GRADE 7 NUMBER SENSE RATIONAL NUMBERS

WORD OF THE DAY: Part of Speech : one of the traditional categories of words intended to reflect their functions in a grammatical context

GOAL: TO USE STRATEGIES FOR PERFORMING OPERATIONS ON INTEGERS TO UNDERSTAND AND SOLVE PROBLEMS INVOLVING RATIONAL NUMBERS.

S.W.B.A.T: D.O.K: 1-2  Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (–1)(–1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts.  Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If p and q are integers, then –(p/q) = (–p)/q = p/(– q). Interpret quotients of rational numbers by describing real-world contexts.  Apply properties of operations as strategies to multiply and divide rational numbers.  Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.

WARM UP: Multiplication & division of Integers.

ALGEBRA:

10 MINUTE CHECK

DIVISION:

ALGEBRA:

10 MINUTE CHECK:

RATIONAL NUMBERS: Numbers that can be written as fractions a/b, where a is an integer and b is a natural number, are called rational numbers. Remember that even an integer like 5 can be written as a fraction by dividing it by 1: 5/1. So you can see that all integers are rational numbers. Since decimals that end and repeat can be written in this form ( = 2/3), they also are rational numbers.

CORE FACTS: RATIONAL NUMBERS:  Can be expressed as a fraction.  Decimal form either ends or repeats.

CONVERTING FRACTIONS TO DECIMALS : Just divide the top of the fraction by the bottom. If the fraction has 10, 100 or 1000 as the denominator Example:

If the fraction isn't like the one above… We need to divide the numerator by the denominator. Example: So, to write 5/8 as a decimal, we need to calculate 5 ÷ 8. ACTIVITY: Ivy is making a recipe that needs 7/20 pounds of flour. Her kitchen scale only displays decimals. Write the decimal Ivy should see on her scale for the flour’s weight.

ACTIVTY: Glen is reviewing surveys from his class when he realized that 1/3 of the students had pizza for lunch. Write the decimal representing that statistic. In both questions, what type of number did you get? Explain how you know.

Terminating and repeating decimals. WRITE 3/8 AS A DECIMAL. WRITE -1/40 AS A DECIMAL. WHAT KIND OF DECIMAL DID YOU GET?

GOAL: D.O.K: 1-3 To use strategies for comparing rational numbers to understand and solve real world applications..

CLASSWORK: WARM UP: PAGE 63 – 65.

Why do we need fractions? Fractions are necessary because not everything is complete and we need a way to represent portions of things. Obviously, some things can be represented by a whole number. But, when the quantity of something falls between two whole numbers, it becomes a fraction. Which means that manipulating fractions becomes necessary to understand life itself. Two of the manipulations we are interested in are multiplication and division. To understand these two operations we need to start at simplifying.

FRACTIONS & DECIMALS

WORD OF THE DAY: Precise : sharply exact and accurate.

WORD OF THE DAY: WEEK 1: REVIEW

QUESTION:

4. Jordan wants to buy 5 apples in a store. There are 20 different types of fruit in all. Represent as a: a) fraction b) decimal

5. Renae can choose 60 contestants to advance in an essay writing competition. There are 150 contestants in all. Represent as a: a) fraction b) decimal

6. Represent the following as a decimal and say whether it’s terminating or repeating or neither. a) 7/9 b) 5/12 c) 1/3 d) 2/5

7. Identify the points:

Match the points with the right color. -7/6,.35, -3.5, π, 1.73

How to simplify a fraction:  Find a common factor of the numerator and denominator. A common factor is a number that will divide into both numbers evenly. Two is a common factor of 4 and 14.  Divide both the numerator and denominator by the common factor.  Repeat this process until there are no more common factors.  The fraction is simplified when no more common factors exist.

Another method to simplify a fraction:  Find the Greatest Common Factor (GCF) of the numerator and denominator  Divide the numerator and the denominator by the GCF

What is wrong with the following sample advertisement statement? For one day only, save,1/2, 1/3, 1/4, and even more‼! This is a sale you cannot miss‼!

ANSWER: Each fraction value is less than the previous value, but the ending "and even more" implies that each fraction value is becoming greater in value. The statement is a common mistake that many people make when using fractions. Here, the order of the fractions in the statement is based on the value of the denominator and not on the true value of the fraction.

NUMBER LINES: Plotting rational numbers on a number line STRATEGY:  Split up each unit on the number line using the denominator.  The numerator tells the position of your point

Splitting up a number line:

OVERVEIW:

Which is larger?

Ordering rational numbers:  If expressed as a fraction, ensure the denominators are the same before comparing.  If expressed as decimal, find the first place value that has a different digit and compare them.

Example: Which is larger?

Which is larger?

QUESTIONS:

Order from least to greatest:

ORDERING FRACTIONS:

QUESTIONS:

SUMMARY: SOLVE THE FOLLOWING 1. Find the average score: -10, 4, -3, -9, Reba scored 42 points and was then penalized with a 60 point deduction. What’s her score now? 3. The temperature dropped 6 degrees Celsius each hour for 5 hours. What’s the change in temperature after 5 hours? 4. A submarine at 40 ft below sea level dives 10 ft. What is it’s location now?

ARTIST : JAMIE HARKINS

GREAT JOB EVERYONE!!!!!!!