5.14a Construct a sample space, using a tree diagram to identify all

MATH IN MINUTES
Grade 5 – 5.14
FLEXIBLE CREATIVITY, INC.
Math in Minutes
Math in Minutes is a unique opportunity for classroom teachers to provide students with a snapshot of
the 2009 Virginia Standards of Learning mathematics curriculum. It can provide teachers with an
opportunity to informally assess a student’s pre- and post-knowledge.
This document is designed for students to provide open-response or performance-based response.
Feedback cards (at the beginning of the document) can be provided to each student and placed at the top
of their work space. Teachers monitor student progress and provide feedback. Additionally, when
necessary, resources for responses (for example, coordinate plane) are provided within the document.
Math in Minutes is designed to be used as either an opening activity to each day’s mathematics
assignment or as transition between activities. Each question can be individually printed to allow
students to work independently. Students will look forward to the challenge!
Math in Minutes ● Flexible Creativity, Inc. ● www.flexiblecreativity.com ● ©2012 All rights reserved.
5.14
Feedback Cards
You are doing
a great job!
Keep working.
Good work!
You did it!
Please help a partner or neighbor.
Math in Minutes ● Flexible Creativity, Inc. ● www.flexiblecreativity.com ● ©2012 All rights reserved.
5.14
Question 1
Directions: Complete the empty sections of the tree diagram. You may use the possible answer choices in
the shaded box more than once.
A fifth-grade class is making Christmas cards to send to hospital patients. There is red paper,
green paper or white paper to use to make the card. Stickers or stencils are available to decorate
each card. Complete the tree diagram identifying all the possible outcomes.
___
• ______
• ______
___
___
• _____
• _____
• _____
• _____
Possible Answer Choices
Red Paper
Green Paper
White Paper
Stickers
Stencils
Math in Minutes ● Flexible Creativity, Inc. ● www.flexiblecreativity.com ● ©2012 All rights reserved.
5.14
Question 1 Answer
red
green
white
5.14a
• stickers
• stencils
• stickers
• stencils
• stickers
• stencils
Construct a sample space, using a tree diagram to identify all possible outcomes of a single event
Math in Minutes ● Flexible Creativity, Inc. ● www.flexiblecreativity.com ● ©2012 All rights reserved.
5.14
Question 2
Directions: Draw a tree diagram in the box below.
After dinner, mom set up an ice cream display. Each person could choose between chocolate,
vanilla, or strawberry ice cream. Then, they could add either sprinkles or chocolate sauce. Draw
a tree diagram of the possible choices.
Math in Minutes ● Flexible Creativity, Inc. ● www.flexiblecreativity.com ● ©2012 All rights reserved.
5.14
Question 2 Answer
** students will have a variety of diagrams; however, an example is shown below **
chocolate
ice cream
Ice Cream
Choices
vanilla ice
cream
strawberry
ice cream
5.14a
• sprinkles
• chocolate
sauce
• sprinkles
• chocolate
sauce
• sprinkles
• chocolate
sauce
Construct a sample space, using a tree diagram to identify all possible outcomes of a single event
Math in Minutes ● Flexible Creativity, Inc. ● www.flexiblecreativity.com ● ©2012 All rights reserved.
5.14
Question 3
Directions: Draw a tree diagram in the box below.
Greg decided to make a peanut butter and jelly sandwich. His choices of bread are whole wheat,
white or pita. He can choose either creamy or crunchy peanut butter. Then he has three kinds of
jelly to choose from: strawberry, grape or apple. Create a tree diagram with all the possible
outcomes.
Math in Minutes ● Flexible Creativity, Inc. ● www.flexiblecreativity.com ● ©2012 All rights reserved.
5.14
Question 3 Answer
** students will have a variety of diagrams; however, an example is shown below **
5.14a
Construct a sample space, using a tree diagram to identify all possible outcomes of a single event
Math in Minutes ● Flexible Creativity, Inc. ● www.flexiblecreativity.com ● ©2012 All rights reserved.
5.14
Question 4
Directions: Complete the diagram with all the possible outcomes.
Jeremy has two pennies each with a head and tail side. Complete the diagram below with the
possible outcomes if both pennies are tossed.
____
____
____
____
____
____
Math in Minutes ● Flexible Creativity, Inc. ● www.flexiblecreativity.com ● ©2012 All rights reserved.
5.14
Question 4 Answer
heads
5.14b
tails
heads
heads
tails
tails
Construct a sample space, using a list or chart to represent all possible outcomes of a single event
Math in Minutes ● Flexible Creativity, Inc. ● www.flexiblecreativity.com ● ©2012 All rights reserved.
5.14
Question 5
Directions: Circle the box you want to select.
Stacey has 3 six-sided digit cubes. When she rolled all three cubes, she rolled the numbers 2, 7,
and 9. What are all the 3-digit numbers Stacey can create using the numbers 2, 7 and 9 only one
time in each number?
927, 279, 729, 792, 297
972, 927, 279, 297
279, 297, 729, 792, 927, 972
Math in Minutes ● Flexible Creativity, Inc. ● www.flexiblecreativity.com ● ©2012 All rights reserved.
5.14
Question 5 Answer
927, 279, 729, 792, 297
5.14c
972, 927, 279, 297
279, 297, 729, 792, 927, 972
Predict and determine the probability of an outcome by constructing a sample space
Math in Minutes ● Flexible Creativity, Inc. ● www.flexiblecreativity.com ● ©2012 All rights reserved.
5.14