Flipped Math
Unit 2 Review: Reasoning and Proofs
The proof is in the review. Individuals watch a short review of the content from the unit to prepare for the unit exam. The review covers inductive reasoning, conditional and related statements, and two-column algebraic and geometric...
Curated OER
Count on Me
Fourth graders use inductive reasoning to find algebraic patterns in geometric figures. They use technology (i.e., calculators, computers) and manipulatives to discover number patterns involving geometric concepts. They solve concrete...
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Inductive and Deductive Reasoning
Students use logical arguments and inductive reasoning to make or disprove conjectures. After observing a teacher led demonstration, students discover that the deductive process narrows facts to a few possible conclusions. In groups,...
Virginia Department of Education
Inductive and Deductive Reasoning
Introduce pupils to the two types of reasoning, inductive and deductive. Classmates work in pairs or small groups to learn the difference between the two and apply these reasonings to develop valid conclusions.
Buffalo State
Adding and Subtracting Integers Unit
Just because one integer is larger than another doesn't mean it will make sense right away. Go beyond note taking and show learners, through the use of algebra tiles and a Four-Pan Algebra Balance, how the numbers relate to one another...
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Inductive Reasoning
In this algebra worksheet, 10th graders apply inductive reasoning as they figure out the next number in the sequence or pattern. There are 53 problems.
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Connecting Algebra and Geometry Through Coordinates
This unit on connecting algebra and geometry covers a number of topics including worksheets on the distance formula, finding the perimeter and area of polynomials, the slope formula, parallel and perpendicular lines, parallelograms,...
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Deductive Reasoning
Tenth graders investigate deductive reasoning. In this geometry instructional activity, 10th graders compare and contrast inductive ns deductive reasoning. Students use deductive reasoning to investigate algebraic proof and explore...
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Arithmetic Chains
Students complete a chain of numbers given the outcome. In this geometry lesson, student use deductive and inductive reasoning to solve problems. They create a formula and ways to predict numbers in the chain without starting over.
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Get Your Numbers in Shape - TI-83
High Schoolers use the TI-83 calculator to produce a sequence, explore patterns and find a linear or quadratic equation for a given pattern. They use inductive reasoning to make conjectures about patterns. They find the Y-value of a...
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Preparation and Transition to Two-Column Proofs
Students investigate proofs used to solve geometric problems. In this geometry lesson, students read about the history behind early geometry and learn how to write proofs correctly using two columns. The define terminology valuable to...
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Using Logical Reasoning
In this geometry worksheet, 10th graders analyze and solve logic puzzles. The one page interactive worksheet contains five multiple choice questions, provides a hint, and is self checking.
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Mathematical Induction
In this Algebra II worksheet, 11th graders explore two examples of arguments that can be formalized with mathematical induction. The one page worksheet contains two problems with explanation.
National Security Agency
Multiple Representations of Limits
After an introductory activity to demonstrate the theory of a limit, additional activities approach a limit from graphical, numerical, and algebraic methods. The activity looks at the multiple ways of understanding and evaluating a limit.
Curated OER
Logic and Proof Writing
Students define inductive and deductive reasoning and write two column proofs. In this geometry activity, students analyze arguments and draw conclusion. They define steps necessary to arrive at the correct answer when completing proofs.
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Finding the nth Term
Students analyze patterns and try to figure out the next term in the sequence. In this algebra lesson, students discuss the functions rule and how it works to solve sequences. They practice solving problems and find the nth term or what...
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Iterating Linear Functions
Students use a spreadsheet to investigate data. In this algebra lesson plan, students collect and graph data on a coordinate plane. They explain properties of a linear equation both algebraically and orally.
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The Price Is Right
Students create a list of products with estimated prices. In this algebra instructional activity, students learn to write equations using variables. They match their created list with that of actual products and compare their prices,
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Squares in the Light
Students collect and analyze data using a graph. In this algebra lesson, students explain their findings orally and with a graph. They use their knowledge to solve real life scenarios.
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Iterating the Function over Real Numbers
Students use a spreadsheet to find sequences of numbers. In this algebra lesson, students find the values for c of a quadratic written in standard form. They relate the behavior of the graph to the values of the equation.
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Iterating the Function and Complex Numbers
Students identify the end behavior of polynomial graphs. In this algebra lesson, students factor and solve quadratic and complex equations. They factor out negative roots and identify the real and imaginary parts of an equation.
Curated OER
The Fuelish Fact Finding
Students define fluctuation and the price of food. In this algebra activity, students create a budget to live on based on their living expenses. They create a chart and explore the cause and effect of real life scenarios.
Mathematics Vision Project
Geometric Figures
Logical thinking is at the forefront of this jam-packed lesson, with young mathematicians not only investigating geometric concepts but also how they "know what they know". Through each activity and worksheet, learners wrestle with...
Inside Mathematics
Party
Thirty at the party won't cost any more than twenty-five. The assessment task provides a scenario for the cost of a party where the initial fee covers a given number of guests. The class determines the cost for specific numbers of guests...