Math Message Lesson 1 . 1 Browse through your journal. Then read “Welcome to Fifth Grade Everyday Mathematics,” on page 1 in your journal. Unit 1 - EDM

L.G. Familiarize yourself with your Student Reference Book Unit 1 - EDM

Math Message Lesson 1 . 2 Read page 10 in your SRB. Then draw a rectangular array made up of 12 dots. You may use counters to help you. Unit 1 - EDM

L.G. Rectangular Arrays Each row has the same number of parts Each column has the same number of parts Each array has a rectangular shape. Unit 1 - EDM

 Take out six counters (rainbow cubes) Arrange the six counters in a rectangular array  Number model - 2 * 3 = 6 2 rows by 3 columns = 6 Unit 1 - EDM

Commutative Property The order in which two numbers are multiplied makes no difference. For example, 2 * 3 = 6 and 3 * 2 = 6 Also called the “turn around rule” Unit 1 - EDM

Math Message Lesson 1 . 3 Take a sheet of dot paper. Use counters (rainbow cubes) to make all possible arrays of 15 objects. Record the arrays on the dot paper. Write a number model for each array. Unit 1 - EDM

L.G. Factors Factor Product Factor Pair 3 * 5 = 15 Factors Product Unit 1 - EDM

Find all of the factors for 18 1 * 18 = 18 18 * 1 = 18 2 * 9 = 18 9 * 2 = 18 3 * 6 = 18 6 * 3 = 18 Factors of 18 are: (1, 2, 3, 6, 9, 18) Unit 1 - EDM

Math Message Lesson 1 . 4 Which of the following number are factors of 36? 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 Unit 1 - EDM

L.G. Finding Factors of a Number Multiplication and division are related They are opposites If you know your multiplication facts, you know your division facts We can find factors of a number by checking for divisibility Unit 1 - EDM

Divisibility – a number is divisible by another number if the result of division is a whole number. Is 8 a factor of 48? Is 4 a factor of 30? Unit 1 - EDM

Solve problems 1 and 2 at the top of journal page 12. Math Message Lesson 1 . 5 Solve problems 1 and 2 at the top of journal page 12. Unit 1 - EDM

Divisibility L.G. A number is divisible by a whole number is the remainder in the division is zero and the quotient is a whole number. We can use a calculator to test for divisibility Example: 27 is not divisible by 5 because 5.4 is not a whole number. Unit 1 - EDM

Divisibility Tests - 2 A number is divisible by 2 if it ends in 0, 2, 4, 6, or 8. We also call those numbers even numbers. 44, 12, 28, 62, 108, 256, 80 Unit 1 - EDM

Divisibility Tests - 3 A number is divisible by 3 if the sum of its digits is divisible by 3. Example: 237 2 + 3 + 7 = 12 1 + 2 = 3 410 4 + 1 + 0 = 5 Unit 1 - EDM

Divisibility Test - 6 A number is divisible by 6 if it is divisible by both 2 and 3. 426 Is it even? Yes 4 + 2 + 6 = 12 1 + 2 = 3 Unit 1 - EDM

Divisibility Test - 9 A number is divisible by 9 if the sum of its digits is divisible by 9. Example: 198 1 + 9 + 8 = 18 1 + 8 = 9 429 4 + 2 + 9 = 15 1 + 5 = 6 Unit 1 - EDM

Divisibility Tests – 5 A number is divisible by 5 if it ends in a 5 or a 0. Example: 25, 30, 105, 1260 Unit 1 - EDM

Divisibility Tests – 10 A number is divisible by 10 if it ends in a zero. Example: 10, 20, 1450, 370 Unit 1 - EDM

Math Message Lesson 1 . 6 Draw all the arrays possible for these numbers: 4, 10, 16. Draw all the arrays possible for these numbers: 2, 5, 11. Unit 1 - EDM

L.G. Prime and Composite Numbers A prime number has exactly two factors – 1 and the number itself. A composite number has more than two factors. The number one is neither prime nor composite. (It has only one factor.) Unit 1 - EDM

Prime or Composite? 25 17 Unit 1 - EDM

Math Message Lesson 1 . 7 Use the rainbow cubes. Try to make a rectangular array that has an equal number of rows and columns for each of the following numbers: 14 16 18 Unit 1 - EDM

L.G. Square Numbers Has the same number of rows and columns Has an odd number of factors Can be written using an exponent 42 4 * 4 = 16 Unit 1 - EDM

Exponents and Base Numbers 42 base number Unit 1 - EDM

Math Message Lesson 1 . 8 Find the numbers n and m that make these statements true: n * n = 4 m2 = 81 Unit 1 - EDM

L.G. Unsquaring Numbers Solving m2=81 is unsquaring a number. What number multiplied by itself is equal to 289? After unsquaring a number, the result is called the square root. Unit 1 - EDM

Unsquaring More Numbers What number when multiplied by itself equals 49? What number when multiplied by itself equals 25? What number when multiplied by itself equals 36? Unit 1 - EDM

Unsquaring More Numbers (calculator) 196 441 676 900 1024 1849 Unit 1 - EDM

Math Message Lesson 1 . 9 8 + 8 and 4 * 4 are two names for the number 16. Write at least five other names for 16. Unit 1 - EDM

L.G. Factor Strings and Prime Factorization Factor Strings 24 = 3 * 2 * 4 12 = 2 * 3 * 2 How can we make the longest factor strings? Unit 1 - EDM

180 10 18

180 10 18

180 18 10 5 2 6 3

180 18 10 5 2 6 3 3 2

180 = 2 * 5 * 2 * 3 * 3 180 = 22 * 32 * 5 Prime Factor String Prime Factorization using Exponential Notation 180 = 22 * 32 * 5 Unit 1 - EDM

Please complete the Time to Reflect questions on journal page 27.  Math Message Lesson 1 . 10 Please complete the Time to Reflect questions on journal page 27.  Unit 1 - EDM