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Algebra

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State Standards Supplements

**Foundations Series**

Foundations For Algebra, Year 1

Foundations For Algebra, Year 2

General Supplements: By Strand

Topics available to supplement different CPM textbooks for alignment to state standards:

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**Expressions and Equations**
**Functions**
**Geometry and Measurement**
**Number**
**Statistics and Probability**

- Absolute Value Equations and Inequalities
- Algebraic Properties
- Calculations Using Scientific Notation
- Division of Polynomials
- Equations with Parentheses
- Justification for Solving Equations
- Rational Expressions and Equations (Operations, Complex Fractions, Equations)
- Remainder Theorem
- Solutions to Equations and Inequalities
- Statements that are always true, sometimes true, never true
- Strategies for Solving Systems and Special Cases
- Work, Mixture, Distance Problems

- Direct and Inverse Variation
- Exponential Growth & Decay: (Graphs of Exp. Functions, Solving Exp. Growth, Decay Probs.)
- Functions and Relations: (Function Notation; Domain & Range; etc.)
- Growth of Patterns: (Proportional, Inverse Proportional and Exponential Data)
- Inversely Proportional Data Linear/Quadratic/Exponential Tables
- Optimization Problems (Minimum and Maximum of Quadratic Functions)
- Parabolas and their Features
- Piecewise Functions
- Proportional Relationships and Slope
- Rational Functions (Asymptotes and Graphs)
- Sequences (arithmetic and Geometric)

- Angle Pairs
- Area and Perimeter of Complex Figures
- Attributes of Polyhedra
- Centroids
- Construction of a Tangent Line
- Dimensional Analysis
- Equations of Parallel and Perpendicular Lines
- Estimating Geometric Measurements
- Euclidean Geometry
- Geometric Transformations
- Inductive and Deductive Reasoning
- Interior Angles of a Polygon
- Lines and Planes
- Logical Statements (Cond., Conv., Inv., Contrapositive, Conjunction, Disjunction, Bi-Cond.)
- Modeling Density
- Parallel and Perpendicular Lines (Slope-Intercept and Point-Slope)
- Parallel Lines Through a Circle
- Polygon Vocabulary
- Proofs of Proportions in Triangles
- Properties of Angles and Lines
- Properties of Angles and Triangles
- Properties of Lines, Angles and Triangles using Algebra
- Pythagorean Theorem
- Pythagorean Theorem Proof
- Rigid Transformation
- Segment Divided Proportionally
- Sets: (Sets and Set Notation; Union of Sets; Intersection of Sets)
- Similar Circles
- Similar Right Triangles (Mean Proportionality)
- Slope Proofs
- Solving Right Triangles: (Pythagorean Theorem; Right Triangle Trigonometry)
- Spheres
- Studying Quadrilaterals on a Coordinate Grid
- Surface Area Of A Pyramid
- Triangle Side Angle Relationships
- Volume and Surface Area of Polyhedra

- Absolute Value
- Arithmetic Operations with Decimals
- Basic Exponents
- Estimating Computations With Fractions and Decimals
- Inequalities
- Ordering and Absolute Value
- Prime Numbers and Factorization
- Rational or Irrational Numbers
- Real Numbers
- Significant Figures
- Simplifying Square Roots
- What Is The Size Of My Product Or Quotient?

- Central Tendency/Data Analysis: (Measures of Central Tendency; Data Analysis; etc.)
- Central Tendency HS (Measures of Central Tendency, Outliers, Resistance)
- Counting Methods: (Fundamental Counting Principal; Factorials; Permutations; etc.)
- Displaying Data HS (Data Types, Displaying , Analyzing Displays, Correlation/Causation, etc.)
- Fitting Curves to Scatterplots
- Normal Distributions HS (Mean Deviation, Variance, Standard Dev., Normal Distributions)
- Probability: (Simple Probability; Dependent and Independent Events; Compound Prob.)
- Understanding and Drawing Circle Graphs
- Understanding and Drawing Histograms
- Venn Diagrams
- Sequences
- Stats Resource 4.1.4 (Association)
- Strategies for Solving Systems and Special Cases
- Studying Quadrilaterals on a Coordinate Grid