Math - 7+ Grade

Avon Lake City Schools

Curriculum Framework

Math - 7+ Grade

Course Overview:

Grade 7+ mathematics focuses on integers, rational numbers, fractions, proportions, percentages, probability, equivalent expressions, exponents, equations, inequalities, populations/samples and geometry. This course follows the Ohio State standards for seventh grade mathematics with additional standards from the eighth grade course material. This plus course has an increased amount of rigor and pace, including all the topics/skills from the seventh grade standards, as well as some from grade 8 state standards.

Textbook:

  • enVision Mathematics Accelerated 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

Rational Numbers and Applications

  • Whole numbers, integers
  • Modeling with number lines
  • Consecutive integers
  • Multiplying and dividing
  • Intro to rational numbers
  • Factoring and Distributive Property
  • Decimal Expansions
  • Converting Decimals to Fractions (including non terminating decimals)
  • Challenge Problems with Integers

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

Investigations of Probability

  • Intro to probability
  • Probability of single events
  • Experimental vs Theoretical
  • Permutations vs Combinations
  • Probability of “At Least One” Event
  • Charts and tree diagrams
  • Probability of compound events
  • Probability of dependent compound events
  • Simulations to find probabilities

Second Quarter

Exponents and Applications

  • Exponent Rules
  • Compare and Order Real Numbers
  • Evaluate Square Roots and Cube Roots
  • Estimating Square Roots and Cube Roots
  • Scientific Notation
  • Applications of Scientific Notation

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)
  • Interpret unit rate as slope
  • Compare distance vs. time graph with distance vs. time equation
  • Use similar triangles to explain why slope is the same between any 2 points on a non-vertical line.
  • Derive y=mx and y=mx+b

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
  • Compound interest
  • Markup and markdown
  • Percent change
  • Percent error

Third Quarter

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
  • Solve linear equation in one-variable
  • Solving literal equations
  • Examples of infinitely many solutions, many solutions, or no solutions
  • x=a, a=a, a=b
  • Expanding linear expressions using distributive property
  • Write equation of lines in slope intercept form

Fourth Quarter

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

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

Updated: September, 2023