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.
Balanced Assessment
Plenty of Pentagons
Why are only four colors needed to color webs from regular pentagons, not five? An assessment task requires young mathematicians to first construct regular pentagons using a compass and straightedge, then has them consider a shape...
Balanced Assessment
Red Dots, Blue Dots
Count the connections between dots. Young mathematicians come up with a method to determine the number of connections between pairs of dots. The assessment leads the class to determine the connections they can make when groups are...
Illustrative Mathematics
Reasoning about Multiplication
In critiquing someone else's theory, learners share insight into their own understanding of mathematical concepts. Fifth graders will explore the notion that products are always larger than their factors. While this statement is...
Illustrative Mathematics
Waiting Times
Probability prevails in this assignment as youngsters determine the probability of finding a blue pen in a cereal box when they can come in blue, green, yellow, or red. Learners set up a simulation to determine the outcome of compound...
EngageNY
An Appearance of Complex Numbers 1
Complex solutions are not always simple to find. In the fourth lesson of the unit, the class extends their understanding of complex numbers in order to solve and check the solutions to a rational equation presented in the first lesson....
Curated OER
Rain and Lightning
What are the chances that there will be rain and lighting today? Use this activity to study independent and dependent probabilities with your class. Learners explore the differences between P(A and B) and P(A or B) using mock...
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University of Waterloo (Canada)
University of Waterloo: Cemc: Math Circles: Number Theory Ii [Pdf]
This learning exercise provides a series of problem-solving questions that require higher order thinking skills. Questions will include finding the greatest common divisor, and least common multiple.
Oswego City School District
Regents Exam Prep Center: Practicing With Properties of Real Numbers
Test your knowledge of the number properties. This challenging practice really puts you to the test. Assessment covers all number theory properties: associative, commutative, distributive, inverse, and identity.
Oswego City School District
Regents Exam Prep Center: More Practice With Properties of Real Numbers
How well do you know your number properties? Take this quiz and find out what you know or what you don't know. Immediate feedback. Check your answer right online.
Oswego City School District
Regents Exam Prep Center: Algebra: Practice Tests
Choose from three different practice exams that cover all Integrated Algebra topics reviewed in the Regents Exam Prep Center website: number theory, operation, variables, expressions, equations, inequalities, patterns, functions,...