Virginia Department of Education
Perfecting Squares
Here's a perfect way to introduce perfect squares. Individuals color in the diagonals of squares and record observations about patterns. They connect their diagrams to exponents of two and perfect squares.
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Patterns, Functions & Algebra
Learners participate in numerous activities and games. In pairs, they play card games to find relationships between a random set of playing cards. After writing samples of Dear Abby letters concerning math problems, students create a...
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Finding Patterns in Tiles
Students explore perimeter and area of rectangles. In this rectangular lesson, students use tiles to discover the formulas for perimeter and area. Students solve for area.
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Letter Patterns
Second graders look at the number patterns we get from letters and numbers. They keep track of the numbers involved by drawing up a table of values. It's important here to look for the pattern and see how the number of tiles changes from...
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How using number patterns help us add or subtract
Second graders use a number line to understand multiples. In this number line instructional activity, 2nd graders use a floor size number line and calculate problems with multiples. Students complete a worksheet with multiples.
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Mathematics: Technology and Connections
Sixth graders interpret and replicate patterns. For this patterns lesson, 6th graders are given an item with a definite pattern which they must replicate using a calculator or computer and then justify how they relate. Students...
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The Snack Bar
Sixth graders complete a purchase order. In this ratios and patterns lesson, 6th graders work in groups to complete a purchase order for a grand opening of the school snack bar. Students use rations to figure out the need and quantity...
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Linear Functions
Fifth graders investigate the concept of a function in relationship to how it is used. The concept is essential for the future study of Algebra. They apply the use of patterns with its relationship to functions.
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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...
Willow Tree
Linear Relationships
There's just something special about lines in algebra. Introduce your classes to linear equations by analyzing the linear relationship. Young mathematicians use input/output pairs to determine the slope and the slope-intercept formula to...
Teach Engineering
Discovering Relationships Between Side Length and Area
Consider the relationship between side length and area as an input-output function. Scholars create input-output tables for the area of squares to determine an equation in the first installment of a three-part unit. Ditto for the area of...
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Graphing Cubic, Square Root, and Cube Root Functions
Is there a relationship between powers and roots? Here is a instructional activity that asks individuals to examine the graphical relationship. Pupils create a table of values and then graph a square root and quadratic equation. They...
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Finding and Creating Addition Patterns
Third graders listen as teacher snaps her fingers in a certain pattern and then join in as they become familiar with the pattern and then repeating it. They observe a patterns of shapes and repeat after the teacher has explained it....
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Number Patterns
First graders use manipulatives to complete and extend patterns. In this patterns lesson plan, 1st graders complete a pattern with a missing element, extend a pattern, and sort objects by characteristics.
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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...
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Patterns, Relations And Functions
Fourth graders observe patterns and determine a mathematical function that creates the pattern. Through a demonstration by the teacher, they observe strategies such as multiplication, division, addition, and subtraction to use when...
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Rescue the Pattern
Students describe a wide variety of patterns. They extend a wide variety of patterns. Students write rules for a wide variety of patterns. Students represent, analyze, and generalize a variety of patterns with tables, graphs, and words.
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Functions and Graphs -- Pattern Detection #1
Young scholars discuss the job of an archaeologist by determining how people have used their environment. Using a graph, they analyze the patterns and functions of Native Americans in Arizona using maize. They work together to answer...
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What's My Function?
Fifth graders utilize input/output tables to help them solve algebraic equations. They incorporate patterns, number sequences and relations to represent and analyze mathematical problems and number relationships using algebraic symbols.
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Pattern Matching
First graders examine how to determine the lines of symmetry in pictures, shapes, and patterns by completing the lessons in this unit. They make patterns that show a line of symmetry and describe it using their own language.
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Connecting Formulas Related to Geometric Figures
Young scholars identify diagrams of quadrilaterals and circles by different names and classify the figures. They name the areas for each diagram and practice solving the formulas for each.
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Making Connections
Seventh graders relate patterns with higher math. In this 7th grade math lesson, 7th graders analyze different methods of portraying data. They relate the data to real life scenarios.
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Representing and Extending Patterns
Students explore repeating and growing patterns. In this patterns lesson, students describe patterns, explore changing patterns and match patterns. Students participate in online activities and read books that show patterns in...
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The Three Pigs
Second graders design and construct homes for the three pigs. Each of the homes is made and filled with patterns that we explore. They continue a sequential pattern and describe a rule for this.