6th- Second 9 weeks 

Unit 1   Students will demonstrate knowledge of order of operations

Unit 2  Students will use basic properties to simplify expressions

Unit 3  Students will demonstrate basic understanding of integers in the real world.

Unit 4  Students will use a coordinate plane to locate points and their reflections.   

Unit 5  Students will show knowledge of exponents to simplify expressions

Unit 6 Students will evaluate expressions.

6.NS.7

Apply the properties of operations (i.e., identity, inverse, commutative, associative, distributive properties) to create equivalent linear expressions and to justify whether two linear expressions are equivalent when the two expressions name the same number regardless of which value is substituted into them. (E) 

6.AF.1

Define and use multiple variables when writing expressions to represent real-world and other mathematical problems, and evaluate them for given values. (E) 

6.AF.2

Demonstrate which values from a specified set, if any, make the equation or inequality true. Use substitution to determine whether a given number in a specified set makes an equation or inequality true. (E)

6.AF.3

Solve equations of the form x + p = q, x - p = q, px = q, and x/p = q fluently for cases in which p, q and x are all nonnegative rational numbers. Represent real-world problems using equations of these forms and solve such problems. (E) 

6.AF.4

Write an inequality of the form x > c, x ≥ c, x < c, or x ≤ c, where c is a rational number, to represent a constraint or condition in a real-world or other mathematical problem. Explain that inequalities have infinitely many solutions and how to represent solutions on a number line diagram.

6.DS.1

Select, create, and interpret graphical representations of numerical data, including line plots, histograms, and box plots.

6.DS.3

Summarize numerical data sets in relation to their context in multiple ways, such as: 

1. Report the number of observations; 

2. Describe the nature of the attribute under investigation, including how it was measured and its units of measurement; 

3. Determine quantitative measures of center (mean and/or median) and spread (range and interquartile range); 

4. Describe any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data were gathered; and 

5. Relate the choice of measures of center and spread to the shape of the data distribution and the context in which the data were gathered. (E) 

I can show on a number line that a negative number lies in the opposite direction as a positive number.

I can show that positive and negative numbers have opposite values.

I can use positive and negative numbers to represent and compare quantities in a variety of real-world contexts.

I can explain the meaning of 0 in real world contexts.

I can demonstrate understanding of integers.

I can show that numbers with opposite signs are located on opposite sides of zero on the number line.

I can explain that the opposite of the opposite of a number is actually the number itself.

I can explain that 0 is its own opposite.

I can plot rational numbers on a number line.

I can compare and order rational numbers.

I can write statements of order for rational numbers in real-world problems.

I can interpret and explain statements of order for rational numbers in real-world problems.

I can use a number line to explain that absolute value is the distance a number is away from zero.

I can find the absolute value of real numbers.

I can show the distance between two numbers on the number line is the absolute value of their difference.

I can relate absolute value to magnitude for a positive or negative quantity in a real-world situation.

I can accurately identify the four quadrants of a coordinate plane.

I can demonstrate understanding that the signs of the numbers in ordered pairs indicate which quadrant a point lies.

I can identify rules or patterns in the signs as they relate to quadrants.

I can graph points with rational number coordinates on a coordinate plane.

I can solve real-world and other problems by graphing points with rational number coordinates on a coordinate plane.

I can find the distance between points with the same first coordinate or the same second coordinate.

I can draw polygons in the coordinate plane.

I can use coordinates with the same first or second coordinate to find side lengths of polygons.

I can solve real-world problems involving missing length by using the coordinates of polygons. 

I can evaluate positive rational numbers with whole number exponents.

I can apply the order of operations to evaluate numerical expressions with nonnegative rational numbers.

I can use the identity and inverse properties of addition and multiplication when evaluating numerical expressions with nonnegative rational numbers.

I can use the commutative properties of addition and multiplication when evaluating expressions with nonnegative rational numbers.

I can evaluate expressions that have grouping symbols and whole number exponents.

I can use the properties of operations to create equivalent linear expressions.

I can use the identity and inverse properties of addition and multiplication to create equivalent linear expressions.

I can use the identity and inverse properties of addition and multiplication to justify whether two linear expressions are equivalent when the same number is generated regardless of which value of substituted in to it.

I can use the commutative properties of addition and multiplication to create equivalent linear expressions.

I can use the commutative properties of addition and multiplication to justify whether two linear expressions are equivalent when the same number is generated regardless of which value of substituted in to it.

I can evaluate expressions that have grouping symbols and whole number exponents.

I can use the distributive property to create equivalent linear expressions.

I can use the distributive property to justify whether two linear expressions are equivalent when the same  number is generated regardless of which value of substituted in to it.

I can determine whether two expressions are equivalent.

I can write expressions using multiple variables  to represent real-world problems.

I can define variables within expressions given in the context of a problem.

I can evaluate expressions that include multiple variables in real-world problems for given values.