UNIT 1 NUMBERS Numbers PLACE VALUE PAGE 46

UNIT 1 NUMBERS

Numbers -PLACE VALUE (PAGE 46 -54) --MULTIPLES (PAGE 55 -58) -PRIME AND COMPOSITE (PAGE 59 -62) -FACTORS (PAGE 63 -66) -ORDER OF OPERATIONS (PAGE 70 -73)

Place Value (Page 46 -54) https: //www. youtube. com/watch? v=omk. DLmfvetk https: //www. youtube. com/watch? v=q. Og. WFBVdots https: //www. youtube. com/watch? v=T 5 Qf 0 q. SSJFI

Place Value (Page 46 -54) Please copy this chart into your notes. Think of each section as a house.

Place Value (Page 46 -54) Please copy this chart into your notes. Let’s look at Page 47 in your

Place Value (Page 46 -54) �When reading numbers you start from the first number on the left and read them as they appear in their house and then use their last name. �Example: 23 456 = twenty three thousand, four hundred fifty six. �You can write numbers in three different ways: �Standard form: 23 456 �Expanded form: 20 000 + 3000 + 400 + 50 + 6 �Number-Word form: twenty three thousand, four hundred fifty six OR 23 thousand 456.

Practice Ø Write the following numbers in expanded and number-word form: - 234 -3567 -45 678 -906 571 Ø Write the following numbers in standard and number-word form: - 500 + 70 + 9 - 40 000 + 500 + 60 + 4 - 5 000 + 400 000 + 70 000 + 3 000 + 90 Ø Write the following numbers in standard and expanded form: Ø Five million, three hundred thirty five thousand, two hundred fifty six. Ø Eight thousand, eight hundred eighty

Assignment �Textbook Page 48 -49 �Question 1 – 9 �If you get done early complete question 10 and 11.

Place Value (Page 46 -54) �https: //www. youtube. com/watch? v=fd- E 18 Eq. SVk �You estimate or round a number in order to make it easier to work with. �Which is easier to answer? � 23 + 8 = OR 20 + 10= �You can round to the nearest ten, hundred, thousand, million, and so on. Make sure you read your question(s) carefully to see what it’s asking for.

Place Value (Page 46 -54) �When rounding make sure you look at the number after the number place you are rounding to. �Example: If I asked you to round to the nearest tens spot and your number was 234 you need to look at the number after the tens spot to decide if you are round up or down (keeping it the same. ) � 3 is the number in the tens spot and 4 is unit after in the ones spot.

Place Value (Page 46 -54) �When the number after the target digit (the place value you are rounding to) is 0, 1, 2, 3, 4 then you keep your target digit. �When the number after the target digit (the place value you are rounding to) is 5, 6, 7, 8, 9 then you round your target digit up one number. Example: If I was asked to round to the nearest tenth � 3457= 3460 (Because the number after the 5 is a 7, I need to round up) � 5463= 5460 (Because the number after the 6 is a 3, I need to round down (keep it the same)

Practice v Round the following numbers to the nearest hundreds. - 2398 -45 672 -1 236 785 v Round the following numbers to the nearest thousands. - 2398 -45 672 -1 236 785 v Round the following numbers to the nearest ten million. -239 856 347 -45 672 111 -1 342 236 785

Place Value (Page 46 -54) Example PAT Question �Mrs Baker went to a computer shop with $2000 to buy a computer and accessories. She finds a computer that costs $989 and a computer desk that costs $105. Before she makes the purchases, she estimates the amount of money that she will have left over. A. $800 B. $900 C. $1000 D. $1100

Assignment �Textbook Page 52 -54, Questions 1 -7 �If you get done do questions 8 -11.

Multiples (Page 55 -58) v. To find a multiple of a number all you need to do is skip count. Make sure to start at the original number. v. Example what are the multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30 and so on. v. Example what are the multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80 and so on.

Practice Remember you need to count the original number when finding multiples. If I found the first 10 multiples of the number 4 my answer would look like this 4, 8, 12, 16, 20, 24, 28, 32, 36, 40 ( there’s the first ten, go ahead count them) �Find the first 10 multiples of the following numbers: �-3 -5 -100

Common Multiples (Page 55 -58) �When comparing the multiples of two numbers you need to find the multiples of those numbers and check to see which numbers they have in common (the same. ) �Example: What common multiples do 3 and 4 have? � 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36 � 4, 8, 12, 16, 20, 24, 28, 32, 36, 40 �What numbers are the same on both lists? �Could there be more? �When finding common multiples start by looking at the first 10 multiples of each number.

Practice �What’s the first 2 common multiples of the following numbers: -5 and 6 - 4 and 2 - 3 and 9 - 2 and 10 - LCM (Lowest common multiple) is the smallest number that they have in common.

Practice �Is 560 a common multiple of 2 and 5? How do you know? � When a question asks you is this number a multiple of this number. You can find the answer quick on your calculator. � Is 869 a multiple of 3 � Go 869 ÷ 3 = 289. 666666 (It’s a decimal so it’s not a multiple. ) � Is 399 a multiple of 3 � Go 399 ÷ 3 = 133 (It’s a whole number so it’s a multiple. )

Multiples Example PAT question

Multiples Example PAT question How many times do Heather and Samuel work together in the month of July? A. 1 B. 2 C. 3 D. 4

Assignment �Textbook Page 56 - 58 Questions 1 -15 �If you get done early do question 16 -17.

Prime and Composite (Page 59 -62) � https: //www. youtube. com/watch? v=jp. MYf. W 9 Xzi. U � Factors: The numbers used in multiplication. Example 3 X 4 = 12 3 and 4 are factors and 12 is the product. � Prime numbers: Only have 1 and itself as factors. Example: 3 1 X 3 = 3 Is there any way to get the product 3 using multiplication besides 1 X 3 or 3 X 1 ? � Factors are 1 and 3 so 3 is a prime number. � Composite numbers: Have more than 1 and itself and factors. � Example: 8 1 X 8 = 8 or 2 X 4 = 8 � The factors are 1, 2, 4, 8 so 8 is a composite number.

