Curated OER
Easy Worksheet: Counterexamples
In this counterexamples worksheet, high schoolers solve 10 short answer problems. Students prove the given statements false by providing a counterexample thus disproving the statement.
Curated OER
Write the Counterexample Problems
In this counterexample worksheet, students write counterexamples for six short statements. No example problems, definitions, or solutions are provided.
Curated OER
Write the Counterexample
In this counterexample worksheet, students provide counterexamples for the four given statements. The solutions are not provided.
Curated OER
Inductive Reasoning and Conjecturing
In this inductive reasoning and conjecturing worksheet, 10th graders solve 4 problems that include applying inductive reasoning and conjecturing to each problem. First, they determine if each conjecture is true or false based on the...
Curated OER
Divisibility Rules
In this divisibility rules worksheet, students solve 18 different problems that include applying the divisibility rules to each. First, they identify the hypothesis and conclusion in logical deduction. Then, students determine the...
Curated OER
Primes and Prime Factors
In this primes and prime factors worksheet, 8th graders solve 21 different problems to include identifying each number as prime, composite, or neither prime nor composite and listing all the primes less than 200. Then they complete each...
Curated OER
Geometry Concepts and Applications
In this concepts and applications review activity, 10th graders solve and complete 40 various types of multiple choice problems. First, they write the equation of a vertical line passing through a point. Then, students find the...
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...
Curated OER
If-Then Statements and Postulates
In this if-then statements and postulates instructional activity, 10th graders solve 16 various types of geometry problems that include identifying the hypothesis and conclusions of each conditional statement. Then, they write each...
Virginia Department of Education
Logic and Conditional Statements
If there is a conditional statement, then there is a hypothesis and conclusion. Pupils learn how to identify the parts of conditional statements. Class members continue to work with conditional statements and rewrite them in their many...
Mathed Up!
Proof
Scholars learn how to write number theory proofs by viewing a video reviewing techniques for proofs on divisibility, parity, and consecutive integers. They then write proofs for a handful of conjectures on a worksheet.
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...
Flipped Math
Reasoning and Proof
Make sure the conditions are right. Pupils watch a video introducing conditional statements and their related statements. Learners find out how to identify the hypothesis and conclusion as well as write the converse, inverse, and...
Curated OER
Inductive Reasoning and Conjecturing
For this inductive reasoning and conjecturing worksheet, 10th graders solve 8 different problems that are related to using inductive reasoning and conjecturing. First, they determine if the conjecture is true or false based on the given...
Curated OER
Logical Problem Solving
In this logical problem solving learning exercise, 7th graders solve and complete 4 different types of problems. First, they fill in the boxes for each balance problem. Then, students state whether each statement given is true or false...
Curated OER
Worksheet 2: Graphs, Functions and Derivatives
In this math worksheet, students answer 7 questions having to do with graphing derivatives of functions, rectilinear motion, speed and distance.
Noyce Foundation
Counters
For some, probability is a losing proposition. The assessment item requires an understanding of fraction operations, probability, and fair games. Pupils determine the fractional portions of an event. They continue to determine whether...
Noyce Foundation
Ducklings
The class gets their mean and median all in a row with an assessment task that uses a population of ducklings to work with data displays and measures of central tendency. Pupils create a frequency chart and calculate the mean and median....
Inside Mathematics
Archery
Put the better archer in a box. The performance task has pupils compare the performance of two archers using box-and-whisker plots. The resource includes sample responses that are useful in comparing individuals' work to others.
Inside Mathematics
Quadratic (2006)
Most problems can be solved using more than one method. A worksheet includes just nine questions but many more ways to solve each. Scholars must graph, solve, and justify quadratic problems.
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...
Inside Mathematics
Scatter Diagram
It is positive that how one performs on the first test relates to their performance on the second test. The three-question assessment has class members read and analyze a scatter plot of test scores. They must determine whether...
Noyce Foundation
Boxes
Teach your class to think outside the box. Scholars use the concept of equality to solve a problem in the assessment task. They determine how to use a scale to identify the one box out of a set of nine boxes that is heavier than the others.
Inside Mathematics
Quadrilaterals
What figure is formed by connecting the midpoints of the sides of a quadrilateral? The geometry assessment task has class members work through the process of determining the figure inscribed in a quadrilateral. Pupils use geometric...