Evaluate patterns of numbers through an engaging task. Scholars work collaboratively to determine a general rule reflecting the sum of consecutive positive integers. Multiple patterns emerge as learners explore different arrangements.

Determine equivalent methods to find sums of consecutive numbers. Learners watch a video of a computer program that finds the sum of five consecutive numbers given a starting number. Pupils hypothesize how to determine the sum without...

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...

For this secondary mathematics worksheet, students determine the number of sets of consecutive positive integers who have a sum of 100.  The one page worksheet contains one problem with the solution. 

In this word problem worksheet, student solve 32 number and consecutive integer problems.  Students use variables and algebraic reasoning to solve each problem.

For this consecutive integer worksheet, students read short word problems, write algebraic expressions, and then identify the consecutive integers described. This one-page worksheet contains ten problems.

In this sum of the numbers worksheet, students write equations to determine the sum of numbers under given situations. They use the distributive property to solve two-step algebra problems. This one-page worksheet contains ten problems.

In this integers worksheet, 9th graders solve and complete 14 different problems. First, they find a given number of consecutive integers with a given sum. Then, students determine the dimensions of a rectangle given the length and...

Help scholars translate verbal expressions into numerical expressions. The two-page document is comprised of descriptions and examples that showcase terms and phrases related to addition, subtraction, multiplication, division,...

In this word problems worksheet, students solve 20 different word problems that are related to and use algebra. First, they determine the total amount of money spent in one week given the information. Then, students determine the...

In this translation worksheet, students translate statements to number sentences. They use algebra to solve problems such as the sum of consecutive integers, or number of coins when given the total amount. This one-page worksheet...

In this consecutive numbers worksheet, students determine consecutive numbers in a sequence, solve problems using the quadratic equation, and examine coefficients. This two-page worksheet contains eight problems.

In this integers worksheet, 9th graders solve 5 different word problems that include integers. First, they determine the integers that would solve each of the given problems. Then, students determine two consecutive odd integers whose...

In this sum learning exercise, learners find four consecutive integers whose sum is 17798.  Students could approach this problems using algebraic equations or logically with guess and check.  The solution is provided.

In this algebra worksheet, learners come up with 3 consecutive integers, that when multiplied together will add up to be the total sum of the 3 numbers. There is an answer key.

In this word problem basics worksheet, students read short sentences using the given clues to determine the answers to consecutive integers. Students examine terms dealing with odd integers, even integers and sum. These answers may be...

Fibonacci is an interesting sequence that forms some unique patterns. Learners explore sequences that do not have the typical arithmetic and geometric patterns. They identify the pattern and find the next consecutive terms....

In this integers learning exercise, 7th graders solve 10 different problems that include various types of integers and graphs. First, they determine the sum of 3 consecutive integers. Then, students find the ratio between 2 areas of...

In this patterns worksheet, 11th graders identify and solve 3 different problems that include completing Fibonacci number patterns. First, they continue the pattern shown at the top to find more Fibonacci numbers. Then, students...

Learners solve eight short answer algebra word problems. They write and solve systems of equations in two or three variables given a word problem about integers, perimeter, consecutive numbers, etc.

In this algebraic translations worksheet, 7th graders solve 10 different problems related to various algebraic translations. First, they determine the sum of two consecutive numbers. Then, students determine the rates at which two...

Students generate patterns from a structured problem, finding a rule for the general term, and expresses it in words and symbols. They then devise and use problem solving strategies to explore situations mathematically.

Scholars learn how to write number theory proofs by viewing a video reviewing techniques for proofs on divisibility, parity, and consecutive integers. They then write proofs for a handful of conjectures on a worksheet.

Like all of the Problem Solving units, this one aims to introduce students to the underlying ideas of mathematics through a problem. The problem here requires a knowledge of arithmetic and the use of some algebra. In this unit we see how...