FAQ Math 13

1. What Does Union Mean in Math?

In set theory, the union of two sets $A$ and $B$ is the set containing all elements that are in either $A$, $B$, or both. It’s denoted by $A \cup B$.

• Example: If $A = \{1, 2, 3\}$  and $B = \{3, 4, 5\}$ , then $A \cup B = \{1, 2, 3, 4, 5\}$ .

2. What Is a Composite Number in Math?

A composite number is a positive integer that has more than two factors. This means it can be divided by numbers other than 1 and itself.

• Example: 12 is a composite number because its factors are 1, 2, 3, 4, 6, and 12.

3. What Is a Constant Term in Math?

A constant term in an algebraic expression is a value that doesn’t contain any variables. It remains the same regardless of the values of other variables.

• Example: In the expression $3x + 7$ , the constant term is 7.

4. What Is a Flowchart in Math?

A flowchart in math is a visual representation of a sequence of steps or operations used to solve a problem. It uses arrows to show the flow from one step to the next and includes decision-making processes.

• Example: A flowchart for solving a quadratic equation might show steps like “identify coefficients,” “use the quadratic formula,” and “find the roots.”

5. What Is a Histogram in Math?

A histogram is a type of bar graph used to represent the distribution of numerical data. It shows how data is distributed over intervals (bins), with the height of each bar representing the frequency of data in that interval.

• Example: A histogram can show the number of students scoring within specific ranges in a test.

6. What Is a Mixed Number in Math?

A mixed number is a number that consists of an integer and a proper fraction.

• Example: $2 \frac{1}{2}$ is a mixed number, meaning 2 plus one-half.

7. What Is a Word Expression in Math?

A word expression in math is a mathematical phrase expressed in words instead of symbols.

• Example: “The sum of a number and five” represents the algebraic expression $x + 5$ .

8. What Is AA in Math?

AA in geometry refers to the Angle-Angle Similarity criterion, which states that two triangles are similar if two angles of one triangle are congruent to two angles of another triangle.

9. What Is Count On Facts in Math?

Count on facts refer to basic addition strategies where you start with one number and count forward by the other number. It’s commonly used to help young students with mental math.

• Example: To add 7 + 2, start at 7 and count on 2: 8, 9. The answer is 9.

10. What Does LCM Mean in Math?

LCM stands for Least Common Multiple, the smallest number that is a multiple of two or more numbers.

• Example: The LCM of 4 and 5 is 20, as it is the smallest number that both 4 and 5 divide evenly into.

11. What Is Number Disc in Math?

Number discs are physical or visual tools used in math to represent numbers, especially in place value systems. They are often used in elementary education to help students understand concepts like addition, subtraction, and place value.

12. What Is Parenthesis in Maths?

Parentheses are used in mathematics to group parts of an expression. Operations inside the parentheses should be performed first according to the order of operations (PEMDAS).

• Example: In the expression $3 \times (4 + 5)$ , calculate $4 + 5$  first to get 9, then multiply by 3 to get 27.

13. What Is Successor in Maths?

A successor of a number is the number that comes immediately after it. In natural numbers, the successor of any number $n$ is $n + 1$ .

• Example: The successor of 6 is 7.

14. What Is the Meaning of Length in Math?

Length refers to the measurement of the longest side or dimension of an object. It’s typically measured in units like meters, centimeters, feet, or inches.

15. What Is the Meaning of Relation in Math?

In math, a relation is a set of ordered pairs that describe a relationship between two sets of values. It shows how one element from the first set is related to an element in the second set.

• Example: In the relation $R = \{(2, 3), (4, 5)\}$ , 2 is related to 3, and 4 is related to 5.

16. What Is the Triangle Symbol in Math?

The triangle symbol (△) is often used to represent a triangle in geometry. In calculus, the delta symbol ($\Delta$ ) is used to denote change or difference, such as $\Delta x$  for the change in $x$ .

17. What Is Vertical Form in Math?

Vertical form refers to arranging numbers in columns when performing operations like addition or subtraction. Each place value is aligned vertically for easy calculation.

• Example: \begin{array}{c} 456 \\

• 328 \ \hline 784 \ \end{array} ]

18. What Level Should a Year 7 Be in Maths?

A Year 7 (or 6th/7th grade) student should typically be working on topics like:

• Basic algebra (solving simple equations).
• Fractions, decimals, and percentages.
• Geometry (angles, area, and perimeter).
• Introduction to probability and statistics.
• Ratios and proportions.

19. What Math Should a 2nd Grader Know?

A 2nd grader should typically know:

• Basic addition and subtraction facts (up to 20).
• Introduction to multiplication concepts.
• Understanding place value (ones, tens, hundreds).
• Simple word problems.
• Measuring length, time, and money.
• Introduction to geometry (basic shapes).

20. What’s the Same, What’s Different in Maths?

What’s the same, what’s different is a math activity or approach that helps students compare and contrast two or more mathematical objects, expressions, or figures. This method encourages students to observe patterns, similarities, and differences, promoting deeper understanding.

• Example: Compare two shapes by asking what is the same (e.g., both are polygons) and what is different (e.g., one has three sides and the other four).