NCTM offers a featured resource in your grade band each month to help you make the most of your NCTM membership.
Shirt Full of Buttons (Pre K-2) Students count the number of buttons they are wearing and the work together to create a graph. In the virtual environment, this graph could be created using a slides presentation or online whiteboard. Outside graphics or objects could be incorporated as the the button source.
Found Pounds (3-5) Students will use food to demonstrate the difference between pounds and ounces.
Middle School (6-8)
Shops at the MallStudents are tasked to determine and research which stores in the mall are less or more prevalent during this day and age. Scale modeling and percent of space used are vital concepts that are used throughout the activity.
High School (9-12)
PinwheelDecember 16th is Pythagorean Theorem Day! First, find out why! Then, apply the theorem to calculate the lengths of diagonals in Pinwheel.
Creating, Describing, and Analyzing Patterns (Pre K-2) Students can explore and set the level of challenge they would like for making and continuing patterns in this Illuminations interactive.
Analyzing Designs (3-5) Students will explore rotational symmetry by creating their own unique quilts. Students will predict the effects of their design choices on the design with regard to turns, slides and flips.
How Did I Move?Collaboratively, students investigate movement on a football field to apply the concepts of functions and systems of equations.
Is the Fair Fair?Is the Fair Fair? Students figure out the probability of winning a game in this lesson but its a fantastic resource for teachers too! Examples of student responses in the teacher packet demonstrate the various ways that the learning goal can be mastered.
Making Tens: Finding Addends that Sum to Ten (Pre K-2)Students have the chance to explore the combinations of ten in this hands-on activity.
Odd Man Out: Identifying Sums of Numbers as Odd or Even(3-5)Students will explore the meanings of odd and even as they analyze sums of addends. The use of partner work is well-suited for illustrating odd and even and provides natural discourse about mathematics.
Why is California so Important?Students investigate the differences to decide how a president gets elected using population and electoral college data. Central tendency will be used throughout the lesson.
Number RepresentationsOctober 10th is Powers of Ten 10 Day! In this lesson, Number Representations, students are asked to interpret a numeral given in a base other than 10 as a sum of multiples of powers of that base, b.
See It, Move it, Grasp It: Math with Virtual Manipulatives (Pre K-2)Help students learn to visualize and talk about similarities and differences. This lesson integrates poetry with geometry for a great community building activity.
Create an Address Number (3-5)Students will find a three-digit address for a building according to certain rules. Through guidance and working together, students will discover that making a list is more efficient than random guessing.
Exploring TransformationsStudents will explore properties of transformations to discover patterns through generalizations, and developing rules.
Creativity and Storytelling in Mathematics Lessons September 25th is Math Story Telling Day! In this webinar, educators explore how storytelling and real-life applications can make the content more accessible and engaging, and how creativity and problem-solving can show students the great power and surprising beauty of mathematics.
Shapes and Poetry (Pre K-2)Help students learn to visualize and talk about similarities and differences. This lesson integrates poetry with geometry for a great community building activity.
First Names First (3-5)Students will get to know each other through collecting and classifying the number of vowels in first names. They will create graphs for this purpose. Also gives an opportunity for discussion of cultural names.
Elections: Picking a WinnerStudents will investigate the role of math in the presidential election process with Electoral College using multiple probability counting methods to determine the winner.
Mix it Up In Mix it Up, students will estimate percent concentration in mixes and then they will develop a strategy for final calculations. Mathematics is better when done together and there are many opportunities for collaboration in this hands on lesson!
Concentration (Pre K-2)Individually or against a friend, students match whole numbers, shapes, fractions, or multiplication facts to equivalent representations.
Eating Grapes (3-5)In this problem, students will discover a rule for a pattern. Student may use examples until they are able to generalize to any case.
Finding the BalanceUsing tools that can be found around the home, students construct a two-pan balance and discover relationships between the length of the arm of a fulcrum and the mass of objects.
Growth Rate Use height vs. age charts to approximate rates of change at single points on a non-linear graph.
See it, Move it, Grasp it: Math with Virtual Manipulatives (Pre K-2)
Children create and describe designs using various pattern blocks. This is an open ended task that is fun for all ages!
By constructing a model of an octagon that transforms into a pinwheel, students realize that many interesting geometric shapes occur that can be explored. Print or replicate the materials for this activty, or try using virtual manipulatives!
High School (9-12)
Moving one chip at a time, and alternating colors, challenge your students to exchange the red chips for the blue chips in only 22 moves.
Pattern Block Designs
If you wanted to build this design out of totally different blocks, what pattern blocks could you use?
Pattern Block Fractions
Can you find another way to use fraction pattern blocks and combine them to make one whole?
Middle School (6-8)
In Paving Stones students are asked to find students are asked to find how many stones Kathy needed to buy to pave an area in her yard.
High School (9-12)
The Rolling Triangle
Equilateral triangle ABC is sitting on the top of square DEFG so that AC is coincident with DE. The triangle and square both have edges one unit in length.
Children focus on finding sums while practicing the secondary skills of subitizing and explaining their thinking. Grab some dominoes and a hundreds chart to get started!
Darlene's Dart Board
Can your students hit the target? Students will apply reasoning to find combinations of targets that total exactly 100 points.
A Day at the Fairs
The problem this week is an old one, in fact over 500 years old. It goes back to the days in Europe when fairs were common in many cities, and merchants would travel from city to city, selling their various goods and buying other items they desired. A merchant went selling and buying at three city fairs. Did he make a profit or take a loss?
Four Men and Some Money
This short but sweet Problem of the Week asks students to use algebraic reasoning to divide $100 among four people.
Counting on and Counting Back
Help your students visualize the idea of "one more" and "one less" with this interactive lesson. All you need is a counting book and some counting cubes to get started!
Students evaluate clues to arrive at correct outcome of game: scores of two teams.
The Factor Game
Students will love The Factor Game! It engages students in a friendly contest in which winning strategies involve distinguishing between numbers with many factors and numbers with few factors. Students are then guided through an analysis of game strategies and introduced to the definitions of prime and composite numbers.
The 100 Block Walk for Math
To celebrate the 100th Mathematical Lens column, Ron Lancaster and Bridget Bentele walked 100 blocks through Manhattan, photographing and documenting the mathematics they encountered along the way.
A Picture is Worth 100 Math Ideas
Get ready to celebrate 100 with this technology infused mathematics activity. Students take the lead and photograph objects of varying amounts, increasing their understanding of place value and precision of language along the way.
This task asks students to apply the knowledge of divisors, dividends and remainders to solve a real world task. Students must form questions that will allow them to solve through productive struggle.
If You Like Popcorn, Which One Would You Buy?
This is a great math game for probability! Students love playing this game. You can have great discussions with students about whether or not they want to keep playing or bow out.
All Around the World
This 100-themed Problem of the Week leads to a result that may surprise you and your students.
Counting Back and Counting On
The Concrete, Representational, and abstract intersect in this hands-on lesson while also integrating literature and musical connections.
Every Breath You Take
Students estimate the number of breaths they take, then perform an experiment to find the actual amounts.
Middle School (6-8)
The Game of SKUNK
High School (9-12)
Axonometry: Applying Complex Numbers to Art
Axonometry is an Illumination that has students discover relationships between complex numbers and graphing. Students make connections between algebraic and graphical representations of a complex number.