Old Unit5 Agendasmrs. Colville's Math Class

1.1

School Year 2014-2015; School Year 2015-2016; School Year 2016-2017; School Year 2017-2018; School Year 2018-2019; School Year 2019-2020; House Bill 1109 - ASB Funding Report. Worksheets Math Grade 5 Multiplication & division. Multiply & divide with grade 5 worksheets. These grade 5 worksheets provide more challenging practice on multiplication and division concepts learned in earlier grades. Soln: A man can enter the stadium in 4 ways. Again the man can leave the stadium in 9 ways. So, total no.of ways with which a man enters and then leaves the stadium = 4. 9 = 36ways. NOTICE - DATE CHANGE. REGULAR SCHOOL BOARD MEETING. COLVILLE SCHOOL DISTRICT BOARD OF DIRECTORS. The regular scheduled January 27, 2021 school board meeting for the Colville School District will be on Tuesday, January 26, 2021 at 6:00 PM via a remote meeting. Contact Info Phone #: (248)684-8060 E-mail: Andrea.Colville@hvs.org.

1.

Soln:

A man can enter the stadium in 4 ways. Again the man can leave the stadium in 9 ways.

So, total no.of ways with which a man enters and then leaves the stadium = 4 * 9 = 36ways.

2.

Soln:

There are 6 choices for a student to enter the hostel. There are 5 choices for a student to leave the hostel as different door is to be used.

So, total no.of ways = 6 * 5 = 30.

3.

Soln:

There are 7 choices for 1^st son, 6 choices for 2^nd son and 5 choices for 3^rd son.

Now, by the basic principle of counting, the total number of ways of choice = 7 * 6 * 5 = 210.

4.

Soln:

A man can go from city A to city B in 5 ways. As he has to return by a different road, so he can return from city B to city A in 4 ways.

So, total no.of ways by which a man can go from city A to city B and returns by a different road = 5 * 4 = 20 ways.

5.

Soln:

A person can go from city A to city B in 5 ways. Again, he can go from city B to city C in 4 ways. So, a person can go from city A to city C in 5 * 4 = 20ways. The person has to return from C to A without driving on the same road twice, So, he can return from city C to city B in 3 ways and from city B to city A in 4 ways.

So, he can return from city C to city A in 3 * 4 = 12 ways.

So, Total no.of ways by which a person can go from city A to city C and return from city C to city A = 20 * 12 = 240 ways.

6.

Soln:

Numbers formed should be of at least 3 digits means they may be of 3 digits, 4 digits, 5 digits or 6 digits.

There are 6 choices for digit in the units place. There are 5 and 4 choices for digits in ten and hundred's place respectively.

So, total number of ways by which 3 digits numbers can be formed = 6.5.4 = 120

Similarly, the total no.of ways by which 4 digits numbers can be formed = 6.5.4.3 = 360.

the total no. of ways by which 5 digits numbers can be formed = 6.5.4.3.2 = 720.

The total no.of ways by which 4 digits numbers can be formed = 6.5.4.3.2.1 = 720.

So, total no.of ways by which the numbers of at least 3 digits can be formed = 120 + 360 + 720 + 720 = 1920.

7.

Soln:

The numbers formed must be of three digits and less than 500, so the digit in the hundred's place should be 1,2,3 or 4. So, there are 4 choices for the digit in the hundred's place. There are 5 choice for the digit in the ten's place. There are 4 choices for the digit in the unit's place.

So, no of ways by which 3 digits numbers les than 500 can be formed = 4.5.4 = 80.

8.

Soln:

The numbers formed should be even. So, the digit in the unit's place must be 2 or 4. So, the digit in unit's place must be 2 or 4. So, for the digit in unit's place, there are 2 choices. So, after fixing the digit in the unit's place, remaining 4 figures can be arranged in P(4,4) ways.

Ie. $frac{{left( 4 right)!}}{{left( {4 - 4} right)!}}$ = $frac{{4!}}{{0!}}$ = $frac{{4{rm{*}}3{rm{*}}2{rm{*}}1}}{1}$ = 24 ways.

So, total no.of ways by which 5 even numbers can be formed = 2 * 24 = 48.

9.

