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Patterns Patterns Everywhere

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Ballston Spa, New York, United States

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Preview of Golden Ratio Investigation | Calculating & Measuring Activities to Discover Phi

Golden Ratio Investigation | Calculating & Measuring Activities to Discover Phi

DESCRIPTION Here are two great activities to investigate the Golden Ratio! Do them together, or each can be a stand-alone lesson. The first activity is a simple way to show the connection between the Golden Ratio and the Fibonacci sequence. Students will use their calculators to complete 12 division problems which divide consecutive Fibonacci numbers. By the end they will see that the numbers converge to 1.618 (the Golden Ratio)! I have made a cut-and-paste version of this also, so that younger
Preview of Fibonacci Spiral | A Colorful Visual of the Geometry Behind the Famous Sequence

Fibonacci Spiral | A Colorful Visual of the Geometry Behind the Famous Sequence

DESCRIPTION Here is a great (and easy!) activity to give kids a visual understanding of the geometry behind the Fibonacci sequence! Kids will understand that the Golden Rectangle (the rectangle we are drawing the spiral within) is actually composed of squares. Kids will see that the squares are not just randomly numbered, but that the (1 unit square) + (1 unit square) = (2 unit square)’s side length. The pattern continues as the (2 unit square) + (1 unit square) = (3 unit square)’s side length,
Preview of 3D GEOMETRY ACTIVITIES | 4 Hands-on Resources for Students to Explore 3D Shapes

3D GEOMETRY ACTIVITIES | 4 Hands-on Resources for Students to Explore 3D Shapes

DESCRIPTION Here are 4 wonderful and engaging activities to get kids learning about 3D shapes in a hands-on way! The first two activities familiarize students with the names of nine 3D shapes (cube, rectangular prism, cylinder, sphere, hemisphere, cone, triangular prism, square pyramid, and triangular pyramid). In “Color the 3D Shapes”, students color the 3D shapes based on a color key to learn the names. “3D Shapes Match” is a cut-and-paste activity that will review these same names with studen
Preview of Fibonacci in Food | A Data Collecting & Graphing Activity to Show Math in Nature

Fibonacci in Food | A Data Collecting & Graphing Activity to Show Math in Nature

DESCRIPTION 1,1,2,3,5,8,13,21,…Here is a great investigative activity that will show kids Fibonacci numbers in nature! You can use the real-life fruit and vegetables or simply do an internet search! If you use the real-life food, you will need an apple, a banana, an orange, a lemon, a cucumber, a head of cabbage, and a pineapple. Follow the directions to cut the fruit or vegetables to see their cross-sections, or in the case of the pineapple, you will be counting the spirals. Not all the produce
Preview of MATH MATCH | An Algebra Factoring Activity (GCF, DOTS & Trinomial Factors)

MATH MATCH | An Algebra Factoring Activity (GCF, DOTS & Trinomial Factors)

Looking for a fun way to practice factoring skills?? This activity is a great way to reinforce factoring in a hands-on way. It includes FIVE different pages with different types of factoring on each page (GCF, DOTS, Trinomials with a=1 & a>1, and Factoring Completely). It is great to use in centers, groups, partners, individually, or as a game in class! (See ways it can be used below!) HOW CAN IT BE USED? This activity can be used in centers, partners, individually, or as a class! CENTERS:
Preview of "Seeing Pi" | Hands-on Activities for Pi Day or Introducing Pi with Circles

"Seeing Pi" | Hands-on Activities for Pi Day or Introducing Pi with Circles

DESCRIPTION Here is a great set of activities to do for Pi Day or as an introduction to Circles in Geometry! The first activity is a colorful visual to show how pi is equal to the circumference of a circle, divided by its diameter. The second activity gives a hands-on foldable to easily see that a little more than 3 diameters in length is equal to the circumference of the same circle! DIRECTIONS 1.Colorful Circle Activity: Use two different colored dot markers or any markers to color the circle’
Preview of Fibonacci Numbers | A Hands-on Activity Showing the Arithmetic of the Sequence

Fibonacci Numbers | A Hands-on Activity Showing the Arithmetic of the Sequence

DESCRIPTION Here is an easy activity to bring some color to the Fibonacci sequence! Simply print out the numbers and glue them on to see how the sum of the two previous terms equals the next term in the sequence! If you choose to use different colors for each number, kids will see the pattern come alive even more with the color coordination! There is also an extra sheet with blank terms at the end of the equation for younger kids to practice their addition. Enjoy! DIRECTIONS Print out the main p
Preview of "Famous Digits of Math" | Colorful Activity to Celebrate Pi, Tau, and e!

"Famous Digits of Math" | Colorful Activity to Celebrate Pi, Tau, and e!

DESCRIPTION Here is a great (and easy!) activity to do for Pi Day (3/14), Tau Day (6/28), when you are learning about exponential functions, or anytime you want to add some color to math (like maybe before a school break)! You are given FOUR different pages, one for Pi, one for Tau, and one for e, along with a page of the digits 0-9 (written twice). Simply print out the digits on colorful paper, cut the digits out and paste them on, and you are done! This would be a fun way to help memorize some
Preview of MATH MATCH | An Algebra Matching Activity for DOTS Factoring

MATH MATCH | An Algebra Matching Activity for DOTS Factoring

DESCRIPTION Looking for a fun way to practice factoring skills?? This activity is a great way to reinforce factoring in a hands-on way. It includes a page with 10 Difference of Two Squares “links” to match the expressions with the corresponding factors. It is great to use in centers, groups, partners, individually, or as a game in class! (See ways it can be used below!) HOW CAN IT BE USED? This activity can be used in centers, partners, individually, or as a class! CENTERS: Include as one of
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