Chapter 3: Problem Solving
The Lessons in Chapter 3
Balance Problems and Equations, Part 1
Balance Problems and Equations, Part 2
More Equations
Problem-Solving with Bar Models 1
Problem-Solving with Bar Models 2
Problem-Solving with Bar Models 3
Problem-Solving with Bar Models 4
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Pan Balance - Numbers
Enter a numerical expression in one pan and then in the other. The pans will raise or lower depending on which expression is “heavier” (has a greater value). When the expressions are equivalent, the pans will balance and the full equation will be entered into the Balanced Equations table. This tool strengthens students' understanding of EQUALITY as a relationship, not as an operation. Many students view the equals sign as an operation of “find the answer,” which is incorrect. These students find it difficult to understand equations such as 11 = 4 + 7 or 3 × 5 = 17 – 2.
Pan Balance - Shapes
This interactive balance builds algebraic thinking. Find the weight of each shape by placing shapes on the two pans. Try to find situations where the weights are equal. One square always weighs 1 unit.
Balance Scale Activity
Use your intuition about balance to help solve the problems in this interactive online exercise. If you need help there is a video to watch for instruction.
Algebra Balance Equations
Replicate the given equation by moving the blocks of X and 1 to the sides of the balance scale. Then use addition, subtraction, multiplication, and division to each side to solve for x.
Thinking Blocks
An interactive math tool developed to help students learn how to solve multi-step word problems with the help of bar models. Choose “Find a Fraction of a Number” to practice the topic of the lesson
Problem-Solving with Bar Models 1.
Thinking Blocks
An interactive math tool developed to help students learn how to solve multi-step word problems with the help of bar models. Choose “Compare Quantities” to practice the topic of the lesson Problem
Solving with Bar Models 3.
Thinking Blocks
Choose “Find the Total or Part” to practice topics of the lesson
Problem Solving with Bar Problems 4.
Stable Scales Quiz
In each picture, the scales are balanced. Can you find the weight of the items on the scales?
Algebra Puzzle
Find the value of each of the three objects presented in the puzzle. The numbers given represent the sum of the objects in each row or column.
Calculator Chaos
Most of the keys have fallen off the calculator and you have to make certain numbers using the keys that are left.
ArithmeTiles
Use the four operations and numbers on neighboring tiles to make the target numbers. This game uses Shockwave.
SpeedMath Deluxe
Create an equation from the four given digits using addition, subtraction, multiplication and division. Make sure that you remember the order of operations. It includes negative numbers sometimes.
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