Middle School Algebra Common Core
Appendix Information
K12 has revised Middle School Algebra to align the course with Common Core State Standards
(CCSS). To do this, we added new, Common Core-aligned activities to existing lessons. We also we
created an appendix of new lessons and lessons from other Math+ courses that meet CCSS.
What you need to know about this course:
• Original Middle School Algebra lessons with added activities will take longer to complete than
they did before.
• It is possible that students will have already seen content pulled from earlier Math courses, or
they might see some content again in a later course.
• Unit and Semester Reviews and Checkpoints have not been updated to include lessons from
the Appendix or new activities. They cover lessons from the original Middle School Algebra
course.
How to use the lesson list:
• Use the lesson list to integrate the CCSS lessons in the Appendix into the Middle School
Algebra course.
• Check the What’s New? and What to Print? columns for additional information about what is
new or revised and what new or revised documents need to be printed.
• The units listed below may be in a different order in your math course if your school uses an
alternate sequence of units. You may want to add the applicable unit numbers to the first
column to make it easier for your individualized use.
Lesson List
Unit: Algebra Basics
Lesson Title
What’s New?
What to Print?
What’s New?
What to Print?
1: Semester Introduction
2: Expressions
3: Variables
4: (Optional) Your Choice
5: Translating Words into Variable
Expressions
6: Equations
7: Translating Words into Equations
8: (Optional) Your Choice
9: Replacement Sets
10: Problem Solving
11: Algebra Basics Review
12: Algebra Basics Unit Test
Unit: Properties of Real Numbers
Lesson Title
1: Number Lines
2: Sets
3: Comparing Expressions
4: Number Properties
5: Measurement, Precision, and
Estimation
6: (Optional) Your Choice
7: The Distributive Property
8: Algebraic Proof
9: Opposites and Absolute Value
10: Properties of Real Numbers Review
11: Properties of Real Numbers Unit
Test
Unit: Operations with Real Numbers
Lesson Title
What’s New?
What to Print?
What’s New?
What to Print?
What’s New?
What to Print?
1: Addition, Part 1
2: Addition, Part 2
3: Subtraction
4: (Optional) Your Choice
5: Multiplication
6: Reciprocals and Division
7: Applications: Number Problems
8: Operations with Real Numbers
Review
9: Operation with Real Numbers Unit
Test
Unit: Solving Equations
Lesson Title
1: Addition and Subtraction Equations
2: Multiplication and Division
Equations, Part 1
3: Multiplication and Division
Equations, Part 2
4: Patterns
5: (Optional) Your Choice
6: Multiple Transformations
7: Variables on Both Sides of an
Equation
8: (Optional) Your Choice
9: Transforming Formulas
10: Estimating Solutions
11: Cost Problems
12: Solving Equations Review
13: Solving Equations Unit Test
Unit: Solving Inequalities
Lesson Title
1: Inequalities
2: Solving Inequalities
3: Combined Inequalities
4: Absolute Value Equations and
Inequalities
5: Applications: Inequalities
6: Solving Inequalities Review
7: Solving Inequalities Unit Test
Unit: Applying Fractions
Lesson Title
What’s New?
What to Print?
What’s New?
What to Print?
New Lesson. Find lesson online in
MS Algebra Common Core
Appendix course.
New Lesson. Find lesson online in
MS Algebra Common Core
Appendix course.
New Lesson. Find lesson online in
MS Algebra Common Core
Appendix course.
Lesson Guide and all Student
Activity pages
What’s New?
What to Print?
1: Ratios
2: Proportions
3: Unit Conversions
4: (Optional) Your Choice
5: Percents
6: Applications: Percents
7: Applications: Mixture Problems
8: Applying Fractions Review
9: Applying Fractions Unit Test
Unit: Linear Equations and Inequalities
Lesson Title
1: Equations in Two Variables
2: Graphs
3: Lines and Intercepts
4: Slope
5: Using Slope as a Rate
**
**
**
Appendix Lesson
1.1: Using Similar Triangles to Analyze
the Slope of a Line
Appendix Lesson
1.2: Comparing Proportional
Relationships
Appendix Lesson
1.3: Comparing Properties of Functions
Lesson Guide and all Student
Activity pages
Lesson Guide and all Student
Activity pages
6: (Optional) Your Choice
7: The Slope-Intercept Form
8: The Point-Slope Form
9: Parallel and Perpendicular Lines
10: Equations from Graphs
11: (Optional) Your Choice
12: Applications: Linear Models
13: Graphing Linear Inequalities
14: Inequalities from Graphs
15: Linear Equations and Inequalities
Review
16: Linear Equations and Inequalities
Unit Test
Unit: Systems of Equations
Lesson Title
1: Systems of Equations
2: Substitution Method
3: Linear Combination
4: (Optional) Your Choice
5: Linear Combination with
Multiplication
6: Applications: Systems of Linear
Equations
7: Systems of Linear Inequalities
8: Systems of Equations Review
9: Systems of Equations Unit Test
Unit: Semester Review and Test
Lesson Title
What’s New?
