Pennsylvania Department of Education
Using Multiplication to Solve Word Problems
Fourth graders solve word problems using multiplication. In this multiplication lesson, 4th graders write and solve word problems using their prior knowledge of multiplication.
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How Many More?
Students complete subtraction problems where they use goldfish crackers as their manipulatives in the problem. In this subtraction lesson plan, students use words and pictures to also show their problems.
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Balancing
Students use a balance to complete subtraction problems and weigh out the items they take away. In this subtraction lesson plan, students use a pan balance and record their equations.
Pennsylvania Department of Education
Round Numbers to Nearest Ten or Hundred
Third graders review telling time. For this lesson on telling time, 3rd graders discuss various items that show length of time, including clocks, calendars and sand timers. Students review and practice what they already know about...
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Virtual Field Trip: Lodging and Meals
Students calculate the costs for lodging and meals for a virtual field trip. They calculate the number of nights lodging needed for road and city travel and the number of meals needed, the costs for each, and input the data using...
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Pattern Block Polygons
Sixth graders create polygons. In this shapes lesson, 6th graders explore prefixes such as oct, tri, quad, pent, etc. and share their findings. Students use pattern blocks to create two different polygons and label them.
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Clock Arithmetic and Cryptography
Students investigate modular clock arithmetic and cryptography. They perform basic operations in modular (clock) arithmetic and encode and decode messages using simple shift and affine ciphers.
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Are You a Radical or Just a Square Root?
Fourth graders discover that the inverse of squaring is finding a square root. and that square roots are found in many formulas used in many disciplines. They utilize a worksheet imbedded in this plan that gives them quite a bit of...
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The Case of the Missing Middle Term
Students examine the difference of squares equation, and multiply binomials using the FOIL method. They complete the Case of the Missing Middle Term worksheet.
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Solving Problems Involving Chords, Radii, Tangents, Secants and Arcs within the Same Circle
Tenth graders apply their knowledge of angles related to a circle, radii, secants, tangents and chords of a circle. They practice using formulas related to a circle. They also apply what has been practiced to real life situations.
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Simplifying Expressions (Multiplication and Division)
Seventh graders simplify algebraic expressions using multiplication and division to combine like items and solve for the variable. They work with inverse operations to solve equations with guided practice. Students complete various...
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Clock Arithmetic and Cryptography
Students explore the concept of modular arithmetic and cryptography. In this modular arithmetic and cryptography lesson, students use applets to explore modular arithmetic using a clock and Caesar Ciphers. Students exchange their ciphers...
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Decode Word Is..
Students solve problems using patterns. In this algebra lesson, students identify the relation, domain and range of a function. They graph functions using coordinate pairs.
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Visual and Number Patterns
Fourth graders develop strategies for identifying geometric and number patterns. In this mathematical patterns lesson, 4th graders use pattern blocks to make repeating patterns with numbers and shapes. Students then explore number...
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Tortillas
Learners convert recipes for tortillas. They calculate the amounts of ingredients as they convert recipes and write an explanation of the task to demonstrate their calculations. After reviewing their calculations, they demonstrate how...
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Sports Bag
Students determine an efficient layout of the pattern pieces needed to make a sports bag with given dimensions and specifications. Given a word problem, data set and a diagram, students evaluate the information they have available and...
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Angles and Arcs
Learners discuss the sum of central angles and use string to create them on circles. They find the measure and length of both minor and major arcs.
Students give examples of concentric, similar, and congruent circles and congruent arcs.
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Unit Perimeters and Areas
Students use Geometers SketchPad to find the area and perimeter of several shapes. In this geometry lesson, students determine area of rectangles and progress through irregular polygons. None of the referenced worksheets are included...
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Cannot Buy Me Love
Young scholars investigate the concepts that are related to finance and how it is used in the world. They take part in activities that are focused around the use of a spreadsheet while using a T-chart to simulate a ledger of credits and...
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Multiple Ways to Add and Subtract
Third graders recall multiplication facts to tens. They recall factors of numbers generated by multiplication facts to ten. Students become familiar with the use of brackets in notation. They multiply two digit numbers by a single...
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Solving One Step Equations
Learners observe and demonstrate the step-by-step process for solving one-step equations. They view a teacher-created PowerPoint presentation, solve one-step equations, and in small groups create a PowerPoint presentation.
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Fraction Trains
Students examine how multiples of the denominator indicate that a fraction can be renamed as a whole number, and convert improper fractions to mixed numbers. Independently they read examples, and complete a variety of problems on a...
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Decimals: Collaborative Lesson
Students explore mathematics by participating in a group activity. In this number value lesson, students identify the uses for decimals and how to best estimate whole numbers based on decimals and fractions. Students collaborate with...
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