# Seventh Grade Math

**How to Teach Math Lesson Plans: Seventh Grade Math**

- Describes and extends patterns in sequences
- Identifies and uses the commutative, associative, distributive, and identity properties
- Translates between simple algebraic expressions and verbal phrases
- Solves linear equations using the addition, subtraction, multiplication, and division properties of equality with integer solutions
- Writes a real world situation from a given equation
- Writes and solves equations that represent problem-solving situations
- Organizes data in a frequency table
- Interprets and constructs histograms, line graphs, and bar graphs
- Interprets and constructs circle graphs when given degrees
- Interprets and constructs stem-and-leaf plots and line plots from data
- Estimates and compares data including mean, median, mode, and range of a set of data
- Predicts and recognizes data from statistical graphs
- Determines probability of a single event
- Uses simple permutations and combinations
- Converts within a standard measurement system (English and metric)
- Converts temperature using the Fahrenheit and Celsius formulas
- Uses standard units of measurement to solve application problems
- Identifies polygons with up to twelve sides
- Classifies and compares the properties of quadrilaterals
- Classifies and measures angles
- Classifies triangles by sides and angles
- Finds the perimeter of polygons
- Finds the area of triangles and quadrilaterals
- Finds the circumference and area of a circle
- Identifies congruent segments, angles, and polygons
- Develops relationships of faces, vertices, and edges of three-dimensional figures
- Performs transformations (rotations, reflections, translations) on plane figures using physical models and graph paper
- Investigates symmetry of polygons
- Develops and applies the Pythagorean Theorem to find missing sides of right triangles
- Graphs ordered pairs on a coordinate plane
- Uses powers of ten to multiply and divide decimals
- Uses patterns to develop the concept of exponents
- Writes numbers in standard and exponential form
- Converts between standard form and scientific notation
- Finds and uses prime factorization with exponents to obtain the greatest common factor (GCF) and least common multiple (LCM)
- Uses patterns to develop the concept of roots of perfect squares with and without calculators
- Recognizes and writes integers including opposites and absolute value
- Compares and orders integers
- Adds, subtracts, multiplies, and divides integers with and without calculators
- Uses the order of operations to simplify and/or evaluate numerical and algebraic expressions with and without calculators
- Compares, orders, rounds, and estimates decimals
- Adds, subtracts, multiplies, and divides decimals in real-life situations with and without calculators
- Converts among decimals, fractions, and mixed numbers
- Expresses ratios as fractions
- Adds, subtracts, multiplies, and divides fractions and mixed numbers
- Uses estimation to add, subtract, multiply, and divide fractions
- Explores equivalent ratios and expresses them in simplest form
- Solves problems involving proportions
- Determines unit rates
- Uses models to illustrate the meaning of percent
- Converts among decimals, fractions, mixed numbers, and percents
- Determines the percent of a number
- Estimates decimals, fractions, and percents
- Uses proportions and equations to solve problems with rate, base, and part with and without calculators
- Finds the percent of increase and decrease
- Solves problems involving sales tax, discount, and simple interest with and without calculators

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