### Add, subtract, multiply and divide decimals and fractions; comparing and ordering rational numbers; graphing on coordinate grids including rational numbers

Decimal Numbers from Ms Garcia on Vimeo.

**Add/Subtract decimals.**(1) Align your decimal point and

place value.

(2) Write place keepers if needed

(3) Add or subtract

(4) Keep your decimal point.

Introduction to Percentages from Ms Garcia on Vimeo.

**Adding/Subtracting Fractions**.

**Simplify**(reducing).

**Multiplication of Fractions.**

**Division of Fractions.**

**Mixed Number. **Whole numbers followed by fractions

**Improper Fractions.**Are fractions that have a numerator (top larger than the denominator (bottom)

**Conversions:**

**Mixed Number to Improper Fractions**.

**Improper Fractions to Mixed Number.**

**Comparing and Ordering decimals. **

Align decimal points and place values**, **write a place keeper if needed. (Pretend it’s money)

**Percents.**Means “per 100”. Percents can be written as fractions by placing the number over 100 and simplifying.

**Percents.**Percents can be written as decimals (1) moving the

**Percent formula**

Example: 4% of 50 is____

Example: 10% of X is 15, find X

**Percent change**

Percentage change between two numbers A & B can be calculated as:

(B-A)/A * 100

For example, if a game price increases in value from $10 to $12

the percentage increase is:

(12-10)/10 * 100 = 2/10 *100 = 0.2*100 = 20 percent

Alternatively, if a game price decreases in value from $10 to $9 the

percentage decrease is:

(10-9)/10 * 100 = 0.1*100 = 10 percent

**Convert Fractions, Decimals, Percents**

*decimal*divided by 1

*Multiply*its

*numerator and denominator*

by the same number (10, 100, 1000, ..)

To convert a decimal to a percent, multiply the decimal by 100,

then add on the % symbol.

C**onversion. **Use the math chart. Do a proportion to solve.

**Essential Questions:**

How do I explain the meaning of a fraction and its numerator and denominator, and use my understanding to represent and compare fractions?

What strategies can be used to solve estimation problems with common and decimal fractions

**Learning Targets:**

Apply and extend previous understandings of multiplication and division to divide fractions by fractions

Solve word problems involving division of fractions by fractions.

Represent the context of a fraction word problem using a variety of models

**Vocabulary:**

decimal

place value

round

percentage

numerator

denominator

fraction

common fraction

proper fraction

improper fraction

mixed numeral

unit fraction

lowest common multiple

equivalent

**“I can” Statements**

I can add, subtract, multiply and divide rational numbers (including fractions and mixed numbers, with like denominators o with unlike denominators, with/without regrouping).

I can change freely between improper fractions and mixed numbers.

I can recognize if my answer is reasonable using estimation.

I can apply the commutative, associative, and distributive properties appropriately in multiplying and dividing rational numbers.

I can represent addition and subtraction on horizontal and vertical number lines.

I can subtract a rational number by adding its opposite (additive inverse).

I can use the absolute values of numbers on a number line to illustrate both addition and subtraction.

I can apply the properties of operations (commutative, associative, and distributive) to add and subtract rational numbers.

I can convert a fraction to a decimal using long division.

I can explain the difference between a rational and an irrational number.

I can add and subtract rational numbers in real-world situations.

I can use the four operations to solve problems involving rational numbers.

I can convert between whole numbers, fractions, and decimals.

I can estimate and compute in my head to determine whether an answer makes sense.