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:

ROCK OBSERVATIONS

Take a walk outside and collect 10 different rocks. Classify each of your rocks based on the properties listed in the chart. Create 4 different bar graphs to represent the data from each of the 4 properties listed in the chart. What do you think causes the rocks to be smooth or sharp, big or small, dull or shiny, different colors?

DUCK EGG STORY PROBLEM (15 min)

Ten ducks went down to the pond. Three of them laid eggs. They each laid 5 eggs. Some eggs hatched. There are now 8 ducklings. How many eggs are left?

SPORT CARD COLLECTION STORY PROBLEM (15 min)

Jessica had a collection of sports cards. She gave half of them to her friend William and a fourth of them to her sister. She has 75 cards left. How many cards did Jessica have in the beginning?

MYSTERY NUMBERS (15 - 30 min)

In the thousands place, I am an odd number greater than 5 but less than 9.

In the hundreds place, I am the sum of 4 + 4.

In the tens place, I am the difference of 9-6.

In the ones place, I am a 4.

The sum of all my digits is 22.

Record your answer.

In the thousands place, I am the sum of 4 + 0.

In the hundreds place, I am the difference of 10 – 1.

In the tens place, I am a 3.

In the ones place, I am an even number smaller than 8 but larger than 4.

The sum of all my digits is 22.

Record your answer.

RECYCLING COLLECTION STORY PROBLEM (30 min)

Cameron collects recyclable containers to take to the recycling center. On Tuesday, Wednesday and Thursday, he collected 45 containers each day. On Monday, Friday, Saturday and Sunday, he collected 39 containers each day. Cameron gets a nickel for each container he recycles. How much money did Cameron get for his recyclables last week?

Cameron kept five dollars for himself. He donated the remainder of the money equally between the SPCA and the Food Bank. How much money did each charity receive?

GAME OF PIG: ADDITION TO 50 (15 - 30 min)

1 die, pencil and paper (2 or more players)

The first player to get to 50 points is the winner. Players take turns rolling the die as many times as they want. Each new amount rolled is mentally added to the previous one. At the end of the turn, the player records the total sum on the paper. If a player rolls a 1, the entire amount for that turn becomes 0 and the next player takes a turn. If a player rolls two 1s, the entire amount for the game becomes 0 and the next player takes a turn. This game could be played with 2 dice. This game could be played to 100.

WEATHER TRACKING (15 - 30 min)

Track the weather for the next two weeks. Create a two-week schedule using the days of the week as headings. Under each heading, record the weather for the day. Use the following weather words: sunny, cloudy, rainy, snowy cold, cool and warm. If possible, add the air temperature in degrees for each day. At the end of the two weeks, create a weather bar graph. Tell which type of weather was most common. Tell which type of weather was least common. Explain why that happened.

CHOCOLATE SQUARE TABLE (15 min)

If there are 12 squares in a bar of chocolate, complete this table to show what you know about the number of squares in more bars.

Grade 5 - Numeracy

Children in Grade 5 may choose to participate in 1-2 choice learning activities each day for numeracy. Choice activities for numeracy include:

# 1 6-DIGIT WINNER (30 min)

Game for 2 or more players

Each player draws 6 lines on a piece of paper like so: __ __ __ __ __ __ . The lines represent the place value positions of a 6-digit number. Players take turns drawing a digit card (or rocks with numbers on them which you may have created previously). During each turn, each player places the rock/digit card drawn on a position (line) on their paper. Play continues until each player has created a 6-digit number. The player with the largest number wins that round. Winner: The first player to win 8 rounds.

# 2 WHAT IS THE QUESTION? (15 min)

The answer to a multiplication question is 240. What are some possible questions?

#3 JACK JUMP! (30 min)

At the gym 4 people did 85 jumping jacks each. How many jumping jacks did they do all together? Make a small poster showing 3 ways to solve this problem. Example: base ten drawings; number line; array; etc.

#4 WHERE'S THE BLOOPER? (30 min)

Find the mistake in Laura’s work:

456 723 = (4 × 100 000) + (5 × 50 000) + (6 × 1000) + (7 × 100) + (2 × 10) + (3 × 1). Create your own blooper and find someone to solve it.

#5 STAY LOW (30 min)

Materials: 4 sets of rock/digit cards, paper and pencil. Each player gets two sets of rock/digit cards. Together each player flips over their top three rocks/cards. Players create a 2-digit number with two of the rocks/cards. Multiply this 2-digit number by the third number. The lowest product (answer) wins all the rocks/cards.

#6 AGING MATH (30 min)

There are 365 days in a year. How many days old would you be if you were 9 years old? Challenge: How many days old are you today?

