Fractions/Percent/ Unit Rate/Ratio
Number Sense & Numeration  Grade 6
Overall Expectations:

proper and improper fractions, and mixed numbers;

demonstrate an understanding of relationships involving percent, ratio and unit rate.
Specific Expectations: Fractions
 represent, compare, and order fractional amounts with unlike denominators, including proper and improper fractions and mixed numbers, using a variety of tools (e.g., fraction circles, Cuisenaire rods, drawings, number lines, calculators) and using standard fractional notation (Sample problem: Use fraction strips to show that 1 1/2 is greater than 5/4 .);
 estimate quantities using benchmarks of 10%, 25%, 50%, 75%, and 100% (e.g., the container is about 75% full; approximately 50% of our students walk to school);
Proportional Relationships:
By the end of Grade 6, students will:

represent ratios found in reallife contexts, using concrete materials, drawings, and standard fractional notation (Sample problem: In a classroom of 28 students, 12 are female.What is the ratio of male students to female students?);

determine and explain, through investigation using concrete materials, drawings, and calculators, the relationships among fractions (i.e., with denominators of 2, 4, 5, 10, 20, 25, 50, and 100), decimal numbers, and percents (e.g., use a 10 x 10
grid to show that 14 = 0.25 or 25%);

represent relationships using unit rates (Sample problem: If 5 batteries cost $4.75, what is the cost of 1 battery?).
Let's Investigate Fractions!
Where are fractions found in reallife?
Could this be true? (We'll get back to this)
Why are these funny?
Virtual Manipulatives
Mathies.ca
What is this funny chart?
How can you use it?
Fractions
Compare & Equivalent Fractions (Up to 2:22 only of video)
Hands On  Represent
How Big Is 1/3?
What is another fraction that is equivalent to 1/3?
How many ways can you represent it?
Hands On  Represent
Represent 1/4
How many ways can you represent it?
Exit Ticket
Represent 2/3  How many ways can you represent it?
_______________
Activation
What strategies can you use to compare the burgers?
Hands On
Exit Ticket
Which is larger 5/6 or 2/3? Convince me!
Write as many equivalent fractions as you can.
Represent these fractions.
Then answer the question, which fraction has the smallest value?
Activate
How would you represent this fraction 5/4?
Hands On
Exit Ticket
Activation
How can you compare 17/20 and 22/25?
Why do we need to compare fractions? What is it we are doing?
Hands On
Exit Ticket
Which fractions are equal? Please prove with 2 strategies :)
1/2, 12/20, 15/25, 60/100
Exit Ticket
Find a fraction between 5/4 and 1 4/6
Percentages
Learning Goal:
What is a percentage?
Can these fractions be written as percentages?
What are percentages? (Watch until 4:15 of video)
This class has approximately 20 students. 25% of students say strawberry is their favourite flavour of ice cream. How many students does that represent?
What strategies can you use to figure out the answer?
Hands On
Exit Ticket
Learning Goal
We are learning to use denominators of 2, 4, 5, 10, 20, 25, 50, and 100), decimal numbers, and percents (e.g., use a 10 x 10 grid to show that 14 = 0.25 or 25%);
How do we make fractions into percents?
What is 1/2 as a percent?
1/5
1/10
1/20
1/25
1/50
1/100
What strategy can we use to turn these fractions into percents?
Hands On
Exit Ticket
Ratio
Can you put ratio into your own words?
Ratio  (Watch Video Up Until 5:09)
Activation
How do put fractions in their lowest form?
Hands On
Exit Ticket
Unit Rate
https://www.smore.com/myrzy
What is unit rate?
Rate (Start video at 5:09)
Hands On
Exit Ticket
Order Of Operations
Order Of Operations:

explain the need for a standard order for performing operations, by investigating the impact that changing the order has when performing a series of operations (Sample problem: Calculate and compare the answers to 3 + 2 x 5 using a basic four function calculator and using a scientific calculator.).
Does it matter how we answer a math questions with different operations?
Performing Math Operations must be preformed in a certain way.
Multiplication or division are done before addition or subtraction, it depends on the in order in which they appear.
3 + 2 x 5
= 3 + 10
= 13
Prime Numbers and Factors
 identify composite numbers and prime numbers, and explain the relationship between them (i.e., any composite num ber can be factored into prime factors) (e.g., 42 = 2 x 3 x 7).