What to Print?
What’s New?
What to Print?
What’s New?
What to Print?
1: Semester Review
2: (Optional) Your Choice
3: (Optional) Your Choice
4: Semester Test
Unit: Relations and Functions
Lesson Title
1: Semester Introduction
2: Relations
3: Functions
4: Function Equations, Part 1
5: Function Equations, Part 2
6: Order of Operations
7: (Optional) Your Choice
8: Absolute Value Functions
9: Direct Linear Variation, Part 1
10: Direct Linear Variation, Part 2
11: (Optional) Your Choice
12: Quadratic Variation
13: Inverse Variation
14: Translating Functions
15: Relations and Functions Review
16: Relations and Functions Unit Test
Unit: Rationals, Irrationals, and Radicals
Lesson Title
1: Rational Numbers
2: Terminating and Repeating
Numbers
3: Square Roots
4: Dimensional Analysis
5: (Optional) Your Choice
6: Irrational Numbers
7: Estimating Square Roots, Part 1
8: Estimating Square Roots, Part 2
9: Radicals with Variables, Part 1
10: (Optional) Your Choice
11: Radicals with Variables, Part 2
12: Using Square Roots to Solve
Equations
13: The Pythagorean Theorem
**
**
Appendix Lesson
1.4: Proofs of the Pythagorean
Theorem
Appendix Lesson
1.5: The Distance Formula
New Lesson. Find lesson online in
MS Algebra Common Core
Appendix course.
New Lesson. Find lesson online in
MS Algebra Common Core
Appendix course.
Lesson Guide and all Student
Activity pages
What’s New?
What to Print?
New Lesson. Find lesson online in
MS Algebra Common Core
Appendix course.
Lesson Guide and all Student
Activity pages
What’s New?
What to Print?
Lesson Guide and all Student
Activity pages
14: Higher Roots
15: Rationals, Irrationals, and Radicals
Review
16: Rationals, Irrationals, and Radicals
Unit Test
Unit: Working with Polynomials
Lesson Title
1: Overview of Polynomials
2: Adding and Subtracting Polynomials
**
Appendix Lesson
1.6: Negative Exponents
3: Multiplying Monomials
4: (Optional) Your Choice
5: Multiplying Polynomials by
Monomials
6: Multiplying Polynomials
7: The FOIL Method
8: Working with Polynomials Review
9: Working with Polynomials Unit Test
Unit: Factoring Polynomials
Lesson Title
1: Factoring Integers
2: Dividing Monomials
3: Common Factors of Polynomials,
Part 1
4: (Optional) Your Choice
5: Common Factors of Polynomials,
Part 2
6: Dividing Polynomials by Monomials
7: Factoring Perfect Squares
8: Factoring Differences of Squares
9: Factoring Quadratic Trinomials, Part
1
10: (Optional) Your Choice
11: Factoring Quadratic Trinomials,
Part 2
12: Factoring Completely
13: Finding Roots of a Polynomial
14: Factoring Polynomials Review
15: Factoring Polynomials Unit Test
Unit: Quadratic Equations
Lesson Title
What’s New?
What to Print?
New Lesson. Find lesson online in
MS Algebra Common Core
Appendix course.
Lesson Guide and all Student
Activity pages
What’s New?
What to Print?
What’s New?
What to Print?
What’s New?
What to Print?
