240 math

Question 1

statistical question

Answer 1

a question that can be answered by collecting data where there is variability in the data. The answer to the question will be a percent, range, or average

Question 2

Statistical experiments

Answer 2

They are trials of an event that has more than one probability-based outcome. An example of a statistical experiment is a coin toss.

Question 3

normal distribution

Answer 3

a graph with a bell-shaped curve, where the graph is symmetric and has no skew.

Question 4

Mean

Answer 4

is found by adding all of the numbers in a data set and dividing that sum by the number of numbers (the n) in the data set

Question 5

Median

Answer 5

is found by first putting all the numbers in order from least to greatest. The median is either the middle number of a set that has an odd quantity of values, or, when there is an even number of values, the median is found by calculating the mean of the middle two numbers.

Question 6

Mode

Answer 6

is the most frequent number in a data set.

Question 7

Range

Answer 7

The difference between the highest data value and the lowest data value.

Question 8

One-variable data

Answer 8

data that relates to only one attribute.

Question 9

Formal reasoning

Answer 9

used to answer questions and solve problems that have a single solution

Question 10

Informal reasoning

Answer 10

used to answer questions and solve problems that are complex and open-ended (without a definitive solution) by using everyday knowledge to synthesize information and reach a conclusion.

Question 11

Homogeneous groups

Answer 11

are composed of students on similar levels with similar academic needs. They are used for targeting specific skills or learning styles.

Question 12

Heterogeneous groups

Answer 12

are composed of students working on various levels with varying academic needs. They are used for accomplishing shared tasks or goals.

Question 13

Flexible grouping

Answer 13

is a fluid grouping strategy based on students’ needs.

Question 14

culturally responsive teaching

Answer 14

is an approach that recognizes the importance of including students’ cultures in all aspects of learning

Question 15

English-Language Learners (ELL).

Answer 15

students who are learning the English language, or for whom English is not a first language,

Question 16

Backward design/planning

Answer 16

is the approach to lesson planning where a teacher starts with the goal (usually an objective derived from the state standards) and works backward to identify all skills and activities needed to ensure student success.

Question 17

Concrete stage

Answer 17

introduce and model a concept using physical manipulatives

Question 18

Representational stage

Answer 18

replace the physical manipulatives with pictures and/or symbols. This is sometimes called the Symbolic or Pictorial stage.

Question 19

Abstract stage

Answer 19

replace the symbols with proper numbers and mathematical notations

Question 20

learning styles

Answer 20

are three main ways that students learn

Question 21

Auditory

Answer 21

Learn by hearing

Question 22

Visual

Answer 22

Learn by seeing

Question 23

Tactile / Kinesthetic

Answer 23

Learn by touch or movement

Question 24

measurement

Answer 24

is a number that shows the size or amount of something.

Question 25

Measurable attributes

Answer 25

which are characteristics that can be assigned a size (or magnitude)

Time, length, temperature, volume, mass

Question 26

Types of units

Answer 26

English units

Inches/feet, ounces/pounds, quarts/gallons

Metric units

Meters/kilometers, milligrams/grams, liters/milliliters

Question 27

Error

Answer 27

is a numerical value that tells us how far “off” a measurement is compared to the correct or accepted value.

Question 28

approximation

Answer 28

occurs when a student uses numbers that are similar, but not exactly equal to, the actual dimensions.

Question 29

spatial reasoning

Answer 29

Spatial reasoning is the ability to think about how things appear in real life.