Math - 6+ Grade

Avon Lake City Schools 

Curriculum Framework

MATH 6+

Course Overview:

Grade 6+ math focuses on: (1) connecting ratio and rate to whole number multiplication and division and using concepts of ratio and rate to solve problems; (2) completing understanding of division of fractions and extending the notion of number to the system of rational numbers, which includes negative numbers; (3) writing, interpreting, and using expressions and equations; and (4) developing understanding of statistical thinking, but with greater complexity of examples. The robust pace and rigorous assessments are appropriate for hard-working students with proven fluency. The focus of Math 6+ is varied application of 6th grade standards and also some 7th grade standards including operations with negative rational numbers, calculating simple interest, finding the area and circumference of circles, and identifying population and sampling bias in statistics.

Textbook (Title and Publishing Company): 

EnVision Mathematics 2020, Savvas Publishing

Online/Supplemental Materials:

Successmaker Online

Assessments: 

Ohio State Test

NWEA Map Growth

EnVision Topic Assessments

Content/Topics/Learning Goals

Subject to Pacing and Schedules

1st Quarter- 

  • 1.1:  Fluently add, subtract, and multiply decimals

  • 1.2:  Fluently divide whole numbers and decimals

  • 1.3:  Multiply fractions

  • 1.4:  Understand division with fractions

  • 1.5:  Divide fractions by fractions

  • 1.6:  Divide mixed numbers

  • 1.7:  Solve problems with rational numbers

  • 2.1:  Understand integers

  • 2.2:  Represent rational numbers on the number line

  • 2.3:  Absolute values of rational numbers

  • 2.4:  Represent rational numbers on the coordinate plane

  • 2.5:  Find distances on the coordinate plane

  • 2.6:  Represent polygons on the coordinate plane

2nd Quarter- 

  • 3.1:  Understand and represent exponents

  • 3.2:  Find GCF and LCM

  • 3.3:  Write and evaluate numerical expressions

  • 3.4:  Write algebraic expressions

  • 3.5:  Evaluate algebraic expressions

  • 3.6:  Generate equivalent expressions

  • 3.7:  Simplify algebraic expressions

  • 4.1:  Understand equations and solutions

  • 4.2:  Apply properties of equality

  • 4.3:  Write and solve addition and subtraction equations

  • 4.4:  Write and solve multiplication and division equations

  • 4.5:  Write and solve equations with rational numbers

  • 4.6:  Understand and write inequalities

  • 4.7:  Solve inequalities

  • 4.8:  Understand independent and dependent variables

  • 4.9:  Use patterns to write and solve equations

  • 4.10:  Relate tables, graphs, and equations

3rd Quarter- 

  • 5.1:  Understand ratios

  • 5.1:  Generate equivalent ratios

  • 5.3:  Compare ratios

  • 5.4:  Represent and graph ratios

  • 5.6:  Understand rates and unit rates

  • 5.7:  Compare unit rates

  • 5.8:  Ratio reasoning:  convert customary units

  • 5.9:  Ratio reasoning:  convert metric units

  • 5.10:  Relate customary and metric units

  • 6.1:  Understand percent

  • 6.2:  Relate fractions, decimals, and percents

  • 6.3:  Represent percents greater than 100 or less than 1

  • 6.4:  Estimate to find percent

  • 6.5:  Find the percent of a number

  • 6.6:  Find the whole given a part and the percent

4th Quarter -  

  • 7.1:  Find areas of parallelograms and rhombuses

  • 7.2:  Solve triangle area problems

  • 7.3:  Find areas of trapezoids and kites

  • 7.4:  Find areas of polygons

  • 7.5:  Represent solid figures using nets

  • 7.6:  Find surface areas of prisms

  • 7.7:  Find surface areas of pyramids

  • 7.8:  Find volume with fractional edge lengths

  • 8.1:  Recognize statistical questions

  • 8.2:  Summarize data using mean, median, mode, and range

  • 8.3:  Display data in box plots

  • 8.4:  Display data in frequency tables

  • 8.5:  Summarize data using measures of variability

  • 8.6:  Choose appropriate statistical measures

  • 8.7:  Summarize data distributions

  • Additional Standards (from 7th grade)

  • + operations with negative rational numbers

  • + calculating simple interest

  • + finding the area and circumference of circles

  • + identifying population and sampling bias in statistic

Last Updated:

September, 2023