Lesson Plan
Reardon Problem Solving Gifts

Teaching Problem Solving Strategies in the 5-12 Curriculum

For Teachers 5th - 12th
Address any kind of math concept or problem with a series of problem-solving strategies. Over 12 days of different activities and increasing skills, learners practice different ways to solve problems, check their answers, and reflect...
Lesson Plan
Willow Tree

Problem Solving

For Students 8th - 11th Standards
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...
Lesson Plan
Willow Tree

Weighted Averages

For Students 8th - 11th Standards
Mixtures, weighted percentages, and varying speeds make problem solving difficult. The resource give learners a strategy for tackling these types of problems effectively. 
Lesson Plan
EngageNY

Word Problems Leading to Rational Equations

For Students 10th - 12th Standards
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 —...
Lesson Plan
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EngageNY

Solving Equations Involving Linear Transformations of the Coordinate Space

For Teachers 11th - 12th Standards
Explore methods for solving linear systems with your classes and introduce learners to using matrices as a viable method. Scholars are able to recognize situations where matrices are the efficient method of solving. Application...
Lesson Plan
Missouri Department of Elementary

Opportunity Knocks, But It Costs, Too!

For Teachers 6th
Sixth graders practice six steps to effective problem solving. Working with the school counselor, class members are presented with a scenario that requires them to make a decision. Individuals then write a reflection in which they...
Lesson Plan
EngageNY

Solving Problems in Two Ways—Rates and Algebra

For Students 9th - 10th Standards
Build confidence by using multiple approaches to problem solving! This resource uses a visual and algebraic approach to solving application problems. A discussion is included about efficient approaches to different problems.
Lesson Plan
EngageNY

Problem Solving and the Coordinate Plane

For Students 6th Standards
Class members investigate rectangles on the coordinate plane. They determine the length of line segments in the coordinate plane with the same x-coordinate or same y-coordinate and then solve geometric problems involving perimeter...
Lesson Plan
EngageNY

Applying Tangents

For Students 9th - 10th Standards
What does geometry have to do with depression? It's an angle of course! Learners apply the tangent ratio to problem solving questions by finding missing lengths. Problems include angles of elevation and angles of depression. Pupils make...
Lesson Plan
EngageNY

Writing and Solving Linear Equations

For Teachers 8th Standards
Incorporate geometry into the solving linear equations lesson. Pupils use their knowledge of geometry to write linear equations which reinforces geometry measurement concepts while at the same time providing a familiar context for...
Lesson Plan
West Contra Costa Unified School District

Motion Problems

For Teachers 8th - 10th Standards
Let's hope class participants don't get motion sickness. In the lesson, class members first solve motion problems using tables and graphs. They then use algebraic techniques to solve motion problems.
Lesson Plan
EngageNY

Multi-Step Problems—All Operations

For Teachers 6th Standards
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...
Lesson Plan
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Virginia Department of Education

Practical Problems Involving Decimals

For Teachers 5th - 7th Standards
After discussing decimals and "going shopping" in the classroom, young mathematicians are given four practical word problems that require them to estimate their answers, given specific information. The highlight of the lesson is...
Lesson Plan
Virginia Department of Education

Solve for the Unknown

For Teachers 8th - 10th Standards
How can shapes help solve literal equations? Scholars first learn to replace variables with shapes to aid in solving literal equations. A worksheet of practice problems helps hone the skill.
Lesson Plan
EngageNY

Two-Step Problems—All Operations

For Teachers 6th Standards
Step 1: Use the resource. Step 2: Watch your class become experts in solving two-step problems. Scholars learn to solve two-step word problems in context. They use tape diagrams and algebraic techniques to break the problem into two,...
Lesson Plan
EngageNY

Solving Radical Equations

For Students 10th - 12th Standards
Learners solve complex radical equations. Solutions vary from one, two, and none, allowing pupils to gain experience solving a variety of problems.
Lesson Plan
EngageNY

Solving a Linear Equation

For Teachers 8th Standards
Solving an equation is the art of creating simpler equivalent equations using properties of equality. Here, classes see that solving an equation is not always as easy as guessing. The lesson presents linear equations that scholars must...
Lesson Plan
Project Maths

Introduction to Quadratics

For Teachers 8th - 10th Standards
Develop conceptual knowledge of a quadratic equation and its solutions in your classes. The third algebra lesson in a series of four introduces learners to solving quadratic equations slowly. The first activity explores the zero product...
Lesson Plan
Illustrative Mathematics

Sammy's Chipmunk and Squirrel Observations

For Teachers 7th - 9th Standards
Here is a fun project. Sammy observes a chipmunk and a squirrel to see how many holes each needs in order to stash the same number of acorns.  Scholars could find the answer algebraically or create a table to analyze the...
Lesson Plan
EngageNY

Word Problems

For Teachers 8th Standards
Use several skills to solve word problems leading to systems of equations. Scholars define variables and write equations to model situations described within word problems. Pupils solve the resulting system of linear equations using...
Lesson Plan
West Contra Costa Unified School District

Using Bar Models to Solve Rate Problems

For Teachers 8th - 10th Standards
Pupils visualize distance-rate-time problems by using bar models. The instructional activity presents examples of four different types of rate problems and shows how they can be solved using bar models and equations. Each...
Lesson Plan
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EngageNY

Solving Basic One-Variable Quadratic Equations

For Students 9th - 10th Standards
Help pupils to determine whether using square roots is the method of choice when solving quadratic equations by presenting a lesson that begins with a dropped object example and asks for a solution. This introduction to solving by...
Lesson Plan
EngageNY

One-Step Problems in the Real World

For Teachers 6th Standards
Mirror, mirror on the wall, which is the fairest resource of them all? Individuals write and solve one-step equations for problems about angle measurement, including those involving mirrors. Both mathematical and real-world problems are...
Lesson Plan
Illustrative Mathematics

Two Interpretations of Division

For Teachers 3rd - 4th Standards
Division can be seen in two ways; as splitting a whole into a certain number of pieces, or splitting it into pieces of a certain size. Help your class reach this understanding with these two simple word problems. Encourage the use of...

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