Teach Engineering
Archimedes' Principle, Pascal's Law and Bernoulli's Principle
What do Pascal's law, Archimedes' Principle, and Bernoulli's Principle have to do with fluid mechanics? The included PowerPoint presentation provides the basic definitions and equations associated with the three. A set of homework...
Illustrative Mathematics
Two Wheels and a Belt
Geometry gets an engineering treatment in an exercise involving a belt wrapped around two wheels of different dimensions. Along with the wheels, this belt problem connects concepts of right triangles, tangent lines, arc length, and...
Curated OER
Writing a Number Sentence
Third graders analyze word problems. In this number sentence lesson, 3rd graders evaluate word problems. Students create number sentences from word problems.
Curated OER
Scientific Notation
Students solve mathematical equations involving scientific notation. In this scientific notation lesson, students collaborate in small groups discovering proper problem solving strategies.
Curated OER
Multiplying Decimal Numbers: Using Zeros as Placeholders
Explore decimals with upper graders. They solve problems from their textbook involving decimal multiplication. Afterward, as a class, they check their answers by comparing them to those projected with an overhead projector.
Curated OER
Best lesson in the whole world!
Students study the concept of fraction using mathematical reasoning. In this problem solving fraction lesson, students use various methods to explain their reasoning in solving fractions. Students use a number of different prompts to...
Curated OER
Investigating Velocity Effects at Takeoff
Students use, with increasing confidence, problem-solving approaches to investigate and explain mathematical content. They make and test conjectures. They use tables and graphs as tools to interpret expressions, equations, and inequalities.
Curated OER
Solve Story Problems: Sold! A Mathematics Adventure
Young mathematicians listen to the book Sold!: A Mathematics Adventure by Nathan Zimelman where they encounter ways to solve story problems. They then create and solve start unknown addition and subtraction equations. Resource builds in...
Curated OER
Snack Time
Students explore mathematics by participating in a snack eating activity. In this math problem solving lesson, students utilize different children's snacks as visual aides in a variety of math problems. Students receive snacks as they...
Curated OER
Using Factoring to Solve Equations
Eleventh graders use factoring to solve 44 different problems involving area, intercepts, quadratic equations, and functions.
Curated OER
Estimating Solutions to Word Problems
Learners use estimation to determine the answers to word problems by rounding whole numbers. In this estimation lesson plan, pupils compare and contrast solutions using the best answer.
Curated OER
Mathematics Within: Algebraic Processes and Its Connections to Geometry
Students analyze multiple strategies of multiplication: clustering, area model, breaking apart/decomposing, etc. They create their own strategies to approaching multiplication problems and share them with their classmates. Discussion...
Curated OER
"NSN, Fractions, Percents, Ratios, Rates" Investigations
Sixth graders engage in an investigation about the concepts related to fractions. They read, represent, compare, and order proper and improper fractions, and mixed numbers. They demonstrate an understanding of relationships involving...
Curated OER
Problem Solving in Mathematics
Seventh graders discover that there are multiple strategies to be used in problem solving. They explain a problem solving situation in their own words and determine a possible strategy for solving the problem.
Curated OER
Problem Solving
Eighth graders complete Calculator Explorations, Problem -solving, and the Discussion topic as outlined in the worksheet from Lola May's Teaching Math - Extending the meaning of multiplication and division.
Curated OER
Hooked On Problem Solving
Fourth graders use properties of operations and problem-solving strategies to do mental calculations, and look for patterns in the solutions. They create an array, using each of the digits 1-9 exactly once to form addition problems...
Pennsylvania Department of Education
Problem-Solving
Students help solve real-life classroom problems. In this problem solving activity, the class sits down as a whole and discusses possible solutions to real problems that they face as a class.
Curated OER
Fairy Tale Math
Have class members rewrite a favorite fairy tale in order to incorporate numerical information. For inspiration, the teacher provides an example written by another second grader. These modified stories are then used to write word...
Curated OER
Buying on Credit
Explore using credit in this financial responsibility and math lesson. Learn to identify the acronym of "PRT" as Principle x Rate x Time, then calculate interest based on this formula. Do some real-world problem solving and choose...
Curated OER
Defining Division
Upper graders explore division through fair-shares. They will review fair shares and fractions as a segway into division. They start by playing "Share Fairly" game and create mathematical arguments for solving problems. Manipulatives and...
Curated OER
Another Way of Factoring
Focusing on this algebra lesson, learners relate quadratic equations in factored form to their solutions and their graph from a number of different aspects. In some problems, one starts with the original equation and finds the...
EngageNY
From Ratio Tables to Equations Using the Value of a Ratio
Use the value of a ratio to set up equations. The teacher leads a discussion on determining equations from ratio tables in the 13th portion of a 29-part series. Pupils determine which of two equations to use to find the solution....
EngageNY
Using Permutations and Combinations to Compute Probabilities
Now that we know about permutations and combinations, we can finally solve probability problems. The fourth installment of a 21-part module has future mathematicians analyzing word problems to determine whether permutations or...
Curated OER
Introduction to Exponents
Problem solve using exponents. Pupils read One Grain of Rice: A Mathematical Folktale and write powers to represent amounts from the story.They compare actual solutions to their predictions and play a game to practice using...