Math Unit 1 For math each day you

Math Unit 1

For math each day you will need… • • • Math notebook Math workbook Pencil Eraser Practice book near by

Math Warm-Up • Write the following number in your math notebook: 7, 439, 521 With a marker, crayon, or colored pencil do the following: Put a blue box around the number in the hundred thousands place value Put a yellow star over the number in the tens place value Put a red circle around the number in the millions place value Put a green X over the number in the ten thousands place value

7, 439, 521

How many? • How many hundreds are in 50 tens? • How many thousands are in 30 hundreds? • __6____tens 12 ones= 7 tens and 2 ones

Place Value Cubes

Vocabulary 1. 1 • Times as much=answer will be smaller than the number • (fraction) of =answer will be bigger than the number

Math Warm-up 1. 2 Polly told her friend that she saw an even number that had the same digit in the tens and thousands places. Which number could she have seen? 456, 568 456, 352 646, 228 654, 645

Power of 10 What multiplication problems can you create that equal the following numbers? • 300 • 4, 000 • 8, 000 • 10, 000 • 600, 000

Let’s try it together Please open your book to page 11

Try on your own • Working with a partner, or alone, please complete pages 11 and 12

Math Warm-up 1. 3 • Jacob, Kylie, and Manuel each bought a sandwich and a drink. The total bill came to $21 and each drink cost $2. If each sandwich cost the same amount, what is the cost of 1 sandwich?

Properties of Addition Commutative Property: If the order changes, the sum stays the same. 12+7=7+12

Associative Property means if the grouping of addends changes, the sum stays the same. 5+(8+14)=(5+8)+14

Identity Property The sum of any number and 0 is that number 13+0=13

Properties of Multiplication Commutative property of multiplication means if the order of factors changes, the product stays the same. 4 x 9=9 x 4

Associative Property The associative property means if the order of the factors changes, the product stays the same. 11 x(3 x 6)=(11 x 3)x 6

Identity Property means if the product of any number and 1 is that number. 4 x 1=4

Properties Song

In your book… • In your book, please complete pages 15 and 16 • Homework tonight will be pages 7 and 8 in your practice book.

Math Warm-up 1. 4 A museum guide provides 10 brochures telling about the museum’s history to each tourist group. If 12 groups visited today, how many brochures were distributed?

Powers of 10 and Exponents Expressions with repeated factors such as 10 x 10 x 10 can be written by using a base with an exponent. The base is the number that is used as the repeated factor. The exponent is the number that tells how many times the base is used as a factor.

Try this…

Try this…

Try this… Mark answers a question on a math test. He thinks is 12. Is he correct?

In your book Please complete pages 17, 18, 19, and 20 in your Go Math book. Homework: pages 9 and 10

Math Warm-Up 1. 5 Liz bought 4 pairs of jeans for $35 each. How much did she spend?

Unlocking Patterns A problem like 300 x 20 can seem tricky to solve at first, but it is actually very easy. The basic fact in the problem is 2 x 3. Once you figure out the basic fact, you simply add the zeros from the equation to the answer. 300 x 20= 6000

Try this… In your notebook, try these problems (or in your head if you can!) • 50 x 100 • 200 x 400 • 50 x 400 • 3 x 500 • 20 x 10

In your book… Please complete pages 22 and 23 Homework: pages 11 and 12

Mid-Chapter Checkpoint! In your book, please complete the mid-chapter checkpoint on pages 25 &26

Math Warm-Up 1. 6 Please round both 5, 678, 309 and 1, 234, 478 to the nearest thousand.

Estimating How can you double check your math without getting a calculator? One way is to estimate the answer.

Let’s Practice Estimate the answer to the following problems: 1) 2) 3) 4) 5) 58 x 9 77 x 3 38 x 7 21 x 5 62 x 6

In your book… In your book, please complete pages 29 and 30. Homework: pages 13 and 14.

