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Introduction to Fractals: Geometric Fractals
Students study and observe the patterns made by the areas of the Sierpinski Triangle. Students use the computer to draw two or three iterations to discover the number patterns. Students complete worksheets based on Geometric Fractals.
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Effects of Changing Dimensions Proportionally
In this geometry worksheet, 10th graders examine the effect of changing the dimensions of a figure proportionally on the perimeter, circumference, and area. The one page worksheet contains six problems. Answers are...
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Count and Trace the Shapes
In this counting and tracing shapes worksheet, students trace 13 shapes with specific colors. Students count how many ovals, rectangles, triangles, squares and circles there are and put their totals on the lines provided. A very good...
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Ratios of Similar Figures
High schoolers identify the ratios of different triangles. In this geometry activity, students identify the similarity and differences of triangles. They use the navigator to move the sides of the triangle around.
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Inequalities
For this inequalities worksheet, 10th graders solve and complete 23 various types of problems. First, they find the area of an inscribed square in a circle shown. Then, students find the total area of the inscribed polygon and deduce...
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Expressions and Formulas
In this expressions and formulas worksheet, 9th graders solve and complete 7 different types of problems related to various expressions and formulas. First, they define order of operations and explain why it is used. Then, students list...
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Similar Figures
Your class will use a TI calculator to drag vertices of rectangles and triangles to observe what happens to ratios of pairs of sides within each figure. They will apply the definition of similarity to identify similar shapes. The lesson...
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Trigonometry Ratios
Students identify the different angles and sides of a triangle. In this geometry lesson, students identify the six trigonometric ratios. They graph the graph of each trig function and analyze it.
Utah Education Network (UEN)
If the Shape Fits
Geometers juggle the idea of polygons. Using a game and manipulatives, they make trapezoids and irregular polygons. They review the algorithms for finding the areas of squares and rectangles. On day one, they find the area of trapezoids,...
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The Pythagorean Theorem
Students create both a visual and formal proof of the Pythagorean theorem, as well as view four additional geometric demonstrations of the theorem. They construct a square and conjecture the following theorem: The sum of the areas of...
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Geometry Exploration Basic Trig Functions
Tenth graders solve for missing sides on a triangle using the Pythagorean Theorem. In this geometry lesson, 10th graders are introduced to basic trigonometry functions as they solve problems of right triangles. They discuss the...
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Pythagorean Theorem
In this finding the missing units in triangles worksheet, students apply the Pythagorean Theorem to solve. Students solve 10 problems.
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Perimeter Pattern
High schoolers investigate perimeter patterns formed by a hexagon and a triangle. They will identify the dependent and independent variable and write a function for the relationship.
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Pythagorean Triples
Teach how to solve problems with right triangles. Students use the Pythagorean Theorem to identify missing sides and angles. Then, they will define and use the Pythagorean Triples to solve problems.
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What's the Spin?
Learners use the CABRI application for their graphing calculator to rotate, translate, and reflect triangles. They use graphing calculators and follow detailed directions to manipulate triangles in specified ways. There are three...
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Basic Theorems and Proofs
In this pre-calculus worksheet, 11th graders recall the three forms of the law of cosines and used it to solve problems involving triangles. They also write out the laws of sines and use those to solve problems with angles. There are 15...
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Chords of a Circle
Teach how to differentiate between chords and perpendicular bisectors. In this geometry lesson, students relate the properties of chords and circle to solving right triangle. They define what makes two chords congruent in side a circle.
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Tangram Puzzles
Students explore the origin of tangram. In this algebra lesson, students form different shapes and figures using tangram. They solve for the area of different shapes without using any geometric formulas, but the idea of tangram being put...
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Pick's Theorem
Students investigate polygons and their lattice. In this calculus instructional activity, students record data using different methods. They analyze their data and draw conclusions based on the relationship between the area and the...
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Insect Collection
Young scholars explore how to use several types of insect sampling and collectin equipment. They work in groups to collect insects in different areas of their schoolyard. Students are explained that quadrats are generally used to...
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Care Homework #7
In this care homework worksheet, students add, subtract, multiply and divide integers. They multiply and divide fractions. Students complete percent problems and determine the area of polygons. This three-page...
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Real Numbers: Care Homework #8
In this real numbers worksheet, students perform the given operation with decimals, whole numbers, and fractions. They find the area and perimeter of circles. Students determine the volume of cylinders. This three-page worksheet contains...
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Volume of Prisms
Students calculate the volume of different polygons. In this geometry lesson plan, students identify the relationship between base and height. They calculate the area of each prism and cylinder.
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Discovering Pi
Students relate Pi to a circle. In this circles instructional activity, students identify the different properties of two dimensional objects. They relate Pi to the circumference, diameter and area of a circle .
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