AboutCurriculumGrade 8 Curriculum ObjectivesMathAlgebra I

Eighth Grade Algebra Curriculum Objective

2016-2017

Eighth Grade Algebra Curriculum

The Number System

          1a. Writes and computes with numbers in scientific notation

1. Uses scientific notation to estimate very large quantities and expresses comparisons between two quantities in this form (8.EE.3)

2. Computes with numbers expressed in scientific notation (8.EE.4)

3. Interprets scientific notation that has been generated by technology (8.EE.4)

          1b. Properties of exponents

1. Extends the properties of exponents to rational exponents (N-RN.1;N-RN.2)

2. Knows and applies the properties of integer exponents to generate equivalent numerical expressions (8.EE.1)

1c. Chooses and interprets units

1. Uses and reasons with units to solve problems and choose scales on graphs (N-Q.2;N-Q.3)

 

Expressions and Equations

          2a. Simplifying by combining terms

  1. 1.Adds, subtracts, and multiplies polynomials: linear,(A-APR.1)

2b. Creates and solves equations and inequalities with one or more variables.

1. Creates equations and inequalities in one variable and uses them to solve problems (A-CED.1)

2. Creates equations in two or more variables to represent relationships between quantities and graphs equations (A-CED.2)

3. Solves linear equations and inequalities in one variable and constructs a viable argument to justify a solution (A-REI.1; A-REI.3)

4. Rearranges formulas using the same reasoning as in solving equations (A-CED.4)

5. Understands constraints by equations or inequalities and systems of equations / inequalities (A-CED.3)

2c. Solving systems of equations and inequalities

1. Understands that a solution to a system of two linear equations corresponds to points of intersection (8.EE.8a)

2. Solves systems of two linear equations algebraically and graphically (8.EE.8b; A-REI.5; A-REI.6; A-REI.7)

3. Solves real-life problems using system of two linear equations (8.EE.8c)

4. Graph the solutions to a linear inequality in two variables and a system of linear inequalities (A-REI.12)

5. Understands constraints by equations or inequalities and systems of equations / inequalities (A-CED.3)

2d. Solves quadratic equations

1. Factors and completes the square in quadratic expressions (A-SSE.3a; (A-SSE.3b)

2. Solves quadratic equations in one variable by factoring, completing the square and square roots (A-REI.4)

 

Functions

3a. Understands functions

  1. 1.Understands the concept of a function and uses function notation (F-IF.1; F-IF.2; F-IF.3)

2.  Builds a function that models a relationship between two quantities (F-BF.1; F-BF2)

3b. Identify and determine rates

  1. 1.Determines/interprets rate of change and initial value of functions in graphs, tables, and situations it models (8.F.4)
  2. 2.Describes qualitatively the functional relationship between two quantities by analyzing graphs (8.F.5)

3c. Interprets and compares functions

1. Interprets the structure of expressions: linear, exponential, quadratic (A-SSE.1; A-SSE.2)

2. Defines, evaluates and compares functions; linear and non-linear (8.F.1; F.2; F.3)

3. Interprets functions (linear, exponential, quadratic) in real world context (F-IF.4; F-IF.5; F-IF.6)

4. Constructs, compares, and interprets linear, quadratic, and exponential models (F-LE.1; F-LE.2; F-LE.3; F-LE.5)

 

Statistics and Probability

4a. Investigate patterns in scatter plots

  1. 1.Constructs and interprets scatter plots for bi-variate measurement data (8.SP.1)

2. Informally fits a straight line to model relationships between two quantitative variables (8.SP.2)

 

3. Uses the equation of a linear model to solve problems in the context of bi-variate measurement data (8.SP.3)

4. Interprets the slope and intercept in the context of bi-variate measurement (8.SP.3)

5. Constructs and interprets a two-way table summarizing data on two categorical variables collected from the same subjects (8.SP.4)

6. Represents data on a scatter plot, describes how the variables are related, and fits a linear function with a linear association (S-ID.6)

7. Interprets slope and intercept of linear models, interprets correlation coefficient of a linear fit, and distinguishes between correlation and causation (S-ID.7; S-ID.8; S-ID.9)

4b. Represent and analyze statistical data

1. Summarizes, represents, and interprets data on a single count recognizing the effects of outliers - histograms and box plots (S-ID.1; S-ID.2; S-ID.3)

  1. 2.Summarizes, represents, and interprets data on two categorical and quantitative variables (S-ID.5)

Geometry

5a. Pythagorean Theorem

  1. 1.Understands and applies the Pythagorean Theorem (8.G.6; G.7; G.8)

 

Mathematical Problem Solving

          6a. Accurately solves grade appropriate problems

6b. Effectively communicates problem solving steps, strategies, and solutions

6c. Accurately solves and communicates solutions for each of the foundational 24 skills

 

Mathematical Practices

7a. Applies mathematical practices to solving problems

          1. Makes sense of problems and perseveres in solving them

2. Reasons abstractly and quantitatively.

3. Constructs viable arguments and critiques the reasoning of others.

4. Models with mathematics.

5. Uses appropriate tools strategically.

6. Attends to precision.

7. Looks for and makes use of structure.

8. Looks for and expresses regularity in repeated reasoning.

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