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6.EE.7 - Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all non-negative rational numbers.
6.EE.9 - Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation.
6.NS.2 - Fluently divide multi-digit numbers using the standard algorithm.
6.NS.3 - Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.
6.NS.5 - Understand that positive and negative numbers are used together to describe quantities having opposite directions or values
This unit will focus on primarily the following learning objectives:
TLW (The Learner Will):
1.) Build and clarify the relationship of addition and subtraction by evaluating identities such as w-x+x=w and w+x-x=w.
2.) Build and clarify the relationship of addition and subtraction by evaluating identities such as a/b x b=a and a x b/b = a.
3.) Find and write rules for number patterns.
4.) Evaluate algebraic expressions.
5.) Write algebraic expressions and use them to solve problems.
6.) Use mental math to estimate and solve problems.
7.) Use addition and subtraction to solve equations.
8.) Use multiplication and division to solve equations.
9.) Use the Distributive Property to simplify expressions in problem solving situations.
Common Core State Standards Covered:
6.EE.2 - Write, read, and evaluate expressions in which letters stand for numbers.
6.EE.2a - Write expressions that record operations with numbers and with letters standing for numbers.
6.EE.2b - Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or more parts of an expression as a single entity.
6.EE.2c - Evaluate expressions at specific values for their variables. Include expressions that arise from formulas in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations).
6.EE.5 - Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true?
6.EE.6 - Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.
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