Grade 6 Math Florida standards Standards

Extend understanding of operations with integers.

Apply properties of operations to rewrite numbers in equivalent forms.

Add, subtract, multiply and divide positive rational numbers.

Extend knowledge of numbers to negative numbers and develop an understanding of absolute value.

Number Sense and Operations

Model and solve problems involving two-dimensional figures and three-dimensional figures.

Apply previous understanding of the coordinate plane to solve problems.

Geometric Reasoning

Develop an understanding of statistics and determine measures of center and measures of variability. Summarize statistical distributions graphically and numerically.

Data Analysis and Probability

Understand ratio and unit rate concepts and use them to solve problems.

Develop an understanding for solving equations and inequalities. Write and solve one-step equations in one variable.

Apply previous understanding of arithmetic expressions to algebraic expressions.

Algebraic Reasoning

Use tools or models to combine like terms in an expression with no more than four operations.

Write or select an algebraic expression that represents a real-world situation.

Write or select an inequality that represents a real-world situation.

Solve an expression using substitution with no more than two operations.

Choose which values, from a set of five or fewer integers, make an equation or inequality true.

Solve real-world, one-step linear equations using addition and subtraction involving integers.

Solve real-world, one-step linear equations using multiplication and division involving integers.

Solve a one-step equation using fractions with like denominators or decimals with place value ranging from the thousand to the thousandths.

Given a real-world context, write and interpret ratios to show the relative sizes of two quantities using notation: a/b, a to b, or a:b where b ≠ 0 with guidance and support.

Given a rate, calculate the unit rate for a ratio with different units.

Given a visual representation, write or select a ratio that describes the ratio relationship between part-to-part and part-to-whole ratios.

Calculate a percentage of quantity as rate per 100 using models (e.g., percent bars or 10 10 grids).

Use tools, models or manipulatives to solve problems involving ratio relationships including mixtures and ratios of length.

Use tools, models or manipulatives to solve ratio, rate or unit rate problems involving conversions within the same measurement system.

Identify statistical questions from a list that would generate numerical data.

Use tools to identify and calculate the mean, median, mode and range represented in a set of data with no more than five elements.

Identify and explain what the mean and mode represent in a set of data with no more than five elements.

Given a box plot, identify the value of the minimum, the lower quartile, the median, the upper quartile and the maximum.

Given a histogram or a line plot, describe the physical features of the graph.

Create histograms to represent sets of numerical data with 10 or fewer elements.

Calculate and identify changes (increase or decrease) in the median, mode or range when a data value is added or subtracted from a data set.

Plot integer ordered pairs in all four quadrants and on both axes.

Count the distance between two ordered pairs with the same x-coordinate or the same y-coordinate.

Given a rectangle plotted on the coordinate plane, find the perimeter or area of the rectangle.

Given the formula, find the area of a triangle.

Decompose quadrilaterals and composite figures into simple shapes (rectangles or triangles) to measure area.

Given a real-world problem, find the volume of a rectangular prism using a visual model and the formula.

Find the surface area of right rectangular prisms by adding the areas of the shapes forming the two-dimensional net.

Plot, order and compare rational numbers (positive and negative integers within 10 from 0, fractions with common denominators, decimals up to the hundredths and percentages) in the same form.

Represent positive and negative numbers in the same form on a number line given a real-world situation and explain the meaning of zero within its context.

Find absolute value of a rational number ranging from 30 to 30 using a number line.

Use manipulatives, models or tools to compare absolute value in mathematical and real-world problems.

Solve one-step multiplication and division problems involving positive decimals whose place value ranges from the tens to the hundredths places.

Use tools to calculate the product and quotient of positive fractions by positive fractions, including mixed numbers, using the standard algorithms.

Solve one-step real-world problems involving any of the four operations with positive decimals ranging from the hundreds to hundredth place value.

Solve one-step real-world problems involving any of the four operations with positive fractions and mixed numbers with like denominators.

Use tools to find the greatest common factor and least common multiple of two whole numbers 50 or less.

Use the distributive property to express a number as the sum of two whole numbers multiplied by a common factor.

Identify what an exponent represents (e.g., 8= 8 8 8).

Solve numerical expressions involving whole-number bases and exponents (e.g.,5+Syntax error from line 1 column 49 to line 1 column 73. Unexpected '

4 Use a tool to show the prime factors of a composite whole number (e.g., 20 = 2 2 5).

Rewrite a positive rational number 3 or less, as a fraction, decimal or a percent.

Use tools to add and subtract integers between 50 and 50.

Use tools to multiply and divide integers between 20 and 20.

Develop an understanding of statistics and determine measures of center and measures of variability. Summarize statistical distributions graphically and numerically.

Data Analysis and Probability

Model and solve problems involving two-dimensional figures and three-dimensional figures.

Apply previous understanding of the coordinate plane to solve problems.

Geometric Reasoning

Understand ratio and unit rate concepts and use them to solve problems.

