ALGEBRA I:
Unit 2: Real Numbers
Lesson
2.1
Objectives
To understand addition of
integers
2.2
To write an integer to
express real life situations
To subtract real numbers
Activities
Examples pg 54
Oral exercises pg 55
Pg 56, 7-30
Examples pg 56
Pg 57, 1-14
Examples pg 59
Oral exercises pg 60
Pg 61, 1-12
Pg 61, 13-50
Pg 62, 1-12
2.3a
2.3b
2.4
2.6a
2.6b
2.7a
2.7b
To subtract real numbers
To simplify expressions
involving differences
ASSESSMENT REVIEW
ASSESSMENT
To use the distributive
property to simplify
expressions
2.8a
To use the distributive
property to simplify
expressions
To multiply real numbers
2.8b
To multiply real numbers
2.10a
2.10b
2.11
2.12
ASSESSMENT REVIEW
ASSESSMENT
To simplify expressions
involving reciprocals
2.13a
To divide real numbers and
to simplify expressions
involving quotients
2.13b
ASSESSMENT REVIEW
ASSESSMENT
Self-Test 1 pg 63-64
QUIZ
Distribute Candy
Example 1 pg 65; Example 2 pg 66
Oral exercises pg 67, 1-16
Pg 67, 1-12, pg 68, 25-36
Example 3 & 4 pg 66; Example 5 pg 67
Oral exercises pg 67, 17-25
Pg 68, 13-24, 49-70; pg 69, 73-78
Multiplicative Properties pg 70
Rules for Multiplication pg 71
Example 2, pg 71
Oral exercises pg 72, 1-15
Pg 72, 1-18
Examples 3 & 4, pg 71
Oral exercises pg 72, 22-30
Pg 72, 19-30; pg 73, 45-58
Self-Test 2 pg 78
QUIZ
Example 1 & 2, pg 80
Oral exercises pg 80, 1-25
Pg 81, 1-24
Definition and Rules for division
Example1 pg 83; Example 3 & 4 pg 84
Important questions pg 84
Oral exercises pg 84, read each problem as a
fraction, then simplify
Pg 85, 1-33
Self-Test 3
TEST
Vocabulary
Integers, opposites
Subtraction, addition of the
opposite, difference
Interpret the sign
Distributive property,
equivalent, simplifying the
expression, equivalent
expression
Identity element, identity
property, multiplicative
property
Reciprocal, multiplicative
inverse, nonzero
Quotient
ALGEBRA I:
Unit 2: Real Numbers
I can:
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Find the sum or difference of integers
Add or subtract real numbers
Write an expression using integers to represent a situation
Use the distributive property to simplify expressions
Multiply integers
Write division problems as multiplication of the reciprocal
Divide real numbers
Essential Questions:
When you solve a problem involving money, what can a negative answer represent?
A negative answer involving money can mean a debt that must be paid.
When adding two numbers with the same sign, what sign do you use for the sum?
When adding 2 numbers with the same sign, the sum has the sign of the 2 numbers.
Choose any two negative integers. Is the sum of the integers less than or greater than the value of either of the
integers? Will this be true no matter which integers you choose? Explain.
Starting at any negative number and making it more negative, that is moving to the left on a number line, will
always result in the sum being to the left, or being less than either of the numbers.
Explain how you can find the value of the expression −5 + 12 + 10 − 7.
A: If adding left to right, the 1st 2 numbers have different signs so getting the difference results in 7. Combining
7 with the next number, 10, which has the same sign as 7, results in 17. Finally, combine 17 with the last number
-7 which has a different sign and results in 10.
B: Combing the positive numbers 12 and 10 to get the sum 22 and combine the negative numbers -5 and -7 to get
the sum -12. Since 22 and -12 have different signs, get the difference between 22 and 12 and since there are
more positives, the answer is positive 10.
Explain the process for finding the product of two integers.
Multiply the values of each integer. If there are an even number of negative factors, the product is positive. If
there are an odd number of negative factors, the product is negative.
ALGEBRA I:
Unit 2: Real Numbers
How is the process of dividing integers similar to the process of multiplying integers?
For dividing integers, the process is the same as multiplying. Divide the values of the integers and use the number
of negative to determine the sign of the quotient: negative for an odd number and positive for an even number.
Explain how the multiplicative inverse is used in a division problem.
Division is the same as multiplying the dividend by the multiplicative inverse, or reciprocal, of the divisor.
Pre-Algebra Problems:
Algebra Problems:
Pg 56, 6-12
Pg 56, 27-30
Pg 57, 1-4
Pg 57, 7-10
Pg 60, 1-8, 13-14
Pg 60, 9-16
Pg 61, 7-9, 13-16
Pg 61, 17-22, 34-35, 43-47
Pg 67, 9-12 (Oral Exercises), 1-4 (Written)
Pg 67, 1-4
Pg 72, 7-21
Pg 68, 55-60**
Pg 81, 1-10
Pg 72, 22-30
Pg 84, 1-8 (Oral)
Pg 73, 45-50
Pg 81, 13-20
Pg 84, 1-12