Grade 6 Math Practice

Substitute given values for variables and evaluate algebraic expressions.

Generate equivalent expressions by combining like terms and using the distributive property.

Understand that an equation expresses the equality of two expressions and write equations to represent relationships.

Identify parts of an expression such as terms, variables, constants, and coefficients.

Understand that inequalities represent a range of solutions and write inequalities to represent a condition on a variable.

Use substitution to determine if a given number in a specified set makes an equation true and solve one-step linear equations.

Use variables to represent unknown quantities in real-world problems and write expressions to represent these quantities.

Translate verbal phrases into algebraic expressions involving variables and numbers.

Students will learn to divide a fraction by a fraction using visual models and by understanding the relationship between multiplication and division.

Students will fluently add and subtract multi-digit whole numbers using the standard algorithm, building upon prior grade-level skills.

Students will develop fluency in dividing multi-digit whole numbers using a standard algorithm, including cases with remainders.

Students will find the greatest common factor of two whole numbers less than or equal to 100 using prime factorization or listing factors.

Students will find the least common multiple of two whole numbers less than or equal to 100 using prime factorization or listing multiples.

Students will fluently add, subtract, multiply, and divide decimals using the standard algorithm, extending skills from previous grades.

Students will fluently add, subtract, multiply, and divide fractions, including mixed numbers, using appropriate strategies and algorithms.

Students will understand the concept of negative numbers and their position relative to zero on a number line, including comparing and ordering integers.

Students will interpret numerical expressions without evaluating them, focusing on understanding the meaning of the operations and grouping symbols within the context of a problem.

Students will solve unit rate and ratio problems, including those involving tables of equivalent ratios, by reasoning about the relationship between quantities.

Students will extend their understanding of the number line to include rational numbers, including their placement and comparison. This includes understanding positive and negative numbers.

Students will understand the concept of a ratio and use ratio language to describe the relationship between two quantities. They will also begin to understand the concept of proportionality.

Students will use ratios to solve problems involving unit rates, such as finding the cost per pound or the speed of an object.

Students will find the area of polygons (including irregular shapes) by decomposing them into smaller, known shapes like triangles and rectangles.

Students will understand and apply formulas to find the area of triangles and parallelograms, including decomposing and rearranging shapes.

Students will find the length of a side of a polygon and the distance between two points on the same horizontal or vertical line on the coordinate plane.

Students will draw polygons in the first quadrant of the coordinate plane given the coordinates for the vertices.

Students will find the surface area of right prisms by developing and using nets, understanding that surface area is the sum of the areas of all faces.

Students will find the volume of cubes and right rectangular prisms using unit cubes and by applying the formula V = lwh.

Students will collect data in an appropriate way to answer a statistical question and organize it into tables and dot plots.

Students will summarize numerical data sets in relation to their context by reporting the number of observations, and describing the nature of the attribute under investigation, including how the data was measured and gathered, and by describing the overall distribution of the data and any apparent outliers.

Students will calculate and interpret measures of center, including mean and median, to describe a data set.

Students will describe the variability of a data set by examining the range and interquartile range (IQR).

Students will learn to distinguish between statistical questions, which anticipate variability in the data related to a question, and non-statistical questions.