Problem Solving

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Mathematics: Problem Solving GCSE

22 Terms

1

Problem solving

is the process of finding a solution to a question or a situation.

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2

Five Step Process

Step 1: What is Asked?

Step 2: What is Given?

Step 3: Determine the operation to be used

Step 4: Write the number sentence

Step 5: Perform the Operation and Write the Complete Answer

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3

Units

include units in your final answer where applicable (e.g., miles per hour, pounds, etc.).

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4

What is Asked?

The first step is to understand what the problem is asking. This involves identifying the key question or objective that is needed.

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5

What is Given?

The second step is to identify the information provided in the problem.

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6

Determine the operation to be used

The third step is to determine the appropriate mathematical operation(s) required to solve the problem.

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7

Write the number sentence

It involves translating the problem into a mathematical equation or expression.

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8

Number sentence

Is a mathematical equation or expression

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9

Perform the Operation and Write the Complete Answer

This step involves calculating the result and ensuring that the answer is presented in the correct units and context.

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10

Addition

is the process of finding the total or sum by combining two or more numbers.

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11

Subtraction

is the process of finding the difference between two numbers by taking one number away from another.

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12

Multiplication

is the process of finding the total by combining a number a certain number of times.

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13

Division

the process of splitting a number into equal parts or groups.

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14

Exponent

An exponent indicates how many times a number, called the base, is multiplied by itself

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15

Square root

The square root of a number is a value that, when multiplied by itself, gives the original number.

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16

Order of operations

  1. Brackets first

  2. Indices or exponents

  3. Division and Multiplication

  4. Addition and Subtraction

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17

Correct mathematical symbols

use the right symbol. (e.g. plus, minus, multiply, divide)

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18

Correct equation

Write down the equation in a clear and organized manner.

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19

Check your equation

to ensure it reflects the problem accurately.

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20

Perform the calculations

carefully perfom either manually or using a calculator.

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21

Double-check

Always double-check your calculations to ensure accuracy.

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22

Complete Answer

Write a clear and complete answer that fully addresses the question.

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