Math - 7th Grade

Avon Lake City Schools

Curriculum Framework

Math - 7th Grade

Course Overview:

Grade 7 mathematics focuses on integers, rational numbers, fractions, proportions, percentages, probability, equivalent expressions, equations, inequalities, populations/samples and geometry. This course follows the Ohio State standards for seventh grade mathematics.

Textbook:

  • enVision Mathematics Grade 7

Online/Supplemental Materials:

  • SuccessMaker
  • Delta Math
  • Teacher created materials

Assessments:

  • Ohio State Test (OST)
  • enVision book tests
  • Teacher created assessments
  • Projects where appropriate

Content/Topics/Learning Goals

Subject to Pacing and Schedules

First Quarter

Integers and Applications

  • Whole numbers, integers
  • Modeling with number lines
  • Consecutive integers
  • Multiplying and dividing integers
  • Distributive property with integers
  • Intro to rational numbers
  • Factors

Fractions and Applications

  • Converting fractions to decimals
  • Converting decimals to fractions
  • Operations with real numbers
  • Extended operations with fractions and decimals (including variables)
  • Complex Fractions

Applications of Proportions

  • Ratios, rates, and unit rates
  • Unit pricing
  • Equivalent ratios
  • Constant of proportionality (tables, graphs, and applications)
  • Solving proportions
  • Applications of proportions (scale drawings)

Second Quarter

Applications of Percents

  • Converting decimals, percents, and fractions
  • Connecting percents to proportions
  • Percent equation
  • Percent increase and decrease
  • Applications of percents (discounts, sales, tax, tips)
  • Commissions
  • Simple interest
  • Markup and markdown
  • Percent change
  • Percent error

Investigations of Probability

  • Intro to probability
  • Probability of single events
  • Experimental vs Theoretical
  • Charts and tree diagrams
  • Probability of compound events
  • Probability of dependent compound events
  • Simulations to find probabilities

Generate equivalent expressions

  • Write and evaluate algebraic expressions
  • Factoring
  • Adding and subtracting expressions
  • Analyze equivalent expressions

Linear Equations and Inequalities

  • Writing two step equations
  • Solving two step equations
  • Combining like terms
  • Distributive property
  • Applications of equations
  • Linear inequalities
  • Graphing solutions on a number line
  • Applications of inequalities

Third Quarter

Linear Equations and Inequalities Continued

Populations and Samples

  • Samples and vocabulary
  • Drawing Inferences
  • Dot plots
  • Measures of central tendencies
  • Mean Absolute Deviation
  • Box and whisker plots

Applications of plane figures

  • 2D Geometry
  • Area of triangles and quadrilaterals
  • Perimeter of triangles and quadrilaterals
  • Area of Circles
  • Circumference of Circles
  • Pythagorean Theorem
  • Composite Shapes and areas

Fourth Quarter

Applications of plane figures Continued

Applications of 3-D Geometry

  • Cross Sections
  • Volumes of prisms and pyramids
  • Surface Area of prisms and pyramids
  • Multi step problems with prisms

Application of Geometric Problems

  • Drawing triangles and polygons
  • Supplementary and complementary angles
  • Triangle sum theorem
  • Vertical angles
  • Angles on parallel lines

Algebra Topics if time permits

Updated: September, 2023