Flip 3! 1) Remove all picture cards from the deck (kings, queens, jacks) 2) Shuffle the number cards and lay them face down on the carpet or table. 3) Player 1 flips 3 cards and tries to make a math problem with those numbers. If they succeed, they keep the 3 cards. If they fail, they turn the 3 cards over in the same location. 4) Player 2 does the same. Whoever has the most cards at the end wins!

Warm-up 1. 7 How many digits will be in the product 5, 672 x 5?

Tigers!

Tigers can eat up to 40 pounds of food at a time, but they may go several days without eating. Suppose a tiger eats 18 pounds of food per day. How much food will the tiger in 28 days if he eats that amount each day?

Estimate First! If you estimate the answer first, it is very easy to check your work once you are finished. For our problem 18 x 28 what would you estimate the answer to be? 18 is very close to_______ 28 is very close to_______X_______=______

Now, go forth and multiply! When multiplying two digit numbers, you start with the ones column first. Then, the tens column multiplied by the ones column on the bottom. Write your answer bellow the probem. 28 x 18

Multiply! Next, you will add a zero below the answer. This is because we are now going to multiply the tens column, and that helps us to keep our place values accurate. 28 x 18 224 0

Multiply! Now that we have two partial sums, we need to add them together to find our answer. 28 x 18 224 +280

More practice Siberian tigers sleep 18 hours per day, or 126 hours per week. About how many hours do tigers sleep per year? 126 X 52

Estimate first 126 is close to ______ 52 is close to_______x____=_____ Our answer will be near____

Now, multiply! Start with the ones column. 126 x 52

Multiply Now, multiply the tens column on the bottom. Don’t forget to add the zero to hold keep the place value accurate! 126 X 52 252 0

Add Now, add the two partial sums together to find your answer! 126 X 52 252 +6300

Now, you try… 34 X 87 96 x 24 65 x 79

In your book… Please complete pages 33 and 34 in your Go Math book. Homework pages: 15 and 16

Warm-up 1. 8 A number pattern is shown below: 4, 8, 16, 32, … What is the pattern?

Solve Joel and 5 friends collected 126 marbles. They shared the marbles equally. How many marbles will each person get? What is an equation we can create to solve this problem?

Solve We can use both multiplication and division to solve this problem. Multiplication and division are inverse operations. J OE L F F F R R R I I I E E E N N N D D D

Inverse Operations Mathematical operations that perform the opposite function. *Addition and Subtraction *Multiplication and Division

Practice On page 35, please complete the array and problems in the box.

Distributive Property You can also use the distributive property to solve division problems. For example: 52 divided by 4 Can also be written 4 x____=52 What is the easiest x 4 problem you can think of? 4 x 10=40 40 + 12 =52 How can we complete it? 4 x 10 + 4 x 3 10+3=13

You try… 70 divided by 5 5 x___=70 5 x_____+5 x____=70 ___+___=___

You try… 96 divided by 6 6 x___=96 6 x_____+6 x____=96 ___+___=___

You try… 85 divided by 5 5 x___=85 5 x_____+5 x____=85 ___+___=___

In your book… Please complete pages 37 and 38 Homework: 17 and 18

Warm-Up 1. 9 Derek collected ¾ of the state quarters. What is a fraction is equal to ¾?

Essential Question How can you use the strategy “solve a simpler problem” to help you solve a division problem?

Dog Shelter Mark works at an animal shelter. To feed 9 dogs, Mark empties eight 18 ounce cans of dog food into a large bowl. If he divides the food equally among the dogs, how many ounces of food will each dog get? * Open your books to page 39.

First, multiply Start by finding the total number of ounces of dog food in the big bowl. 18 x 8

Now, divide Next, we need to divide the number of ounces in the big bowl by 9. 144 divided by 9

Distribute to solve To solve this division problem in our heads, we need to break the number down into easier parts. 144 can also be written as 90 +54 (90 divided by 9) + (54 divided by 9) 10+6=16

Try this… Michelle is building shelves for her room. She has a plank that is 137 inches long. She wants to cut it into 7 shelves that are equal length. The plank has jagged edges, so she will start by cutting 2 inches off each end. How long will each shelf be?

