Willow Tree
Problem Solving
School subjects connect when your young scholars use math to edit English. Math allows you to convert an entire paragraph into a simple equation or inequality. Examples encourage learners to write expressions, equations, and inequalities...
University of Utah
Analyze and Solve Linear Equations
Solve any issues you have with solving linear equations. Learners solve linear equations in one variable, starting with two-step equations, in the first chapter of a 10-part eighth-grade workbook series. They then progress to equations...
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...
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...
Curated OER
Practice: Word Problems
Congratulations, you've just hit the word problem jackpot! Covering an incredible range of topics from integers and fractions, to percents, geometry, and much more, this collection of worksheets will keep young mathematicians busy...
Kuta Software
Variable and Verbal Expressions
Your learners will practice their math translations with this worksheet that focuses on algebraic expressions. See if they can go from sentence form to numerical and back again using the different operations and exponents.
Illustrative Mathematics
Kitchen Floor Tiles
An interesting way to look at the kitchen floor is to count the number of tiles in the border. Fred starts with four white floor tiles and writes an expression for the number of tiles needed for the colored border. Algebra learners are...
Illustrative Mathematics
Delivery Trucks
Algebra learners are to make sense of two different-sized sand trucks and the number of trips each truck makes. The resource lists four different expressions based on the size of each truck and the number of deliveries the trucks make....
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...
Illustrative Mathematics
Bookstore Account
We use debt often to describe negative numbers and your learners will be able to see how it translates into math. They will be asked to go through a series of transactions and make simple equations for each one, following it with a...
Illustrative Mathematics
Fruit Salad
Playing with values in this fruit salad problem allows learners to find out how many cherries were mixed in. Your middle schoolers can organize their thoughts in a chart before going into the equation. Eigth graders can skip the chart...
Illustrative Mathematics
The Djinni’s Offer
The djinni in this resource offers gold coins. Learners use the properties of exponents to make their decision as one offer increases exponentially. This makes a great group project. As the commentary suggests, start by having groups...
DK Publishing
Number Sentences Multiplying by 3
How many sets of eggs? Approach multiplication through sets of, in this case, three objects. Learners fill in blanks to complete a number sentence in two forms: ___ sets of 3= ___ and ___ x ___ = ___. There is an example they can...
Curated OER
Mixed Tables
Bring out the pegboards for this one! As you introduce multiplication, explain it as sets of objects using these visual practice problems. Learners look at eight pegboards with varying rows filled. For each, they fill in two sentences...
Curated OER
Mixed Tables
How many pennies does each person get? There are four visual division problems for young mathematicians to solve, and they divide 12 pennies among a set of people for each. They draw the coins above each recipient and then write the...
Curated OER
Dividing by 3
Use money to practice basic division concepts with young scholars. Each of the seven problems has a set of coins and three empty purses. They add up the coins for a total value and fill in a blank division number sentence to demonstrate...
Curated OER
Crossing Out
By crossing out objects young mathematicians can begin comprehending subtraction concepts. They examine six sets, each including two types of shapes. Learners choose one shape to cross out, filling in the subtraction equation this way...
Curated OER
Finding the Area
For each of these eight rectangles, scholars write out the multiplication sentence to find the area given the side measurements. They use an example for reference and must remember to include square feet in their answer. All measurements...
Kent State University
How Does that Work?
Sixth and seventh graders explore algebra word problems. They work with a partner to solve word problems distributed by e-mail. Learners simplify mathematical expressions following a "think aloud" algebra strategy modeled by the teacher....
Math Mammoth
Word Problems
Upper grade and middle school learners problem solve and calculate the answers to twenty various word problems involving multiplication, and a bar graph.
Virginia Department of Education
Translate and Evaluate
Hopefully nothing gets lost in translation. Pupils translate between verbal phrases and algebraic expressions. They then use candy to determine what values to substitute into the expressions.
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...
Illustrative Mathematics
Growing Coffee
Ask your algebra learners to write an equation that has unit constraints. This commentary talks about the constraints, but does not show them in the equation. It is important that your mathematicians understand that the units apply to...