Pennsylvania Department of Education
Volume of Regular and Irregular Objects
Fifth graders examine patterns and relate to equations to solve math problems. In this patterns lesson, 5th graders diagram, graph, use models and use tables to solve equations for real world problems.
Curated OER
Symmetry of the Addition Table
Help your class discover the commutative property of addition with this exploration of the addition table. By folding and coloring the table, a symmetry is found that directs students to an understanding of this crucial mathematical...
Curated OER
Chairs Around the Table
Youngsters become flexible problem solvers with this challenging lesson. If there are 24 square tables in a restaurant, how many customers can be seated at one time? They can use manipulatives or draw pictures to help them find the...
Shodor Education Foundation
Cross Sections
Use this activity on cross-sections of three-dimensional shapes in your math class to work on algebra or geometry Common Core standards. The lesson includes a list of relevent terminology, and a step-by-step process to illustrate the...
Hawaiʻi State Department of Education
Ostinato
Quarter notes, eighth notes, and rests; it's time to read rhythmic patterns in music. The class plays ostinatos as they practice identifying rhythmic patterns. They then listen to Mannheim Steamroller as they draw geometric patterns that...
Curated OER
Attributes and Patterns with Buttons
Learners work with attribute buttons in order to sort, create, and analyze patterns. Students practice identifying patterns and verbalizing the sorting rules and patterns they used. Sample assessments and rubric are provided.
Curated OER
Converge or Diverge?
Students prepare for the calculus concepts of limits by examining sequences that converge and diverge. By using an Excel program that generates sequences, students manipulate the starting number, multiplier and add-on values, and examine...
Curated OER
Complete The Pattern
Students are introduced to various geometric and numeric patterns. In groups, they work together to determine the next object or number in the pattern. They record their answers on a worksheet and create their own pattern to give to a...
Curated OER
Extending Geometric and Numeric Patterns
Students study patterns. They construct growing patterns using pattern blocks and isosceles right triangles. They verbally describe the patterns and state the rule that describes the relationship involving the number of pattern blocks...
Curated OER
Patterns That Grow
Students investigate growing patterns. In this additive patterns lesson, students analyze the core of growing patterns. Students extend additive patterns based on the core.
Curated OER
Linear Patterns in Data
Eighth graders extend their learning of graphing linear equations and are introduced to connecting patterns in tables and graphs to represent algebraic representations. They then determine patterns and extrapolate information from these...
Curated OER
Caterpillar Connections
Third graders investigate numerical and geometric patterns and express them in words or numbers. In this algebraic reasoning activity, 3rd graders analyze the structure of the pattern and how it changes or grows, organize...
Inside Mathematics
Number Towers
Number towers use addition or multiplication to ensure each level is equal. While this is common in factoring, it is often not used with algebraic equations. Solving these six questions relies on problem solving skills and being able to...
Pennsylvania Department of Education
Extending Pattern Understandings
Students use shapes and manipulatives to demonstrate patterns. In this patterns lesson plan, students also break up patterns to identify a pattern unit.
Curated OER
Pattern Blocks to Understand Fractions
Students use pattern blocks to help them complete fraction problems. In this fraction lesson plan, students complete problems on worksheets provided.
Curated OER
100 Stamps for 100 Days
Students recognize similarities and generalize patterns. In this math and technology lesson plan, students develop an understanding of number patterning by grouping stamps and counting by 10s.
Curated OER
Seven Sequences and Series Activities
In this sequences and series worksheet, students complete seven activities covering arithmetic sequences, geometric sequences, and series. Fully worked out examples, formulas, and explanations are included.
Curated OER
Connecting Formulas Related to Geometric Figures
Students 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.
Curated OER
Pascal's Triangle
Learners explore the concept of Pascal's Triangle. In this Pascal's Triangle lesson, students use an applet called 'Coloring Multiples' to explore Pascal's Triangle. Learners develop patterns starting with various numbers in Pascal's...
CK-12 Foundation
CK-12 Middle School Math Concepts - Grade 6
Twelve chapters cover a multitude of math concepts found in the Common Core standards for sixth grade. Each title provides a brief explanation of what you will find inside the chapter—concepts from which you can click on and learn more...
Inside Mathematics
Two Solutions
Many problems in life have more than one possible solution, and the same is true for advanced mathematics. Scholars solve seven problems that all have at least two solutions. Then three higher-level thinking questions challenge them to...
Curated OER
Number Patterns
First graders use manipulatives to complete and extend patterns. In this patterns lesson, 1st graders complete a pattern with a missing element, extend a pattern, and sort objects by characteristics.
Curated OER
Exploring Infinite Series through Baravelle Spirals
Students are introduced to the concept of convergent infinite series using a recursive geometric construction. They explore the concept of a convergent infinite series using partial sums. Students use formal calculations, visualizations,...
Curated OER
Tiling Tessellations
Students explore tessellations. In this shapes and geometry lesson, students describe the attributes of many of the shapes displayed on an Elmo. Students create examples of tessellations using pattern blocks.