What do you need to find? First, we need to find the length of each shelf with the two inches cut from each side. 137 -2 -2=133 inches

What information do you need to use? Now that we know the length being divided, we need to divide it by 7 to find out how long each shelf will be. 133 divided by 7

Solve 133 divided by 7 can be solved with the distributive property. 133 divided by 7 (70+63) (70 divided by 7) + (63 divided by 7) 10+9=19

In your book… Please complete pages 41 and 42 Homework: pages 19 and 20

Warm-Up 1. 10 Jerome buys 3 gallons of milk and 2 loaves of bread at the grocery store. Each gallon of milk costs $2 and each loaf of bread costs $4. How much money does Jerome spend at the grocery store?

Essential Question How can you use a numerical expression to describe a situation?

Numerical Expression A numerical expression is a mathematical phrase that has numbers and operations, but does not have an equal sign.

Try this Tyler caught 15 small bass and his dad caught 12 small bass in the Memorial Bass Tourney in Tidioute, PA. Write a numerical expression to represent how many fish they caught in all.

Open your book to page 43 Please complete the examples.

In your book Please complete pages 44, 45, and 46. Homework: pages 21 and 22

Warm-up 1. 11 A small movie theater has 126 seats arranged in 9 equal rows. How many seats are in each row?

Essential Question In what order must operations be evaluated to find the solution to a problem?

Evaluate To find the value of

Order of Operations The order of operations tells you in what order you should evaluate an expression.

Order of Operations A cake recipe calls for 4 cups of flour and 2 cups of sugar. To triple the recipe, how many cups of flour and sugar are needed in all?

Order of Operations PEMDAS P-Parenthesis E-Exponents M-Multiplication A- Addition S- Subtraction

Math Antics

Order of Operations

Order of Operations Each batch of cupcakes Lena makes uses 3 cups of flour, 1 cup of milk, and 2 cups of sugar. Lena wants to make 5 batches of cupcakes. How many cups of flour, milk, and sugar will she need? Write the numerical expression and solve.

Try this… Rewrite the expression with parenthesis to equal the give value. • 6 + 12 x 8 – 3 (value 141) • 5 + 28 ÷ 7 – 4 (value 11)

In your book Please complete pages 49 and 50 Homework: pages 23 and 24

Warm-up 1. 12 Which expression is 5 times as large as the expression 2345+132? A) 5 -(2, 345+132) B) 5 ÷(2, 345+132) C) 5+ (2, 345+132) D) 5 x (2, 345+132)

Essential Question? In what order must operations be evaluated to find a solution when there are parenthesis within parenthesis?

Unlock the Problem Mary’s weekly allowance is $8 and David’s weekly allowance is $5. Every week they each spend $2 on lunch. Write a numerical expression to show many weeks it will take them together to save enough money to buy a video game for $45.

Using Parenthesis and Brackets You can use parenthesis and brackets to group operations that go together. Operations in parenthesis and brackets are performed first.

Step 1 Write an expression to show much Mary and David save each week. Mary get $8 and spends $2. ($8 -$2) David gets $5 and spends $2. ($5 -$2) How much do Mary and Dave save together each week? ($8 -$2)+($5 -$2)

Step 2 Write an expression to represent how many weeks it will take Mary and David to save enough money for the video game. $45 ÷ [ ($8 -$2) + ($5 -$2)]

Try this… John gets $6 for his weekly allowance and spends $4 of it. His sister Tina gets $7 for her weekly allowance and spends $3 of it. Their mother’s birthday is in 4 weeks. If they spend the same amount each week, how much money can they save together in that time to buy her a present?

Try it… Write the problem using parenthesis and brackets. 4 x [($6 -$4)+($7 -$3)] 4 x[____+____] 4 x____

In your books Please complete page 52, 53, and 54 Homework: pages 25 and 26