** Chapter 3: Divide Whole Numbers and Decimals**** **

**Lesson 3.1: Relate Multiplication and Division**

**Dividend -** A number to be divided

**Divisor-** The number by which a dividend is divided**.**

**Quotient**- The answer to the division problem.

**Fact Family**- A group of related facts using the same number.

**Lesson 3.2: Explore Dividing by 1-digit Divisors**

**Remainder**- In division, a number that is left after the quotient is found.

**Lesson 3.5: Estimate Quotients**

**Compatible Numbers**- Numbers that can be divided mentally without a remainder.

**Lesson 3.9: Explore Dividing Decimals by Decimals**

**Power of 10**- A number obtained by raising 10 to an exponent.

** ****Chapter4: Data Statistics and Graphs**

## Lesson 4.1: Explore Collecting, Organizing and Displaying Data

**Data (datos) -** Collected information

** Frequency Table (tabla de frecuencia) **A way of organizing a set of data, showing the number of times each item or number appears.

**Frequency (frequencia) ** - the number of times a response occurs.

**Survey** (**encuesta) **a method to gather data that involves asking people questions.

**Line Plot** **(plano lineal) -** A graph that uses columns of X's above a nuber line.

## Lesson 4.2: Range, Mode, Median, and Mean

**Range** **(rango)**- The difference between the greatest andthe least number in a set of numbers.

**Mode** **(moda)-** The number that occurs most often in a set of numbers.

**Median (mediana)** - The middle number in a set of numbers arranged in order from least to geratest: if the set contains an even number of numbers, the median is the mean of the two middle numbers.

**Mean (media)** The quantity is found by adding the numbers in a set of numbers and dividing their sum by the number of addends.

## Lesson 4.3: Read and Make Pictographs

**Pictograph (pictograma)** - A graph that compares data by using symbols

## Lesson 4.4: Read and Make Bar Graphs

**Bar Graph** (**gráfica de barras)**- A graph that compares data by using vertical and horizontal bars.

**Axis (pl. Axes) (eje) -** The horizontal or vertical number line on a graph.

**Interval (intervalo) **- The difference between adjacent numbers on an axis of a graph.

**Double Bar Graph (gráfica de barros dobles)** - A bar graph that compares two related groups of data.

## Lesson 4.5: Read and Make Histograms

**Histogram (histograma)** - A bar graph that shows frequency of data within equal intervals.

## Lesson 4.6: Read and Make Line Graphs

**Coordinates (coordinadas)** - The umbers in an ordered pair.

**Ordered Pair (par ordenado)** - A pair of numbers that gives the location of a point on a graph.

**Plot (trazar)** - To graph a point on a coordinate plane.

**Line Graph** **(gráfica lineal) **- A graph that uses line segments to show changes in data.

## Lesson 4.9: Read and Make Stem-and-Leaf Plots

**Stem-and-leaf Plot (diagrama de tallo y hojas)** - An arrangement of numbers that separates the ones digits from the other digits.

**Stem (tallo)** - The digit or digits to the left of the ones digit of a number in a set of data.

**Leaf (hoja)** - A ones digit in a row of a stem-and-leaf plot.

## Lesson 4.10: Sampling

**Population (poblacíon)** - An entire group or set about which information is wanted.

**Sample (muestra)** - The part of a population that is used in a survey to represent the whole population.

**Representative Sample (muestra representativa)** - A sample that does not represent the entire population.

**Biased Sample (muestra no representativa)** - A sample that does not represent the entrie population.

**Random Sample (muestra al azar)** - A sample where each member in the population has an equal chace of being chosen.

## Chapter 5

## Lesson 5.1: Divisibility

**Divisible - (Divisible)** A whole number is divisible by another number when the first is divided by the second and the remainder is 0.

## Lesson 5.2: Explore Primes and Composites

**Prime Number (numero primo**) - A prime number is a whole number greater than 1 that is divisible only by itself and the number 1.

**Composite Number (numero compuesto**)- A composite number is a whole number greater than 1 that is divisible by more numbers than just itself and the number 1.

**Prime Factorization -(Factorization en numeros primos**)

**Factor Tree - (arbol de factores primos)**

## Lesson 5.3: Common Factors and Greatest Common Factor

**Common Factor(factor común) **A comon factor of two or more numbers is a whole number that is a factor of all the numbers.

**Greatest Common Factor(máximo común divisor) **The greatest common factor (GCF) of two or more numbers is the greatest whole number that is a common factor of the numbers.

## Lesson 5.4: Fractions

**Fraction(fracción) **A number that names part of a whole or part of a group.

**Numerator(numerador) **The number above the bar in a fraction: the part of a fraction that tells how many parts are being used.

**Denominator(denominador) **The number below the bar in a fraction; the part of the number that tells how many equal parts are in the whole.

**Equivalent Fractions(fracciónes equivalentes)** Two different fractions that name the same number.

## Lesson 5.6: Simplify Fractions

**Simplest Form**

## Lesson 5.7: Least Common Multiple and Least Common Denominator

**Least Common Multiple/ lcm (mínimo común múltiplo/mcm) - **The Least Common Multiple of two or more whole numbers is the least whole number greater than 0 that is a multiple of each of the numbers.

**Multiple (multiplo) **A multiple of a number is the product of that number and a whole number. For example, 15 is a muliple of 5 because 3x5=15.

**Least Common Denominator/lcm (minimo comun denominador)** The Least Common Denominator of two or more numbers is the least common multiple of the denominators of the fractions.

## Lesson 5.11: Mixed Numbers

**Mixed Numbers (numero mixto) **A number that combines a whole number and a fraction.

**Improper Fractions (fraccion impropria) **A fraction that has a numerator greater than its denominator.

## Chapter 6

## Lesson 6.1: Add and Subtract Fractions and Mixed Numbers with Like Denominators