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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 —...
Curated OER
Using Algebra to Explore Problem Space
Students apply their knowledge of math by rewriting word problems using equations. In this word problem lesson, students build upon previous knowledge as they set up the correct steps to solve word problems. This lesson is full of hints...
Curated OER
The Class Trip
Mrs. Moore's class is trying to earn money for a trip to the science museum, but how much more do they need? Solve this problem with your own class as they develop their ability to model real-life situations algebraically. As an added...
Curated OER
Fairy Tales Come True
Pupils see how to solve math problems using place value. After watching an episode from Cyberchase, kids work together using hands-on materials to solve the problems given. This outstanding, ten-page lesson has everything you need to...
EngageNY
Using Trigonometry to Determine Area
What do you do when you don't think you have enough information? You look for another way to do the problem! Pupils combine what they know about finding the area of a triangle and trigonometry to determine triangle area when they don't...
Curated OER
Jon and Charlie's Run
Let's use math to solve an argument. Jon and Charlie are debating about who can run farther, but who is right? That's what your class will figure out as they apply their understanding of fractions to this real-life situation. A simple,...
Curated OER
Using Multiplication to Solve Word Problems
Students explore math functions by solving word problems in class. In this multiplication lesson, students utilize colored cubes and base blocks to visualize multiplication problems. Students identify the multiplication values within...
EngageNY
Existence and Uniqueness of Square Roots and Cube Roots
Teach cube roots by building on an understanding of square roots. The third installment of a 25-part series asks learners to solve simple quadratic and cubic equations using roots. Scholars compare square roots and cube roots throughout...
EngageNY
A Focus on Square Roots
Pupils learn to solve square root equations and rationalize denominators. Problems include those with extraneous solutions.
Curated OER
Applying Trigonometric Functions To Real Life
Students examine where trigonometry exists outside the classroom. In this trigonometry lesson, students create trigonometric functions to match the data provided and to solve word problems relating to the real world.
Illustrative Mathematics
Field Day Scarcity
Introduce young mathematicians to concepts of financial literacy with this open-ended word problem. With seven dollars to spend during field day and given a list of available items and their prices, children must determine how they want...
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...
EngageNY
Solving Equations with Radicals
Show learners how to develop a procedure for solving equations using radicals with the fifth activity of the 25-part module that challenges learners to use properties to solve multi-step quadratic and cubic equations. Individuals round...
EngageNY
Using Trigonometry to Find Side Lengths of an Acute Triangle
Not all triangles are right! Pupils learn to tackle non-right triangles using the Law of Sines and Law of Cosines. After using the two laws, they then apply them to word problems.
Curated OER
Carnival Tickets
A great subtraction and division discovery opportunity for young mathematicians, this learning task involves seven word problems that require multiple steps. Learners use a math table to persevere in solving problems that are...
Illustrative Mathematics
Margie Buys Apples
One of the most common, everyday applications of math is dealing with money. This single problem calculating how much change Margie receives is more involved than it appears at first glance. An understanding of how fractions and decimals...
NASA
Exploration of a Problem: Making Sense of the Elements
When given too much data to simply memorize, it helps to sort it into manageable groups. The second lesson in the six-part series of Cosmic Chemistry challenges groups of pupils to take a large amount of data and figure out how to best...
Virginia Department of Education
Radical Equations
Provide students with the skill for how to examine algebraic and graphical approaches to solving radical equations. Learners solve various radical equations involving square root and cube root expressions. They first solve...
Curated OER
Principles of Square Roots Lesson Plan
Middle and high schoolers investigate all the different places in math that square root is present. In this geometry lesson, pupils discuss square roots as it relates to a right triangle and construction. They go over altitude, rise,...
EngageNY
Mid-Module Assessment Task: Grade 7 Mathematics Module 3
Lesson 16 in the series of 28 is a mid-module assessment. Learners simplify expressions, write and solve equations, and write and solve inequalities. Most questions begin as word problems adding a critical thinking component to the...
National Security Agency
Growing Patterns: Practical Pattern Problems
Your learners explore growing patterns by describing, extending, creating, and evaluating practical pattern problems in this three-day collaborative unit. Beginning with concrete patterns and function tables to extend and...
Curated OER
Building Word Problems
Sixth graders study addition and subtraction facts. In equal groups, they play a race game to correctly solve addition and subtraction problems. Using a PowerPoint presentation, the teacher demonstrates how to write word problems and...
Curated OER
Visiting the Arcade
Second graders take a trip to the arcade in an activity that engages them in problem solving with money. Composed of three word problems, youngsters are instructed to determine various combinations to represent a given value by using...
Illustrative Mathematics
How Many Containers in One Cup / Cups in One Container?
The object is to model fraction division by asking “How many are in one group?” It is a difficult concept to understand, but developing the model that shows one cup to a certain amount of container or one container to a certain amount of...