Prime and Composite (Page 59 -62) �What are all the factors of -2 -6 -10 -15 -24 -100 THINK OF ALL THE WAYS YOU CAN GET THOSE PRODUCTS. YOU MUST USE MULTIPLICATION ONLY.

Prime and Composite (Page 59 -62) �https: //www. youtube. com/watch? v=V 08 g_lk. Kj 6 Q �Use the hundreds chart provided and follow along with the video.

Prime and Composite (Page 59 -62) Example PAT question

Assignment �Textbook Page 61 - 62, questions 1 -9. �If you get done early complete questions 10 -15.

Factors (Page 63 -66) � https: //www. youtube. com/watch? v=0 Nv. Lt. Twn. UHs&list= PLEWSa. Kb. Wxlx. V_3 p. Cq 0 Blc 6 Vcjdg. K 01 Anm � Factors: The numbers used in multiplication. Example 3 X 4 = 12 3 and 4 are factors and 12 is the product. � When you find the factors of a number you need to find ALL the factors. We will be looking a at couple different ways to do this. � Let’s look at the number 4, you can get the product 4 by multiplying 1 X 4 and 2 X 2 Those are the factor pairs. � The Factors of 4 are 1, 2, 4

Factor Rainbows �This is a great way to find factors for a number. �https: //www. youtube. com/watch? v=wnj. OLMYXRA E �Let’s do a few examples on the white board.

Practice �Create factor rainbows for each of the following numbers. � 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24 , 25

Factor Trees �This is a great way to find factors and prime factorization. �https: //www. youtube. com/watch? v=u. N_Kpia 7 JQ 0 �https: //www. youtube. com/watch? v=XGb. Oi. Yh. HY 2 c �https: //www. youtube. com/watch? v=w. C 74 BXIun. QI �Let’s try a few examples on the board.

GCF= Greatest Common Factor � When asked to compare two numbers factors to find the GCF; you need to find all the factors of those giving numbers and the find the common numbers of both lists. The greatest common factor is the highest number they have in common. � Example: � 12 and 18 � 12= 1 X 12, 2 X 6, 3 X 4 The factors are 1, 2, 3, 4, 6, 12 � 18 = 1 x 18, 2 x 9, 3 x 6 The factors are 1, 2 , 3, 6, 9, 18 � The common factors are 1, 2, 3, and 6 � The GCF is 6.

LCM AND GCF �LCM= Lowest Common Multiple �GCF- Greatest Common Factor �https: //www. youtube. com/watch? v=3 W 8 Se. Yg. Zc. Mo (Ladder method. )

Factors Example PAT Question

Factors Example PAT Questions Which of the following pairs of numbers are prime factors for both 45 and 60? A. 2 and 3 B. 2 and 5 C. 3 and 3 D. 3 and 5 Which of the following numbers is not a common factor of 44 and 66. A. 1 B. 4 C. 11 D. 22

Assignment �Page 65 -66, questions 2 -10 �If you get finished early please complete the remaining questions on those two pages.

Order of operations (Page 70 -73) How do you answer 9 x 10 – (30 + 30) = ? If you just started solving the problem from left to right you will get the wrong answer. There’s rules to answering equations. (Don’t worry, it’s easy. ) https: //www. youtube. com/watch? v=d. Agfn. K 528 RA https: //www. youtube. com/watch? v=Zze. DWFh. Yv 3 E https: //www. youtube. com/watch? v=zanq 7 gm. XY 88

Order of operations (Page 70 -73) BEDMAS (In the USA the call it PEDMAS) �B is for Brackets (P would be for parenthesis) �E is for Exponents These are considered equal. �D is for Division You solve for which comes first. �M is for Multiplication These are considered equal. �A is for Addition You solve for which comes first �S is for Subtraction

Order of operations (Page 70 -73) Let’s try our equation from a couple slides ago: 9 x 10 – (30 + 30) = ? Step 1: Are there any Brackets? Yes, inside is 30 +30; so let’s answer that first. 30 + 30 = 60 Step 2: Rewrite the equation 9 x 10 – 60 Step 3: Are there any multiplication/division symbols? Yes, 9 X 10; So let’s answer that. 9 x 10 = 90 Step 4: Rewrite the equation 90 – 60 Step 5: Are there any addition/subtraction symbols? Yes, 90 – 60; so let’s answer that. 90 – 60 =30. Step 6: Write out the answer with the original equation:

Practice Answer the following examples using BEMAS: 35 – 16 ÷ 4 = 8 x ( 6 + 4) = 86 – 9 X 9 = (5 + 3) X (12 + 2) =

Order of operations (Page 70 -73) Example PAT questions

Order of operations (Page 70 -73) Example PAT questions

Assignment Textbook Page 72 - 73, questions 1, 4 -12 This is the end of the Number Unit. You will have your test soon. Make sure to use the study guide provided.

Games for Practice �http: //www. funbrain. com/tens/index. html �http: //www. hbschool. com/activity/elab 2004/gr 4/1. html �http: //www. fun 4 thebrain. com/beyondfacts/gcfsketch. ht ml �http: //www. mathplayground. com/mathman. html �http: //www. learnalberta. ca/content/mejhm/index. html? I D 1=AB. MATH. JR. NUMB&ID 2=AB. MATH. JR. NUMB. INT E&lesson=html/object_interactives/order_of_operations /use_it. html �http: //cemc 2. math. uwaterloo. ca/mathfrog/english/kidz/ order. shtml