1. Old Unit5 Agendasmrs. Colville's Math Classes

Bridges First Edition Lessons & Activities, Grades 5

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For fifth grade, 9 of 22 supplements sets are correlated to the Common Core State Standards. For two-way mapping of supplements to standards download the Grade 5 Correlations.

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. The Curriculum Corner is your first stop for math fact practice in the classroom and at home! Our free math fact practice resources include timed tests, worksheets, math centers, computation games and color key pages. This is a great place for teachers and parents to begin gathering classroom and home resources. Rich with scads of practice, the CCSS aligned printable 1st grade math worksheets with answer keys help kids solve addition and subtraction problems within 20, extend their counting sequence, understand place value and number systems, measure length and compare sizes, tell time, count money, represent and interpret data, and know the attributes of 2D and 3D shapes in geometry.

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• Activity 1: The Carnival
• Independent Worksheet 1: Padre’s Pizza
• Independent Worksheet 2: Choosing Equations & Diagrams

• Activity 1: Introducing Virtual Spinners
• Activity 2: The 6-4-2 Spinner
• Independent Worksheet 1: Make & Test Your Own Spinner

• Activity 1: Counting the Possible Outcomes
• Independent Worksheet 1: Charlie’s Marbles
• Independent Worksheet 2: Rachel’s Outfits

• Activity 1: Classifying Triangles
• Activity 2: Sorting & Classifying Quadrilaterals
• Activity 3: Finding the Perimeter & Area of a Parallelogram
• Activity 4: Three Mathematical Ideas
• Independent Worksheet 1: More Geoboard Triangles
• Independent Worksheet 2: Color & Construct Triangles
• Independent Worksheet 3: Classifying Quadrilaterals
• Independent Worksheet 4: Quad Construction
• Independent Worksheet 5: Perimeter & Area Puzzles
• Independent Worksheet 6: Ebony’s Quilt

• Activity 1: Sketching & Identifying Transformations
• Independent Worksheet 1: Transforming Figures, Part 1
• Independent Worksheet 2: Transforming Figures, Part 2

• Activity 1: 3-Dimensional Shape Posters
• Activity 2: Faces, Edges & Vertices
• Independent Worksheet 1: Nets & 3-Dimensional Shapes

• Activity 1: Point, Line Segment, Ray, Angle
• Independent Worksheet 1: Drawing & Measuring Line Segments & Angles
• Independent Worksheet 2: Parallel & Perpendicular
• Independent Worksheet 3: Constructing Polygons

• Activity 1: Measuring Area
• Activity 2: Measuring Perimeter
• Activity 3: The Ladybugs’ Garden
• Activity 4: Hexarights
• Independent Worksheet 1: Area & Perimeter Review
• Independent Worksheet 2: Measuring Rectangles

• Activity 1: Introducing Volume
• Activity 2: More Paper Boxes
• Activity 3: Fish Tank Volume
• Activity 4: Number of Fish
• Activity 5: Fish Tank Plants with a Line Plot
• Activity 6: Water for the Fish Tank Assessment
• Independent Worksheet 1: Volume Review
• Independent Worksheet 2: The Camping Trip
• Independent Worksheet 3: Tank Volume
• Independent Worksheet 4: Third Tank Needs Fish
• Independent Worksheet 5: Plants for the Second Fish Tank

• Activity 1: Area of Parallelograms, Part 1
• Activity 2: Area of Parallelograms, Part 2
• Activity 3: Area of Right Triangles
• Activity 4: Polygons to Order
• Independent Worksheet 1: Geoboard Polygons
• Independent Worksheet 2: Finding Perimeter & Area of Quadrilaterals
• Independent Worksheet 3: Finding the Area of Right Triangles
• Independent Worksheet 4: Rectangles, Parallelograms & Right Triangles

• Activity 1: Introducing Integers
• Activity 2: Integer Tug O' War
• Activity 3: 4-Quadrant Battleship
• Independent Worksheet 1: Negative & Positive Temperature
• Independent Worksheet 2: Temperature & Elevation Riddles
• Independent Worksheet 3: Shapes on a 4-Quadrant Grid

