Students state the general rule for a practical situation. They describe a continuing pattern. They use toothpicks to help visualize the problem and answer it correctly.

Students are introduced to the problem and brainstorm ideas for approaching the problem and keeping track of what has been done. They work in pairs and share their answers, explaining their reasoning.

Students discuss problem and take turns in pairs, one tossing the coins while the other guesses whether the coins land with the same side up or different sides up. They record the results of each guess as same or different.

Students are introduced to the problem. They brainstorm ideas for approaching the problem and keeping track of what has been done. Students work on the problem in pairs to discover what strategies might help to find the answer.

Fourth graders read the problem and brainstorm for ways to solve the problem - list these on the board for the students to refer to as they solve the problem. They work in pairs and focus on the strategy selected.

Fourth graders are introduced to the problem using a bottle of medicine. They estimate the volume of the medicine and predict the instructions on the bottle. They then think about how they might solve the problem before asking them to...

Third graders are introduced to the problem with a short discussion about parking. They then solve with a partner. As they work ask questions that focus on the strategies they are using to make the calculations.

Fourth graders are introduced to the problem by weighing objects on the balance scales. Use weights in both pans. (If you don't have access to scales use 2 containers and a child acting as the balance.) They then listen to the problem...

Fourth graders listen to the story of a farmer who only likes to be able to see nine sheet from his window. His wife has brought him another sheep - what now? They work together in pairs to solve the problem and share solutions.

Fourth graders work in a group of 4 to make rectangle with a 12m length of string. They discuss its perimeter and how they would calculate its area. Then another group of 4 make another rectangle and estimate if the area would be greater...

Students explore patterns and geometric sequencing. Students devise and use problem solving strategies to explore situations mathematically. Students solve real life problems. They demonstrate, with cardboard pieces, fraction and...

Fourth graders devise and use problem solving strategies to explore situations mathematically (guess and check, make a drawing, use equipment). The use of logical reasoning is a focus of this lesson.

Students try to figure out the strategies to the game Noughts. Students logic must play a part in the process of the game. Students apply the symmetries of regular polygons. Students devise ways to critically follow a chain of reasoning.

Fifth graders determine which container made from a single sheet of paper has the greatest volume. They look the solutions made by three different students before working on their own examples.

Fourth graders solve a series of parallel problems. They use statistics, geometrical, and numerical aspects to solve the problem. Students create a pattern that answers the problem.

Young scholars generate patterns from a structured problem, finding a rule for the general term, and expresses it in words and symbols. They then devise and use problem solving strategies to explore situations mathematically.

Students generate patterns from a structured situation, find a rule for the general term, and express it in words and symbols. They also devise and use problem solving strategies in a systematic way.

High schoolers make sensible estimates and check for reasonable results. They also solve problems with positive and negative integers using practical activities or models as needed.

Students use equations to represent practical situations. They solve linear equations and quadratic equations. The use of problem solving strategies is also developed.

Students practice this problem that needs a certain amount of experimentation (trial and error) to get any answer at all. In the process they practice their basic number facts. However, to get the complete set of answers Students need to...

Eighth graders solve problems involving percentage increases and decreases. Using given percentages, 8th graders transform a square into a rectangle. They apply the area formulas for squares and rectangles.Students observe the percent...

Students interpret information and results in context while using words and symbols to generalize patterns. They use symmetry and angle properties of polygons to solve practical problems and identifying invariant properties under...

Learners use a game to establish the context of solving problems in a systematic and mathematical fashion. They also solve various types of equations to find reasonable solutions.

High schoolers devise a strategy to solve problems that is done in a systematic and mathematical fashion. The finding of the unknown value is the focus of the lesson. To solve linear equations proficiently is the skill of the lesson.