Identifying patterns is a crucial skill for all mathematicians, young and old. Explore the multiplication table with your class, using patterns and symmetry to teach about square numbers, prime numbers, and the commutative and identity...

Fourth graders use square tiles to help them explain the concept of square numbers.

Develop a definition of irrational numbers through an exploration of square roots. The 11th lesson in this series of 25 asks scholars to estimate the value of a square root. Learners observe as the estimation extends further and further...

Fifth and sixth graders explore prime numbers. They work with a partner to build rectangular arrays using twelve tiles. Factor pairs are noted and recorded on graph paper. Pupils construct rectangular arrays with a prime number and...

Teach cube roots by building on an understanding of square roots. The third installment of a 25-part series asks learners to solve simple quadratic and cubic equations using roots. Scholars compare square roots and cube roots throughout...

Explore the process of simplifying square roots through an analysis of perfect squares. The fourth lesson of 25 expects individuals to find the perfect square factors in each radicand as a means of simplifying. The perfect square factor...

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....

An extensive lesson explores equivalent fractions and is intended for three 60-minute periods. Young mathematicians compare and order fractions with like and unlike denominators. Included are worksheets, assessments, and answer sheets;...

Students discuss square numbers. In this math lesson, students find square numbers and support their answers. Students find sums and products that are square numbers.

Learners explore the patterns found in triangular and square numbers. In this number pattern lesson, students complete a worksheet exploring the relationship between triangular numbers and square numbers.

The class explores the concept of complex numbers on a website to generate their own Mandelbrot sets. They will practice performing operations with complex numbers and then to get a visual understanding, graph the absolute value of a...

Students explore number patterns. For this number pattern lesson, students discover the attributes of square and rectangular numbers as well as the number patterns associated with them. Students complete worksheet activities...

Fifth graders devise and use problem solving strategies to solve a magic square arrangement. In small groups they explore various strategies including non-algebraic and algebraic techniques, write an explanation of their solution, and...

Students work with rectangles to find generalizations for adding and subtracting odd and even numbers in part one of the lesson. In part two, students use geoboards to construct polygons, look for patterns, and find a general rule.

Young mathematicians explore two-digit subtraction. They will investigate multiple ways to subtract numbers involving regrouping. Resources are provided.

Students find patterns relating the lengths of the sides of squares to their areas. In this squares and square roots lesson, students draw squares and find their areas. They estimate the sides of square when given the area. Students use...

Fourth graders use the story of the discovery of irrational numbers to explore the different classes of numbers, the different ways in which numbers may be represented, and how to classify different numbers into their particular class.

Students identify rational and irrational numbers and their use in mathematical functions. Through demonstration, students discover the difference between rational and irrational numbers and their use. Using estimation skills students...

Kindergarteners explore various representations and uses of numbers to develop number sense. They participate in an activity and arrange patterns into groups. Students compare the sets and describe the objects in each set.

Children explore fractions on a conceptual level by making individual quilt squares. Each student works with small paper swatches to divide them into pieces that represent a given fraction. The class is then separated into groups and...

Measure your pupil's learning in a lesson designed to explore decimals by weighing different candies on a scale and recording the weight. Small groups then compare and order the decimal weights on a number line to show their...

Elementary learners explore coin mint dates. First, they listen to the book Alexander Who Used to be Rich Last Sunday by Judith Viorst. They then sort a collection of coins according to their mint date and put them in order from oldest...

Learners study how shapes can be divided into equal parts, that each part be equal to its counterpart, and combining parts equals one whole. They make the shapes out of modeling clay and take digital pictures of its parts to create an...

Learners experience how to illustrate some of the many connections between number and geometry. Through this 2-3 day focus on square numbers and triangular numbers, students make connections among mathematical topics.