Students learn about shapes and their properties in geometry. Have students compare and contrast two shapes or identify the general characteristics of a group of shapes. After finding the diameter of a circle, ask students to explain how to find the radius of that circle using the diameter. For a more in-depth activity, have students use their knowledge of shapes to create a diagram of a room.
In the area of algebra, analysis helps students understand the purpose of equations and methods for solving problems. When solving an algebraic equation, ask students to explain which method they prefer to use when solving the problem and explain why. Provide students with a pattern and have them explain the basics of the pattern or compare that pattern to another pattern. Even students in elementary school may be able to take similar patterns and translate them into common rules for mathematics.
At the elementary level, help students analyze the size of a number based on its place value. For example, a student could see the number 512 and explain it is a large number because the five is in the hundreds place. Have students compare the size of two numbers using place value. As students learn about positive and negative numbers, have them practice using a calculator to add, subtract and multiply positive and negative and analyze the results to come up with common rules.
To use the analysis level of Bloom's taxonomy, give students something to measure and require students to choose the method of measurement and explain why that method was chosen. Ask students to create posters analyzing the pros and cons of different types and tools of measurement, including information about the accuracy of the measurement. Combine measurement and geometry and have students compare the perimeter or area of two shapes or spaces.
The essence of data analysis and probability has students use data to analyze possible outcomes of an event. Have students analyze graphs to come to conclusions about the probability of a certain event happening. Provide students with two graphs showing similar information and have them analyze the graphs to compare and contrast the information presented. Encourage students to analyze different measures of data collection and explain the effect that method of collection has on data.