Agenda Warm Up - 8/30/17 Grab BOTH pages EQ: Can I fluently add and subtract fractions? Homework: Rational Number Practice due tomorrow Summarize Notes Skills HW due 9/1 6 weeks calendar Quiz 9/1 Grab BOTH pages Complete decimal problems from back of your notes yesterday.

Warm Up What do you call the top and bottom numbers in a fraction? In order to add or subtract what is the one thing you must have? What is a common denominator and how do you find one? If the problem has a mixed number, what should you do first? How do I change a mixed number into an improper fraction? What if my answer is an improper fraction, how should I complete the problem?

First of all, what makes up a Fraction? A fraction has two parts to it: A Numerator (the top number) And a Denominator (the bottom number)

Common Denominator Before you can add or subtract fracitons you need a “common denominator”. This means the bottom numbers of each fraction must be the same. ½ + ¾ Cannot be added together... Yet. 2/4 + ¾ Can be added because the denominators are “common” (the same)

Can These Be Added or subtracted? ¾ + ¼ ½ + 5/8 3 ¼ - 1 ¼ 1 ½ + 3 ½ 10 3/16 + 3 5/8 1 ½ - ¾ 15/16 – 3/16 YES NO

Find a common denominator 7 8 𝑎𝑛𝑑 1 3 2 7 𝑎𝑛𝑑 9 11 1 3 4 𝑎𝑛𝑑 5 2 3 12 21 𝑎𝑛𝑑 6 7 21 24 𝑎𝑛𝑑 8 24 22 77 𝑎𝑛𝑑 63 77 1 9 12 𝑎𝑛𝑑 5 8 12 12 21 𝑎𝑛𝑑 18 21

Mixed Numbers to improper fractions Multiply the denominator by the whole number. Add the numerator and put back over the denominator. 3 4 7 = 2 9 11 =

Simplifying 49 8 4 8

Adding Fractions All rules about adding and subtracting negative numbers still apply. Only add the numerators! Step 1: Find common denominator Step 2: Add or subtract numerators using the addition rules Step 3: Simplify answer

Adding Fractions 4 2 3 + − 7 9 = − 3 4 + − 1 8 = −2 2 5 + − 1 15 = − 1 2 + 13 14 = I always must have a common denominator before I can add or subtract fractions. Rule 1: If the signs are the same I add and keep the sign Rule 2: If the signs are different I subtract and keep the sign of the larger number.

Subtraction All rules about adding and subtracting negative numbers still apply. Only add the numerators! Step 1: Find common denominator Step 2: Use subtraction rule to make an addition problem if 1st number is not larger Step 3: Follow addition rules and only add or subtract numerator Step 4: Simplify answer

Subtracting Fractions − 13 36 − 7 18 = −3 3 4 − − 15 16 = 1 3 8 − − 1 4 = −2 1 7 − 2 3 = I always must have a common denominator before I can add or subtract fractions. Rule: ADD THE OPPOSITE Once I change the problem to addition I use the addition rules to complete my problem.

Homework DO NOT solve the problems Write out the steps you would take to solve it #1 is an example

𝟎.𝟒𝟒+ −𝟕 −𝟏 𝟏 𝟓 = Agenda Warm Up - 8/31/17 Grab BOTH pages EQ: Can I fluently add and subtract rational numbers? Homework: Practice Problems Study for Quiz Skills HW due 9/1 6 weeks calendar Quiz 9/1 Grab BOTH pages Complete the problem below on your square of paper. 𝟎.𝟒𝟒+ −𝟕 −𝟏 𝟏 𝟓 =

Scavenger Hunt Start at card assigned to you. Work out the problem on the card, once you get an answer, it should be at the top of another card (if you can’t find it, then your answer is incorrect). Go to the card with your answer and work on that problem next. Repeat this process until you are done or the bell rings.

Agenda Warm Up – 09/01/17 EQ: Can I fluently add and subtract rational numbers? Homework: Organize math section Turn in skills HW only Have out practice problems ready to grade

Quiz Time Put in turn in box when done