Module 1 - Lesson 1
In this lesson you will review operations with real numbers and expressions
Use the Classkick practice test as your knowledge check. Complete the pages listed after each skill.
Sign in to your Classkick account to find the practice test.
In this lesson you will
- Represent and/or use numbers in equivalent forms
- Apply number theory concepts to show relationships between real numbers in problem-solving settings
- Use exponents, roots, and/or absolute values to solve problems
- Use estimation strategies in problem-solving situations
- Simplify expressions involving polynomials
Ordering Rational Numbers
When ordering rational numbers in ascending or descending order you must put the numbers into the same form (ex. decimals, fractions, etc.)
Comparing Rational Numbers
When comparing rational numbers you must put the numbers into the same form (ex. decimals, fractions, etc.)
Compare the following rational numbers
Order the following rational numbers in ascending order
You Try!
Classkick Pages to Complete
Pages 7-9
Remember this will be graded as your knowledge check!
Simplying Radical Expressions
Simplifying Square Roots
Simplifying Square Roots (with variables)
Simplify the following
Simplify the following
You Try!
Classkick Pages to Complete
Pages 10, 11 & 16
Remember this will be graded as your knowledge check!
GCF and LCM of Monomials
LCM stands for Least Common Multiple. This is the smallest, or least, number that both numbers multiple in to. For example, the LCM of 3 and 5 would be 15. This is the smallest number that both 3 and 5 go in to.
Remember GCF stands for Greatest Common Factor. This is the biggest, or greatest, number that goes in to both numbers in the problem. For example, the GCF of 12 and 15 is 3. 3 is the biggest number that 12 and 15 are both divisible by.
GCF and LCM of Monomials
GCF of Monomials
LCM of Monomials
Find the LCM
Find the GCF
You Try!
Classkick Pages to Complete
Pages 12-14
Remember this will be graded as your knowledge check!
Absolute Values and Evaluating Expressions
Expressions involve variables and numbers, but are not set equal to anything. When asked to evaluate an expression, we simply simplify! For Example: Evaluate x + 3, when x = 2 2 + 3 5
An absolute value is the distance from zero. Distance is always positive, so the absolute value of a number will always be positive. For Example: |-3| = 3
You Try!
Watch the video and then try to question.
Classkick Pages to Complete
Page 15
Remember this will be graded as your knowledge check!
Estimation
Estimation is the approximate value of a given number. Remember numbers that end in 5 or above we round up, numbers that end in 4 or below we round down.
Estimate
You Try!
Classkick Pages to Complete
Pages 17 - 18
Remember this will be graded as your knowledge check!
Operations with Polynomials
Factoring Polynomials
Factoring with a GCF
Factoring x² + bx + c
Factor x² + bx + c
Factor using GCF
You Try!
Simplyfing Rational Expressions
2r-4 r-2
Classkick Pages to Complete
Pages 19 - 23 & 71 - 72
Remember this will be graded as your knowledge check!
Lesson 1: Module 1 Algebra Keystone Prep
High School
Created on March 30, 2023
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Transcript
Module 1 - Lesson 1
In this lesson you will review operations with real numbers and expressions
Use the Classkick practice test as your knowledge check. Complete the pages listed after each skill.
Sign in to your Classkick account to find the practice test.
In this lesson you will
Ordering Rational Numbers
When ordering rational numbers in ascending or descending order you must put the numbers into the same form (ex. decimals, fractions, etc.)
Comparing Rational Numbers
When comparing rational numbers you must put the numbers into the same form (ex. decimals, fractions, etc.)
Compare the following rational numbers
Order the following rational numbers in ascending order
You Try!
Classkick Pages to Complete
Pages 7-9
Remember this will be graded as your knowledge check!
Simplying Radical Expressions
Simplifying Square Roots
Simplifying Square Roots (with variables)
Simplify the following
Simplify the following
You Try!
Classkick Pages to Complete
Pages 10, 11 & 16
Remember this will be graded as your knowledge check!
GCF and LCM of Monomials
LCM stands for Least Common Multiple. This is the smallest, or least, number that both numbers multiple in to. For example, the LCM of 3 and 5 would be 15. This is the smallest number that both 3 and 5 go in to.
Remember GCF stands for Greatest Common Factor. This is the biggest, or greatest, number that goes in to both numbers in the problem. For example, the GCF of 12 and 15 is 3. 3 is the biggest number that 12 and 15 are both divisible by.
GCF and LCM of Monomials
GCF of Monomials
LCM of Monomials
Find the LCM
Find the GCF
You Try!
Classkick Pages to Complete
Pages 12-14
Remember this will be graded as your knowledge check!
Absolute Values and Evaluating Expressions
Expressions involve variables and numbers, but are not set equal to anything. When asked to evaluate an expression, we simply simplify! For Example: Evaluate x + 3, when x = 2 2 + 3 5
An absolute value is the distance from zero. Distance is always positive, so the absolute value of a number will always be positive. For Example: |-3| = 3
You Try!
Watch the video and then try to question.
Classkick Pages to Complete
Page 15
Remember this will be graded as your knowledge check!
Estimation
Estimation is the approximate value of a given number. Remember numbers that end in 5 or above we round up, numbers that end in 4 or below we round down.
Estimate
You Try!
Classkick Pages to Complete
Pages 17 - 18
Remember this will be graded as your knowledge check!
Operations with Polynomials
Factoring Polynomials
Factoring with a GCF
Factoring x² + bx + c
Factor x² + bx + c
Factor using GCF
You Try!
Simplyfing Rational Expressions
2r-4 r-2
Classkick Pages to Complete
Pages 19 - 23 & 71 - 72
Remember this will be graded as your knowledge check!