Students Entering Grade 4

June 2017

Summer Learning Activities & Reflection

Dear Parents/Guardians,

Research shows that practicing reading and math over the summer is important not only because

it helps build skills, but also because it prevents the “summer slide” (summer reading/math regression).

Therefore, it is critical that our children practice literacy and math skills throughout the summer. Ideally

students should take time each day to practice and reflect on their learning.

The Summer Activities are aligned to the Common Core State Standards and MCPS Curriculum

2.0. The activities are designed for students to utilize reading, math, and writing strategies. Reflective

thinking requires students to take their learning to a deeper level. In order to facilitate students’

reflective thinking we are providing each student a summer learning journal. These journals will be set

up with the classroom teacher the last week of school to ensure students understand the expectations.

Materials You Will Receive for Summer Learning Activities and Reflection

1. This packet which includes:

literacy learning activities chart which your child can select from for summer practice

a reading log to record at least 10 reading materials read this summer

math learning activities which your child can select from for his/her summer practice

math resources to support your child’s mathematical thinking and reasoning

2. A Summer Learning Journal that your child will set up at school including:

a reading contract agreeing to read during the summer

reading strategies your child will use as he/she reads over the summer

math talk strategies to support your child’s mathematical thinking and reasoning

examples of how to format journal entries for summer learning activities and reflections

Students who meet the required expectations for the summer learning activities and reflection journal

must turn in their work by Friday, September 8th in order to participate in a fall celebration.

Thank you for your support in helping your child successfully complete his/her Summer Learning

Activities and Reflections over the summer. We hope that you and your family have a fantastic summer!

Sincerely,

Sarah Chung, Lisa Norris & Karlyn Kay

Reading Specialist, Media Specialist, & Math Specialist

GSCES Summer Learning_Entering Grade 1

Math Facts: Students need to become fluent with their math facts.

Fluent math students are flexible, efficient and accurate! Take time over the summer to practice your facts and explore strategies to help you really know your facts!

Flash cards should be used to practice strategies. Students can sort cards by a solution method, such as Square Facts (e.g., 3x3, 4x4), Relating 2s and 4s, Relating 3s and 6s, as well as applying their understanding of the distributive property and related multiplication and division facts. Then, students are not guessing at answers, but applying strategies that will become more efficient for the student over time. Keeping the focus on strategies will be much more

beneficial to students in the long run. For example: What square fact (doubles) could help you solve 8x9=? (e.g., 8x8 is 64, one more group of 8 is 72.) What fact with 4 helps you solve 8x9? (e.g., 4x9-36, 36 doubled is 72.) How can 8x10 help you solve 8x9? (e.g., 8 groups of 10 is 80; 8 groups of 9 is 8 less, or 72.)

Book Author

A Fly on the Ceiling Julie Glass

Amazing Math Projects You Can Build Yourself

Laszlo C. Bardos

Cubes, Cones, Cylinders, and Spheres Tana Hoban

Family Math Jean Kerr Stenmark

Fly a Jetfighter Hilary Koll

Fraction Fun David Adler

Grandfather Tang’s Story Ann Tompert

Horrible Harry Cracks the Code Suzy Kline

If You Made a Million David M. Schwartz

Matema? Tica Para Ninos Janice Pratt VanCleave

Math for All Seasons Greg Tang

Math Potatoes: Mind-Stretching Brain Food Greg Tang

Ready for Addition Rebecca Wingard-Nelson

Sir Cumference and the Dragon of Pi Cindy Neuschwander

The Best of Times Gregory Tang

The Cat in Numberland Ivar Ekeland

The Go-Around Dollar Barbara Johnston Adams

The Grapes of Math Greg Tang

The Story of Clocks and Calendars Betsy Maestro

What’s Your Angle, Pythagoras Julie Ellis

Math Reading Suggestions

Monopoly, Othello, Battleship, Connect Four, Mastermind, Mancala, Legos, K’Nex, Simon, Yahtzee, Checkers, Racko, 24, Sumoko, Chips…

Math Games

Please review each site and monitor your child’s online sessions. https://www.khanacademy.org/math

http://www.aplusmath.com

http://www.coolmath4kids.com

http://www.mathplayground.com

http://illuminations.nctm.org/

http://www.montgomeryschoolsmd.org

/departments/hiat-

tech/resources/websites/math-

websites.aspx)

http://gregtangmath.com/

https://www.matific.com/us/en-us

Math Websites

M A T H Number and Operations in Base Ten Operations and Algebraic Thinking

Number and Operations (Fractions)

Measurement and Data & Geometry

Use a variety of place value strategies

to compose numbers when adding

3-digit numbers. e.g. n = 274 +358.

Create two numbers over 100. Add the

numbers and explain how place value

helps you to determine whether you

need to compose a 10 or 100.

Find 3 digit numbers in a magazine or

book. Use at least two strategies to

subtract the smaller number from the

larger number. Analyze your work.

Which strategy is most efficient?

Work with a friend or family member

to identify 5 numbers that would

round to 400. Discuss the strategies

used to round numbers to the nearest

100. You can use a number line to

help you round your numbers.

Would you have the same results if

you were rounding your numbers to

the nearest ten?

Create and solve two step word problems. Ex. Johnny drove 238 miles to an amusement park. Sarah drove 52 miles more than Johnny. Andrea drove 87 miles less than Sarah. How many miles did Andrea drive to the amusement park?

Think of examples when things must be shared (divided) into equal groups. What equations can you write to represent the situation?

