# Fractions/Percent/ Unit Rate/Ratio

## 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 real-life 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?).

## Fractions

Math Antics - Fractions Are Parts

## _______________

Math Antics - Working With Parts

## Find a fraction between 5/4 and 1 4/6

A fraction between 5/4 and 1 and 4/6 is _________________________.

## Learning Goal:

We are learning to estimate (educated guess) quantities using benchmarks of 10%, 25%, 50%, 75%, and 100%.

## What are percentages? (Watch until 4:15 of video)

Math Antics - What Are Percentages?

## 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%);

1/4

1/5

1/10

1/20

1/25

1/50

1/100

## Ratio - (Watch Video Up Until 5:09)

Math Antics - Ratios And Rates

## Rate (Start video at 5:09)

Math Antics - Ratios And Rates
6th Grade Math Rate and Unit Rate

## 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.).

## Performing Math Operations must be preformed in a certain way.

Example: 3 + 2 x 5

Therefore:

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).

## Composite Numbers - A whole number that can be divided evenly by numbers other than 1 or itself.

Example: 9 can be divided evenly by 3 (as well as 1 and 9), so 9 is a composite number.

## Prime Numbers - A whole number that can ONLY be divided evenly by 1 and itself.

7 cannot be divided evenly (except by 1 and 7), so is NOT a composite number (it is a prime number).