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Curated OER
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,...
Illustrative Mathematics
Find the Angle
This a fun problem for young geometers to play with while gaining important insight into deductive reasoning. Some will find the answers very quickly, others might take a less direct path, but all will use their knowledge of the sum of...
Curated OER
The Right Stuff
Young scholarsare introduced to the Pythagorean Theorem by exploring right triangles and the squares built on each side. They apply the Pythagorean Theorem to real-world problems. Students u se informal and nonformal arguments of proof...
Curated OER
Geometry, Measurement & Reasoning
Students construct two-column proofs. In this geometry lesson, students use deductive reasoning and geometric properties to justify given geometric statements. Students compare and contrast proofs.
Intel
Forensics: Get a Clue
Although the methods are all scientific, forensic science was started by police officers rather than scientists, who relied on observation and common sense. Young detectives use many tools to solve crimes around the school in a...
Curated OER
Problem Solving: Steps and Strategies
Young scholars explore the concept of problem solving strategies. In this problem solving strategies lesson plan, students discuss methods for solving problems such as re-reading a problem, stating the facts, drawing a picture and so on....
Curated OER
Argumentation and Logic
Students recognize inductive and deductive reasoning and analyze common fallacies in critical thinking. In this argumentation and logic lesson, students use role playing activities and specific instances of inductive and deductive...
Curated OER
The Race of Baseball All-Stars
Collect and analyze data. Pupils graph their data and model with it to solve real life problems. They use logic and deductive reasoning to draw conclusions.
Curated OER
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.
Inside Mathematics
Expressions
Strive to think outside of the quadrilateral parallelogram. Worksheet includes two problems applying prior knowledge of area and perimeter to parallelograms and trapezoids. The focus is on finding and utilizing the proper formula and...
Curated OER
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...
Curated OER
Patterns and Possibilitiies
Students gain an understanding of the value and importance of patterns in mathematics. Through video, interaction and hands-on activities, students identify concrete and abstract patterns incorporating logic and deductive and inductive...
Curated OER
Mixing Up Ratios
Young scholars solve problems of ratio and proportions using hands on. In this algebra lesson, students vary the concentration of a fruit drink using parts of a ratio.
Curated OER
As the Bird Flies
Students investigate the properties of lines and congruent triangle theorems as well as apply geometric properties and relationships to real-world mathematical problems. Given two different scenarios, they examine maps that have been...
Curated OER
Exploring Chords: Products of Chord Segments
Students identify the properties of chords. For this geometry lesson, students multiply chord segments to find the solution to their problem. They construct two chords that cross on a circles.
Curated OER
Graphs and Data
Young scholars investigate poverty using graphs. In this algebra lesson, students collect data on the effects of poverty and use different rules to analyze the data. They graph and use the trapezoid rule to interpret the data.
Curated OER
Iterating Linear Functions
Students use a spreadsheet to investigate data. In this algebra lesson, students collect and graph data on a coordinate plane. They explain properties of a linear equation both algebraically and orally.
Curated OER
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.
Curated OER
Round and Round and Round We Go!
Students investigate motion using a CBL. In this algebra lesson, students collect and graph data on a coordinate plane. They define and identify amplitude and period of conic graphs.
Curated OER
Tai Chi
Students explore the concept of yin and yang. In this Tai Chi lesson, students create a working definition of yin and yang as they read about its role in Eastern philosophy. Students also discuss the relationship between opposites.
Curated OER
Triangles & Congruence, Proportions & Similarity, Right Triangle & Trigonometry
Students are introduced to the topic of congruence and proportions in Geometry. Using technology, they construct and validate the properties of various geometric figures and identify whether it is congruent or proportion to the objects...
Curated OER
Who Does the Lottery Benefit?
Students investigate the pros and cons of the lottery. In this algebra lesson, students use the formulas for permutation and combination to test their arguments about the lottery. They collect data about their argument and plot it on a...
Curated OER
Putting Your Best Foot Forward
Third graders measure their feet and their parents' feet, record data on computer-generated graphs, and calculate and record mean, median, and mode.
Curated OER
Fraction Equivalence
Fourth graders explore fractions. They compare different fractions using fraction bars. Students find equivalent fractions and they use fraction bars to visualize addition of fractions.