Use flashcards, playing cards, dice, etc. to solve basic multiplication facts of 2, 5, 10, 0, and 1 by memory.

Play a hop-scotch game to practice skip counting strategies to find the products of given multiplication equations.

Example: To practice multiples of 5, write all products in order (0, 5, 10, 15, 20…). Next, solve a multiplication problem (7x5) and hop-scotch to the correct product (35) while calling out each product (multiple of 5) along the way.

Write multiplication or division equations that match drawings or pictures found in magazines or newspapers. Share with someone why the equation matches the drawing or picture.

Identify a unit fraction within a whole object. Example: Look at a whole pizza. The unit fraction is if it is broken into 3 equal pieces?

Take a walk around the

neighborhood and look for objects that are

split into equal or unequal parts. If an

object is partitioned (divided) into equal

parts, identify the number of parts and the

unit fraction.

Example: A window divided into 6 equal

parts represents sixths. Each part is 1

6 and

the unit fraction is 1

6 )

Draw a number line from 0 to 1 on the

ground using chalk. Ask a friend or family

member to call out a fraction less than 1 (for

example 5

6 ). Split the whole (from 0 to 1)

into an equal number of parts and stand on

the mark that represents the given fraction.

Explain how you located the fraction on the

number line.

Use a ruler to measure three different sized

straight edged objects (paper, magnet…) to

the nearest 1

2 inch and

1

4 inch. Compare the

lengths and explain how you used fractions

to measure the objects.

Set a goal to find a certain amount of

quadrilateral shapes (4 sided) to sort

into the categories of rhombus,

rectangles, and squares. Explain why

some quadrilaterals can be sorted into

multiple categories.

Find, measure, and compare examples

of area.

Example: Use square sticky notes to

measure the area of various

rectangular table tops or book

surfaces.

Map out of a room in your house on

graph paper and explain how to

partition the shape to find the area.

Compare and order liquid volumes of

containers around the home (for

example: milk jugs, coffee mugs, juice

boxes, cups, etc.).

GSCES Summer Resources_Entering Grade 4

M A T H Number and Operations in Base Ten Operations and Algebraic Thinking

Number and Operations (Fractions)

Measurement and Data & Geometry

Find and explain patterns in 2’s, 5’s,

and 10’s, 0’s, 1’s multiplication facts.

Identify and explain patterns in a

multiplication table.

Use models to represent equal share

situations.

Write division equations to represent equal share situations.

Roll numbers and multiply them by 10! What pattern do you notice? Think about what you know about place value and multiplication properties to be able to solve ‘times ten’ problems.

Go online and complete the Greg Tang Summer Math Challenge!

http://gregtangmath.com/

Locate objects found around the home (ex: shoes, socks, forks) to create models of multiplication and division equations with an unknown. Share how the model matches the given equation.

Example: Model 6 x f = 18 by seeing how many groups of 6 tennis balls make a total of 18 tennis balls.

Use flashcards, playing cards, dice, etc. to practice your multiplication facts of 2, 5, 10, 0, 1, 4, 8, 9, 3, 6, and 7 by memory. Website to support learning: http://www.aplusmath.com/Games/index.html

Identify situations at home where multiplication or division are used and write an equation.

Example: How many outfits can be created with 2 shirts and 4 shorts? 2 x 4 = n

Find examples of food that are divided into

equal parts (pizza, chocolate bar, graham

crackers, and orange slices). Represent the

item by drawing a bar model.

Example: If you have a pizza divided into

eighths, draw a bar model that is also

divided in eighths). Create and explain

equivalent fractions using the bar model

(e.g.: 2

8 of the bar model is equal to

1

4 ).

Create two models of fractions with the

same denominator using paper plates.

Example: Show 3

8 on one plate and

5

8 on

the other. Explain how the fractions

compare by using the math terms greater

than, less than, or equal to.

Find two similar shaped objects that can be

divided into halves (an orange and a plum

or a book and a box). Show 1

2 with each

object and compare the halves. Explain if

they are the same or not. Repeat this

activity with other fractions.

Create a goal to complete a task in a given amount of time (for example: complete homework, clean a room, etc.). Record the start and finish time to reflect on if goal was achieved. Add ideas to the original plan in order to improve the process of achieving the goal.

Use an analog clock to tell the time of at-home activities (for example: start of sports practice, dinner, bedtime, etc.).

Determine the area and perimeter of

windows in the home. Illustrate and

label findings to determine if any

windows have the same perimeter and

different areas or the same area and

different perimeters.

Create a data table showing the color and amount of socks in a sock drawer. Show the data in a different way such as a pictograph or a bar graph. Share your data and graphs with someone.

GSCES Summer Resources_Entering Grade 4

Multiplication Table

GSCES Summer Resources_Entering Grade 4

Strategies! List your favorite strategies. Here are a few to get you started:

Use a variety of place value strategies to compose numbers when addting 3-digit quantities.

Ex. n = 274 + 358

Use models to represent equal share situations.

Develop understanding of factors 4, 8, 9, 3, 6, and 7 by describing patterns on a multiplication table and examining products.

Use known multiplication facts (2, 5, 10, 0, 1 ) to solve unknown facts.

Example: 4 x 7 = ? I know that 2 x 7 =14. If doubled, 14 + 14 = 28, so 4 x 7 = 28.

Apply knowledge of multiplication to solve division equations.

Example: 32 ÷ 4 = ____. What number multiplied by 4 will equal 32?

Determine the unknown in a problem by identifying and using the relationship between multiplication

and division (fact families).

Compare two fractions by creting drawings or models with the same denominator or numerator.