These lessons will illustrate how word problems can be solved using block diagrams. Students who have not yet learned algebra can use the block diagrams or tape diagrams to help them visualize the problems in terms of the information given and the data to be found. This allows the student to decide which operators to use: Addition, Subtraction, Multiplication or Division. Block diagrams or tape diagrams are used in Singapore Math and Common Core Math.
For students who already know algebra, we have organized a section for solving word problems using algebra.
In addition to block diagrams and algebra, we also have a section that uses other types of problem solving strategies.
Some of these lessons and videos show how to use the block diagrams (Singapore Math) method to solve word problems. The blocks can assist the students in visualizing and solving the word problems without using algebra.
2nd Grade 1-step Word Problems
3rd Grade 2-step Word Problems 1
3rd Grade 2-step Word Problems 2
4th Grade 3-step Word Problems
5th Grade: Ratios & Proportions
5th Grade Percent & Fractions
6th Grade: Ratios & Fractions
6th Grade: Ratios & Proportions
6th Grade Percent Word Problems
6th Grade: Average Speed
6th Grade Algebra Word Problems
7th Grade Word Problems 1
7th Grade Word Problems 2
The following are worked solutions and videos showing how to solve the types of algebra word problems that are commonly given in classrooms and textbooks. We hope that these samples will help you see how to approach the different types of algebra word problems.
Geometry Word Problems
Involving Perimeters
Involving Areas
Involving Angles
Angle Word Problems
Perimeter Word Problems 1
Perimeter Word Problems 2
Perimeter Word Problems 3
Area Word Problems
Area of Rectangle Word Problems
Area of Triangle Word Problems
Area of Parallelogram Word Problems
Volume Word Problems
Volume Word Problems
Geometry Word Problems using Quadratic Equations
Pythagorean Theorem Word Problems
Trigonometry Word Problems
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