Curated OER
Investigation - Patterns
Students create a pattern out of pattern blocks. For this math lesson, students work with a partner to investigate the pattern they have. Within that group, students continue to design the pattern by adding the next two pieces....
Curated OER
Getting it Right! An Investigation of the Pythagorean Theorem
In order to learn about the Pythagorean Theorem, young mathematicians investigate relations and patterns between different sides of a right triangle to look for possible relations among the squared sides. Once they have established the...
Curated OER
Problem Solving Using Pattern Blocks
Students use pattern blocks to create a figure that is described to them and establish a pattern based on the description of the geometric figure. In this pattern blocks lesson plan, students fill out shape and fraction worksheets.
EngageNY
Even and Odd Numbers
Even or not, here I come. Groups investigate the parity of products and sums of whole numbers in the 17th lesson in a series of 21. Using dots to represent numbers, they develop a pattern for the products of two even numbers; two odd...
Curated OER
Patterns and Sequences
Ninth graders examine sequential number patterns and the Fibonacci sequence. Given number patterns, they determine the next number in a sequence. Students develop their own number patterns and exchange them with another to be solved.
Illustrative Mathematics
Complex number patterns
Start off with the definition of the imaginary number i, then have your class practice simplifying expressions involving powers of i and look for patterns. See how the cyclic nature of powers of i translate to sums of powers of i.
Curated OER
What Comes Next?
Students explore patterns. For this what comes next lesson, students explore patterns and determine the next item in the pattern. They compare and contrast items in a sequence. Students justify their reasoning.
Inside Mathematics
Conference Tables
Pupils analyze a pattern of conference tables to determine the number of tables needed and the number of people that can be seated for a given size. Individuals develop general formulas for the two growing number patterns and use them to...
EngageNY
Unknown Angle Proofs—Proofs with Constructions
Provide your emerging mathematicians with the tools to learn as they incorporate auxiliary lines to solve unknown angle proofs in this continuing segment. They decipher information from a diagram to uncover the missing pieces and...
Curated OER
Patterns and Functions
Students investigate properties of perimeter and area. In this middle school mathematics activity, students explore patterns in a problem solving context. Students model and solve problems using various representations for the data as...
Curated OER
Perimeters, Patterns, and Conjectures
Students discover patterns and write conjectures relating to perimeters and polygons. Working in cooperative learning groups, they use manipulatives and graphic organizers to solve problems then answer a series of questions in which they...
Concord Consortium
Heights and Weights
Height is dependent on weight—or is it the other way around? Given data from a physicians handbook, individuals compare the height and weight of males and females at different areas. They calculate differences and ratios to assist with...
Curated OER
Get Your Numbers in Shape - TI-83
High Schoolers use the TI-83 calculator to produce a sequence, explore patterns and find a linear or quadratic equation for a given pattern. They use inductive reasoning to make conjectures about patterns. They find the Y-value of a...
Curated OER
The Power of Algebra
First graders explore patterns. They look for patterns in number problems and use algebra as a means of solving general problems. Students devise a strategy to solve the number problem.
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 biconditional...
National Security Agency
Multiple Representations of Limits
After an introductory activity to demonstrate the theory of a limit, additional activities approach a limit from graphical, numerical, and algebraic methods. The activity looks at the multiple ways of understanding and evaluating a limit.
Curated OER
Equal Differences Over Equal Intervals 1
Learners explore linear functions concretely using tables of values in a cooperative task. The concept of the values of linear functions changing by equal differences over equal intervals of one is emphasized. Learners will discover the...
Curated OER
Discovery
Learners explore patterns in number problems. They devise a strategy to solve a number problem. Students estimate and calculate answers, making efficient use of a calculator, where appropriate, as part of solving a problem. They...
Curated OER
Odd and even
Learners play a game requiring them to select groups of odd or even numbers of objects with the aim of reaching a total which is an odd number. They carry out a more formal investigation of patterns in additions of odd and even numbers.
Curated OER
What Is It?
You have to love lessons that foster problem solving strategies. This one has upper graders devise and employ their own strategy to solve given problems after they have used classics like guess/check, substitution, make a table, and look...
Mathematics Vision Project
Geometric Figures
Logical thinking is at the forefront of this jam-packed lesson, with young mathematicians not only investigating geometric concepts but also how they "know what they know". Through each activity and worksheet, learners wrestle with...
Curated OER
Shedding Light on the Weather with Relative Humidity
Learners study weather using a graphing calculator in this lesson. They collect data for temperature and relative humidity for every hour over a day from the newspaper, then place the data in their handheld calculator and examine it for...
Curated OER
Rotations in the Plane
Pupils investigate the properties of a rotation as they use technology (Cabri, Jr.) to observe the relationship between the pre-image and the image formed by the rotation. The lesson provides ample opportunity for learners to conjecture...
Curated OER
Inequalities
In this inequalities worksheet, 10th graders solve and complete 23 various types of problems. First, they find the area of an inscribed square in a circle shown. Then, students find the total area of the inscribed polygon and deduce...