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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...
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Lesson Plan
California Mathematics Project

Viral Marketing

For Students 9th - 12th Standards
Math's gone viral—in the form of an exponential function! The activity uses an exponential function to model the growth of a marketing strategy. Learners create a table of values to observe the pattern in the numbers and then model the...
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Lesson Plan
Curated OER

Math On Your Lap Quilt

For Teachers 2nd
Get creative juices flowing when you allow groups to figure out a procedure for how to find the area of squares and rectangles. They may use the individual patchwork blocks, or they may design one using the Design Template.
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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...
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Lesson Plan
Curated OER

It's Not All Greek to Me

For Teachers 3rd - 10th
Learners find out the meaning for prefixes used in math vocabulary. By dissecting words used in everyday math, they figure out what the prefix indicates and what the word means. A variety of well-organized worksheets and activities...
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Lesson Plan
Virginia Department of Education

Relationships Round Robin

For Teachers 7th
Mathematics is all about patterns. Young mathematicians analyze geometric patterns to write algebraic expressions. They use the expressions to predict future stages of the patterns.
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Lesson Plan
Curated OER

Who's On First?

For Teachers 4th - 6th
Have you ever considered why the number 10 is so important to us? That's what learners do here. They explore patterns formed by powers of ten and by decimals, convert units of measure within the metric system, and express these in the...
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Lesson Plan
Curated OER

Matchstick Patterns

For Teachers 3rd
Third graders investigate patterns made using matchsticks and tiles, so it involves them in active studying. The relation between the number of the term of a pattern and the number of matchsticks (tiles) that that tem has is explored...
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Lesson Plan
Curated OER

Let's Explore Patterns

For Teachers 2nd
Second graders define the word pattern and other related vocabulary. They create a pattern independently. Students recognize and extend patterns. They explain how repeated patterns are made. Students explore several patterns on a...
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Lesson Plan
Curated OER

Patterns, Relations, and Functions

For Teachers 6th - 9th
Learners investigate the patterns of different data sets of numbers. They use critical thinking skills in order to find the missing numbers in any given set. This instructional activity helps to develop the skill of number sense.
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Lesson Plan
Curated OER

Leaf Patterns

For Teachers 1st
First graders explore the existence of patterns in everyday items. In this science and math integrated lesson, 1st graders match leaves with a name word card and organize them into four patterns. This lesson includes a reading of And the...
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Worksheet
Curated OER

Writing Equations from Patterns

For Students 8th - 12th
In this writing equations worksheet, students examine 6 tables and 2 relations looking for a pattern. Students then use the patterns to write 8 equations.
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Lesson Plan
Curated OER

Pattern Makers

For Teachers 1st - 2nd
Students are introduced to the notion of a repeating pattern. This is done by a number of means including the use of everyday objects. They are encouraged to create, describe and continue patterns.
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Lesson Plan
Curated OER

Problem Solving Using Pattern Blocks

For Teachers 3rd - 8th
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.
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Lesson Plan
Curated OER

Tile Patterns I: Octagons and Squares

For Teachers 7th - 9th Standards
This can be used as a critical thinking exercise in congruence or as a teaching tool when first introducing the concept. Four octagons are arranged in such a way that a square is formed in the middle. With this information, geometry...
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Assessment
Inside Mathematics

Conference Tables

For Teachers 9th - 12th Standards
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...
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Lesson Plan
EngageNY

Nonlinear Models in a Data Context

For Teachers 8th Standards
How well does your garden grow? Model the growth of dahlias with nonlinear functions. In the lesson, scholars build on their understanding of mathematical models with nonlinear models. They look at dahlias growing in compost and...
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Lesson Plan
Curated OER

What's Next?

For Teachers 5th - 7th
Teach the class how to continue a given number pattern, and have them state a rule to explain their answer. Arithmetic sequences and related worksheets are used to reinforce the concept of numerical patterns using the nthterm.
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Lesson Plan
Curated OER

Shedding Light on the Weather with Relative Humidity

For Teachers 6th - 8th Standards
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...
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Lesson Plan
Curated OER

Grade 3: Palindrome Patterns

For Teachers 3rd
Third graders use addition to create numbers that are palindromes and organize their results to look for patterns. They make generalizations from patterns and practice reading large numbers and addition with regrouping.
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Lesson Plan
Curated OER

Dividing with Fractions

For Teachers 5th - 6th
Use paper strips or models to relate division problems to division of fraction problems. Since the materials can be broken up, it helps them to show how they can complete repeated subtraction with fractions and not just whole numbers.
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Worksheet
Curated OER

Relate Counting to Addition and Subtraction

For Students K - 2nd
Use patterns to practice basic addition; pupils count by two, starting from eight and counting on to 20. They record the five numbers missing from the sequence. Below, the worksheet walks learners through the process they use to count by...
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Lesson Plan
Curated OER

Arts Impact and Math

For Teachers 3rd
Third graders incorporate math into dancing. In this algebra lesson, 3rd graders identify different shapes and patterns using dance movements. They relate the different creations to polygons as they incorporate the use of stretchy bands...
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Lesson Plan
Pyro Innovations

Get into Shape

For Teachers K - 1st Standards
Shapes are so fun! Little ones explore, identify, and create shapes using tangrams or pattern blocks. The activity is intended to stimulate critical thinking while engaging learners through play and shape identification. Each child will...

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