• Activity 1: Multiplying by Powers of Ten
• Activity 2: Dividing by Powers of Ten
• Activity 3: Using Decimals to Calculate Sale Prices
• Activity 4: Multiplying Decimals
• Activity 5: Building a Deck, Using Partial Products & Arrays for Decimal Multiplication
• Activity 6: Multiplying Decimals, More/Less
• Activity 7: Dividing Decimals with Money & Menus
• Activity 8: Using Models & Strategies to Divide with Decimals
• Independent Worksheet 1: Thinking about Tenths, Hundredths & Thousandths
• Independent Worksheet 2: Very Large & Very Small Numbers in Context
• Independent Worksheet 3: Multiplying & Dividing by Powers of Ten
• Independent Worksheet 4: Using Landmark Fractions & Percents to Multiply by Decimals
• Independent Worksheet 5: Multiplying Two Decimal Numbers
• Independent Worksheet 6: Comparing & Multiplying Fractions & Decimals
• Independent Worksheet 7: Olympic Swimmers
• Independent Worksheet 8: Olympic Track Star

• Making Sense of Division with Fractions
• Activity 1: Dividing Fractions & Whole Numbers Pre-Assessment
• Activity 2: Reviewing the Sharing & Grouping Interpretations of Division
• Activity 3: Grouping Stories
• Activity 4: Dividing a Whole Number by a Fraction
• Activity 5: Sharing Stories
• Activity 6: Dividing a Fraction by a Whole Number
• Activity 7: The Division Poster Project
• Activity 8: Dividing Fractions & Whole Numbers Post-Assessment
• Independent Worksheet 1: Sharing & Grouping: Multiplying & Dividing
• Independent Worksheet 2: Operating with Fractions & Whole Numbers
• Independent Worksheet 3: More Fractions & Whole Numbers

• Independent Worksheet 1: Using Compatible Numbers to Estimate Answers
• Independent Worksheet 2: Are These Answers Reasonable?
• Independent Worksheet 3: Travel Miles

• Activity 1: Primes & Common Factors
• Activity 2: Factor Riddles Independent Worksheet 1: Prime or Composite?
• Independent Worksheet 2: Factor Trees & Common Factors
• Independent Worksheet 3: More Factor Riddles

• Independent Worksheet 1: Using Compatible Numbers to Multiply & Divide
• Independent Worksheet 2: More Multiplication & Division with Compatible Numbers
• Independent Worksheet 3: Reasonable Estimates in Multiplication & Division

• Activity 1: Introducing the Standard Algorithm
• Activity 2: Extending the Standard Algorithm

• Independent Worksheet 1: Fractions through the School Day
• Independent Worksheet 2: Fractions on the Trail
• Independent Worksheet 3: Adding & Subtracting Fractions

• Activity 1: Simplify & Compare
• Activity 2: Same-Sized Pieces
• Independent Worksheet 1: Using the Greatest Common Factor to Simplify Fractions
• Independent Worksheet 2: Finding the Least Common Denominator
• Independent Worksheet 3: LCM & GCF

• Independent Worksheet 1: Tons of Rice
• Independent Worksheet 2: Inches to the Moon & Other Very Large Numbers
• Independent Worksheet 3: More Very Large Numbers

• Activity 1: The Commutative, Associative & Distributive Properties
• Independent Worksheet 1: Properties Make It Easier
• Independent Worksheet 2: C is for Commutative, A is for Associative, D is for Distributive

• Activity 1: Geoboard Perimeters
• Activity 2: Fraction Multiplication Story Problems
• Activity 3: Using the Area Model for Multiplying Fractions
• Activity 4: Generalizations About Multiplying Fractions
• Activity 5: Target 1: Fractions
• Activity 6: Multiplying Domino Fractions
• Activity 7: Area Word Problems with Mixed Numbers
• Independent Worksheet 1: Picturing Fraction Multiplication
• Independent Worksheet 2: More Fraction Multiplication
• Independent Worksheet 3: Fraction Stories
• Independent Worksheet 4: Using Strategies to Multiply Fractions with Mixed Numbers
• Independent Worksheet 5: Domino Multiplication

1.1

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 Classes

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.