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Subject  >  Math  >  Grade 7 Math Program

Grade 7 Math Program

This is a representative list of topics covered in our Grade 7 Math program - however all programs will be customized for the individual student.


ALGEBRA I & II

  ALGEBRA

  • Represent, analyze, and generalize a variety of patterns
  • Different forms of representation for a relationship
  • Linear and nonlinear functions
  • Different uses of variables
  • Symbolic expressions and graphs of lines
  • Intercept and slope
  • Symbolic algebra
  • Linear relationships
  • Simple algebraic expressions
  • Solve linear equations
  • Solve problems using graphs, tables, and equations
  • Changes in quantities in linear relationships
 

  DATA ANALYSIS AND PROBABILITY

  • Characteristics shared by two populations
  • Different characteristics within one population
  • Graphical representations of data
  • Mean and interquartile range
  • Data sets and their graphical representations
  • Develop and evaluate inferences and predictions that are based on data
  • Observation of populations using samples
  • Relationships between two characteristics of a sample
  • Complementary and mutually exclusive events
  • Proportionality
  • Basic understanding of probability
  • Probabilities for simple compound events

  GEOMETRY

  • Types of two- and three-dimensional objects and their properties
  • Angles, side lengths, perimeters, areas, and volumes of similar objects
  • Congruence, similarity, and the Pythagorean relationship
  • Properties of geometric shapes using coordinate geometry
  • Special geometric shapes such as regular polygons
  • Transformations such as flips, turns, slides, and scaling
  • Congruence, similarity, and line or rotational symmetry
  • Draw geometric objects with specified properties
  • Two-dimensional representations of three-dimensional objects
  • Problems involving surface area and volume
  • Visual tools such as networks
  • Geometric models explain numerical and algebraic relationships
  • Explore math outside the classroom, such as art, science, and everyday life

  MEASUREMENT

  • Metric and customary system of measurement
  • Convert of units within the same system
  • Time and Money
  • Measure angles, perimeter, area, surface area, and volume
  • Methods for estimating measurements
  • Circumference of circles and the area of triangles, parallelograms, trapezoids, and circles
  • Area of more-complex shapes
  • Surface area and volume of selected prisms, pyramids, and cylinders
  • Problems involving scale factors (using ratio and proportion)
  • Problems involving velocity and density

  NUMBER AND OPERATIONS

  • Fractions, decimals, and percents to solve problems
  • Compare and order fractions, decimals, and percents
  • Percents greater than 100 and less than 1
  • Ratios and proportions
  • Exponential, scientific, and calculator notation
  • Factors, multiples, prime factorization
  • Integers - represent and compare quantities with them
  • Arithmetic operations with fractions, decimals, and integers
  • Associative and commutative properties of addition and multiplication
  • Distributive property of multiplication over addition
  • Inverse relationships of addition and subtraction, multiplication and division
  • Squaring and finding square roots
  • Computing with fractions and decimals
  • Algorithms for computing with fractions, decimals, and integers
  • Rational-number computations
  • Problems involving proportions - such as scaling and finding equivalent ratios

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