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Eighth Grade Pre-Algebra Curriculum

2016-2017

Eighth Grade Pre-Algebra Curriculum Objectives

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

1c. Knows and approximates irrational numbers

1. Knows there are irrational numbers and uses rational approximations of irrational numbers to compare the size of irrational numbers and locates them on a number line (8.NS.1; 8.NS.2)

2. Estimate the value of expressions containing irrational numbers (8.NS.2)

3. Evaluates square roots of small perfect squares and cube roots of small perfect cubes (8.EE.2)

1d. Write 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. Converts numbers between scientific notation to standard notation

 

Expressions and Equations

          2a.. Understands linear equations through tables, graphs, and equations

1. Interprets unit rate as slope of the graph and compares relationships of different proportions and in different ways (8.EE.5)

2. Derives the equation y=mx for a line through the origin and y=mx+b for a line intersecting the y axis at b (8.EE.6)

2b. Solves linear equations

1. Solves linear equations with rational number coefficients (8.EE.7)

2c. Uses distributive property

1. Solves linear equations with rational number coefficients that require expanding expressions with the distributive property and collecting like terms (8.EE.7)

 

2d. 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)

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

 

Functions

3a. Identify and determine rates

1. Determines/interprets rate of change and initial value of functions in graphs, tables, and situations it models (8.F.4)

2. Describes qualitatively the functional relationship between two quantities by analyzing graphs (8.F.5)

3b. Interprets and compares functions

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

 

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)

  1. 6.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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