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.

• 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.

Old Unit5 Agendasmrs. Colville's Math Classes

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:

Old Unit5 Agendasmrs. Colville's Math Classroom

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 1

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.