Grades 4-6 Numeracy
GRADE 4 - NUMERACY
Children in Grade 4 may choose to participate in 1-2 choice learning activities each day for numeracy. Choice activities for numeracy include:
PLACE VALUE PRACTICE (15-30)
Use a deck of cards with the 10s and face cards removed to complete this activity.
Use 4 cards to create 3 four-digit numbers. Record all 3 numbers as numerals. Print the numbers in order from greatest to least. Repeat this activity 5 times.
ADDITION PRACTICE (15-30)
Use a deck of cards with the 10s and face cards removed to complete this activity.
Use 8 cards to create 2 four-digit numbers. Add the numbers together. Record your work on paper. Repeat this activity 5 times.
SUBTRACTION PRACTICE (15-30)
Use a deck of cards with the 10s and face cards removed to complete this activity. Use 8 cards to create 2 fourdigit numbers. Subtract the lesser number from the greater number.
Record your work on paper. Repeat this activity 5 times.
SALES MATH (15-30)
You are planning a meal for you and someone in the house. Estimate what you think it might cost then look through the sales flyers and calculate the actual cost.
MATH SCAVENGER HUNT (15-30)
Look through flyers or newspapers for these 20 math items.
1. numeral in word form;
2. numeral in digit form;
3. table of data;
4. circle graph;
5. bar graph;
6. line graph or timeline;
7. polygon; 8. temperature;
9. date;
10. fraction;
11. number greater than one thousand;
12. price with dollars and cents;
13. time;
14. line longer than 5 cm;
15. pattern;
16. recipe;
17. height and length of something;
18. unit of measure (cm, m, km, mL, L, g, kg);
19.coupon;
20. prices
WHAT DO YOU DO? (15-30)
Record the digital time for each analog clock. Write an activity that you might do at each of these times. Tell whether they are a.m. or p.m.
NUMBER STRINGS (15-30)
Break each number into its place value to solve the following mental math equations. Record your answers.
28 + 11
14 + 35
22 + 15
18 + 31
74 + 18
58 + 28
37 + 26
46 + 38
354 + 111
267 + 232
215 + 136
342 + 64
386 + 147
216 + 388
424 + 193
370 + 267
SYMMETRY ART (15-30)
Take a blank piece of paper and fold in half so that the corners meet. Unfold your paper. Add a design to one side of the paper. Fold the paper again so that the picture is facing outward. Tape the picture side of the paper to a window and trace your design. Take your design down and add colour. What is the word we use to describe two parts that are reflected over a line?
SURVEY (15-30)
Create a question that you would like to ask everyone in your house. Make a list of possible answers. For example,
“What is your favourite time of day?”
Possible answers: morning, lunchtime, afternoon, dinnertime, evening, night. Print your question and answers on paper. Ask everyone to answer your question.
If it's possible, call other people that do not live with you. As each person answers your question, place a tally mark next to the response. When you finish your survey, create a bar graph with your data. Present your graph to someone in your house.
NUMBER BLOCK PUZZLE (15-30)
Try to fill in the missing numbers. The missing numbersare between 0 and 100. The numbers in each row anddiagonal line add up to totals to the right. The numbers ineach column add up to the totals along the bottom.
GRADE 5 - NUMERACY
Children in Grade 5 may choose to participate in 1-2 choice learning activities eachday for numeracy. Choice activities for numeracy include:
NAME IT! (20 MIN)
How many times would you have to write your first name to have more than 100letters?
SKIP BY 1000! (15 MIN)
Use the digit cards to create a four-digit number. What is the number that is 1000more? Continue to skip count by 1000. How far can you go?
Challenge: Create afive-digit number and skip count by 1000. How far can you go?
TWENTY-FIVE THOUSAND WHAT? (15 MIN)
What real-life situations might the number 25 000 describe? Challenge: Whatreal-life situations might the number 100 000 describe?
MY FAVOURITE ROOM (20 MIN)
Estimate the perimeter of a favorite room where you live. Use one of your stepsas your unit. How many steps actually make up the perimeter of your favorite room?
(Remember the perimeter is the distance around the room.)
Challenge: Can you nowcalculate the area of the room?
RECTANGLE RIDDLE (15 MIN)
The following rectangles all have a perimeter of 18 cm: (1 cm Å~ 8 cm), (2 cm Å~ 7cm), (3 cm Å~ 6 cm), and (4 cm Å~ 5 cm). Which of these rectangles has the largest area?
