Grade 5 Home-based Math Activities--Original

[Pages:45]Home-based Math Activities Grade 5

Number Activities ............................................................................................ 2 Comparisons--Biggest, smallest, closest ......................................................... 2 Open Number Lines .................................................................................. 3

Fractions ......................................................................................................... 5 Fraction kit ............................................................................................ 5 Fractions with play-dough ................................................................................ 6 Fraction Activities with Fraction Concentration Cards ......................................... 7

Fractions Less Than 1 and Mixed Numbers ............................................................... 8 Equivalency Charts .................................................................................. 10

Decimal Fractions .............................................................................................. 11 Comparing Common and Decimal Fractions .............................................................. 14 Common and Decimal Fractions on Number Lines ............................................................. 16 Fraction Addition Strategies ................................................................................. 18

Bridge to a Whole .................................................................................... 19 Doubling Strategies ................................................................................... 23 Fraction Subtraction Activities .............................................................................. 27 Round and Adjust .................................................................................... 28 Decompose a Whole ................................................................................. 28 Find the Missing Part ................................................................................ 29 Counting Up on a Number Line ..................................................................... 30 Fraction Addition and Subtraction Practice ................................................................. 32 Whole Number Multiplication Practice .................................................................... 33 Equal Grouping Model .............................................................................. 33 Area Model ............................................................................................ 35 Fraction Multiplication--Mixed Numbers ................................................................. 37 Area Model Multiplication Practice ................................................................ 38 Partial Quotient Practice ...................................................................................... 39 Measurement Activities ...................................................................................... 39 Money ................................................................................................. 39 Conversions ........................................................................................... 41 Angles ................................................................................................. 42 Geometry ....................................................................................................... 43 2D & 3D Shape Attributes .......................................................................... 43 Symmetry .............................................................................................. 45 Coordinate Geometry ................................................................................ 45

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Number Activities

Activity 1--Biggest, Smallest, Closest

Materials: ? 10, 3" by 5" index cards cut in half (game pieces). Note: If there are more than 2 players you will need 5 additional index cards for each player. ? A sheet of plain paper cut in half (gameboards). Tape the two halves together.

? Prepare the materials:

o Cut the 10 index cards as shown above.

o Turn each index card to look like a tall rectangle.

o On the first card write a large "0". o On the second card write a large "1".

0

1

o Continue until you have 2 sets

of cards for 0 to 9.

0 1 2 3 4 5 678 9

012345 6789

Note: For 3 players you will need 3 sets of cards. For 4 players you will need 4 sets of cards, etc. o Cut a plain sheet of paper into 2 pieces as shown above. Tape the 2 halves together to make a long strip. You'll

need one gameboard per person. o On the front of the gameboard place 4 lines across the bottom that are the width of the

numeral cards. On the back of the gameboard place 5 lines across the bottom.

Front

Back

? To play the game: o Shuffle all of the cards together and place face down in the center of the playing area. o Begin with the side with 4 lines (4-digit numbers). o Players take turns choosing the top card off of the deck and placing in one of the spots on their gameboard. Once a piece is placed it may not be moved. o Goal: Make the largest number possible.

? Variations: o Make the smallest number possible. o The number closest to 5000 (or another 4-digit number such as 3000, 6500, 7200, etc.). o Use the 5-digit gameboard (on the back) and make the largest number possible, the smallest number possible, or the number closest to 50,000 (or another 5-dgit number such as 30000, 42500, 70000, etc.).

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Note: I put a comma in 50,000 but not in 30000, 42500, 70000. The comma is not required. It is helpful to distinguish the periods (thousands from the units; later millions) but it is not required. I could have written fifty thousand as 50000 and thirty thousand as 30,000. Both are correct.

o Make a new gameboard (you can also modify the above gameboards).

Front

Back

Your child can also play a decimal version of the game. In grade 5, your child is expected to be able to work with and compare decimals to thousandths. Using these decimal game boards the goals could be the same: largest, smallest, closest to 10, closest to a whole number, etc.

Open Number Lines--Number Line Concentration Cards In grade 3, your child began working with open number lines. An open number line is a number line on which only some of the hash marks are given. We use benchmarks such as halfway points to find the values on the number line. For example, in the number line below, the endpoint 0 and 1000 are given. Your child is asked to find the halfway point, 500.

?

