CK-12 Foundation
Sums of Finite Arithmetic Series: Triangular Numbers
Using a slider, scholars build triangular numbers and their associated rectangles and use the geometric display to find the pattern to determine the next triangular number. They then relate that number to the area of the rectangle to...
Curated OER
Triangular Numbers Are Everywhere !
In this math worksheet, pupils observe that the triangular numbers are associated with the sums of consecutive natural numbers beginning with 1.
Curated OER
Number Patterns: Triangular Numbers
Students explore number patterns. In this number pattern lesson plan, students discover the attributes of triangular numbers as well as the number patterns associated with them as they practice sequencing 10 triangular numbers.
Curated OER
Triangular Numbers
In this triangular numbers worksheet, students create a table of triangular numbers, write a formula for the nth number, and determine the sum of any two consecutive triangular numbers. This two-page worksheet contains five problems.
Curated OER
Investigating Square and Triangle Numbers
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...
Curated OER
Add and Subtract Mixed Numbers Quiz
Use this mixed number activity to have your charges complete a set of 13 problems, adding or subtracting mixed numbers. Answers are included on page 2, a reference web site is given for additional activities.
CK-12 Foundation
Sequence of Partial Sums: Partial Sums
Have some fun building squares out of triangles. Pupils investigate the partial sums of odd numbers. Using the sum of the first four odd numbers, learners see that it can be rewritten as a sum containing a triangular number. Simplifying...
Curated OER
Number Patterns: Triangular & Square Numbers
Students explore the patterns found in triangular and square numbers. In this number pattern lesson, students complete a worksheet exploring the relationship between triangular numbers and square numbers.
Curated OER
Triangular Numbers
In this geometry worksheet, 10th graders calculate the total triangular number, which-is equal to all the dots it takes to make a triangle. There are 8 different questions asking you to find the triangular number for different triangles.
Curated OER
Deric's Blotto
Young scholars solve the handshake problem and investigate triangular numbers. In this geometry lesson, students investigate Blotto games as they apply concepts of triangles and geometric theorems.
Curated OER
Building Shapes From Numbers
Students experience how to illustrate some of the many connections between number and geometry. Through this 2-3 day focus on square numbers and triangular numbers, students make connections among mathematical topics.
Curated OER
Easy Worksheet: Special Numbers
In this special numbers instructional activity, students solve 4 short answer problems. Students find various terms in the Fibonacci sequence, triangular number sequence, and the natural numbers in Pascal's Triangle.
Curated OER
Triangular Numbers
In this triangular numbers worksheet, students fill in missing numbers in input-output charts, then complete a set of 15 additional problems, finishing patterns and filling in missing numbers.
Curated OER
Prism Investigation (2)
In this prism investigation activity, students identify the patterns and complete the table of shapes for triangular prisms, cuboid prisms, and hexagonal prisms. Students write eight short answers.
Curated OER
I Am Golden
Learners become familiar with patterns, the Fibonacci Sequence, and the Golden Ratio. They see how many places these occur. They have practical applications for using the calculator and making charts to extend patterns.
Curated OER
The Truth About Triangles and Squares
Fourth graders investigate the patterns associated with both triangular and square numbers. They use counters as manipulatives to depict the numbers as needed but focus on problem solving using mental math techniques.
Inside Mathematics
Rugs
The class braids irrational numbers, Pythagoras, and perimeter together. The mini-assessment requires scholars to use irrational numbers and the Pythagorean Theorem to find perimeters of rugs. The rugs are rectangular, triangular,...
Curated OER
Representing Patterns & Evaluating Expressions
Write algebraic expressions, determine patterns, and evaluate expressions in a real-world context. Learners engage in a series of collaborative activities to identify, model, and give variables for real-world patterns. They write...
EngageNY
Why Stay with Whole Numbers?
Domain can be a tricky topic, especially when you relate it to context, but here is a instructional activity that provides concrete examples of discrete situations and those that are continuous. It also addresses where the input values...
Curated OER
Patterns Everywhere!
Learners recognize and demonstrate the patterning of numbers and objects in our environment. They create a pattern using geometric shapes and find a missing number in a sequence.
Illustrative Mathematics
Triangular Tables
Somewhat of a puzzle, this problem gets pre-algebra preteens to write an expression representing a seating chart using triangle-shaped tables. This single task is an applicable lesson for meeting sixth grade Common Core math standards....
Bowland
Pointzero: Confined
Groups plan their escape carefully. Three three-tiered puzzles help a story character escape their situation, each involving integer sequences, transformations, and geometric constructions. The teacher resource includes...
Curated OER
Triangular Numbers
Students are introduced to the problem and brainstorm ideas for approaching the problem and keeping track of what has been done. They work in pairs and share their answers, explaining their reasoning.
Curated OER
Square and Triangular Numbers
Students use equations to represent practical situations. They solve linear equations and quadratic equations. The use of problem solving strategies is also developed.