1: Solving Perfect Square Equations
2: Completing the Square
3: The Quadratic Formula
4: Scientific Notation
**
Appendix Lesson
1.7: Powers of Ten
5: (Optional) Your Choice
6: Solving Quadratic Equations, Part 1
7: Solving Quadratic Equations, Part 2
8: (Optional) Your Choice
9: Equation and Graphs: Roots and
Intercepts
10: Applications: Area Problems
11: Applications: Projectile Motion
12: Quadratic Equations Review
13: Quadratic Equations Unit Test
Unit: Rational Expressions
Lesson Title
1: Simplifying Rational Expressions
2: Multiplying Rational Expressions
3: Dividing Rational Expressions
4: Like Denominators
5: Adding and Subtracting Rational
Expressions
6: Rational Expressions Review
7: Rational Expressions Unit Test
Unit: Logic and Reasoning
Lesson Title
1: Reasoning and Arguments
2: Hypothesis and Conclusion
3: Forms of Conditional Statements
4: Using Data to Make Arguments
5: (Optional) Your Choice
6: Inductive and Deductive Reasoning
7: Algebraic Proof
8: Counterexample
9: Logic and Reasoning Review
10: Logic and Reasoning Unit Test
Unit: Semester Review and Test
Lesson Title
1: Semester Review
2: (Optional) Your Choice
3: (Optional) Your Choice
4: Semester Test
Unit: Measurement and Geometry
Lesson Title
What’s New?
What to Print?
New Lesson. Find lesson online in
MS Algebra Common Core
Appendix course.
Lesson Guide and all Student
Activity pages
New Lesson. Find lesson online in
MS Algebra Common Core
Appendix course.
Lesson Guide and all Student
Activity pages
New Lesson. Find lesson online in
MS Algebra Common Core
Appendix course.
Appendix Lesson
New Lesson. Find lesson online in
1.11: Transformations
MS Algebra Common Core
Appendix course.
Appendix Lesson
New Lesson. Find lesson online in
1.12: Verifying Properties of
MS Algebra Common Core
Transformations
Appendix course.
Appendix Lesson
New Lesson. Find lesson online in
1.13: Transformations and Congruence MS Algebra Common Core
Appendix course.
Appendix Lesson
New Lesson. Find lesson online in
1.14: Transformations and Similarity
MS Algebra Common Core
Appendix course.
Appendix Lesson
New Lesson. Find lesson online in
1.15: Transformations in the
MS Algebra Common Core
Coordinate Plane
Appendix course.
6: Area
Lesson Guide and all Student
Activity pages
1: Points, Lines, and Angles
**
Appendix Lesson
1.8: Parallel Lines and Transversals
2: Pairs of Angles
**
Appendix Lesson
1.9: Triangles
3: Triangles
4: Polygons
5: Congruence and Similarity
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**
**
**
**
**
Appendix Lesson
1.10: Similarity and Scale
7: Volume
Lesson Guide and all Student
Activity pages
Lesson Guide and all Student
Activity pages
Lesson Guide and all Student
Activity pages
Lesson Guide and all Student
Activity pages
Lesson Guide and all Student
Activity pages
New activity promotes the
Student Guide, Learning Coach
memorization of the formulas for the Guide and Practice Problems page
volume of a cone and the volume of for Cones and Spheres activity
a sphere and reinforces
memorization of other formulas
covered in the lesson. Real-world
problems that involve finding the
volume of cones and spheres have
been added. 8: Scale
9: Measurement and Geometry Review
10: Measurement and Geometry Unit
Test
Unit: Counting, Probability, and Statistics
Lesson Title
1: Counting
2: Permutations and Combinations
3: Probability
4: Combined Probability
What’s New?
What to Print?
5: Graphs
**
Appendix Lesson
1.16: Graphs
**
Appendix Lesson
1.17: Describing Patterns in Data
**
Appendix Lesson
1.18: Scatter Plots and Lines of Best
Fit
Appendix Lesson
1.19: Patterns in Bivariate Categorical
Data
6: Summary Statistics
**
7: Frequency Distributions
8: Samples and Prediction
9: Counting, Probability, and Statistics
Review
10: Counting, Probability, and Statistics
Unit Test
New Lesson. Find lesson online in
MS Algebra Common Core
Appendix course.
New Lesson. Find lesson online in
MS Algebra Common Core
Appendix course.
New Lesson. Find lesson online in
MS Algebra Common Core
Appendix course.
New Lesson. Find lesson online in
MS Algebra Common Core
Appendix course.
Lesson Guide and all Student
Activity pages
Lesson Guide and all Student
Activity pages
Lesson Guide and all Student
Activity pages
Lesson Guide and all Student
Activity pages