Interactive Notebooks

Do NOT number your pages ahead of time. Table of Contents The table of contents will be on the first page of your spiral (front and back). Date Lesson Page # Unit 8/24 Multiplication Table 1 8/24 Divisibility Rules 2 Do NOT number your pages ahead of time.

Page 1 – Multiplication Table Put the page number in the top right corner.

Page 2 – Divisibility Rules A number is divisible by 2 if it ends in 2, 4, 6, 8 or 0 5 if it ends in 5 or 0 10 if it ends in 0 3 if the sum of the digits is divisible by 3 9 if the sum of the digits is divisible by 9 4 if the last two digits form a number that is divisible by 4 6 if the number is divisible by both 2 and 3 12 if the number is divisible by both 4 and 3

Table of Contents Date Lesson Page # Unit 8/24 Multiplication Table 1 Divisibility Rules 2 8/26 Place Value and Rounding 3 8/26 Order of Operations

Place Value and Rounding Numbers 1 7 , 5 3 2 . 8 4 6 2 Ten thousands Thousands Hundreds Tens Ones Tenths Hundredths Thousandths Ten thousandths

Place Values and Rounding Numbers Find your number, Look right next door. Five or higher, up the score. Four or lower, just ignore. Example: Round to the nearest tenth. 5 . 8 7 2 7 is higher than 5 so 8 rounds up. Answer: 5.9

Order of Operations (PEMDAS) Please Excuse My Dear Aunt Sally P (Parentheses) E Exponents MD Multiplication & Division Solve left to right AS Addition & Subtraction Solve left to right

Table of Contents Date Lesson Page # Unit 8/24 Multiplication Table 1 Divisibility Rules 2 8/26 Place Value and Rounding 3 8/26 Order of Operations 8/26 Decimal Operations 8/28 Fraction Operations

1. Add the numerators. 2. Keep the denominator. 3. Simplify if possible.

Find a common denominator. After you have the common denominator, follow the adding fractions rules.

1. Subtract the numerators. 2. Keep the denominator. 3. Simplify if possible.

Find a common denominator. After you have the common denominator, follow the subtracting fractions rules.

Important Notes: *Change all mixed numbers to improper fractions before multiplying. *All whole numbers have a denominator of 1.

Multiplying Fractions You do NOT need a common denominator to multiply fractions. Multiply numerators. Multiplying Fractions 2. Multiply denominators. 3. Simplify. 8 21 10 24 = 5 12

Keep Change Flip (KCF) Keep the first fraction the same. Change division to multiplication. Flip the last fraction to its reciprocal. Multiply fractions like normal.

You do NOT need a common denominator to multiply fractions. *Change all mixed numbers to improper fractions before multiplying. Dividing Fractions *All whole numbers have a denominator of 1. 1 2 8 1 = 8 2 x = 4

Table of Contents Date Lesson Page # Unit 8/24 Multiplication Table 1 Divisibility Rules 2 8/26 Place Value and Rounding 3 8/26 Order of Operations 8/26 Decimal Operations 8/28 Fraction Operations 8/31 Mixed Numbers and Improper Fractions

Mixed Numbers and Improper Fractions To change a mixed number to an improper fraction, think MAD Multiply…Add…Denominator

Mixed Numbers and Improper Fractions 3¼ = 4 x 3 +1 Denominator stays the same Multiply the denominator x the whole number Add the numerator 3¼ = 13/4

Mixed Numbers and Improper Fractions How do you change an improper fraction into a mixed number? Go around the world with division. 11 8 Divide numerator by denominator. Top dog goes in the house. 1 8 11 -8 3 Whole number 1 3 8 Denominator Numerator