalence**Lesson Ideas**Grade 4 Understanding fraction equivalence**Lesson Ideas**Grade 4 Understanding fraction equivalence 4/16 = 1/4**Lesson Ideas**Grade 4 Understanding decimal notation for fractions**Lesson Ideas**Grade 4 Understanding decimal notation for fractions ¼ spoken as “one quarter”**Lesson Ideas**Grade 4 Understanding decimal notation for fractions With money ¼ of a dollar is one quarter**Lesson Ideas**Grade 4 Understanding decimal notation for fractions One quarter is twenty-five cents 25¢**Lesson Ideas**Grade 4 Understanding decimal notation for fractions Twenty-five cents is written as 25¢ .25**Lesson Ideas**Grade 4 Understanding decimal notation for fractions .25 .25 .25 .25 $1**Lesson Ideas**Grade 5 Understanding concepts of volume**Lesson Ideas**Grade 5 Understanding concepts of volume Start with simple shapes**Lesson Ideas**Grade 5 Understanding concepts of volume Stack the physical shapes on the board**Lesson Ideas**Grade 5 Understanding concepts of volume Explain that the volume for all simple shapes is area x height**Lesson Ideas**Grade 5 Understanding concepts of volume Explain that the volume for all simple shapes is area x height**Lesson Ideas**Grade 5 Understanding concepts of volume Explain that the volume for all simple shapes is area x height**Lesson Ideas**Grade 5 Understanding concepts of volume Explain that the volume for all simple shapes is area x height**Lesson Ideas**Grade 5 Understanding concepts of volume Compare volumes to illustrate the bee’s use of hexagons**Lesson Ideas**Grade 6 Solve real-world problems involving area**Lesson Ideas**Grade 6 Solve real-world problems involving area You are installing new tiling on your bathroom floor**Lesson Ideas**Grade 6 Solve real-world problems involving area**Lesson Ideas**Grade 6 Solve real-world problems involving area