Virginia Department of Education
Give or Take a Few
Young mathematicians extend their knowledge of rational numbers on a number line to graph inequalities by first using number cards to compare rational numbers. They finish by using similar reasoning to graph inequalities on a number line.
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Exercising With the Mathematical Induction Principle
In this math worksheet, students apply the Mathematical Induction Principle. Then they find patterns for the sums. They also read the subsequent proofs for the Induction Principle.
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The Dragon Curve Fractal
Students identify the properties of a dragon curve. For this geometry lesson, students identify sequences and patterns as they solve fractals. They investigate patterns found in nature.
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Fractals Rock
Students identify the repeated sequences of a pattern. In this geometry lesson, students identify fractals in patterns and nature. They construct a fractal tree and make conjectures.
Virginia Department of Education
Properties of Operations
Explore the definitions of algebraic properties through a hands-on activity. Individuals cut and paste examples and match them to the correct properties. After examining the provided examples, pupils create examples of their own.
Virginia Department of Education
Independent and Dependent Variables
Investigate the relationship between independent and dependent variables. Individuals begin by identifying independent and dependent variables from different problem situations. Then, using specific guidelines, they create posters...
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Fractals Rock: Investing the Fractal Tree
Learners investigate the relationship between fractals and sequences. In this geometry lesson, students build a fractal tree. They investigate different career fields where fractals are used in the real world.
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I Have A Friend Who
In this friend instructional activity, students use logic and reasoning to determine the characteristics of a person. This one-page instructional activity contains 1 problem. The answer is provided.
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Fractal and the Dragon Curve
Students explore Fractal designs. In this geometry activity, students observe the different polygons created in nature and relate it to math. They define polygons on planes and rotate polygons about a point.
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Koch Snowflake
Learners investigate Koch's Snowflake. In this geometry activity, students identify the properties of creating Koch's snowflake. They solve problems dealing with fractals and patterns.
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Fractals: Koch Snowflake
Learners investigate the properties of Koch's snowflake. In this geometry lesson, students investigate fractals and patterns. They create Koch's snowflake using Cabri software.
Virginia Department of Education
Angles in Polygons
Polygons — it's all about the angles. Groups work with dynamic geometry software to find the sum of the measures of the angles of various polygons. After finding the information for several polygons, the groups generate a formula that...
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Trigonometry Practice Series #3
In this trigonometry worksheet, students calculate the sum of the terms in an arithmetic and geometric series. This two-page worksheet contains 5 multi-step problems. Answers are provided at the bottom of the page.
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The World Series Problem
In this combination worksheet, students solve 2 short answer problems. Students determine the number of different combinations for a seven game World Series.
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The Billy Goats Gruff and the Days of the Week
First graders explore the days of the week. In this days of the week lesson, 1st graders listen to the story The Billy Goats Gruff, then act out the events by stepping on "rocks" that name the days of the week. Students must...
Teach Engineering
Discovering Phi: The Golden Ratio
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...
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The Fractal Geometry of Nature
Learners identify patterns found in nature. In this algebra lesson, students model situation in nature using fractals. They investigate biological geometric structures and draw conclusion based on geometric concepts.
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Johnny Appleseed
Students meet and delve into the life of the American Folk Hero, Johnny Appleseed through the activities of the eight lessons of this unit. Math and language activities offering whole and small group encounters.
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Scale Me Down
Students create scale drawings, and ultimately scale models, of real-world objects in this Math lesson about ratios, proportion, scaling factors, and cross products. The lesson includes ideas for cross-curricular extensions and is...
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Introduction to Infinite Series
For this infinite series worksheet, students explore the pattern in a series of numbers. They solve a sequence of partial sums and identify the limit. This two-page worksheet contains explanations, examples and approximately five...
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Fish Communities in the Hudson
Learning to read data tables is an important skill. Use this resource for your third, fourth, or fifth graders. Learners will will study tables of fish collection data to draw conclusions. The data is based on fish environments in the...
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Identifying Lines of Symmetry and Creating Reflections over a Line
Fifth graders review the concept of a line of symmetry by using pieces of paper that have pictures such as, letters of the alphabet, polygons, and designs made from polygons in order to determine if they have symmetry. The fine,...
Computer Science Unplugged
Twenty Guesses—Information Theory
How do we determine how much information to include and what can be left out? By playing a game of 20 questions, the class generates the best strategies for finding a number. They then move on to guessing the next letter in a short...
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Investigation: Crazy Caterpillars
First graders explore biology patterns by creating a model insect. In this patterns instructional activity, 1st graders utilize snap cubes and pattern blocks to recreate their own version of a centipede or caterpillar. Students create...