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Unit 3 lesson goals

Everyday Mathematics – Unit 3

Variables, Formulas, and Graphs

Goal Key:  number of the unit, letter of the goal, progress towards the goal (below)

Beginning/Developing/Secure

Lesson 3.1               Using Variables to Describe Number Patterns

                                   Goal 3aB: Use variables to describe general patterns

                                   Goal 3hS: Convert between fractions and mixed numbers

Lesson 3.2               General Patterns (Two Variables)

                                   Goal 3aB: Use variables to describe general patterns

                                   Goal 3hS: Convert between fractions and mixed numbers

Lesson 3.3               Algebraic Expressions

                                   Goal 3dD: Write algebraic expressions to represent

situations

                                   Goal 3eD: Evaluate algebraic expressions and formulas

                                   Goal 3hS: Convert between fractions and mixed numbers

 

Lesson 3.4               Formulas

                                   Goal 3eD: Evaluate algebraic expressions and formulas                                    Goal 3hS: Convert between fractions and mixed numbers

Lesson 3.5               Formulas, Tables, and Graphs: Part 1            

              Goal 3eD: Evaluate algebraic expressions and formulas

              Goal 3gS: Represent rates with formulas, tables, and graphs

              Goal 3iS: Find the least common multiple of two numbers

 

Lesson 3.6               A Science Experiment

                                    Goal 3iS: Find the least common multiple of two numbers

 

Lesson 3.7               Variables and Formulas in Spreadsheets: Part 1

                                   Goal 3bD: Use a spreadsheet

                                   Goal 3eD: Evaluate algebraic expressions and formulas

                                   Goal 3fS: Mentally add 1-digit integers

                                   Goal 3jS: Find the greatest common factor of two numbers

 

Lesson 3.8               Variables and Formulas in Spreadsheets: Part 2

                                   Goal 3bD: Use a spreadsheet

                                   Goal 3eD: Evaluate algebraic expressions and formulas

                                   Goal 3fS: Mentally add 1-digit integers

                                   Goal 3jS: Find the greatest common factor of two numbers

 

Lesson 3.9               Reading and Drawing Graphs

                                    Goal 3cD/S: Interpret mystery graphs

                                    Goal 3dD: Write algebraic expressions to represent situations

                                    Goal 3gS: Represent rates with formulas, tables, and graphs

 

Lesson 3.10           Formulas, Tables, and Graphs: Part 2

                                    Goal 3fS: Mentally add 1-digit integers

                                    Goal 3gS: Represent rates with formulas, tables, and graphs

Lesson 3.11           Unit 3 Review and Assessment

 

Lessons are related to the following 6th grade GLE’s:

M(F&A)-6-1 Identifies and extends to specific cases a variety of patterns (linear and nonlinear) represented in models, tables, sequences, graphs, or in problem situations; or writes a rule in words or symbols for finding specific cases of a linear relationship; or writes a rule in words or symbols for finding specific cases of a nonlinear relationship; and writes an expression or equation using words or symbols to express the generalization of a linear relationship (e.g., twice the term number plus 1 or 2n + 1).

M(F&A)-6-2 Demonstrates conceptual understanding of linear relationships (y = kx; y = mx + b) as a constant rate of change by constructing or interpreting graphs of real occurrences and describing the slope of linear relationships (faster, slower, greater, or smaller) in a variety of problem situations; and describes how change in the value of one variable relates to change in the value of a second variable in problem situations with constant rates of change.

M(F&A)-6-3 Demonstrates conceptual understanding of algebraic expressions by using letters to represent unknown quantities to write linear algebraic expressions involving two or more of the four operations; or by evaluating linear algebraic expressions (including those with more than one variable); or by evaluating an expression within an equation (e.g., determine the value of y when x = 4 given y = 3x - 2).

M(F&A)-6-4 Demonstrates conceptual understanding of equality by showing equivalence between two expressions using models or different representations of the expressions (expressions consistent with the parameters of M(F&A)-6-3), solving multi-step linear equations of the form ax ± b = c, where a, b, and c are whole numbers with a 0.

 

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