The following list provides you with the basic 7th grade mathÂ 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 an 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 the 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**