Which has the smallest area?
What do you notice?
PLAYING WITH PATTERNS (15 MIN)
What are the next three numbers in the following increasing pattern: 1072,1082, 1092, ___, ___, __.
The 5th number in an increasing number pattern is close to 50, but not exactly 50. What might the pattern be?
Record the pattern. Describe the pattern rule.
Challenge: What other patterns could there be? (Pattern Rule example: Start at ______, add ______ each time)
MONEY MYSTERY (20 MIN)
You have 20 coins on the table. How much money could you have? Draw a picture of the coins. Repeat for other coin combinations. Challenge: You have 6 coins in your pocket that are worth $1.75. What coins could you have in your pocket?
CREATIVE MULTIPLICATION TABLE (60 MIN)
Create your own multiplication table (to 9x9). Describe some increasing patterns and decreasing patterns that you see in the multiplication table.
Let’s move:
Practice skip counting while you do jumping jacks or push ups. Start skip counting by 2’s and 5’s. Can you skip count by 3, 4, 6, 7, 8, and 9?
MOVEMENT MULTIPLICATION (30 MIN)
This will get you moving!
Materials:
2 sets of number cards 1-9
How to play:
Choose 2 numbers. Multiply them.
Find your answer in the chart below and do theactivity that many times.
For example, If I choose 4 and 6 the answer is 24. I would have to do 24 jumping jacks! Keep track of your reps. How many reps can you do?
Challenge: Can you reach 100 reps? (reps - repetitions) If your answer is between:
Activities: 1-11 Tuck jumps (jump while bringing knees close to body);
12-21 Skip jumps (feet together and pretend you are skipping rope);
22-31Jumping Jacks;
32-41 Star Jump (jump while spreading arms and legs like a star);
42-51 Air Squats (pretend you are about to sit in a chair, then stand back up);
52-61; Lateral Hops (feet together, hop side to side);
62-71 Walking Lunges;
72-81; High Knees (walk or run on the spot, bring knees high while seated )
MULTIPLICATION SCAVENGER HUNT AT HOME (30 MIN)
Materials: Digit cards 1-9. Have someone hide the digit cards around the house.
Choose any five activities.
Find a number. Multiply that number by the number of people who live in your home. Find a number. Multiply that number by the number of spoons in your home.
Find a number. Multiply that number by the number of light switches in your home.
Find a number. Multiply that number by the number of doors in your home.
Find a number. Multiply that number by the number of steps that it takes you to go from your bed to your fridge.
Find a number. Multiply that number by the number of chairs that are currently around your table.
Find a number. Multiply that number by the number of windows in your home. Find a number. Multiply that number by the number of fridges in your kitchen.
Find a number. Multiply that number by the number of zebras in your home.
GRADE 6 - NUMERACY
Students in Grade 6 may choose to participate in 1-2 choice learning activities each day for Numeracy. Please complete the activities in the order given because new concepts are being introduced.
# 1 INTRODUCTION TO IMPROPER FRACTIONS & MIXED NUMBERS (15- 25 MINUTES)
This shows a mixed number of one whole and one half is equivalent to an improper fraction of three halves. Draw each of the modeled fractions hown here. Write the mixed number and the equivalent improper fraction next to each.
# 2. CREATING IMPROPER FRACTIONS & MIXED NUMBERS (15 TO 20 MINS)
Using the Digit cards 1-9 you’ve created, make as many improper fractions as you can and record them on pieces of paper or cardboard.
Represent your improper fractions using a model or a picture and record the equivalent mixed number. Record these in your journal.
Extension: You can now place the improper fractions on a number line or order them from greatest to least or from least to greatest. You can also play a memory game with your improper fraction and their related picture. Mix and then match them.
# 3 CARD GAME: WAR OF IMPROPER FRACTIONS & MIXED NUMBERS
(15-25 MINS)
Use the set of cards you have created. Deal four cards to each player. Use any two of the four cards in your hand to create an improper fraction (one card as the numerator and one card as the denominator). Show your fraction to your partner and determine which player has the greatest fraction.
Tip: It may be helpful to change the improper fraction to a picture or the equivalent mixed number. The player with the greatest fraction will score one point. The first player who gets to five points wins.
