Introduction
A Webquest is a valuable tool to use with students. It allows students to work at their own pace either individually or in a team. A Webquest is a fun, research-based tool to help students learn more detailed information about a specific topic being studied and creates a greater sense of importance for that topic.
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number of theory.
Task
The Task section of the webquest explains clearly and precisely what the learners will have to do as they work their way through the webquest. The task should obviously be highly motivating and intrinsically interesting for the learners, and should be firmly anchored in a real-life situation.
A mathematical performance task includes learning activities and assessments that require students to produce a product that demonstrates their understanding and proficiency. The product that is created, as a result of the performance task, provides the teacher with the necessary evidence to assess their learning.
Process
There are many operations in mathematics, such as addition, subtraction, multiplication, and division. They help us evaluate mathematical expressions.
Solved Examples On Order Of Operations
Example 1: Solve: 2 + 6 × (4 + 5) ÷ 3 – 5 using PEMDAS.
Solution:
Step 1 – Parentheses : 2+6 × (4 + 5) ÷ 3 – 5 = 2 + 6 × 9 ÷ 3 – 5
Step 2 – Multiplication: 2 + 6 × 9 ÷ 3 – 5 = 2 + 54 ÷ 3 – 5
Step 3 – Division: 2 + 54 ÷ 3 – 5 = 2 + 18 – 5
Step 4 – Addition: 2 + 18 – 5 = 20 – 5
Step 5 – Subtraction: 20 – 5 = 15
Example 2: Solve 4 – 5 ÷ (8 – 3) × 2 + 5 using PEMDAS.
Solution:
Step 1 – Parentheses: 4 – 5 ÷ (8 – 3) × 2 + 5 = 4 – 5 ÷ 5 × 2 + 5
Step 2 – Division: 4 – 5 ÷ 5 × 2 + 5 = 4 – 1 × 2 + 5
Step 3 – Multiplication: 4 – 1 × 2 + 5 = 4 – 2 + 5
Step 4 – Subtraction: 4 – 2 + 5 = 2 + 5
Step 5 – Addition: 2 + 5 = 7
Example 3: Solve 100 ÷ (6 + 7 × 2) – 5 using PEMDAS.
Solution:
Step 1 – Multiplication inside parentheses: 100 ÷ (6 + 7 × 2) – 5= 100 ÷ (6 + 14) – 5
Step 2 – Addition inside parentheses: 100 ÷ (6 + 14) – 5 = 100 ÷ 20 – 5
Step 3 – Division: 100 ÷ 20 – 5 = 5 – 5 Step 4 – Subtraction: 5 – 5 = 0
Evaluation
First, I look for any grouping symbols (P). There are none, so I then look for any exponents (E). Since I see 2^3, I will do that calculation first, without performing any other calculation. Lastly, I complete addition (A) and subtraction (S) from left to right.
First, we solve any operations inside of parentheses or brackets. Second, we solve any exponents. Third, we solve all multiplication and division from left to right. Fourth, we solve all addition and subtraction from left to right.
The order of operations (PEMDAS) is essential for solving complex math problems. PEMDAS stands for Parentheses, Exponents, Multiplication, and Division (same level), and Addition and Subtraction (same level).
The 5-Step approach
- Identify the problem. It is essential that you are clear from the start about the problem you are aiming to address. ...
- Review the evidence. ...
- Draw a logical model of how your service should work. ...
- Identify indictors and collect monitoring data. ...
- Evaluate logic model
Conclusion
PEMDAS is an acronym for the words parenthesis, exponents, multiplication, division, addition, subtraction. Given two or more operations in a single expression, the order of the letters in PEMDAS tells you what to calculate first, second, third and so on, until the calculation is complete.PEMDAS is important because the order of operations is important! The order of operations is a set of rules for solving math equations and expressions with multiple operations. This set of rules ensures that all math equations are solved in the same way.The PEMDAS rule is a popular memory tool for recalling the math order of operations. The rule stands for P: Parenthesis, E: Exponents, M: Multiplying, D: Dividing, A: Adding, S=Subtracting. tells you what to calculate first, second, third and so on, until the calculation is complete.