Curated OER
Grocery Store Problem Solving
Third graders practice mathematical problem solving skills. In this problem solving lesson, 3rd graders develop mathematical problem solving skills using real-world examples.
Mathematics Assessment Project
Solving Linear Equations
Linear equations are the focus of activities that ask learners to first complete a task that involves interpreting algebraic expressions and solving linear equations. They then take part in a card activity matching...
EngageNY
Solving Problems by Finding Equivalent Ratios II
Changing ratios make for interesting problems. Pupils solve problems that involve ratios between two quantities that change. Groups use tape diagrams to represent and solve classroom exercises and share their solutions.
Curated OER
Mathematical Modeling
Study various types of mathematical models in this math lesson. Learners calculate the slope to determine the risk in a situation described. They respond to a number of questions and analyze their statistical data. Then, they determine...
EngageNY
Creating and Solving Quadratic Equations in One Variable
Give your classes practice at modeling using quadratic models with a resource that uses area and integer problems to allow individuals to create second degree polynomials. Young mathematicians solve equations using factoring and then...
EngageNY
Solving and Graphing Inequalities Joined by “And” or “Or”
Guide your class through the intricacies of solving compound inequalities with a resource that compares solutions of an equation, less than inequality, and greater than inequality. Once pupils understand the differences, the...
EngageNY
Counting Problems
Solving these percent problems is a matter of counting. Pupils find percents by counting the number of events that meet the criteria and the total number of possibilities. Participants create the ratio and convert it to a percent to...
Curated OER
Using Groups of Ten to Solve Problems
Upper graders solve math problems involving multiplication using specific strategies. They will use base-ten blocks, hundreds charts, and number lines to solve multiplication problems. Then they will practice several of the strategies...
EngageNY
Ferris Wheels—Using Trigonometric Functions to Model Cyclical Behavior
Have class members going in circles as they model the path of a Ferris Wheel using trigonometric functions. Building on the previous lesson in this series on transformations, learners use trigonometric functions to model wheels of...
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...
EngageNY
Solving Equations with Radicals
Show learners how to develop a procedure for solving equations using radicals with the fifth lesson plan of the 25-part module that challenges learners to use properties to solve multi-step quadratic and cubic equations. Individuals...
EngageNY
Solving Equations Involving Linear Transformations of the Coordinate Plane
How can matrices help us solve linear systems? Learners explore this question as they apply their understanding of transformation matrices to linear systems. They discover the inverse matrix and use it to solve the matrix equation...
Curated OER
Problem Solving Strategy for Multi-step Math Problems
Third graders analyze mathematical word problems and interpret the words into mathematical equations. Individuals demonstrate their knowledge of the order of operations both verbally and through written expression.
Pennsylvania Department of Education
Problem Solving with Fractions
Solve story problems using fractions or decimals. Then, determine the reasonableness of answers using estimation.The detailed lesson includes essential questions, vocabulary, a materials list, and links to related units.
Education World
Got the Time? (Math Word Problems)
Upper graders work with peers to solve word problems related to time and independently solve word problems that involve calculating time. They will show their ability to solve and work through mathematical operations. A worksheet is...
EngageNY
Part of a Whole as a Percent
Pupils use visual models, numeric methods, and equations to solve percent problems. To complete the second installment of 20, they find the part given the percent and the whole, find the percent given the part and the whole, and find the...
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
Solve for Unknown Angles—Angles in a Triangle
Assist your class with each angle of geometry as they use exterior angles to form linear pairs with adjacent interior angles. They cover multiple vocabulary terms and work practice problems, complete with justifications, before...
EngageNY
Another Computational Model of Solving a Linear System
The process of elimination really works! Use elimination when substitution isn't doing the job. The 29th segment in a series of 33 introduces the elimination method to solving linear systems. Pupils work several exercises to grasp the...
EngageNY
Problems in Mathematical Terms
Whether scholars understand independent and dependent variables depends on you. The 32nd installment of a 36-part series has learners analyze relationships in real-world problems through tables. They determine independent and dependent...
EngageNY
Solving General Systems of Linear Equations
Examine the usefulness of matrices when solving linear systems of higher dimensions. The instructional activity asks learners to write and solve systems of linear equations in four and five variables. Using matrices, pupils solve the...
Curated OER
Solving Systems Using Substitution
Write a math story for a series of problems using given variables. The class writes stories, showing understanding of strategies in compound sentences. They then solve the equations.
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...
Missouri Department of Elementary
Acting Out Respect
Bert and Ernie, Lucy and Ethel ... what makes a great friend? Pupils first learn about the STAR method of problem solving: Stop, Think, Act, Review. Small groups then role play various scenarios to demonstrate respect and compromise in...