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 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**

Pre-K | Kdg. | Gr. 1 | Gr. 2 | Gr. 3 | Gr. 4 | Gr. 5 |

Gr. 6 | Gr. 7 | Gr. 8 | Gr. 9 | Gr. 10 | Gr.11 | Gr. 12 |

Edited by Anne Marie Helmenstine, Ph.D.