The following list provides you with the basic 7th-grade math concepts that should be attained by the end of the school year. Mastery of the concepts at the previous grade is assumed. A standard seventh-grade course of study includes numbers, measurements, geometry, algebra, and probability. Here's a breakdown of the specific topics.

## Numbers

- Give factors, multiples, integer amounts and square roots for numbers.
- Compare and order decimals, fractions, and integers.
- Add and subtract integers.
- Be able to perform multi-step word problems for all of the above operations.
- Add, subtract, multiply and divide fractions and convert between fractions, decimals, and percents.
- Explain and justify a variety of procedures for the above-related concepts in problem-solving.

## Measurements

- Use measurement terms appropriately, be able to measure a variety of items at home and at school.
- Be able to solve more complex problems with measurement estimations problems using a variety of formulas.
- Estimate and calculate areas for trapezoids, parallelograms, triangles, prisms circles using the correct formulas.
- Estimate and calculate volumes for prisms, sketch prisms (rectangular) given the volumes.

## Geometry

- Hypothesize, sketch, identify, sort, classify, construct, measure, and apply a variety of geometric shapes and figures and problems.
- Sketch and construct a variety of shapes given the dimensions.
- Create and solve a variety of geometric problems.
- Analyze and identify shapes that have been rotated, reflected, translated and describe those that are congruent.
- Determine if shapes/figures will tile a plane (tessellate).
- Analyze different types of tiling patterns.

## Algebra/Patterning

- Extend, analyze and justify the explanations for patterns and their rules and a more complex level
- Be able to write algebraic equations/expressions and write statements to understand simple formulas.
- Evaluate a variety of simple linear algebraic expressions at a beginning level-- 1 variable and first-degree.
- Be able to solve and simplify algebraic equations with the 4 operations.
- Substitute natural numbers for variables when solving algebraic equations.

## Probability

- Design surveys, collect and organize more complex data and identify and explain patterns and trends in data.
- Construct a variety of graphs and label them appropriately and state the difference between selecting one graph over another.
- Defend your choices of graphs.
- Make more accurate predictions based on data.
- Understand the importance of statistics on decision making and provide real-life scenarios.
- Describe collected data in terms of mean, median, and mode and be able to analyze any bias.
- Make inferences, predictions, and evaluations based on interpretations of data collection results.
- Be able to predict possible outcomes based on background information.
- Apply the rules of probability to games of chance and sports.

**Course Topics for All Grades**