6.RP.A.3 - Use ratio and rate reasoning to solve real-world and mathematical problems
| 4 |
Students will be able to demonstrate and apply knowledge of ratios and unit rates to real world problems. |
| 3 |
Students will be able to solve real world and mathematical problems using ratios and unit rates. |
| 2 |
Students will be able to recognize multiple equivalent representations of ratios and/or use language to describe a ratio relationship. |
| 1 |
Students will be able to recognize multiple equivalent representations of ratios with help. |
| 0 |
Students are unable to recognize multiple equivalent representations of ratios. |
6.NS.A.1 - Interpret and compute quotients of fractions and solve word problems involving division of fractions by fractions.
| 4 |
Students will be able to demonstrate in depth inferences and applications to fractions that go beyond what was taught and apply to read world situations. |
| 3 |
Students will be able to solve word problems involving the division of fractions by fractions. |
| 2 |
Students will be able to interpret quotients of fractions and use visual models to represent the problem. |
| 1 |
Students will be able to interpret quotients of fractions with help. |
| 0 |
Students are unable to interpret quotients of fractions. |
6.NS.B.2 - Fluently divide multi-digits numbers using the standard algorithm.
| 4 |
Students will be able to solve story problems involving division of multi-digit numbers. |
| 3 |
Students will be able to divide multi-digit numbers up to a four digit dividend by a 2 digit divisor. |
| 2 |
Students will be able to divide multi-digit numbers up to a three digit dividend by a 1 digit divisor. |
| 1 |
Students will be able to divide single digit numbers with help. |
| 0 |
Students are unable to divide single digit numbers. |
6.NS.B.3 - Fluently add, subtract, multiply and divide multi-digits decimals using the standard algorithm.
| 4 |
Students will be able to solve real-world and word problems involving multi-digit decimals. |
| 3 |
Students will be able to add, subtract, multiply, and divide multi-digit decimals. |
| 2 |
Students will be able to add and subtract multi-digit decimals. |
| 1 |
Students will be able to add and subtract multi-digit decimals with help. |
| 0 |
Students are unable to add and subtract multi-digit decimals. |
6.NS.C.5 - Understand that positive and negative numbers are used together to describe quantities having opposite directions or values.
| 4 |
Students will be able to apply knowledge of positive and negative numbers to solve real world problems. |
| 3 |
Students will be able to understand positive and negative numbers are quantities that have opposite values. |
| 2 |
Students will be able to understand that positive and negative numbers are quantities. |
| 1 |
Students will be able to understand positive and negative numbers are quantities that have opposite values with help. |
| 0 |
Students are unable to understand positive and negative numbers are quantities that have opposite values. |
6.NS.C.6 Understand a rational number as a point on the number line.
| 4 |
Students will be able to apply knowledge of positive and negative numbers to solve real world problems. |
| 3 |
Students will be able to understand positive and negative numbers are quantities that have opposite values. |
| 2 |
Students will be able to understand that positive and negative numbers are quantities. |
| 1 |
Students will be able to understand positive and negative numbers are quantities that have opposite values with help. |
| 0 |
Students are unable to understand positive and negative numbers are quantities that have opposite values. |
6.NS.C.7 Understand the ordering and absolute value of rational numbers.
| 4 |
Students will be able to write, interpret, and explain statements of rational numbers in a real world context. |
| 3 |
Students will be able to write, interpret, and explain statements of order for rational numbers and determine the absolute value of a number as a positive or negative quantity. |
| 2 |
Students will be able to recognize opposite signs of numbers as indicating locations on opposite sides of 0 with help. |
| 1 |
Students will be able to find and position rational numbers on a number line with help. |
| 0 |
Students are unable to find and position rational numbers on a number line. |
6.NS.C.8 Solve real world and mathematical problems by graphing points in all four quadrants of the coordinate plane.