#4 USING A NUMBER LINE WITH MIXED NUMBERS & IMPROPER
FRACTIONS (20-30 MINS)
Create your own open number line on paper, the back of a spaghetti box, use a piece of string from around the house, a branch from outside or draw a line in the dirt. Remember to place your benchmarks (your guide lines 1, 2, 3, 4 and 5). Use the provided fraction cards to create mixed numbers (3 cards) and improper fractions (2 cards) then, place them on your number line.
Tip: Change the improper fractions to mixed numbers. Write about what you discovered about mixed numbers and improper fractions on a number line.
#5 LEMONADE RATIO (25-30 MINUTES)
Here is a recipe for lemonade: List all the part-to-part ratios you can draw from this data. List all the part-to-whole ratios you can draw from this data.
#6 RATIOS AROUND THE HOUSE (20-30 MINUTES)
Make a drawing that shows a ratio situation (ex: draw circles and squares of various sizes and colors) or choose from the items below that can be found around your house and record all the possible ratios that you can think of that describe your situation.
Remember there are 2 types of ratios. The ratio of sweaters with a hood (hoodies) to no hood; the ratio of forks to spoons; the ratio of sneakers to boots; the ratio of colored mini eggs in a bag; the ratios of screws and nails in a jar; your choice.
#7 MINDFUL MATH RATIOS (15 MINUTES)
Ask someone to time you (or set a timer) Record the number of your heart rate (heart beats per 1 minute/60 seconds) and the number of breaths you take.
Do 10 minutes of exercise (jumping jacks, running, crunches, pushups. walking) and record your heart rate and breaths again.
What type of ratio must you use here? How do you know? What is the ratio of heart rate and breaths before to after exercise? Explain why you think it is this way.
#6 RATIOS AROUND THE HOUSE (20-30 MINUTES)
Make a drawing that shows a ratio situation (ex: draw circles and squares of various sizes and colors) or choose from the items below that can be found around your house and record all the possible ratios that you can think of that describe your situation.
Remember there are 2 types of ratios. The ratio of sweaters with a hood (hoodies) to no hood; the ratio of forks to spoons; the ratio of sneakers to boots; the ratio of colored mini eggs in a bag; the ratios of screws and nails in a jar; your choice.
#7 MINDFUL MATH RATIOS (15 MINUTES)
Ask someone to time you (or set a timer) Record the number of your heart rate (heart beats per 1 minute/60 seconds) and the number of breaths you take. Do 10 minutes of exercise (jumping jacks, running, crunches, pushups. walking) and record your heart rate and breaths again. What type of ratio must you use here? How do you know? What is the ratio of heart rate and breaths before to after exercise? Explain why you think it is this way.
#8 MOWING THE LAWN (15 MINUTES)
Zach has to mow the lawn before he can play his computer game. If Zach mowed one third of the lawn before lunch and then mowed half of what was left before supper. How much lawn does he have left to mow before he can play his computer game ? Tip: Draw a picture to help you solve. Construct a problem of your own and get a family member or call a friend and ask them to solve it both pictorially and symbolically.
#9 SMARTIES RATIOS (20 MINUTES)
Lily emptied a box Smarties on the table. She counted 5 red Smarties, 15 yellow Smarties and 12 green smarties. What is the ratio of red Smarties to green Smarties?
How many other ratios can you make?
#10. HUMAN BODY RATIOS (30 MINUTES)
Use a piece of string and measure the following to determine if the statements are true. Have you ever heard the old saying, “Once around the waist, twice around the neck; once around the neck, twice around the wrist.” Some other discoveries; Compare the length of your foot to the length of your forearm (your arm between the elbow and the wrist). Compare the length of your nose to the width of your first two sections of your index finger. Compare the distance between your thumb and your pinky finger on your outstretched hand and the distance between your elbow and your wrist. Measure your arms wingspan (measured from the tips of your middle fingers) to your height. Compare the height of your face to the length of your hand. What did you discover all these ratios are? Compare your height to the circumference of your head. What is this ratio? Measure yourself and some other member of your family and record each ratio. What do you notice?
#11. A LOOK INTO NEXT WEEK’S FLYER
Percent is a part-to-whole ratio that compares a number to 100. If you buy 100 pieces of starburst candies. 25 are yellow, 25 are pink, 30 are green and the rest are purple. The ratio of yellow starburst to all the starburst is 25:100. This ratio is the same as saying that 25 out of 100 of the starburst are yellow or 25 % of the starburst are yellow. What are the ratios and the percents of the other colours of starbursts?