7th Grade Mathematics

Students will define ratios and rates, distinguishing between them and applying them to simple real-world scenarios.

Identifying and computing unit rates associated with ratios of fractions and decimals.

Students will identify proportional relationships in tables and determine the constant of proportionality.

Visualizing proportions on a coordinate plane and interpreting the origin.

Students will write equations to represent proportional relationships and solve problems using these equations.

Applying proportional reasoning to solve multi step ratio and percent problems.

Students will solve problems involving percentages, including discounts, taxes, and tips.

Students will calculate simple interest, principal, rate, and time in financial scenarios.

Students will calculate percent error and apply it to real-world measurement and estimation problems.

Students will solve problems involving sales tax, tips, and commissions using proportional reasoning.

Students will calculate markup and markdown prices, understanding their application in retail.

Students will use proportional relationships to solve problems involving similar figures and scale factors.

Comprehensive review of all concepts related to ratios, rates, and proportional relationships.

Students will define integers, compare and order them, and understand the concept of absolute value.

Using number lines and absolute value to understand the movement of positive and negative values.

Students will subtract integers using the concept of adding the opposite.

Students will develop and apply rules for multiplying positive and negative integers.

Students will develop and apply rules for dividing positive and negative integers.

Students will define rational numbers and convert between fractions and terminating or repeating decimals.

Students will add and subtract rational numbers, including fractions and decimals, applying rules for signs.

Developing rules for signs and converting between fractions and terminating or repeating decimals.

Students will apply properties of operations (commutative, associative, distributive) to rational numbers.

Students will solve complex problems involving all four operations with rational numbers.

Applying operations with rational numbers to bank statements, debts, and credits.

Students will apply rational number operations to solve problems related to temperature changes and elevation.

Comprehensive review of all operations with rational numbers, including problem-solving.

Students will translate verbal phrases into algebraic expressions and identify parts of an expression.

Using properties of operations to add, subtract, factor, and expand linear expressions.

Students will simplify algebraic expressions by combining like terms.

Students will apply the distributive property to expand and factor linear expressions.

Students will solve one-step linear equations involving all four operations with rational numbers.

Solving equations of the form px + q = r and p(x + q) = r fluently.

Students will solve multi-step equations involving rational coefficients (fractions and decimals).

Students will write and solve two-step equations from verbal descriptions and real-world problems.

Writing and graphing inequalities to represent constraints in real world situations.

Students will solve and graph one-step linear inequalities.

Students will solve and graph two-step linear inequalities.

Students will apply equations and inequalities to solve complex real-world problems.

Comprehensive review of simplifying expressions, solving equations, and solving inequalities.

Computing actual lengths and areas from a scale drawing and reproducing drawings at different scales.

Students will construct triangles given specific conditions for side lengths and angle measures.

Students will describe the two-dimensional figures that result from slicing three-dimensional figures.

Using facts about supplementary, complementary, vertical, and adjacent angles to solve for unknowns.

Understanding the relationship between circumference, diameter, and area of a circle.

Students will find the area of complex two-dimensional figures by decomposing them into simpler shapes.

Calculating the total area of the faces of three dimensional figures.

Students will calculate the volume of right rectangular prisms, triangular prisms, and cylinders.

Solving problems involving the volume of complex objects by breaking them into simpler parts.

Students will solve multi-step real-world and mathematical problems involving area, volume, and surface area.

Comprehensive review of geometric concepts including scale drawings, constructions, angles, area, surface area, and volume.

Understanding the relationship between circumference, diameter, and area of a circle.

Calculating the total area of the faces of three dimensional figures.

Solving problems involving the volume of complex objects by breaking them into simpler parts.

Students will differentiate between populations and samples and understand the importance of representative samples.

Understanding that statistics can be used to gain information about a population by examining a sample.

Students will use data from a random sample to draw inferences about a population with an unknown characteristic of interest.

Students will calculate and interpret measures of center for numerical data sets.

Students will calculate and interpret measures of variability (range, interquartile range) for numerical data sets.

Using measures of center and variability to compare two numerical data distributions.

Students will define probability and understand the likelihood of events.

Students will compare theoretical and experimental probabilities of events.

Finding the probability of events and using frequencies to estimate probabilities.

Students will find probabilities of compound events using organized lists, tables, and tree diagrams.

Students will design and use simulations to generate frequencies for compound events.