6th Grade Math Learning Targets
Middle School Learning Targets - 6th Grade Mathematics (Math 6)
- Solve real-world and mathematical problems involving area, surface area, and volume.
6.GM.A.1 Find the area of triangles, quadrilaterals, and other polygons by composing into rectangles or decomposing into triangles and other shapes. Apply these techniques to solve problems in authentic contexts.
6.GM.A.2 Find the volume of a right rectangular prism with fractional edge lengths by filling it with unit cubes of appropriate unit fraction edge lengths. Connect and apply to the formulas V = l w h and V = b h to find volumes of right rectangular prisms with fractional edge lengths to solve problems in authentic contexts.
6.GM.A.3 Draw polygons in the four quadrant coordinate plane given coordinates for the vertices and find the length of a side. Apply these techniques to solve problems in authentic contexts.
6.GM.A.4 Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures, including those from authentic contexts.
- Recognize and represent ratios.
6.RP.A.1 Understand the concept of a ratio in authentic contexts, and use ratio language to describe a ratio relationship between two quantities.
- Apply ratio reasoning to solve real-world ratio, rate, and percent problems.
6.RP.A.2 Understand the concept of a unit rate in authentic contexts and use rate language in the context of a ratio relationship.
6.RP.A.3 Use ratio and rate reasoning to solve problems in authentic contexts that use equivalent ratios, unit rates, percents, and/or measurement units.
- Compute and explain division with fractions.
6.NS.A.1 Represent, interpret, and compute quotients of fractions to solve problems in authentic contexts involving division of fractions by fractions.
- Fluently add, subtract, multiply, divide, and find factors and multiples.
6.NS.B.2 Fluently divide multi-digit numbers using accurate, efficient, and flexible strategies and algorithms based on place value and properties of operations.
6.NS.B.3 Fluently add, subtract, multiply, and divide positive rational numbers using accurate, efficient, and flexible strategies and algorithms.
6.NS.B.4 Determine greatest common factors and least common multiples using a variety of strategies. Apply the distributive property to express a sum of two whole numbers 1–100 with a common factor as a multiple of a sum of two whole numbers with no common factor.
- Uses algebraic expressions, equations, and inequalities to solve problems.
6.AEE.A.1 Write and evaluate numerical expressions involving whole-number bases and exponents.
6.AEE.A.2 Write, read, and evaluate expressions in which letters stand for numbers. Apply knowledge of common mathematical terms to move between the verbal and mathematical forms of an expression including expressions that arise from authentic contexts.
6.AEE.A.3 Apply the properties of operations to generate equivalent expressions and to determine when two expressions are equivalent.
6.AEE.B.4 Understand solving an equation or inequality as a process of answering which values from a specified set, if any, make the equation or inequality true. Use substitution to determine which number(s) in a given set make an equation or inequality true.
6.AEE.B.5 Use variables to represent numbers and write expressions when solving problems in authentic contexts.
6.AEE.B.6 Write and solve equations of the form x + p = q and px = q in problems that arise from authentic contexts for cases in which p, q and x are all nonnegative rational numbers.
6.AEE.B.7 Write inequalities of the form x > c and x < c to represent constraints or conditions to solve problems in authentic contexts. Describe and graph on a number line solutions of inequalities of the form x > c and x < c.
6.AEE.C.8 Use variables to represent and analyze two quantities to solve problems in authentic contexts. Including those that change in relationship to one another; write an equation to express one quantity in terms of the other quantity.
- Apply and extend previous understandings of numbers to the system of rational numbers.
6.NS.C.5 Understand that positive and negative numbers are used together to describe quantities having opposite directions or values. Use positive and negative numbers to represent quantities in authentic contexts, explaining the meaning of zero in each situation.
6.NS.C.6 Represent a rational number as a point on the number line. Extend number line diagrams and coordinate axes to represent points on the line and in the coordinate plane with negative number coordinates.
6.NS.C.7 Interpret statements of inequality as statements about the relative position of two numbers on a number line diagram. Write, interpret, and explain statements of order for rational numbers and absolute value in authentic applications.
6.NS.C.8 Graph points in all four quadrants of the coordinate plane to solve problems in authentic contexts. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate.
- Formulate statistical questions, collect and analyze data, and interpret results to draw conclusions.
7.DR.A.1 Formulate summary, comparative investigative questions to gain information about a population and that a sample is valid only if the sample is representative of that population.
7.DR.B.2 Collect or consider data from a random sample to compare and draw inferences about a population with an unknown characteristic of interest.
7.DR.C.3 Analyze two data distributions visually to compare multiple measures of center and variability.
7.DR.D.4 Interpret measures of center and measures of variability for numerical data from random samples to compare between two populations, and to answer investigative questions.
- Communicate fluently using the formal language of mathematics, use proper notation, and appropriate units.
Use appropriate mathematical language
Use appropriate forms of mathematical representation to present information correctly
Move between different forms of mathematical representation
Communicate through lines of reasoning that are complete and coherent
Present work that is usually organized using a logical structure.