+
Worksheet
Curated OER

Extending Online Number Sequences

For Students 5th - 6th
In this online number sequences worksheet, students work out the answers to eight comprehensive exercises with thirty-eight calculations involving a variety of sequences. Students answers are automatically graded online as they go and...
+
Worksheet
Curated OER

Six Number Pattern and Sequence Activities

For Students 11th - Higher Ed
In this numbers and sequences worksheet, students solve problems presented in six different activities.  Extension problems are also provided.
+
Worksheet
Curated OER

Number Patterns and Sequences

For Students 5th - 6th
In this number patterns and sequences worksheets, students complete activities for number patterns and sequences including Fibonacci's Sequence, lines, regular polygons, and towers. Students complete 15 problems.
+
Lesson Plan
Teach Engineering

Discovering Phi: The Golden Ratio

For Teachers 6th - 8th Standards
Fe, phi, fo, fum. This activity leads pairs to find the ratio of consecutive terms of the Fibonacci sequence. The pairs find that the Fibonacci sequence can be found in many places. A discussion with the class shows that the ratios found...
+
Lesson Plan
Curated OER

There's Gold in Them Thar Ratios

For Teachers 7th - 10th
Students draw a model of the bunny problem which generates the Fibonacci Sequence, spirals generated from golden rectangles and golden triangles; identify the golden ratio in the human body, and find the Fibonacci numbers in nature.
+
Lesson Plan
Curated OER

Golden Ratio

For Teachers 10th
Tenth graders investigate the Golden Ratio.  In this geometry lesson, 10th graders explore the Fibonacci sequence in the context of The Fibonacci Rabbit problem.  Students examine how the ratio of two consecutive Fibonacci number create...
+
Worksheet
Curated OER

Patterns in Nature

For Students 5th - 6th
In this patterns in nature worksheet, students read about the Fibonacci Spiral, then follow the directions to plot one on the graph paper and draw the spiral, with links to more information.
+
Lesson Plan
Curated OER

Using Ratios

For Teachers 8th - 10th
Students study the Golden Ratio and its relationship to Renaissance artists. After exploring proportions and ratios used by Renaissance artists, students create a mix of ten variations of color paint, and record the ratios of primary...
+
Worksheet
Curated OER

Searching for Patterns

For Students 5th - 6th
In these patterns worksheets, students complete 4 pages of activities for patterns. Students improve their visual interpretation skills with the activities.