EngageNY
Linear Systems in Three Variables
Put all that algebra learning to use! Using algebraic strategies, learners solve three-variable systems. They then use the three-variable systems to write a quadratic equation given three points on the parabola.
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...
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...
EngageNY
Mental Math
Faster than a speedy calculator! Show your classes how to use polynomial identities to multiply numbers quickly using mental math.
Mathematics Assessment Project
A Day Out
An applicable task presents a problem for pupils to solve: where to go for a class field trip. The pupils must take into consideration the first and second choices of members of the class when determining where to go. Individuals also...
Willow Tree
The Pythagorean Theorem
There isn't a more popular geometry formula than the Pythagorean Theorem! Learners understand the special side relationships in a right triangle. They use the Pythagorean Theorem to find missing sides and to solve problems. They begin...
Mathematics Assessment Project
Middle School Mathematics Test 6
A thorough math test divides the content into two 40-minutes sections, covering material through algebra and geometry. Problems incorporate analysis and applied problem solving.
Mathematics Assessment Project
Middle School Mathematics Test 5
A middle school test contains two 40-minute sections covering material through algebra. All questions involve applied problem solving or mathematical analysis.
Mathematics Assessment Project
Middle School Mathematics Test 1
A 13-page test contains two 40-minute sections, which provide word problems and applied analysis to cover material from pre-algebra through geometry.
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...
Willow Tree
Weighted Averages
Mixtures, weighted percentages, and varying speeds make problem solving difficult. The resource give learners a strategy for tackling these types of problems effectively.
Willow Tree
Direct and Inverse Variations
Enhance pupil understanding of proportions and variable relationships by studying direct and inverse variation. Use the idea of a proportional relationship to teach direct variation. Then use a similar pattern to help individuals...
Code.org
Using Simple Commands
Turtles might be slow, but class will zoom by when your pupils build a program in which reptiles draw a grid. Using App Lab and JavaScript, class members build a program to find the most efficient way to draw an image of a three-by-three...
Mathematics Assessment Project
Middle School Mathematics Test 4
Raise expectations in your classroom and assess learners through the provided performance tasks. Class members must apply concepts learned throughout the year, providing a good measurement of how well they understand the material. The...
Willow Tree
Percent of Change
Your car decreases in value from $20,000 to $17,000. What percent of the value have you lost? Pupils answer word problems by determining the percent of change.
Education Development Center
Thinking Things Through Thoroughly
Problem solving is a skill of its own. Learners use a variety of problems to encourage mental math and logic to get the correct answer. Guiding questions are provided along the way to encourage the right way of thinking to help tackle...
Curated OER
Word Problems Review Sheet
Word problems can make even expert mathematicians go blank. Practice solving word problems with an extended version of the GUESS method (givens, unknowns, equations, solve, substitute), which adds the steps of drawing a diagram, making...
Chymist
Problem Solving by Dimensional Analysis
Is your class in another dimension with regards to dimensional analysis? Give them some extra practice with a straightforward activity. Learners convert units by following concise step-wise examples, including setting up the problems....
Charleston School District
Applications of the Pythagorean Theorem
Use patterns to your advantage! The Pythagorean Theorem allows learners to find missing sides of right triangles. Problems include those with both rational and irrational lengths.
Charleston School District
Review Unit 5: Equations
It's time for them to show you what they've learned! The review provides a sampling of the different concepts learned throughout the eight-part series. Learners solve equations by combining like terms, applying the distributive property,...
Charleston School District
Equations of Linear Functions
Teaching linear function relationships using contextual information is beneficial to pupils' understanding. The lesson uses problem solving to build linear functions given different information for each problem. This is the second in a...
Charleston School District
Review Unit 4: Linear Functions
It's time to show what they know! An assessment review concludes a five-part series about linear functions. It covers all concepts featured throughout the unit, including linear equations, graphs, tables, and problem solving.
Louisiana Department of Education
Hatchet
Accompany a novel study of Hatchet by Gary Paulson with a unit consisting of 16 lessons focused on physical and emotional survival. Reading the story along with a variety of informational texts, scholars compare and contrast reading...
Computer Science Unplugged
The Muddy City—Minimal Spanning Trees
What is the most efficient way to ensure everyone is connected? Individual pupils determine the least expensive route to pave roads in a fictional city. In doing so, they learn to find the minimal spanning tree for the situation. They...