Waterloo Mathematics
Grade 7 Patterning and Algebra: Algebraic Expressions
Classmates solve 18 different problems that are mostly word problems that apply algebraic expressions. They draw different combinations of masses on a scale that would balance. They also simplify expressions and solve for x in a number...
Curated OER
Fibonacci Number Patterns
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...
Curated OER
Wallflowers: Adding and Multiplying Integers
Learners solve word problems in which they add, subtract, multiply, and/or divide integers, identify rules and patterns for multiplying and dividing integers, create scenarios that represent each expression, and evaluate expressions.
Virginia Department of Education
Integers: Addition and Subtraction
Young mathematicians construct their own understanding of integers with an inquiry-based math lesson plan. Using colored chips to represent positive and negative numbers, children model a series of addition and subtraction problems as...
Curated OER
Using Models to Add Integers II
In this adding integers activity, students solve 20 short answer problems. Students use integer chips to model adding positive and negative integers. Students remove zero pairs to get the solution.
Education Development Center
Consecutive Sums
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.
Curated OER
Interesting Integers
Students add and subtract integers. In this algebra lesson plan, students analyze integers using hands on manipulative. They solve problems of addition and subtractions using their signs correctly. They play a game of cards to reinforce...
Alabama Learning Exchange
Pattern and Practice
Young scholars learn how to make patterns. Students first display their prior knowledge of patterns before delving into the lesson. They complete a worksheet and participate in a web-based class activity. They work in cooperative groups...
Concord Consortium
Last Digit Arithmetic
Mathematics involves a study of patterns. The exploratory lesson has learners consider the addition pattern in different sets of numbers. Each set has a different pattern that pupils describe mathematically. The patterns involve both...
Curated OER
What's Next?
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.
Curated OER
Add Integers 1
In this math worksheet, students are given 25 problems involving negative numbers, positive numbers, variables, patterns and story problems.
Virginia Department of Education
Integers: Multiplication and Division
Rules are meant to be broken ... but not integer multiplication and division rules. Learners use chips to model integer multiplication and division. The results of the activity help them develop integer rules for these operations.
Curated OER
Adding Integers with Counters
Students solve integers using addition. In this algebra activity, students add integers using counters. They define and label patterns created by integer operations.
Concord Consortium
Integer Solutions
Experiment with integer relationships. Young scholars consider integers that have a sum of 10. They begin with two integers, then three, four, and more. As they consider each situation, they discover patterns in the possible solutions.
EngageNY
Numbers Raised to the Zeroth Power
What in the world is the zeroth power? Examine the patterns of exponents as they apply to the zeroth power. Scholars apply the zero property to simple exponential expressions in this fourth lesson in a series of 15. The examples include...
Curated OER
Two-Digit Numbers: 10 More or 10 Less
Complete the sequence by adding or subtracting 10! Although the instructions are slightly vague, the idea is that learners are given a starting number and fill in four sequential numbers by either adding or subtracting 10. The first four...
Teach Engineering
Discovering Phi: The Golden Ratio
Fe, phi, fo, fum. This activity leads pairs to find the ratio of consecutive terms of the Fibonacci sequence. The pairs find that the Fibonacci sequence can be found in many places. A discussion with the class shows that the ratios found...
Curated OER
Dividing with Fractions
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.
Curated OER
Multiplying and Dividing Integers/Relay Race
Give your class a list of multiplication and division sentences that contain both positive and negative integers. Have them analyze them to see if they can discover the pattern with the signs. From these patterns, help them develop the...
Concord Consortium
Boards I
Learners create patterns in a table to mimic the function of an electronic spreadsheet. The result is a table that creates an addition table for decimals in intervals of one-tenth. While creating the pattern, pupils must thoroughly...
Curated OER
Unit 15 Negative Numbers
In this negative numbers worksheet, middle schoolers add and subtract positive and negative numbers. They find the terms in a sequence, complete multiplication numbers, and find the missing numbers in given multiplication problems. ...
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...
EngageNY
The Power of Algebra—Finding Primes
Banks are responsible for keeping our financial information safe. Mathematics is what allows them to do just that! Pupils learn the math behind the cryptography that banks rely on. Using polynomial identities, learners reproduce the...
Curated OER
Multiplicative Sequences
Young scholars investigate the concepts related to the practice of multiplication facts. They look for number patterns in order to create an algorithm in order to find the correct sequencing of number patterning. The solutions are then...