Unit 1 Students will write and satisfy algebraic expressions. Students will also solve one step equations and inequalities
Unit 2 Students will demonstrate understanding of proportions and percents through problem solving.
Unit 3. Students will show relationships between perimeter and area of a plethora of polygons. Students will also calculate angle measurements of certain polygons.
Understand the concept of a unit rate and use terms related to rate in the context of a ratio relationship.
Understand the concept of a unit rate and use terms related to rate in the context of a ratio relationship.
Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane.
Solve real-world and other mathematical problems involving rates and ratios using models and strategies such as reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. (E)
Use variables to represent two quantities in a proportional relationship in a real-world problem; write an equation to express one quantity, the dependent variable, in terms of the other quantity, the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. (E)
Convert between measurement systems (Customary to metric and metric to Customary) given the conversion factors, and use these conversions in solving real-world problems.
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.
I can use substitution to determine whether a number in a set makes an equation or an inequality true.
I can explain what the solution to an equation or inequality represents.
I can identify the operation and its inverse operation in order to solve one step linear equations.
I can solve linear equations using one of four operations when working with nonnegative rational numbers.
I can represent real-world problems using one step linear equations.
I can solve real-world problems involving one step linear equations.
I can write inequalities of the form x > c, x ≥ c, x < c, or x ≤ c to represent real-world problems.
I can write inequalities of the form x > c, x ≥ c, x < c, or x ≤ c to represent a given visual representation.
I can demonstrate understanding that inequalities have infinite solutions.
I can graph solutions to inequalities on a number line.
I can create tables of equivalent ratios with whole-number measurements.
I can find missing values in tables showing equivalent ratios with whole-number measurements.
I can interpret the values in a table as coordinates to be plotted on the coordinate plane.
I can plot the pairs of values from a table.
I can use variables to represent quantities in proportional relationships in real-world problems.
I can write an equation expressing the dependent variable in terms of the independent variable.
I can use graphs to analyze the relationship between dependent and independent variables.
I can use tables to analyze the relationship between dependent and independent variables.
I can demonstrate how graphs and tables depicting the relationship between dependent and independent variables relate to equations.
I can interpret ratios as relative size between two quantities.
I can model and use ratios to show relative sizes of two quantities.
I can describe how a ratio show the relationship between two quantities.
I can represent ratios using the following notations: a/b, a to b, and a:b.
I can demonstrate understanding of unit rates.
I can use terms related to rate in the context of a ratio relationship.