0

1000

In grade 4, he or she continued to work with open number lines for both whole numbers and for fractions. In grade 5 we need to ensure that your child is comfortable with open number lines for whole numbers, fractions, and decimals. Your child may be asked to solve problems with "0" as one of the endpoints. He or she may also be asked to find the missing values when the starting number is a number other than 0. For example, in the problem below, your child is asked to find the value that is halfway between 10000 and 30000. (20000)

?

10000

30000

Your child is expected to be able to identify points on an "open" number line. The activities below can be used to build comfort with multi-digit numbers.

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Prep: Print, cut, and shuffle the Number Line Concentration--Grade 5 cards well.

Activity 1--Find the Match

? Shuffle the cards well. ? Place cards face up in 4 rows with 6 cards in each row. ? Take turns finding matches. ? Each player must share how he or she knows it is a match before taking the cards.

Activity 2--Number Line Concentration

? Shuffle the cards well. ? Place cards face down in 4 rows with 6 cards in each row. ? Take turns turning over 2 cards and placing face up in the exact same spaces. ? If the cards match, the player must share how he or she knows it is a match before taking the

cards. (The defense must make sense.) ? If the cards do not match, the player must share how he or she knows the cards do not match

before turning them back over. (The defense must make sense.) ? See who can find the most matches.

Activity 3--Who has more?

? Shuffle the cards well. ? Deal the cards so that each player has the same number of cards. ? Each player places their cards in a stack, face down. ? Each player turns over the top card on the stack. ? The player with the greater number states how they know it is greater. He or she then takes the

cards and places on the bottom of the stack. ? See who can capture all of the cards.

Activity 4--Who has fewer?

? Shuffle the cards well. ? Deal the cards so that each player has the same number of cards. ? Each player places their cards in a stack (face down). ? Each player turns over the top card on the stack. ? The player with the smaller number states how they know it is smaller. He or she then takes

the cards and places on the bottom of the stack. ? See who can capture all of the cards.

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Fractions

In grade 3 students were asked to cut a whole into 2, 4, 8, 3, or 6 equal pieces and name the pieces. In grade 4, your child was asked to cut wholes into 2, 4, 8, 3, 6 12, 5, 10 and 100 equal pieces. Cutting a whole into 10 and 100 equal pieces provides a link to decimals. A fraction kit is a good starting point for many children learning about fractional parts. It helps them understand how to make fractional parts, the importance of equal sized pieces, the importance of the whole needing to be the same size when comparing fractions, etc. The below activity can be used to help your child solidify those understandings, especially if he or she is uncomfortable with fractions.

Activity 1--The Fraction Kit

Materials: Copy of Fraction Strips Master and Fraction Strips with Guide Marks

Fraction Strips Master

Fraction Strips with Guide Marks

Creating AHAs, 2020

Creating AHAs, 2020

? 2 versions of the fraction strip master are available for your child's use. As a greater challenge, use only the Fraction Strips Master. This master has no guide marks. Print 2 copies. Have your child color each strip on one page the same color (e.g., yellow). This will provide extra wholes for later activities. On the second page color each strip different colors. Strip one should be the same color as the wholes on the first page (e.g., yellow).

Fraction Strips Master

Fraction Strips Master

Creating AHAs, 2020

Creating AHAs, 2020

? Have your child cut each of the strips out on both pages. (Note: Colors are used in the instructions below but the specific color is not important. Any colors can be used.)

? Set the yellow strips aside (These will be our wholes). ? Have your child fold the orange strip into 2 equal pieces and cut apart. ? Have your child fold the green strip into 4 equal pieces and cut apart. ? Have your child fold the red strip into 8 equal pieces and cut apart. ? Have your child fold the blue strip into 3 equal pieces and cut apart. ? Have your child fold the purple strip into 6 equal pieces and cut apart. ? Have your child fold the pink strip into 12 equal pieces and cut apart.

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Note: It is important that these strips are not labeled with the fraction names. We want your child to have the repeated practice of naming fractions. That is, if I have 6 purple pieces in the whole, then a purple must be 1/6. If I have 8 red pieces in a whole, then 1 red must be 1/8.

? For a less challenging version of the above, use the Fraction Strips with Guide Marks Master. This sheet provides guide marks for folding the strips. It is important that your child is able to create fractional units. If this is a struggle, have her or him do additional activities with playdough. See Activity 2.

Fraction Strips Master

Fraction Strips with Guide Marks

Creating AHAs, 2020

Creating AHAs, 2020

Activity 2--Fair and square with play-dough

The following activity can be done if additional practice is needed making fractional parts. It is important for your child to spend time cutting wholes into parts in multiple ways and proving that they are the same size. Regions can have equal areas but not look the same. For example, we can cut a rectangle into fourths using 2 diagonal lines.

