Grade 7 Math Florida standards Standards

Algebraic Reasoning

Rewrite algebraic expressions in equivalent forms.

Write and solve equations and inequalities in one variable.

Use percentages and proportional reasoning to solve problems.

Analyze and represent two-variable proportional relationships.

Data Analysis and Probability

Represent and interpret numerical and categorical data.

Develop an understanding of probability. Find and compare experimental and theoretical probabilities.

Geometric Reasoning

Solve problems involving two-dimensional figures, including circles.

Solve problems involving three-dimensional figures, including right circular cylinders.

Add and subtract linear expressions that include like terms.

Use tools or manipulatives to compare two linear expressions, with no more than two operations, to determine whether they are equivalent.

Select a one-step inequality from a list that represents a real-world situation and given a set of three or fewer values, use substitution to solve.

Set up two-step equations in one variable based on real-world problems.

Solve two-step equations in one variable based on real-world problems, where all terms have positive integer coefficients.

Solve simple percentage problems in real-world contexts.

Solve simple ratio problems in real-world contexts.

Use tools to solve real-world problems involving conversion of units in the same measurement system.

Given a table or a graph, determine whether two quantities have a proportional relationship.

Identify the constant of proportionality when given a table or graph of a proportional relationship.

Given a table or equation, graph a proportional relationship.

Given a table representation of a proportional relationship, translate the relationship into an equation or a graph.

Solve simple real-world problems involving proportional relationships.

Use context to determine the appropriate measure of center (mean or median) or range to summarize a numerical data set with 10 or fewer elements, represented numerically or graphically.

Given two numerical or graphical representations of data in the same form, compare the mean, median or range of each representation.

Given data from a random sample of the population, select from a list an appropriate prediction about the population based on the data.

Use proportional reasoning to interpret data in a pie chart.

Given a data set, select an appropriate graphical representation (histogram, bar chart, or line plot).

Use tree diagrams, frequency tables, organized lists, and/or simulations to collect data from a simple experiment.

Given the probability of a simple chance event written as a fraction, percentage or decimal between 0 and 1, determine how likely is it that an event will occur.

Determine the theoretical probability of a simple chance event.

Conduct a simple experiment to find experimental probabilities.

Given the formulas, find the area of parallelograms and rhombi.

Decompose complex shapes (polygon, trapezoid, and pentagon) into simple shapes (rectangles, squares, triangles) to measure area.

Apply a given formula for the circumference of a circle to solve mathematical problems.

Apply a given formula to find the area of a circle to solve mathematical problems.

Use a scale factor to draw a scale drawing of a real-world two-dimensional polygon on graph paper.

Match the parts of a given formula to the right circular cylinder using the figures net.

Given the formula, use tools to find the surface area of a right circular cylinder using the figures net.

Given a formula, use tools to calculate the volume of right circular cylinders.

Use properties of whole number exponents to produce equivalent expressions.

Rewrite positive rational numbers in different but equivalent forms such as fractions, mixed numbers, repeating decimals and/or percentages to solve problems.

Solve mathematical problems, using no more than four operations, with rational numbers including grouping symbols, whole-number exponents and absolute value.

Using tools or models, add, subtract, multiply and divide rational numbers.

Using tools or models, solve real-world problems involving any of the four operations with rational numbers.

Number Sense and Operations

Rewrite numbers in equivalent forms.

Add, subtract, multiply and divide rational numbers.

Develop an understanding of probability. Find and compare experimental and theoretical probabilities.

Represent and interpret numerical and categorical data.

Data Analysis and Probability

Solve problems involving three-dimensional figures, including right circular cylinders.

Solve problems involving two-dimensional figures, including circles.

Geometric Reasoning

Analyze and represent two-variable proportional relationships.

Use percentages and proportional reasoning to solve problems.

Write and solve equations and inequalities in one variable.

Rewrite algebraic expressions in equivalent forms.

Algebraic Reasoning

Add, subtract, multiply and divide rational numbers.

Rewrite numbers in equivalent forms.

Number Sense and Operations

Apply properties of operations to add and subtract linear expressions with rational coefficients.

Determine whether two linear expressions are equivalent.

Write and solve one-step inequalities in one variable within a mathematical context and represent solutions algebraically or graphically.

Write and solve two-step equations in one variable within a mathematical or real-world context, where all terms are rational numbers.

Apply previous understanding of percentages and ratios to solve multi-step real-world percent problems.

Apply previous understanding of ratios to solve real-world problems involving proportions.

Solve mathematical and real-world problems involving the conversion of units across different measurement systems.

Determine whether two quantities have a proportional relationship by examining a table, graph or written description.

Determine the constant of proportionality within a mathematical or real-world context given a table, graph or written description of a proportional relationship.

Given a mathematical or real-world context, graph proportional relationships from a table, equation or a written description.

Given any representation of a proportional relationship, translate the representation to a written description, table or equation.

Solve real-world problems involving proportional relationships.

Determine an appropriate measure of center or measure of variation to summarize numerical data, represented numerically or graphically, taking into consideration the context and any outliers.

Given two numerical or graphical representations of data, use the measure(s) of center and measure(s) of variability to make comparisons, interpret results and draw conclusions about the two populations.

Given categorical data from a random sample, use proportional relationships to make predictions about a population.

Use proportional reasoning to construct, display and interpret data in circle graphs.

Given a real-world numerical or categorical data set, choose and create an appropriate graphical representation.

Determine the sample space for a simple experiment.

Given the probability of a chance event, interpret the likelihood of it occurring. Compare the probabilities of chance events.

Find the theoretical probability of an event related to a simple experiment.

Use a simulation of a simple experiment to find experimental probabilities and compare them to theoretical probabilities.

Apply formulas to find the areas of trapezoids, parallelograms and rhombi.

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

Explore the proportional relationship between circumferences and diameters of circles. Apply a formula for the circumference of a circle to solve mathematical and real-world problems.

Explore and apply a formula to find the area of a circle to solve mathematical and real-world problems.

Solve mathematical and real-world problems involving dimensions and areas of geometric figures, including scale drawings and scale factors.

Given a mathematical or real-world context, find the surface area of a right circular cylinder using the figure’s net.

Solve real-world problems involving surface area of right circular cylinders.

Solve mathematical and real-world problems involving volume of right circular cylinders.

Know and apply the Laws of Exponents to evaluate numerical expressions and generate equivalent numerical expressions, limited to whole-number exponents and rational number bases.

Rewrite rational numbers in different but equivalent forms including fractions, mixed numbers, repeating decimals and percentages to solve mathematical and real-world problems.

Solve mathematical problems using multi-step order of operations with rational numbers including grouping symbols, whole-number exponents and absolute value.

Add, subtract, multiply and divide rational numbers with procedural fluency.

Solve real-world problems involving any of the four operations with rational numbers.