![Page 1: 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](https://reader030.vdocuments.us/reader030/viewer/2022032607/56649ed95503460f94be886a/html5/thumbnails/1.jpg)
GRADE 7NUMBER SENSERATIONAL NUMBERS
![Page 2: 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](https://reader030.vdocuments.us/reader030/viewer/2022032607/56649ed95503460f94be886a/html5/thumbnails/2.jpg)
WORD OF THE DAY:
Part of Speech: one of the traditional categories of words intended to reflect their functions in a grammatical context
![Page 3: 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](https://reader030.vdocuments.us/reader030/viewer/2022032607/56649ed95503460f94be886a/html5/thumbnails/3.jpg)
GOAL:
TO USE STRATEGIES FOR PERFORMING OPERATIONS ON INTEGERS TO UNDERSTAND AND SOLVE PROBLEMS INVOLVING RATIONAL NUMBERS.
![Page 4: 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](https://reader030.vdocuments.us/reader030/viewer/2022032607/56649ed95503460f94be886a/html5/thumbnails/4.jpg)
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.
![Page 5: 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](https://reader030.vdocuments.us/reader030/viewer/2022032607/56649ed95503460f94be886a/html5/thumbnails/5.jpg)
WARM UP: Multiplication & division of Integers.
![Page 6: 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](https://reader030.vdocuments.us/reader030/viewer/2022032607/56649ed95503460f94be886a/html5/thumbnails/6.jpg)
ALGEBRA:
![Page 7: 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](https://reader030.vdocuments.us/reader030/viewer/2022032607/56649ed95503460f94be886a/html5/thumbnails/7.jpg)
10 MINUTE CHECK
![Page 8: 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](https://reader030.vdocuments.us/reader030/viewer/2022032607/56649ed95503460f94be886a/html5/thumbnails/8.jpg)
DIVISION:
![Page 9: 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](https://reader030.vdocuments.us/reader030/viewer/2022032607/56649ed95503460f94be886a/html5/thumbnails/9.jpg)
ALGEBRA:
![Page 10: 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](https://reader030.vdocuments.us/reader030/viewer/2022032607/56649ed95503460f94be886a/html5/thumbnails/10.jpg)
10 MINUTE CHECK:
![Page 11: 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](https://reader030.vdocuments.us/reader030/viewer/2022032607/56649ed95503460f94be886a/html5/thumbnails/11.jpg)
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 (0.66... = 2/3), they also are rational numbers.
![Page 12: 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](https://reader030.vdocuments.us/reader030/viewer/2022032607/56649ed95503460f94be886a/html5/thumbnails/12.jpg)
CORE FACTS:
RATIONAL NUMBERS:Can be expressed as a fraction.Decimal form either ends or repeats.
![Page 13: 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](https://reader030.vdocuments.us/reader030/viewer/2022032607/56649ed95503460f94be886a/html5/thumbnails/13.jpg)
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:
![Page 14: 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](https://reader030.vdocuments.us/reader030/viewer/2022032607/56649ed95503460f94be886a/html5/thumbnails/14.jpg)
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.
![Page 15: 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](https://reader030.vdocuments.us/reader030/viewer/2022032607/56649ed95503460f94be886a/html5/thumbnails/15.jpg)
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.
![Page 16: 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](https://reader030.vdocuments.us/reader030/viewer/2022032607/56649ed95503460f94be886a/html5/thumbnails/16.jpg)
Terminating and repeating decimals.WRITE 3/8 AS A DECIMAL.
WRITE -1/40 AS A DECIMAL.
WHAT KIND OF DECIMAL DID YOU GET?
![Page 17: 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](https://reader030.vdocuments.us/reader030/viewer/2022032607/56649ed95503460f94be886a/html5/thumbnails/17.jpg)
GOAL: D.O.K: 1-3To use strategies for comparing rational numbers to understand and solve real world applications..
![Page 18: 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](https://reader030.vdocuments.us/reader030/viewer/2022032607/56649ed95503460f94be886a/html5/thumbnails/18.jpg)
CLASSWORK:
WARM UP:
PAGE 63 – 65.
![Page 19: 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](https://reader030.vdocuments.us/reader030/viewer/2022032607/56649ed95503460f94be886a/html5/thumbnails/19.jpg)
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.
![Page 20: 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](https://reader030.vdocuments.us/reader030/viewer/2022032607/56649ed95503460f94be886a/html5/thumbnails/20.jpg)
FRACTIONS & DECIMALS
![Page 21: 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](https://reader030.vdocuments.us/reader030/viewer/2022032607/56649ed95503460f94be886a/html5/thumbnails/21.jpg)
WORD OF THE DAY:
Precise: sharply exact and accurate.