Soln:

The numbers formed must be of 4 digits. The digit in the thousand's place must always be 4. For this, there is only one choice. After that, n = 6 – 1 = 5, r = 4 – 1 = 3. Then remaining 5 figures can be placed in remaining 3 places in:

Or, P(5,3) ways = $frac{{5!}}{{left( {5 - 3} right)!}}$ = $frac{{5!}}{{2!}}$ = $frac{{5{rm{*}}4{rm{*}}3{rm{*}}2{rm{*}}1}}{{2{rm{*}}1}}$ = 60 ways.

So, Total no.of ways by which 4 digits numbers between 4,000 and 5,000 can be formed = 1 * 60 = 60.

10.

Soln:

For the three digits numbers, there are 5 ways to fill in the 1^st place, there are 4 ways to fill in the 2^nd place and there are 3 ways to fill in the 3^rd place. By the basic principle of counting, number of three digits numbers = 5 * 4 * 3 = 60.

Old Unit5 Agendasmrs. Colville's Math Class 9

Again, for three digit numbers which are divisible by 5, the number in the unit place must be 5. So, the unit place can be filled up in 1 way. After filling up the unit place 4 numbers are left. Ten's place can be filled up in 4 ways and hundredths place can be filled up in 3 ways. Then by the basic principle of counting, no.of 3 digits numbers which are divisible by 5 = 1 * 4 * 3 = 12.

Bridges First Edition Lessons & Activities, Grade 1

Select a Grade

For first grade, 17 of 29 supplements sets are correlated to the Common Core State Standards. For two-way mapping of supplements to standards download the Grade 1 Correlations.

• Activity 1: Introducing Double Flap Dot Cards
• Activity 2: Double Flap Picture Cards
• Activity 3: Double Flap Number Cards
• Independent Worksheet 1: Double Dot Cards for Eleven
• Independent Worksheet 2: Double Dot Cards for Twelve
• Independent Worksheet 3: True or False?

• Activity 1: Which Book Shall We Read Tomorrow?
• Activity 2: What's Your Favorite Vegetable?

• Activity 1: Certain or Impossible?
• Activity 2: Red Frog, Green Frog
• Activity 3: Our Class Book of Certain & Impossible Events

• Activity 1: Shape Detectives
• Activity 2: Mystery Bag Sorting
• Activity 3: Shape Walk

• October Calendar Pattern
• October Calendar Markers

• November Calendar Pattern
• November Calendar Markers

• December Calendar Pattern
• December Calendar Markers

• January Calendar Pattern
• January Calendar Markers

• February Calendar Pattern
• February Calendar Markers

• March Calendar Pattern
• March Calendar Markers

• April Calendar Pattern
• April Calendar Markers

• Activity 1: Longer, Shorter, or the Same
• Activity 2: How Long is the Teacher's Belt?
• Activity 3: Compare, Spin & Win
• Activity 4: The Measuring Stick
• Activity 5: The Packing Box

• Activity 1: Measuring Length with Popsicle Sticks
• Activity 2: Measuring Length with Unifix Cubes
• Activity 3: How Long is the Jump Rope?

• Activity 1: Comparing & Ordering Weights
• Activity 2: Two Pounds of Oranges
• Activity 3: Spin & Compare Weights

• Activity 1: Weigh & Compare
• Activity 2: Estimate & Check the Weight
• Activity 3: Weigh It Twice

• Activity 1: Scoops of Rice
• Activity 2: The Measuring Jar
• Activity 3: Goldilocks & the Three Jars

• Activity 1: The Cheetah, the Tortoise & the Hare
• Activity 2: How Much Time?
• Activity 3: Which One Sinks First, Second & Third?

• Activity 1: The Alarm Clock
• Activity 2: Analog & Digital Clocks: A Match Game
• Activity 3: Danny's School Day

• Activity 1: Shorter, Longer, or Same Length?
• Activity 2: Measuring with Tile
• Activity 3: Introducing Rulers
• Activity 4: Frog Playground

Soln:

There are 6 choices for a student to enter the hostel. There are 5 choices for a student to leave the hostel as different door is to be used.

So, total no.of ways = 6 * 5 = 30.

3.

Soln:

There are 7 choices for 1^st son, 6 choices for 2^nd son and 5 choices for 3^rd son.

Now, by the basic principle of counting, the total number of ways of choice = 7 * 6 * 5 = 210.

4.

