Pennsylvania Department of Education
Alike and Different
Students compare and contrast objects and are introduced to a Venn Diagram. In this alike and different instructional activity, students make observations regarding properties of objects. Students classify object and build ideas about...
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Calculator-Based Lessons Help Examine Real-World Data
Students may determine equations based on graphs and regression models.
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Introduction to Conic Sections
Learners slice cones and identify the different conics formed. They then derive the formula to solve problems involving cones. Pull out the TI calculators to visualize the slicing and the different parts and properties created.
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Graphing at all Levels: It's a Beautiful Thing!
Mixing math and art is done in this lesson by applying graphing knowledge to create a unique piece of art. This lesson varies acording to the graphing knowledge of the artist. First, learners identify and review various types of graphing...
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Comparing Costs
Students compare the costs of two cellular phone plans and determine the best rate. They use a table and a graph of points plotted on a Cartesian plane to display their findings. Students write an equation containing variables that could...
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Cockroach Slope
Students identify the slope of linear functions. In this slope lesson, students collect data and graph it. They write equations with no more than two variables and use technology to explain their data.
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Factoring Trinomials
High schoolers factor trinomials. In this algebra lesson, students identify the different integers making up the trinomial and use the special pattern to factor them. They continue to model the equations and how to factor correctly.
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The Energy Debate - Stoichiometry
Students determine crude oil can be separated into useful fractions by a process of fractional distillation. They write a balanced equation for the reaction between a hydrocarbon and oxygen.
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Sum of Products and Product of Sums Expression
In this electrical circuit worksheet, students answer a series of 21 questions about sum of product and product of sum, and Boolean expression for a logic circuit. They design and build a circuit board using PC-board relays to show an...
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Connecting Factors and Zeros
In this Algebra II lesson, learners explore the connection between the factored form of a quadratics and the zero of a function. Students use a graphing calculator to verify factoring numerically and graphically.
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Exponential Functions and the Natural Logarithm
Young scholars solve exponential and log functions. In this algebra instructional activity, students graph natural log and logarithmic functions. They compare and contrast between logs and the exponential graphs.
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Polar Graphs
Students graph polar graphs. In this calculus lesson, students convert between polar and rectangular coordinates. They graph their solution on the TI calculator and make observations.
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Exploring the Exponential Function
Learners collect and analyze data regarding exponential functions of the form y = abx. Students explore the affects of changing parameters on the graph of the function.
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Paper Towers
Students have the opportunity to use model-building as a way to help comprehend the forces and phenomena at work in the world around them. They describe gravity as a universal force that pulls everything toward the center of the earth....
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Investigating the Slopes of Parallel and Perpendicular Lines
High schoolers investigate parallel and perpendicular lines. They use Cabri Jr. to construct and explore the relationships between the slopes of parallel and perpendicular lines. The drawing and measurement tools available with Cabri Jr....
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Geometric Fractals and the Chaos Game
Learners define fractals and patterns. They explore how a seemingly random process can result in a pattern. Students practice probability and fractions skills by playing the chaos game online.
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Surface Area of a Leaf (Grades 7-9)
In this math and science activity, students read about the process of photosynthesis and plant growth. They determine how a plant's ability to create food is dependent on the surface area of its leaves using geometric calculations. They...
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Pre-Lab Questions-Acids and Bases
For this acids and bases worksheet, students answer eight questions about acids and bases prior to doing a titration lab. They define both acids and bases and explain what a neutralization reaction is as well as a titration.
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Introduction to Fractals: Infinity, Self-Similarity and Recursion.
This lesson introduces high schoolers to the ideas involved in understanding fractals. They develop a sense of infinity, self-similarity and recursion and
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A Geological Puzzle
Young scholars compare and contrast the various types of rocks on each continent. In groups, the calculate the rock ages and types to determine if the continents, in their opinion, were joined at one time. They develop two imaginary...
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Volumetric Analysis 3-To Determine the Relative Molecular Mass of a Soluble Base
In this volumetric analysis instructional activity, students determine the relative molecular mass of an unknown group 1 carbonate by experimenting with a known amount of hydrochloric acid. Students use volumetric analysis to determine...
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Matrices and Transformations
For this matrix worksheet, learners explore and solve problems with matrices by addition, subtraction, multiplication and using linear equations. There are 28 problems with some answers.
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A Field of Beans
Beans, or legumes as they are sometimes called, are the topic for an integrated multi-subject lesson. Youngsters will read, write, observe, and research everything there is to know about beans. They read a bean story, conduct a bean...
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Making Change
Students investigate how to make change when purchasing items. In this making change lesson, students examine a scenario to calculate the correct change. Students play Bingo based on information and calculations to determine the amount...