Illustrative Mathematics
Explaining Fraction Equivalence with Picture
Visual models are a great tool for demonstrating the concept of equivalent fractions. Given two pictures, young mathematicians first identify each fraction and then write an explanation for why they are equivalent. Use as a guided...
Illustrative Mathematics
Voting for Two, Variation 1
The votes are in and your mathematicians are going to calculate how many votes each candidate received. Three different solution choices are given, depending on which method is taught. Have your learners set up a table, compute parts, or...
Illustrative Mathematics
Voting for Two, Variation 4
After elections, the total amount of votes is not specified but the ratio of votes is. Your learners' job is to determine the fraction of votes John received above half of all votes. The problem can be solved abstractly or by other...
Curated OER
Chapter 2 Practice test
Overall, this worksheet contains a good selection of problems that reviews different aspects of linear equations. Learners examine and graph linear equations, absolute value equations, and inequalities in two variables. The three page...
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...
Curated OER
Closest to 1/2
Using a number line, pupils are asked to identify which of four fractions is closest to one half. Includes a single problem that can serve as a practice problem or formative assessment for 3rd or 4th graders learning to partition number...
California Education Partners
T Shirts
Which deal is best? Learners determine which of two companies has the best deal for a particular number of shirts. They begin by creating a table and equations containing each company's pricing structure. Individuals finish the seventh...
Virginia Department of Education
The Colligative Properties of Solutions
How can you relate colligative properties of solutions to everyday situations? Pupils first discuss the concepts of density, boiling and freezing points, then demonstrate how to accurately determine the boiling and freezing point of...
Illustrative Mathematics
Cell Phone Plans
Turn your classroom into a local cell phone store. Then, have your cell phone agents use linear equations to visually display three cell plans and their advantages. It makes for a great group project. Discuss how to decide which plan is...
EngageNY
Decimal Expansions of Fractions, Part 2
Develop your pupils' understanding of fractions and their decimal equivalence using the 12th lesson in this series. Scholars learn an alternative to long division that results in converting fractions to decimals that emphasize fractional...
Balanced Assessment
Number Trick
Show your classes the magic of numbers. Using a number trick, learners practice writing algebraic expressions. They then use their expression to perform the trick. Their exploration should help them understand the magic behind the trick.
Illustrative Mathematics
Fixing the Furnace
This comprehensive resource applies simultaneous equations to a real-life problem. Though the commentary starts with a graph, some home consumers may choose to begin with a table. A graph does aid learners to visualize the shift of one...
Curated OER
Linear Inequalities in Two Variables
Use this worksheet as a warm up, a refresher exercise, or a practice after a more detailed lesson on graphing linear inequalities in two variables. Start with boundaries that are horizontal or vertical, then move into graphs with...
Curated OER
Systems of Equations in Two Variables
In this algebra worksheet, students work with pairs of linear equations. Three problems ask students to determine if the given ordered pair is a solution of the system of equations. Students graph two systems to determine the solution.
Curated OER
Solving Applications: Systems of Two Equations
In this algebra worksheet, students solve 9 word problems. Each problem involves two sets of information that students must translate into math symbols. The two equations are then solved for the one solution that is true for both.
EngageNY
Complex Numbers as Solutions to Equations
Quadratic solutions come in all shapes and sizes, so help your classes find the right one! Learners use the quadratic formula to find solutions for quadratic equations. Solutions vary from one, two, and complex.
Curated OER
How do Hypotonic, Hypertonic, and Isotonic Solutions Affect the Water Movement of a Cell?
After removing the shell from a raw egg, cell biologists soak the egg in either a hypotonic, hypertonic, or isotonic corn syrup solution. They calculate the percent change in mass and compare it to the strength of the solution in a...
Illustrative Mathematics
Voting for Three, Variation 2
Here is another opportunity for math students to apply reasoning to solve real-world problems with ratios. The ratio of the number of votes for two candidates is provided. Your class is asked to use this ratio and information given about...
BW Walch
Creating Linear Equations in One Variable
The example of two travelers meeting somewhere along the road has been a stereotypical joke about algebra as long as algebra has existed. Here in this detailed presentation, this old trope gets a careful and approachable treatment....
Curated OER
Chapter 13 Review, Mixed Review: Ions in Aqueous Solutions and Colligative Properties
Here is an attractive worksheet that walks chemistry learners through a review of aqueous solutions. There are matching, short answer, and multiple choice questions dealing with boiling and freezing points, precipitate, molality, net...
Illustrative Mathematics
Currency Exchange
Take your class on a North American adventure with a currency conversion problem. Pupils are asked to change US dollars into Canadian dollars and then to Mexican pesos. The commentary includes two solutions, converting by unit rates and...
Concord Consortium
Sine Solution
How many times can eager mathematicians catch the waves? Pupils find the solutions of three different trigonometric equations. They then determine the effect of the slope of a line that intersects a trigonometric function and the number...
Illustrative Mathematics
Traffic Jam
Help your learners understand dividing with fractions by using these methods to solve. Chose from two different number lines or linker cubes. This practices "how many groups?" style division problems which help them comprehend why they...
Inside Mathematics
Number Towers
Number towers use addition or multiplication to ensure each level is equal. While this is common in factoring, it is often not used with algebraic equations. Solving these six questions relies on problem solving skills and being able to...