5. Say It With Symbols - CMS Goals

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Review and strengthen their understanding of the conventional order of operation rules in the context of practical problems.

Evaluate expressions by applying the rules of order of operation.

Write symbolic sentences that communicate their reasoning.

Develop tools for manipulating symbolic expressions in ways that are both connected to and independent form tabular, graphical and contextualized reasoning.

Recognize applications of the distributive and commutative properties.

Recognize and interpret equivalent expressions

Reason about and interpret equivalent expressions.

Explain the reasoning underlying the solution of linear equations.

To make sense of symbolic expressions involving addition, subtraction, multiplication, division, and exponents.

To judge the equivalency of two of more expressions by examining the underlying reasoning and the related tables and graphs.

Apply the properties for manipulating expressions to solving linear equations.

Solve simple quadratic equations with some sense of basic factoring and "undoing" techniques.

 

1. Order of Operations

    1.1    Adding and Multiplying

    1.2   Dividing

    1.3   Working with Exponents

           

 

To make sense of symbolic expressions involving addition, subtraction, multiplication, division, and exponents

To develop an understanding of the conventional order of operations rules by being attentive to the ways expressions are written and evaluated in a variety of settings.

To evaluate expressions by applying the rules of order of operations.

 

2.   Equivalent Expression

    2.1   Tiling Pools

    2.2   Thinking in Different Ways

    2.3   Driving In

              

 

To informally articulate the distributive property

To apply the distributive property to simplify and compare expressions

To further articulate what it means for 2 expressions to be equivalent

To judge the equivalency of two or more expressions by examining the reasoning that each represents.

To determine the equivalency of two or more expressions by examining tables and graphs.

3. Some Important Properties 

    3.1   Walking Together

    3.2   Estimating Profit

    3.3   Area of a Trapezoid

    3.4   Writing Quadratic Expr

 

To determine the impact of a negative quantity as a factor

To use the distributive properties to show equivalence of expressions.

To use contextual clues to interpret symbolic expressions.

To solve a variety of problems using the distributive and commutative properties.

 

4. Solving Equations

    4.1   Comparing Costs

    4.2   Solving Linear Equations

    4.3   Reasoning with Symbols

    4.4   Solving Quadratic Equat

 

To apply the properties for manipulating expressions to solving linear equations.

To solve simple quadratic equations symbolically

To connect the solutions of an equation to information about its table and graph

 

5. Writing Expressions for Surface Area

    5.1   Stacking Rods

 

To find and compare equivalent expressions in a given context.

To evaluate expressions for a specific value of a variable.