Develop an understanding for solving equations and inequalities. Write and solve one-step equations in one variable.

Apply previous understanding of arithmetic expressions to algebraic expressions.

Algebraic Reasoning

Extend understanding of operations with integers.

Apply properties of operations to rewrite numbers in equivalent forms.

Add, subtract, multiply and divide positive rational numbers.

Extend knowledge of numbers to negative numbers and develop an understanding of absolute value.

Number Sense and Operations

Given a mathematical or real-world context, translate written descriptions into algebraic expressions and translate algebraic expressions into written descriptions.

Translate a real-world written description into an algebraic inequality in the form of x > a, x < a, x ≥ a or x ≤ a. Represent the inequality on a number line.

Evaluate algebraic expressions using substitution and order of operations.

Apply the properties of operations to generate equivalent algebraic expressions with integer coefficients.

Given an equation or inequality and a specified set of integer values, determine which values make the equation or inequality true or false.

Write and solve one-step equations in one variable within a mathematical or real-world context using addition and subtraction, where all terms and solutions are integers.

Write and solve one-step equations in one variable within a mathematical or real-world context using multiplication and division, where all terms and solutions are integers.

Determine the unknown decimal or fraction in an equation involving any of the four operations, relating three numbers, with the unknown in any position.

Given a real-world context, write and interpret ratios to show the relative sizes of two quantities using appropriate notation: a/b, a to b, or a:b where b ≠ 0.

Given a real-world context, determine a rate for a ratio of quantities with different units. Calculate and interpret the corresponding unit rate.

Extend previous understanding of fractions and numerical patterns to generate or complete a two- or three-column table to display equivalent part-to-part ratios and part-to-part-to-whole ratios.

Apply ratio relationships to solve mathematical and real-world problems involving percentages using the relationship between two quantities.

Solve mathematical and real-world problems involving ratios, rates and unit rates, including comparisons, mixtures, ratios of lengths and conversions within the same measurement system.

Recognize and formulate a statistical question that would generate numerical data.

Given a numerical data set within a real-world context, find and interpret mean, median, mode and range.

Given a box plot within a real-world context, determine the minimum, the lower quartile, the median, the upper quartile and the maximum. Use this summary of the data to describe the spread and distribution of the data.

Given a histogram or line plot within a real-world context, qualitatively describe and interpret the spread and distribution of the data, including any symmetry, skewness, gaps, clusters, outliers and the range.

Create box plots and histograms to represent sets of numerical data within real-world contexts.

Given a real-world scenario, determine and describe how changes in data values impact measures of center and variation.

Extend previous understanding of the coordinate plane to plot rational number ordered pairs in all four quadrants and on both axes. Identify the x- or y-axis as the line of reflection when two ordered pairs have an opposite x- or y-coordinate.

Find distances between ordered pairs, limited to the same x-coordinate or the same y-coordinate, represented on the coordinate plane.

Solve mathematical and real-world problems by plotting points on a coordinate plane, including finding the perimeter or area of a rectangle.

Derive a formula for the area of a right triangle using a rectangle. Apply a formula to find the area of a triangle.

Solve mathematical and real-world problems involving the area of quadrilaterals and composite figures by decomposing them into triangles or rectangles.

Solve mathematical and real-world problems involving the volume of right rectangular prisms with positive rational number edge lengths using a visual model and a formula.

Given a mathematical or real-world context, find the surface area of right rectangular prisms and right rectangular pyramids using the figure’s net.

Extend previous understanding of numbers to define rational numbers. Plot, order and compare rational numbers.

Given a mathematical or real-world context, represent quantities that have opposite direction using rational numbers. Compare them on a number line and explain the meaning of zero within its context.

Given a mathematical or real-world context, interpret the absolute value of a number as the distance from zero on a number line. Find the absolute value of rational numbers.

Solve mathematical and real-world problems involving absolute value, including the comparison of absolute value.

Multiply and divide positive multi-digit numbers with decimals to the thousandths, including using a standard algorithm with procedural fluency.

Extend previous understanding of multiplication and division to compute products and quotients of positive fractions by positive fractions, including mixed numbers, with procedural fluency.

Solve multi-step real-world problems involving any of the four operations with positive multi-digit decimals or positive fractions, including mixed numbers.

Given a mathematical or real-world context, find the greatest common factor and least common multiple of two whole numbers.

Rewrite the sum of two composite whole numbers having a common factor, as a common factor multiplied by the sum of two whole numbers.

Evaluate positive rational numbers and integers with natural number exponents.

Express composite whole numbers as a product of prime factors with natural number exponents.

Rewrite positive rational numbers in different but equivalent forms including fractions, terminating decimals and percentages.

Apply and extend previous understandings of operations with whole numbers to add and subtract integers with procedural fluency.

Apply and extend previous understandings of operations with whole numbers to multiply and divide integers with procedural fluency.