Dog Gone It! A year in a dog’s life is said to be equal to 7 human years. If Finn is 84 human years old, how old is he in dog years?

#7 REPRESENT 6-DIGIT NUMBERS (30 min)

Draw 6 rock/digit cards to create a 6-digit number. Represent your 6-digit number in standard form, expanded form, word form and draw counters on a place value chart that you create on paper.

Example: Standard Form: 320 423; Expanded Form: 300 000 + 20 000 + 400 + 20 + 3; Word Form: three hundred twenty thousand four hundred twenty-three; Place Value Chart with Counters: see image of chart.

#8 NUMBER RIDDLE (30 min)

My number has 6 digits. The hundred thousands digit is the number you have in a pair. The thousands digit is the number of toes on one foot. The tens digit is the number of days in a week. The ones digit is half of 16. The hundreds digit is the first digit you use when you call for an emergency. The ten thousands digit is half of a dozen. Challenge: Create your own 4, 5, or 6-digit number riddle.

#9 FLOWER POWER (30 min)

You arrange flowers into equal-sized groups and there are 2 flowers left over. How many flowers might there be in total? Draw a picture of possible flower arrangements. Challenge: Write an equation for each picture.

#10 NUMBER LINE PLOT (30 min)

Select four rock/digit cards. Create a 4-digit number and record the number in the chart. Repeat 5 more times. Order your 6 numbers in the chart from least to greatest. Plot all of your numbers on the number line.

Grade 6 - Numeracy

A topic for grade 6 math is Measurement and Geometry. This requires students to have an understanding of angles, triangles, and polygons. The following activities give students the opportunity to review, practice and build on what they already know about these topics.

# 1 CREATE A FIGURE (30 minutes)

Here is a board made of colour patches.

Some of the ratios (part-to-whole) 4:100 ; 12:100 ; 24:100

The related percentages : 4% ; 12% ; 24%

The related fractions 4/100 , 12/100 , 24/100

The related decimals 0.04 (4 hundredths) ; 0.12 (12 hundredths) , 0.24 (24 hundredths)

Create your own colour patches and find as many ratios (part-to-whole) as you can. Change your ratios to percent, fractions and decimals.

# 2 FINDING EQUIVALENT RATIOS

Read the information about equivalent ratios.

Use the numbers from the table to create equivalent ratios. Draw a number line and/or a table to show your equivalent ratios.

Write as many ratios as you can find that are equivalent to 1:2 ; 2:3 ; 3:5 and 1:2:3

#3 ANGLE EXPLORATION (20-30 minutes)

Using your body form the following angles; straight, obtuse, right , acute and reflex.

Recap: 180° is the angle measurement of a straight line. The angle at the corner of a piece of paper has an angle of 90°. Fold the corner in half, now the angle is 45°.

Find five objects for each of the following angles; acute, right (90°), obtuse, straight (180°) and 45°. Check your angles with your folded pieces of paper.

Draw the angles and sort them as acute, right, obtuse, straight, and reflex. Which angle is the most common? least common? Explain your thinking.

#4 UPPER CASE ANGLES (25-30 minutes)

Look at these letters.

A B D E F G H I K L M N P R T V W X Y Z

Which letters have 45°, 90° and 180° angles? Which letter has all three angles in it ?

Spell your name and other people's names. What angles are in the names and what do you notice ?

#5 CLASSIFYING TRIANGLES (20-30 minutes)

Read the image about classifying triangles. Trace the triangles, cut them out and classify them according to their length and their angles. Find the sum of all the angles to each triangle. What do you notice? Can you classify them in a Venn diagram, one labeled scalene, and one labeled acute? What do you notice? Are there similarities?

#6 CITY OF TRIANGLOPOLIS (20-30 minutes)

The city of Trianglopolis needs a new flag. You are tasked with creating a flag using only triangles; scalene, isosceles, equilateral. Decorate your flag and challenge someone to find all the triangles.

#7 REFLECT: (20-30 minutes)

Draw 3 triangles and describe them as many ways as you can.

Describe each type of angle. Draw a figure and describe as many angles in it as you can.

Hint: Math words: acute angle, acute triangle, congruent, equilateral, isosceles, obtuse angle, obtuse triangle, right angle, right triangle, scalene, reflex angle, side, length

#8 PUZZLE:

Place the symbol, (+, - , x, ÷ ), between each of the numerals to make the equations true. Some symbols are used more than once and some may not be used at all. You cannot rearrange the numerals. Hint: Remember to use the order of operations.

1 2 3 4 5 6 7 8 9 = 100