At first glance the triangles appear to be different sizes. However, they do have the same area. We can cut the one triangle in half as shown on the right.

We can rotate and move the smaller triangles. We get the other triangle.

? Have your child mold the play-dough into a rectangle. ? Have your child cut the rectangle into 2 equal pieces and draw a picture to match. ? Have your child see if he or she can cut their rectangle into 2 different equal pieces in more

than one way.

? Have him or her draw a picture to show each way that he or she cut the rectangle. ? Repeat for a circular play-dough disc. (He or she can use the play-dough container to

cut out the circular disc.) ? Have him or her draw a picture to show each way that he or she cut the disc. It may

be difficult to be "creative" in cutting a circular disc into 2 sections. One possibility is shown on the right. Note: Your child should be able to prove that the sections are the same size. ? Have your child roll the play-dough into a long tube or "snake." The drawing for the snake will look like a long rectangle.

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This drawing will be very useful in grades 4 and 5 as the children learn to add, subtract, multiply, and divide fractions.

Note: The above activities can span several days.

Repeat the above activity for 4 equal pieces on a different day. Repeat the above activity for 8 equal pieces on a different day. Repeat the above activity for 3 equal pieces on a different day. Repeat the above activity for 6 equal pieces on a different day.

Additional Practice with Simple Fractions--Activities using Grade 5 Fraction Concentration Cards

Prep: Print, cut, and shuffle the Grade 5 Fraction Concentration cards well.

Activity 1--Name that fraction with Grade 5 Fraction Concentration Cards

? Shuffle the cards well. ? Flash a card quickly. ? Have your child name the fraction they see. ? For cards showing fraction symbols (e.g., ?, ?, ?), have your child read in more than one

way. For ?, be sure to have your child read as three-fourths and 3, one-fourth pieces. ? Flash the card again quickly. ? Ask your child if he or she changed his or her mind. ? Show the card so your child can check. ? Repeat for the remaining cards.

Activity 2--Write that fraction with Grade 5 Fraction Concentration Cards

? Remove the fraction symbol cards from the deck (e.g., ?, ?, ?, etc.). ? Shuffle the remaining cards well. ? Flash a card quickly. ? Have your child write the fraction that goes with what they see (For example, ?, ?, ?, etc.) ? Flash the card again quickly. ? Ask your child if he or she changed his or her mind. ? Show the card so your child can check. ? Repeat for the remaining cards.

Activity 3--Write the number word with Grade 5 Fraction Concentration Cards

? Shuffle the cards well. ? Flash a card quickly. ? Have your child write the number word that goes with the image on the card (For example,

one-third, three-eighths, etc.). ? Flash the card again quickly. ? Ask your child if he or she changed his or her mind. ? Show the card so your child can check. ? Repeat for the remaining cards.

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Activity 4--Fraction Match with Grade 5 Fraction Concentration Cards

? Shuffle the cards well. ? Place cards face up in 4 rows with 6 cards in each row. ? Take turns finding matches. ? Each player must share how he or she knows it is a match before taking the cards.

Activity 5--Fraction Concentration with Grade 5 Fraction Concentration Cards

? Shuffle the cards well. ? Place cards face down in 4 rows with 6 cards in each row. ? Take turns turning over 2 cards and placing face up in the exact same spaces. ? If the cards match, the player must share how he or she knows it is a match before taking the

cards. (The defense must make sense.) ? If the cards do not match, the player must share how he or she knows the cards do not match

before turning them back over. (The defense must make sense.) ? See who can find the most matches.

Fractions less than 1 and Mixed Numbers

Activity 1--All of the ways to make a fraction

It is important for your child to understand that there are many different ways to make a fraction and mixed number using 1s, halves, thirds, fourths, sixths, eighths, twelfths and other fractional parts. For example, 3? can be made with 3 wholes and one-half; OR 2 wholes and 6 fourths; OR 2 wholes, 2 halves, and 3 sixths, etc.

Note: Please allow your child to develop their own strategies for making sure they have found all of the ways. Tricks can prevent him or her from having this valuable problem-solving experience. This understanding and flexibility in playing with numbers will help them become more efficient and fluent when adding, subtracting, multiplying, and dividing.

Prep: At least one fraction kit with extra wholes, blank paper, pencil or crayon

? Have your child fold a sheet of paper into 4 equal sections. ? Pick a fraction less than one or a mixed number (e.g., ?, 3?, 2?).

? Have your child write the number in the center of the paper.

3?

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