Curated OER
The Gum Drop
Students find the area of three figure by the traditional formulaic methods. Then they count the number of grid squares to double check. They show an intuitive sense of Pick's Algorithm by counting every two boundary squares as one unit....
Curated OER
Measuring Angles
Solve and complete 18 problems about angles. First, demonstrate that each conjecture is false by giving a counterexample. Then write the inverse, contrapositive, and converse for the each statement. In addition, write a biconditional...
Illustrative Mathematics
Dan’s Division Strategy
Can Dan make a conjecture about dividing fractions with the same denominators? That is what your scholars are to determine. They must show that if the statement is true, they understand how the quantities were determined, and how the...
EngageNY
Distributions and Their Shapes
What can we find out about the data from the way it is shaped? Looking at displays that are familiar from previous grades, the class forms meaningful conjectures based upon the context of the data. The introductory lesson to descriptive...
Bowland
Magic Sum Puzzle
Learners discover the magic in mathematics as they solve numerical puzzles involving magic sums. They then make a conjecture as to why no additional examples are possible based on an analysis of the puzzles.
Curated OER
V-Numbers
Students explore problem solving strategies. Gin a novel situation, students develop a mathematical theory. Through models and mathematics, students justify their solution. Students definea V-sets and discuss conjectures about each set.
Curated OER
Challenge: Skills and Applications Lesson 2.4
In this algebra worksheet, students create arguments using conjectures. They identify the sequence and the pattern and formula. They solve products and prove sum of integers. There are 8 questions.
Curated OER
Hot Wheels
Students observe the action produced by toy cars. In this geometry lesson, students discuss motion and distance as they relate to the movement of a spherical object.They collect data and make conjectures based on their data.
Curated OER
Perimeters, Patterns, and Conjectures
Students discover patterns and write conjectures relating to perimeters and polygons. Working in cooperative learning groups, they use manipulatives and graphic organizers to solve problems then answer a series of questions in which they...
Curated OER
Dilations with Matrices
Examine dilation with matrices with your class. Learners write a conjecture for how the scale factor determines the size of an image. They then use their conjecture to write a matrix multiplication problem for the illustrated triangle...
Curated OER
It's Not Conjecture, Look! It's Architecture!
Students examine how architecture reflects historical time periods. They conduct research on the History Detectives website, complete a fact sheet, sequence photographs of different architectural styles, and create an illustration of a...
EngageNY
How Do Dilations Map Lines, Rays, and Circles?
Applying a learned technique to a new type of problem is an important skill in mathematics. The lesson asks scholars to apply their understanding to analyze dilations of different figures. They make conjectures and conclusions to...
EngageNY
Circles, Chords, Diameters, and Their Relationships
A diameter is the longest chord possible, but that's not the only relationship between chords and diameters! Young geometry pupils construct perpendicular bisectors of chords to develop a conjecture about the relationships between chords...
EngageNY
Fraction Multiplication and the Products of Decimals
Class members come up with a hypothesis on the number of decimal digits in the product of two decimals. Learners work in groups to complete several decimal multiplication problems. The results help groups develop a conjecture on the...
Curated OER
Inductive and Deductive Reasoning
High schoolers 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...
Curated OER
Worksheet 1: Fibonacci Numbers
In this Fibonacci worksheet, students prove by induction the Fibonacci numbers are recursive. They find a recursive definition for a given set of numbers. This two-page worksheet contains five multi-step problems that involve proofs.
Curated OER
Four Color Theorem
Students identify and interpret how the Free Response questions are graded on an AP Exam. They also discuss coloring the included map, placing several examples on the board to determine the number of colors necessary to color each....
Curated OER
Conjectures For Intersecting Circles
Students identify properties of circles. In this geometry lesson, students identify the center of two intersecting circles.They use Cabri software to create circles and move it around to make observation.
Virginia Department of Education
Rotation
Rotate this resource into your lesson plans. Scholars rotate polygons in the coordinate plane by multiples of 90 degrees. They then compare the original and new figures to develop conjectures about coordinate points after rotations.
Curated OER
Exploring Special Segments in Triangles
Students discover that four special segments have a common intersection point. They identify the position of the intersection point in triangles. They produce conjectures about areas of the divided triangles.
Key Curriculum Press
Triangle Inequalities
Properties about triangles are explored in this activity. Geometers make conjectures about the length of a triangle's sides, the length of the angles in relation to the length of the sides, and the measure of the exterior angles of a...
Ohio Department of Education
I Can Name that Angle in One Measure! - Grade Eight
Collaborative groups work with geometry manipulatives to investigate conjectures about angles. They create a graphic organizer to use in summarizing relationships among angles in intersecting, perpendicular and parallel lines cut by a...
Curated OER
Perpendicular Bisector
In this perpendicular bisector worksheet, students fold paper, according to instructions, to discover the perpendicular bisector of a segment. They explore the distances from the bisector to the endpoints of a specified line segment. ...
Curated OER
Prize Numbers
Students explore what a proof is, how and why mathematicians create them and compose essays on how reason and logic are employed in the workplace. They explore whether any three lines can make a triangle and attempt to verify Goldbach's...
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