Soln:

A man can go from city A to city B in 5 ways. As he has to return by a different road, so he can return from city B to city A in 4 ways.

So, total no.of ways by which a man can go from city A to city B and returns by a different road = 5 * 4 = 20 ways.

5.

Soln:

A person can go from city A to city B in 5 ways. Again, he can go from city B to city C in 4 ways. So, a person can go from city A to city C in 5 * 4 = 20ways. The person has to return from C to A without driving on the same road twice, So, he can return from city C to city B in 3 ways and from city B to city A in 4 ways.

So, he can return from city C to city A in 3 * 4 = 12 ways.

So, Total no.of ways by which a person can go from city A to city C and return from city C to city A = 20 * 12 = 240 ways.

6.

Soln:

Numbers formed should be of at least 3 digits means they may be of 3 digits, 4 digits, 5 digits or 6 digits.

There are 6 choices for digit in the units place. There are 5 and 4 choices for digits in ten and hundred's place respectively.

So, total number of ways by which 3 digits numbers can be formed = 6.5.4 = 120

Similarly, the total no.of ways by which 4 digits numbers can be formed = 6.5.4.3 = 360.

the total no. of ways by which 5 digits numbers can be formed = 6.5.4.3.2 = 720.

The total no.of ways by which 4 digits numbers can be formed = 6.5.4.3.2.1 = 720.

So, total no.of ways by which the numbers of at least 3 digits can be formed = 120 + 360 + 720 + 720 = 1920.

7.

Soln:

The numbers formed must be of three digits and less than 500, so the digit in the hundred's place should be 1,2,3 or 4. So, there are 4 choices for the digit in the hundred's place. There are 5 choice for the digit in the ten's place. There are 4 choices for the digit in the unit's place.

So, no of ways by which 3 digits numbers les than 500 can be formed = 4.5.4 = 80.

8.

Soln:

The numbers formed should be even. So, the digit in the unit's place must be 2 or 4. So, the digit in unit's place must be 2 or 4. So, for the digit in unit's place, there are 2 choices. So, after fixing the digit in the unit's place, remaining 4 figures can be arranged in P(4,4) ways.

Ie. $frac{{left( 4 right)!}}{{left( {4 - 4} right)!}}$ = $frac{{4!}}{{0!}}$ = $frac{{4{rm{*}}3{rm{*}}2{rm{*}}1}}{1}$ = 24 ways.

So, total no.of ways by which 5 even numbers can be formed = 2 * 24 = 48.

9.

Soln:

The numbers formed must be of 4 digits. The digit in the thousand's place must always be 4. For this, there is only one choice. After that, n = 6 – 1 = 5, r = 4 – 1 = 3. Then remaining 5 figures can be placed in remaining 3 places in:

Or, P(5,3) ways = $frac{{5!}}{{left( {5 - 3} right)!}}$ = $frac{{5!}}{{2!}}$ = $frac{{5{rm{*}}4{rm{*}}3{rm{*}}2{rm{*}}1}}{{2{rm{*}}1}}$ = 60 ways.

So, Total no.of ways by which 4 digits numbers between 4,000 and 5,000 can be formed = 1 * 60 = 60.

10.

Soln:

For the three digits numbers, there are 5 ways to fill in the 1^st place, there are 4 ways to fill in the 2^nd place and there are 3 ways to fill in the 3^rd place. By the basic principle of counting, number of three digits numbers = 5 * 4 * 3 = 60.

Old Unit5 Agendasmrs. Colville's Math Class 9

Again, for three digit numbers which are divisible by 5, the number in the unit place must be 5. So, the unit place can be filled up in 1 way. After filling up the unit place 4 numbers are left. Ten's place can be filled up in 4 ways and hundredths place can be filled up in 3 ways. Then by the basic principle of counting, no.of 3 digits numbers which are divisible by 5 = 1 * 4 * 3 = 12.

Bridges First Edition Lessons & Activities, Grade 1

Select a Grade

For first grade, 17 of 29 supplements sets are correlated to the Common Core State Standards. For two-way mapping of supplements to standards download the Grade 1 Correlations.

• Activity 1: Introducing Double Flap Dot Cards
• Activity 2: Double Flap Picture Cards
• Activity 3: Double Flap Number Cards
• Independent Worksheet 1: Double Dot Cards for Eleven
• Independent Worksheet 2: Double Dot Cards for Twelve
• Independent Worksheet 3: True or False?

