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Pennsylvania Department of Education
Problem Solving with Fractions
Solve story problems using fractions or decimals. Then, determine the reasonableness of answers using estimation.The detailed lesson plan includes essential questions, vocabulary, a materials list, and links to related units.
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Challenge: Graphing Functions
Here is a functions worksheet in which learners solve functions containing variables, graph the coordinates, and answer two questions about it. They complete 14 functions.
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Solving Systems of Equations
Learners explore the concept of solving systems of equations with two equations and two unknowns. In this solving systems of equations lesson, they work through problems of solving systems by substitution, elimination, and graphing....
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Mapping a Site Using a Coordinate Plane
Learners map their playground as if it were an archeological site. They locate objects on the playground and determine their location using coordinate points. A related lesson is Coordinate Grid: Mapping an Archeological Site.
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Linear Inequalities in Two Variables
Use this worksheet as a warm up, a refresher exercise, or a practice after a more detailed lesson on graphing linear inequalities in two variables. Start with boundaries that are horizontal or vertical, then move into graphs with...
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Shapes from Shapes
Geometric shapes are really cool. Examine triangles, quadrilaterals, trapezoids, rhombuses, parallelograms, pentagons, and hexagons with your class. They draw large shapes and small shapes then compare them to understand their shapely...
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Pirate Map
Learners write directions explaining how to get from one location to another by using a map of their town and use simple maps to identify and locate places.
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Scale Skills
In this mapping skills worksheet, students read an excerpt that describes three different types of scales and how to calculate distance on a map. They respond to two short answer questions using the map provided on the sheet and to...
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Worksheet 24 - Derivative
In this derivative worksheet, students identify second derivatives and find the directional derivative of a function. They also list the extremes and saddle points of a function. This one-page worksheet contains seven multi-step problems.
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Worksheet 14
In this math worksheet, students analyze a path around a circle. The interval is defined. Students sketch a graph of a given parametric curve. Five application problems give students practice using these concepts in real life situations.
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Properties and Attributes of Polygons
In this geometry worksheet, 10th graders determine if a polygon is convex or concave and apply the polygon Angle sum theorem and the polygon exterior angle sum theorem to determine the measures of interior and exterior angles of a...
Virginia Department of Education
The Exercise Fields
Horses need exercise, too. Scholars create linear equations to model the perimeter of exercise fields for horses. They finish by solving their equations for the length and width of the fields.
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Why do Stars Rise in the East?
In this stars rise in the east activity, students use geometry to show how the Earth rotates from west to east and why celestial bodies appear to rise in the east and set in the west. Students draw a figure and label given points in...
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Solve Linear Systems of Equations: Graphing, Substitution, and Elimination
For this system of linear equations worksheet, students solve by using graphing, substitution, and elimination. There are 44 problems.
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Understanding: Computing
Students examine how a pebble calculator works and compare it to an abacus. After a discussion on the abacus and pebble calculator and how each works, they construct their own pebble calculators. They determine how to represent...
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Solving Systems of Inequalities
In this algebra instructional activity, students solve systems of inequality using the graphing method. There are 5 questions with lots of examples and an answer key.
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Fly Me to the Moon!
In this Moon travel worksheet, students construct a simple rocket trajectory called the Hohmann Transfer orbit using a compass, string, paper and a pencil. Students solve 2 problems which include finding the number of hours it takes to...
Pennsylvania Department of Education
Using the Coordinate Plane in Problem Solving
Fifth graders practice solving problems. In this fraction and decimal lesson, 5th graders recognize the relationship between fraction and decimals. Students estimate problem results and write expressions to use for problem...
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Geometric Probability
In this geometry instructional activity, 10th graders determine the probability of an event occurring based on the geometric sketch. The one page instructional activity contains fourteen problems. Answers are included.
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Systems of Linear Equations
Students use the calculator to represent a situation as a table, graph, and equation. They write systems of equations and find solutions to systems of equations. In addition, they explain and justify how they determined their
solutions...
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Systems of Linear Equations - Standard Form
Students write systems of equations and find solutions to systems of equations. They explain how they determined their solutions to a system of equations and justify their solutions. In addition, they write equations in standard form and...
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Quadratic Functions
Students explore the concept of quadratic equations. In this quadratic equations worksheet, students determine what shifts of a parent graph will look like by describing in sentences. Students factor quadratic expressions and...
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Reflections
Tenth graders perform reflections on different geometric shapes. In this geometry worksheet,students define the concept of geometric reflections and find the coordinates of the reflection on a coordinate grid.
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Angle Exploration and Classification
Students compare and contrast angles and identify them as acute, obtuse, right, or straight angles. They create rays and angles using uncooked spaghetti, read and discuss key vocabulary terms, and complete a variety of geometry worksheets.
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