Chapter 4: Rational Numbers and Fractions

Group Work – Teams of 3 Your groups will conduct surveys to at least 20 students. You will create your own survey, asking at least 10 questions. Answer types could include: Yes or No Like or Dislike A scale of 0-5 Favorites

MondayTuesdayWednesdayThursdayFriday Nov.23 Chapter 4 - Introduction 24 Lesson 1 & 2 – Proper, Improper and Mixed Numbers 25 Homework: Pg , Pg EVEN 2:30 Dismissal 26 No School – Thanksgiving 27 No School – Thanksgiving 30 Lesson 3 – Equivalent Fractions Homework: Pg #1-20 Dec. 1 Lesson 4 – Simplest Form Homework: Pg. 95 # QUIZ 1 st Team Meeting 3 Lesson 5 – Comparing and Ordering Fractions Homework: Pg # Lesson 6 & 7 – Like and Unlike Denominators Homework: Pg #2-24 even Pg #2-24 even 7 Lesson 8 – Subtracting Fractions with Regrouping Homework: Pg QUIZ 2 nd Team Meeting 9 Lesson 9 – Multiplying Fractions and Mixed Numbers Homework: Pg Lesson 10 – Dividing Fractions and Mixed Numbers Homework: Pg Chapter Review Pg. 117 – 119 all 14 Supplementary Problems all 15 Begin review for Semester Exam 16 Review for Semester Exam 17 Review for Semester Exam 18 Review for Semester Exam 21Semester Exams HR1- 4 Exam Ch 1-4 Projects Due 22 Semester Exams HR No School – Begin break 24 No School – Christmas Eve 25 No School – Christmas Day

To learn proper and improper fractions and mixed numbers To write equivalent fractions To express fractions in their simplest form To compare and order fractions To add and subtract fractions and mixed numbers with like or unlike denominators To multiply and divide fractions and mixed numbers

Vocabulary – Proper Fraction – Improper Fraction – Mixed Number -

Shade each shape using the given fraction. What part is shaded red?

TO change an improper fraction to a mixed number, DIVIDE

To change a mixed number to an IMPROPER FRACTION Step 1: Multiply the WHOLE NUMBER by the DENOMINATOR Step 2: ADD the NUMERATOR

Lesson 1 & 2 – Proper, Improper and Mixed Numbers Homework: Pg , Pg EVEN

Name the same amount but have different numerators and denominators. =

==

= =

1 2 =

3 4 =

2 3 =

1 2 ==

1 2 = =

1 2 =

3 4 =

2 3 =

Multiply the numerator and the denominator by the same number x =

Divide the numerator and the denominator by the same number ÷ =

Lesson 3 – Equivalent Fractions Homework: Pg #1-20

First, lets recall finding the GCD (Greatest common Divisor) GCD (9,21) GCD (10,15) GCD (30,36)

Express each fraction in lowest terms using the GCD method.

Lesson 4 – Simplest Form Homework: Pg. 95 #1-25 Tomorrow: QUIZ 1 st Team Meeting

Activity – Creating fraction strips. 1 st – Fold your paper in half. Label the crease ½. 2 nd – Fold your paper into halves twice. Label these ¼ and ¾. 3 rd – Fold your paper into fifths. Continue as instructed…

In order to compare and order fractions, they need to have the same denominator. To change unlike fractions to like fractions we use MULTIPLICATION and LCM (Least Common Multiple).

Lesson 5 – Comparing and Ordering Fractions Homework: Pg #1-25

Important Side Notes: In algebra, 1x and x are the same value. You will see several letters written without the 1 present. 1m = m 1p = p K = 1k X = 1x Recall that the fraction bar that separates a numerator from a denominator means “DIVIDE”

When fractions have the same denominator, all you have to do is ADD or SUBTRACT the numerator.

Lesson 6 & 7 – Like and Unlike Denominators Homework: Pg #2-24 even Pg #2-24 even

Lesson 8 – Subtracting Fractions with Regrouping Homework: Pg Tomorrow: QUIZ 2 nd Team Meeting

Quick Recap: Changing Mixed Numbers to Improper Fractions:

Unlike addition and subtraction, when you multiply fractions: you DO NOT NEED a common denominator. you DO NOT write them up and down. you DO MULTIPLY LEFT TO RIGHT! Numerators and Denominators. ALWAYS SIMPLIFY

Lesson 9 – Multiplying Fractions and Mixed Numbers Homework: Pg

Vocabulary – Reciprocal – the reciprocal of any non-zero number 3 is 1/3, sometimes called the multiplicative inverse of that number. What is the reciprocal of ½? What the is reciprocal of y/3? What is the reciprocal of 5?

1 st – Always make sure that you change any mixed numbers to improper fractions. 2 nd – always reciprocate the 2 nd fraction, and multiply. 3 rd – You may have to SIMPLIFY. DO NOT LEAVE any IMPROPER FRACTIONS!

Lesson 10 – Dividing Fractions and Mixed Numbers Homework: Pg