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Illustrative Mathematics

Numbers in a Multiplication Table

For Teachers 3rd - 5th Standards
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...
Lesson Plan
Curated OER

Learning Even and Odd Numbers

For Teachers K - 1st
In this math instructional activity, young learners receive a numeral written on a paper and arrange themselves in chronological order. They illustrate skip counting by 2's, 5's, and 10's using their numerals and then complete an...
Lesson Plan
Oregon Department of Education

Building and Expanding Patterns

For Teachers 4th Standards
The generation of a number, or shape pattern, is the focus of this math instructional activity. Pupils are presented with a variety of patterns shapes, and number patterns, then use worksheets embedded in the plan to gain further...
Lesson Plan
Curated OER

Pattern Puzzles

For Teachers 1st - 2nd
A short video introduces place value in addition and subtraction. As a class, your students identify all even numbers up to one hundred and explain the pattern. They use addition strategies to fill in the missing numbers on the number grid.
Lesson Plan
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University of Colorado

Patterns and Fingerprints

For Teachers 6th - 8th Standards
Human fingerprint patterns are the result of layers of skin growing at different paces, thus causing the layers to pull on each other forming ridges. Here, groups of learners see how patterns and fingerprints assist scientists in a...
Lesson Plan
Curated OER

Patterns in Nature

For Teachers 9th - 12th
Research patterns in nature which illustrate biological and mathematical concepts. Your class will discover and explore aspects of fractals, Fibonaccis numbers, whale and butterfly migration patterns, whale identification, flower...
Lesson Plan
Curated OER

Vegetable Print Patterns

For Teachers 2nd
Create a unique print using vegetable stencils and tempera paints applied to grid like pattern formed from cut pieces of paper. Your students will choose either a warm or a cool color scheme.
Lesson Plan
Willow Tree

Patterns - Numbers, Shapes, etc.

For Students 8th - 11th Standards
Find the pattern is the name of the game! Learners examine different patterns represented by numbers, shapes, and words. They must describe the pattern, predict the result in a given position, and find an equation that...
Lesson Plan
Curated OER

Number Patterns

For Teachers 4th - 6th
An easy way to introduce numerical patterns, these activities can be made simpler by using addition, or more difficult with division, fractions, and percentages. Children examine patterns and determine the missing number in the sequence....
Lesson Plan
Curated OER

Investigation - Patterns/Functions

For Teachers Pre-K - K
Students explore one-to-one correspondence. Through activities, students examine rhythm and patterns. From the patterns discovered, students create a visual representation of the pattern with blocks.
Lesson Plan
Curated OER

Patterns

For Teachers 2nd - 4th
Explore early algebra by participating in a pattern identification activity using a random assortment of different household materials. The class creates, completes, and analyzes different patterns with the help of leggos, buttons,...
Lesson Plan
PBS

Patterns to the Rescue!

For Teachers 3rd - 5th Standards
Track down the Cyberchase episode that this lesson is associated with. Using a worksheet that is embedded in the plan, learners must find the next two numbers and shapes (a double pattern). Once these have been discovered, pupils try...
Lesson Plan
Curated OER

Modeling Patterns and Cycles in Our Lives

For Teachers 3rd - 4th
Students explore how building a model can help them better understand the natural world. They identify common cycles or patterns in nature as well as examples of models in the classroom. After discussion, they choose a pattern or cycle...
Lesson Plan
Curated OER

Investigating Square and Triangle Numbers

For Teachers 5th
Fifth graders build increasingly larger squares and triangles using pattern blocks. They record the growth patterns on a chart and look for corresponding numerical patterns. Students describe the patterns they find and use them to...
Lesson Plan
Curated OER

Counting, Properties of Numbers, and Reasoning about Numbers

For Teachers K - 3rd
Five days of lessons develop number sense and counting patterns, including odd and even numbers, 5s and 10s, doubles, and ways to make 10. Each session opens with fun finger play to reinforce counting and reasoning about numbers. Various...
Lesson Plan
Curated OER

Number Patterns in Everyday Life

For Teachers 4th - 5th
Examine scenarios involving number patterns. Learners complete a series of activities, including working with Pascal's triangle ando completing chart activities based on different pricing for pizza toppings. An included extension has...
Lesson Plan
AGradeMath.com

Working With the 10,000 Chart

For Teachers 3rd - 5th Standards
Calculate the answers to problems that are multiples of ten to help your class discern patterns in the zeros and learn to sequence. Each person receives a 10,000 chart, but s/he must discover that on their own through estimation and...
Lesson Plan
Curated OER

Patterns to the Rescue

For Teachers 3rd - 5th
Students watch "Cyberchase: The Poddleville Case" and analyze patterns. They complete a patterns assignment worksheet and then they make up patterns using numbers, shapes or colors, for their classmates to solve. They use patterns to...
Lesson Plan
Curated OER

Patterns Patterns Everywhere

For Teachers 3rd - 5th Standards
Upper graders work with number patterns. In this pattern instructional activity, learners recognize and continue number patterns and find the rules.  They do some as a class and complete an assessment. 
Lesson Plan
MENSA Education & Research Foundation

Fabulous Fibonacci and His Nifty Numbers

For Teachers 3rd - 5th Standards
Fibonacci numbers are not only found in the classroom but also in nature. Explore the concept of Fibonacci numbers through a series of lessons designed to gain insight into the mathematical reasoning behind the number pattern, and spark...
Lesson Plan
Computer Science Unplugged

Count the Dots – Binary Numbers

For Teachers 4th - 12th
Did you know you can send a message using only zeroes and ones? This interactive resource presents an introduction to binary numbers. Through code cards, pupils learn to convert binary numbers to decimal numbers.
Lesson Plan
Virginia Department of Education

Complex Numbers

For Teachers 10th - 12th
Build on your class' understanding of real numbers as they begin working with complex numbers. Pupils begin with an exploration of i and the patterns in the powers of i. After developing a definition for i, they...
Lesson Plan
Mathematics Assessment Project

Generalizing Patterns: The Difference of Two Squares

For Teachers 8th Standards
After completing an assessment task where they express numbers as the difference of squares (i.e., 9 = 5^2 – 4^2), class members note any patterns that they see in the problems.
Lesson Plan
Code.org

Binary Numbers

For Teachers 9th - 12th
All you need is a zero and a one. Build pupils' understanding of binary values and number systems to gain familiarity with binary numbers. Using a hands-on activity and technology, scholars learn how the binary system works and its...