| 4 |
Students will be able to solve real world problems with solutions that involve graphing on a coordinate plane. |
| 3 |
Students will be able to solve problems by graphing in all four quadrants of the coordinate plane. |
| 2 |
Students will be able to graph points in 2 quadrants. |
| 1 |
Students will be able to graph points in the first quadrant with help. |
| 0 |
Students are unable to graph points in the first quadrant. |
6.EE.A.2.C Solve algebraic expressions using exponents and order of operations.
| 4 |
Students will be able to solve real-world applications involving algebraic expressions. |
| 3 |
Students will be able to solve algebraic expressions using exponents and order of operations. |
| 2 |
Students will be able to write expressions involving exponents, numbers, and letters standing for numbers. |
| 1 |
Students will be able to identify parts of an expression using mathematical terms with help. |
| 0 |
Students are unable to identify parts of an expression using mathematical terms. |
6.EE.A.3 Apply the properties of operations to generate equivalent expressions.
| 4 |
Students will be able to answer real world questions that have solutions of equivalent expressions. |
| 3 |
Students will be able to apply the properties of operations to create equivalent expressions. |
| 2 |
Students will be able to apply the properties of operations to create equivalent expressions with help. |
| 1 |
Students will be able to use addition to generate equivalent expressions with help. |
| 0 |
Students are unable to use addition to generate equivalent expressions. |
6.EE.B.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?
| 4 |
Students will be able to identify which specified set, if any, makes an equation or inequality true to answer a real world problem. |
| 3 |
Students will be able to identify which specified set, if any, makes an equation or inequality true. |
| 2 |
Students will be able to identify which specified set, if any, makes an equation or inequality true with multiple choices to choose from. |
| 1 |
Students will be able to identify which specified set, if any, makes an equation or inequality true with a few answer choices to choose from with help. |
| 0 |
Students are unable to identify which specified set, if any, makes an equation or inequality true with a few answer choices to choose. |
6.EE.B.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 nonnegative rational numbers.
| 4 |
Students will be able to solve real-world problems where the solution is writing and solving an equation. |
| 3 |
Students will be able to write and solve equations. |
| 2 |
Students will be able to solve a given equation. |
| 1 |
Students will be able to solve a given equation with help. |
| 0 |
Students are unable to solve a given equation. |
6.EE.B.8 Write an inequality of the form x>c or x<c to represent a constraint or condition in a real-world or mathematical problem.
| 4 |
Students will be able to solve and apply inequalities to real- world problems. |
| 3 |
Students will be able to write an inequality. |
| 2 |
Students will be able to use substitution to determine whether a given number makes an equation or inequality true. |
| 1 |
Students will be able to use variables to represent numbers and write expressions with help. |
| 0 |
Students are unable to use variables to represent numbers and write expressions. |
6.EE.C.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.
| 4 |
Students will be able to apply 3.0 knowledge to real-world problems. |
| 3 |
Students will be able to analyze the relationship between the independent and dependent variables using graphs, tables, and equations. |
| 2 |
Students will be able to write an equation to express one quantity (dependent variable) in terms of the other quantity (independent variable). |
| 1 |
Students will be able to write an equation with help. |
| 0 |
Students are unable to write an equation. |
6.G.1 Find and apply the area of polygons.
| 4 |
Students will be able to solve real-world problems involving finding the area of polygons. |
| 3 |
Students will be able to find and apply the area of polygons. |
| 2 |
Students will be able to find the area of polygons by composing into rectangles or decomposing into triangles and other shapes. |
| 1 |
Students will be able to find areas of rectangles with help. |
| 0 |
Students are unable to find areas of rectangles. |
6.G.3 Draw polygons in a coordinate plane.
| 4 |
Students will be able to draw polygons in a coordinate plane as a solution to a real world problem. |
| 3 |
Students will be able to draw polygons in a coordinate plane. |
| 2 |
Students will be able to draw polygons in a coordinate plane with points plotted for them. |
| 1 |
Students will be able to draw polygons in a coordinate plane with help. |
| 0 |
Students are unable to draw polygons in a coordinate plane. |
