What does a student learn in StateMissouri,GradeGrade 7,SubjectMathematics?

Analyze proportional relationships and use them to solve problems.

Determine when two quantities are in a proportional relationship.

Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation.

Solve problems involving ratios, rates, percentages and proportional relationships.

Apply and extend previous understandings of operations to add, subtract, multiply and divide rational numbers.

Describe situations and show that a number and its opposite have a sum of 0 (additive inverses).

Interpret sums and differences of rational numbers.

Determine that a number and its reciprocal have a product of 1 (multiplicative inverse).

Interpret products and quotients of rational numbers by describing real-world contexts.

Solve problems involving the four arithmetic operations with rational numbers.

Use properties of operations to generate equivalent expressions.

Apply properties of operations to simplify and to factor linear algebraic expressions with rational coefficients.

Understand how to use equivalent expressions to clarify quantities in a problem.

Solve problems using numerical and algebraic expressions and equations.

Assess the reasonableness of answers using mental computation and estimation strategies.

Write and/or solve two-step equations of the form px + q = r and p(x + q) = r, where p, q and r are rational numbers, and interpret the meaning of the solution in the context of the problem.

Write, solve and/or graph inequalities of the form px + q > r or px + q < r, where p, q and r are rational numbers.

Draw and describe geometric figures and describe the relationships between them.

Solve problems involving scale drawings of real objects and geometric figures, including computing actual lengths and areas from a scale drawing and reproducing the drawing at a different scale.

Analyze the relationships among the circumference, the radius, the diameter, the area and Pi in a circle.

Know and apply the formulas for circumference and area of circles to solve problems.

Apply and extend previous understanding of angle measure, area and volume.

Find the area of triangles, quadrilaterals and other polygons composed of triangles and rectangles.

Find the volume and surface area of prisms, pyramids and cylinders.

Use random sampling to draw inferences about a population.

Understand that generalizations from a sample are valid only if the sample is representative of the population.

Draw informal comparative inferences about two populations.

Analyze different data distributions using statistical measures.

Develop, use and evaluate probability models.

Determine probabilities of simple events

Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring.