Illustrative Mathematics
Equivalent fractions approach to non-repeating decimals
Trying to get your class to think of decimals as fractions and vice versa can lead to interesting discussions. After all, we can usually understand quickly that 1/4 is .25 but why is 1/7 not so easy to convert? This activity looks...
PBS
Add, Subtract and Multiply Fractions
Your future chefs will appreciate this comprehensive instructional activity where learners practice operations on fractions using pizza and soup analogies. Learners begin with a pizza analogy that requires the learners to...
Curated OER
March of the Dividing Ant
Students inspect divisibility rules. In this divisibility rules instructional activity, students study the relationship between factorization and the divisibility rules for 2, 3, 5, 6, 9, and 10. Students read One Hundred Hungry Ants and...
Curated OER
Exponential Expressions - Perfect Squares, Square Roots
Color tiles are used to model perfect squares. Alone or in pairs, middle schoolers will find patterns. Afterward, the relationship between perfect squares and roots will be discussed as a whole class.
Curated OER
Introductory Algebra Chapter R Review
In this math worksheet, middle schoolers solve the problems and simplify the fractions. Each of the sets is related to the instructional objectives.
Curated OER
Doubling Up
Fifth graders explore the powers of two and substitute values into their own names by solving a math word problem. They perform calculations with powers of numbers, find square roots, and explain the relation between a square root and a...
Curated OER
Exponent Power
Students explore multiplication and division problems using exponents. Students examine positive, negative and zero powers. They relate powers to geometric sequences. Students devise strategies and discover rules of exponents.
Curated OER
Babylonian Mathematics 2
Students research Babylonian mathematics. They calculate simple surd numbers. Students find the fractional form of rational numbers expressed as decimals. They work with numbers in base 60.
Curated OER
The Difference of Two Squares
Students practice the use of number properties through exploring the difference of two squares, creating an array model for multiplication, and work with decimal numbers. In groups, students explore patterns in an array and determine...
Curated OER
Spheres
Students work algebraic expressions with various types of powers to find the solutions. They Students also become familiar with problems that involve the square roots of numbers. The work should be completed with computational accuracy.
Curated OER
Base 3
Students investigate this problem that aims to give a better idea of our decimal system by looking at a comparable system - the base 3 system. By seeing how base 3 numbers work students should have a better appreciation of base 10...
Curated OER
Sieve of Eratosthenes
Students investigate numbers, ways of representing numbers, relationships among numbers and number systems. They comprehend the meaning of operations and how they relate to each other.
Curated OER
Clock Arithmetic and Cryptography
Learners perform basic operations in modular (clock) arithmetic. Students encode and decode messages using shift and affine ciphers. Learners apply their multiplication, division, addition, and subtraction skills.
Curated OER
Quickies
In this math problem solving worksheet, middle schoolers answer 5 problems in 10 minutes. The problems include a variety of questions that could be solved by students who have had geometry and algebra.
Curated OER
More Equations - Week 8 (Consecutive Numbers)
In this consecutive numbers worksheet, students determine consecutive numbers in a sequence, solve problems using the quadratic equation, and examine coefficients. This two-page worksheet contains eight problems.
Curated OER
Square Roots
Students differentiate between perfect roots and rational roots. In this algebra lesson, students perform operation using roots. They add, subtract, multiply and divide rational expressions.
Pennsylvania Department of Education
Analyzing Numeric and Geometric Patterns of Paper Pool
Students use concrete and pictorial representation of geometric patterns to extend patterns. In this geometric patterns lesson plan, students identify patterns and extend them.
Curated OER
The Language of Mathematics
Learners integrate the language, concepts and skills of math into the daily routine and classroom environment. They think mathematically by participating in short, daily, individual, small group, whole group and transitional activities...
Curated OER
Belongs, Doesn't Belong
Fifth graders discover the rule used to sort a set of data into two sets, those data that belong according to the rule and those data that don't belong. Students participate in a game to determine the rule. They discuss strategies for...
Alabama Learning Exchange
Alex: My Favorite Number
The activity allows students to review many of the number theory concepts. Students will pick a composite number write verbal expressions about the number, find the factors, prime factorization, list multiples, draw a cartoon character...