• Activity 1: Which Book Shall We Read Tomorrow?
• Activity 2: What's Your Favorite Vegetable?

• Activity 1: Certain or Impossible?
• Activity 2: Red Frog, Green Frog
• Activity 3: Our Class Book of Certain & Impossible Events

• Activity 1: Shape Detectives
• Activity 2: Mystery Bag Sorting
• Activity 3: Shape Walk

• October Calendar Pattern
• October Calendar Markers

• November Calendar Pattern
• November Calendar Markers

• December Calendar Pattern
• December Calendar Markers

• January Calendar Pattern
• January Calendar Markers

• February Calendar Pattern
• February Calendar Markers

• March Calendar Pattern
• March Calendar Markers

• April Calendar Pattern
• April Calendar Markers

• Activity 1: Longer, Shorter, or the Same
• Activity 2: How Long is the Teacher's Belt?
• Activity 3: Compare, Spin & Win
• Activity 4: The Measuring Stick
• Activity 5: The Packing Box

• Activity 1: Measuring Length with Popsicle Sticks
• Activity 2: Measuring Length with Unifix Cubes
• Activity 3: How Long is the Jump Rope?

• Activity 1: Comparing & Ordering Weights
• Activity 2: Two Pounds of Oranges
• Activity 3: Spin & Compare Weights

• Activity 1: Weigh & Compare
• Activity 2: Estimate & Check the Weight
• Activity 3: Weigh It Twice

• Activity 1: Scoops of Rice
• Activity 2: The Measuring Jar
• Activity 3: Goldilocks & the Three Jars

• Activity 1: The Cheetah, the Tortoise & the Hare
• Activity 2: How Much Time?
• Activity 3: Which One Sinks First, Second & Third?

• Activity 1: The Alarm Clock
• Activity 2: Analog & Digital Clocks: A Match Game
• Activity 3: Danny's School Day

• Activity 1: Shorter, Longer, or Same Length?
• Activity 2: Measuring with Tile
• Activity 3: Introducing Rulers
• Activity 4: Frog Playground

• Introduction
• Unit 4 Planner
• Advance Preparation Planning Guide
• Penguin Pictures Blacklines
• Work Places Planner Blackline
• Journey To Antarctica $200 Challenge Blacklines
• Activity 1: Number Line Race Game

• Introduction
• Unit 6 Planner
• Advance Preparation Planning Guide
• 2-D Fence Sections Blackline
• Goats–Sheep Hundreds Grid Comparison Worksheet
• Pigs–Cows Hundreds Grid Comparison Worksheet
• Farm Bucks One Dollar
• Farm Bucks Five Dollars
• Farm Bucks Ten Dollars

• Activity 1: The Classroom Numberline
• Activity 2: Guess My Number
• Activity 3: Estimate & Count the Cubes
• Activity 4: Rainbow Numbers

• Activity 1: The Digit Switcher
• Activity 2: Three-Digit Shuffle
• Activity 3: Numerals in the News

• Activity 1: Hopping Along the Number Line
• Activity 2: The Frog Jump Game
• Activity 3: Adding & Subtracting on the Number Line

• Activity 1: Sixes & Sevens, Day 1
• Activity 2: Sixes & Sevens, Day 2

• Activity 1: Cube Collections
• Activity 2: Button Boxes
• Activity 3: Put Them in Order

• Activity 1: Sandwich Fractions
• Activity 2: Paper Pizzas
• Activity 3: Fraction Bingo

Old Unit5 Agendasmrs. Colville's Math Classroom

• Activity 1: Number Line Race to Ten
• Activity 2: Number Line Showdown
• Activity 3: Unifix Train Fact Families
• Activity 4: Triangle Fact Families

Old Unit5 Agendasmrs. Colville's Math Classes

• Activity 1: The Train Station
• Activity 2: Ten Cubes in a Box
• Activity 3: Numeral Card Shuffle Independent Worksheet 1: Ordinal Numbers
• Independent Worksheet 2: Ordinal Number Mix-Ups & Fix-Ups
• Independent Worksheet 3: Shape Line-Up

• May Calendar Pattern
• May Calendar Markers