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Algebra 1 Videos

2017-18 Algebra 1 Essential Math Concepts (EMCs)

1. Interpret, Evaluate, and Apply Expressions and Units
2. Create, Understand, Model, and Solve Equations and Inequalities
3. Create, Analyze, and Model Linear and Non-Linear Functions
4. Solve Systems of Linear Equations and Inequalities with Models
5. Summarize, Represent, Analyze, and Interpret Statistical Data
6. Apply Properties of Exponents and Radical Expressions
7. Create, Factor, Classify, and Perform Arithmetic Operations on Polynomials
8. Solve and Graph Quadratic Functions and Investigate Parent Function Transformations


Algebra 1 Domains, Clusters, and Standards
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Number and Quantity 

The Real Number System

• Extend the properties of exponents to rational exponents.

  EMC 6: (N-RN.1, N-RN.2)

• Use properties of rational and irrational numbers.

  EMC 1: (N-RN.3)


• Reason quantitatively and use units to solve problems.

  EMCs 2 & 3: (N-Q.1, N-Q.2, N-Q.3)



Seeing Structure in Expressions

• Interpret the structure of expressions.

  EMC 1: (A-SSE.1, A-SSE.1a, A-SSE.1b, A-SSE.2)

• Write expressions in equivalent forms to solve problems..

  EMC 8: (A-SSE.3, A-SSE.3a, A-SSE.3b, A-SSE.3c)

Arithmetic with Polynomials and Rational Expressions

• Perform arithmetic operations on polynomials.

  EMC 7: (A-APR.1)

Creating Equations

• Create equations that describe numbers or relationships.

  EMCs 2 & 9: (A-CED.1, A-CED.2, A-CED.3, A-CED.4)

Reasoning with Equations and Inequalities

• Understand solving equations as a process of reasoning and explain the reasoning.

  EMC 2: (A-REI.1)

• Solve equations and inequalities in one variable.

  EMCs 2 & 9: (A-REI.3, A-REI.4, A-REI.4a, 4-REI.4b)

• Solve systems of equations.

  EMCs 4 & 9: (A-REI.5, A-REI.6, A-REI.7)

• Represent and solve equations and inequalities.

  EMCs 3 & 4: (A-REI.10, A-REI.11, A-REI.12)



Interpreting Functions

• Understand the concept of a function and use function notation.

  EMC 3: (F-IF.1, F-IF.2, F-IF.3)

• Interpret functions that arise in applications in terms of the context.

  EMCs 3 & 9: (F-IF.4, F-IF.5, F-IF.6)

• Analyze functions using different representations.

  EMCs 3, 6, & 8: (F-IF.7, F-IF.7a, F-IF.7b, F-IF.7eF-IF.8, F-IF.8a, F-IF.8bF-IF.9)

Building Functions

• Build a function that models a relationship between two quantities.

  EMC 3: (F-BF.1, F-BF.1a, F-BF.1b, F-BF.2)

• Build new functions from existing functions.

  EMC 3: (F-BF.3, F-BF.4, F-BF.4a)

Linear, Quadratic, and Exponential Models

• Construct and compare linear, quadratic,and exponential models and solve problems.

  EMCs 3, 6, & 8: (F-LE.1, F-LE.1a, F-LE.1b, F-LE.1c, F-LE.2, F-LE.3)

• Interpret expressions for functions in terms of the situation they model.

  EMC 3: (F-LE.5)


Statistics and Probability

Interpreting Categorical and Quantitative Data

• Summarize, represent, and interpret data on a single count or measurement variable.

  EMC 5: (S-ID.1, S-ID.2, S-ID.3)

• Summarize, represent, and interpret data on two categorical and quantitative variables.

  EMCs 3 & 8: (S-ID.5, S-ID.6, S-ID.6a, S-ID.6b, S-ID.6c)

• Interpret linear models.

  EMC 3: (S-ID.7, S-ID.8, S-ID.9)