Math Stars
Math Stars: a Problem-Solving Newsletter Grade 8
You've just hit the jackpot of integrating math problems and riddles with this jumbo-sized resource! Written as a newsletter, scroll through 35 pages of puzzles and quality problems to engage and encourage your learners to inquire and...
Illustrative Mathematics
The Sign of Solutions
Positive or negative, zero or no solution, are all possibilities for the solution of a linear equation. Here the resource gives examples of linear equations in one variable and their type of solutions. The resource comes with commentary...
Illustrative Mathematics
Writing Expressions
Practice writing algebraic expressions from written phrases. The objective is to consider two seemingly similar phrases, write them as algebraic expressions, and then simplify using the order of operations. Learners are challenged to...
EngageNY
Word Problems Leading to Rational Equations
Show learners how to apply rational equations to the real world. Learners solve problems such as those involving averages and dilution. They write equations to model the situation and then solve them to answer the question — great...
Curated OER
Deciphering Word Problems in Order to Write Equations
Help young mathematicians crack the code of word problems with this three-lesson series on problem solving. Walking students step-by-step through the process of identifying key information, creating algebraic equations, and finally...
Charleston School District
Estimating Values of Expressions
You can't evaluate an irrational root expression without a calculator—or can you? Scholars estimate the value of roots within an expression to approximate the value of the expression. Expressions include a mix of square roots and whole...
Curated OER
Hen and a Half, Variable: Rational Expressions
Looking for a fun warm-up problem while studying rational expressions? Students write a rational expression to represent the number of eggs that a hen can lay. This is a multiple choice question complete with a worked out solution.
EngageNY
Classification of Solutions
Is there one, none, or more? Through discussion or activity, scholars find the properties of an equation that will determine the number of solutions. They then use the properties discovered to figure out the number of solutions for a...
Concord Consortium
Systematic Solution II
Up the difficulty level by solving a system of equations with variable coefficients. Young scholars devise a plan to solve for x and y in terms of a and b. They represent their solutions as expressions and explain their process and the...
EngageNY
Solutions of a Linear Equation
Use the distributive property to solve equations. The sixth lesson in a 33-part series has scholars solve equations that need to be transformed into simpler equations first. Class members apply the distributive property to the equations...
National Institute of Open Schooling
Solutions
Aqua regia, or royal water in Latin, is a solvent that can dissolve solid gold and platinum into a solution. Activity nine in a series of 36 allows classes to learn, through readings and answering questions, what a solution is and the...
National Security Agency
Equations and Expressions
Learners demonstrate their knowledge pictorially, concretely, and abstractly in this unit meant to last three hours over three days. Using hands-on activities, manipulatives, real-world applications, and problem solving, learners write...
EngageNY
Adding and Subtracting Rational Expressions
There's a fine line between a numerator and a denominator! Learners find common denominators in order to add and subtract rational expressions. Examples include addition, subtraction, and complex fractions.
Missouri Department of Elementary
My Problem…Your Problem…Our Problem
Encourage sixth graders to take responsibility for their actions and become a problem solver. Pupils discuss new problems faced in sixth grade then identify ones that involve other people. A worksheet guides their practice in conflict...
Virginia Department of Education
Solution Concentrations
What happens when you combine 6.022 times 10 to the 23 piles of dirt into one? You make a mountain out of a mole hill. Scholars use dehydration to obtain percent composition and then calculate the molarity of the original solution.
EngageNY
Multi-Step Problems—All Operations
Harness the power of algebra to solve problems. Young mathematicians learn to work out multi-step problems by applying algebraic techniques, such as solving equations and proportions. They use tape diagrams to model the problem to finish...
BW Walch
Creating Linear Inequalities in One Variable
Just when a young mathematician starts to feel comfortable turning word problems into linear equations, shake things up and throw inequalities in the mix. This excellent, instructive presentation takes the steps for solving an equality...
Lane Community College
Review Sheets: Beginning Algebra
This jumbo worksheet contains everything you need to get through Pre-Algebra. Begin with simple expressions, and end with linear functions and polygons. There are multiple problems for each topic to make sure those skills are set.
Inside Mathematics
Expressions
Strive to think outside of the quadrilateral parallelogram. Worksheet includes two problems applying prior knowledge of area and perimeter to parallelograms and trapezoids. The focus is on finding and utilizing the proper formula and...
Curated OER
Simplifying Complex Rational Expressions
Here is a practice worksheet that contains 16 problems on simplifying complex fractions. The problems start out basic and gradually be come more complex. There is an example included with two different solution methods shown.
Curated OER
English Expressions Quiz: Online
An online worksheet provides opportunities to assess comprehension of 10 common adages like "A bird in the hand is worth two in the bush" or "Variety is the spice of life." Learners complete a multiple choice quiz (and can check their...
Curated OER
Independent Practice: Expressions and Operations
In this algebra worksheet, learners read an algebraic expression and determine which of the options is the correct solution set for the expression. There are 5 problems on this worksheet.
Illustrative Mathematics
An Integer Identity
Challenge algebra learners to use the difference of cubes to solve this problem. Once your charges have taken out the factor (a - b), combined the like terms and set them equal to zero, the problem becomes a factorable quadratic...
Illustrative Mathematics
Gotham City Taxis
Taxi! Have your travelers figure out how far they can go in a taxi for $10.00. They must account for the mileage rate and tip in their calculation. They can set up a table or make an equation to solve for the exact mileage they can...