![Page 22: 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](https://reader030.vdocuments.us/reader030/viewer/2022032607/56649ed95503460f94be886a/html5/thumbnails/22.jpg)
WORD OF THE DAY:
WEEK 1: REVIEW
![Page 23: 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](https://reader030.vdocuments.us/reader030/viewer/2022032607/56649ed95503460f94be886a/html5/thumbnails/23.jpg)
QUESTION:
![Page 24: 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](https://reader030.vdocuments.us/reader030/viewer/2022032607/56649ed95503460f94be886a/html5/thumbnails/24.jpg)
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
![Page 25: 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](https://reader030.vdocuments.us/reader030/viewer/2022032607/56649ed95503460f94be886a/html5/thumbnails/25.jpg)
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
![Page 26: 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](https://reader030.vdocuments.us/reader030/viewer/2022032607/56649ed95503460f94be886a/html5/thumbnails/26.jpg)
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
![Page 27: 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](https://reader030.vdocuments.us/reader030/viewer/2022032607/56649ed95503460f94be886a/html5/thumbnails/27.jpg)
7. Identify the points:
![Page 28: 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](https://reader030.vdocuments.us/reader030/viewer/2022032607/56649ed95503460f94be886a/html5/thumbnails/28.jpg)
Match the points with the right color. -7/6, .35, -3.5, π, 1.73
![Page 29: 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](https://reader030.vdocuments.us/reader030/viewer/2022032607/56649ed95503460f94be886a/html5/thumbnails/29.jpg)
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.
![Page 30: 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](https://reader030.vdocuments.us/reader030/viewer/2022032607/56649ed95503460f94be886a/html5/thumbnails/30.jpg)
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
![Page 31: 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](https://reader030.vdocuments.us/reader030/viewer/2022032607/56649ed95503460f94be886a/html5/thumbnails/31.jpg)
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‼!
![Page 32: 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](https://reader030.vdocuments.us/reader030/viewer/2022032607/56649ed95503460f94be886a/html5/thumbnails/32.jpg)
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.
![Page 33: 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](https://reader030.vdocuments.us/reader030/viewer/2022032607/56649ed95503460f94be886a/html5/thumbnails/33.jpg)
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
![Page 34: 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](https://reader030.vdocuments.us/reader030/viewer/2022032607/56649ed95503460f94be886a/html5/thumbnails/34.jpg)
Splitting up a number line:
![Page 35: 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](https://reader030.vdocuments.us/reader030/viewer/2022032607/56649ed95503460f94be886a/html5/thumbnails/35.jpg)
OVERVEIW:
![Page 36: 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](https://reader030.vdocuments.us/reader030/viewer/2022032607/56649ed95503460f94be886a/html5/thumbnails/36.jpg)
Which is larger?
![Page 37: 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](https://reader030.vdocuments.us/reader030/viewer/2022032607/56649ed95503460f94be886a/html5/thumbnails/37.jpg)
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.
![Page 38: 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](https://reader030.vdocuments.us/reader030/viewer/2022032607/56649ed95503460f94be886a/html5/thumbnails/38.jpg)
Example: Which is larger?
![Page 39: 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](https://reader030.vdocuments.us/reader030/viewer/2022032607/56649ed95503460f94be886a/html5/thumbnails/39.jpg)
Which is larger?
![Page 40: 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](https://reader030.vdocuments.us/reader030/viewer/2022032607/56649ed95503460f94be886a/html5/thumbnails/40.jpg)
QUESTIONS:
![Page 41: 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](https://reader030.vdocuments.us/reader030/viewer/2022032607/56649ed95503460f94be886a/html5/thumbnails/41.jpg)
![Page 42: 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](https://reader030.vdocuments.us/reader030/viewer/2022032607/56649ed95503460f94be886a/html5/thumbnails/42.jpg)
Order from least to greatest:
![Page 43: 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](https://reader030.vdocuments.us/reader030/viewer/2022032607/56649ed95503460f94be886a/html5/thumbnails/43.jpg)
ORDERING FRACTIONS:
![Page 44: 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](https://reader030.vdocuments.us/reader030/viewer/2022032607/56649ed95503460f94be886a/html5/thumbnails/44.jpg)
QUESTIONS:
![Page 45: 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](https://reader030.vdocuments.us/reader030/viewer/2022032607/56649ed95503460f94be886a/html5/thumbnails/45.jpg)
![Page 46: 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](https://reader030.vdocuments.us/reader030/viewer/2022032607/56649ed95503460f94be886a/html5/thumbnails/46.jpg)
![Page 47: 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](https://reader030.vdocuments.us/reader030/viewer/2022032607/56649ed95503460f94be886a/html5/thumbnails/47.jpg)
![Page 48: 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](https://reader030.vdocuments.us/reader030/viewer/2022032607/56649ed95503460f94be886a/html5/thumbnails/48.jpg)
![Page 49: 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](https://reader030.vdocuments.us/reader030/viewer/2022032607/56649ed95503460f94be886a/html5/thumbnails/49.jpg)
SUMMARY:SOLVE THE FOLLOWING
1.Find the average score: -10, 4 , -3, -9, 232.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?
![Page 50: 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](https://reader030.vdocuments.us/reader030/viewer/2022032607/56649ed95503460f94be886a/html5/thumbnails/50.jpg)
ARTIST: JAMIE HARKINS
![Page 51: 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](https://reader030.vdocuments.us/reader030/viewer/2022032607/56649ed95503460f94be886a/html5/thumbnails/51.jpg)
GREAT JOB EVERYONE!!!!!!!