Warwick School District

Curriculum❯Math 06

Math 06

Grade Levels: 06 |

Course Description

Grade 6 mathematics is about connecting ratio and rate to whole number multiplication and division and using concepts of ratio and rate to solve problems; completing understanding of division of fractions and extending the notion of number to the system of rational numbers, which includes negative numbers; writing, interpreting, and using expressions and equations; and developing understanding of statistical thinking.

Core Curriculum Content Standards

PA Common Core: Mathematics (2013)

  • Numbers and Operations

    • GRADE 6

      • Understand ratio concepts and use ratio reasoning to solve problems.(2.1.6.D1)
      • Apply and extend previous understandings of multiplication and division to divide fractions by fractions.(2.1.6.E1)
      • Identify and choose appropriate processes to compute fluently with multi-digit numbers.(2.1.6.E2)
      • Develop and/or apply number theory concepts to find common factors and multiples.(2.1.6.E3)
      • Apply and extend previous understandings of numbers to the system of rational numbers.(2.1.6.E4)

  • Algebraic Concepts

    • GRADE 6

      • Apply and extend previous understandings of arithmetic to algebraic expressions.(2.2.6.B1)
      • Understand the process of solving a one-variable equation or inequality and apply to real-world and mathematical problems.(2.2.6.B2)
      • Represent and analyze quantitative relationships between dependent and independent variables.(2.2.6.B3)

  • Geometry

    • GRADE 6

      • Apply appropriate tools to solve real-world and mathematical problems involving area, surface area, and volume.(2.3.6.A1)

  • Measurement, Data and Probability

    • GRADE 6

      • Demonstrate anunderstanding ofstatistical variability bydisplaying, analyzing,and summarizingdistributions.(2.4.6.B1)

Mathematics

  • Grade 6

    • The Number System

      • Apply and extend previous understandings of multiplication and division to divide fractions byfractions.

        • Solve real-world andmathematical problems involvingdivision of fractions.(M.06.A-N.1.1)

      • Compute with multi-digit numbers and find common factors and multiples.

        • Compute with multi-digitnumbers using the fourarithmetic operations with orwithout a calculator.(M.06.A-N.2.1)
        • Apply number theory concepts(specifically, factors andmultiples).(M.06.A-N.2.2)

      • Apply and extend previous understandings of numbers to the system of rational numbers.

        • Understand that positive andnegative numbers are usedtogether to describe quantitieshaving opposite directions orvalues and locations on thenumber line and coordinateplane.(M.06.A-N.3.1)
        • Understand ordering and absolute value of rational numbers.(M.06.A-N.3.2)

    • Ratios and Proportional Relationships

      • Understand ratio concepts and use ratio reasoning to solve problems.

        • Represent and/or solve realworld and mathematical problems using rates, ratios, and/or percents.(M.06.A-R.1.1)

    • Expressions and Equations

      • Apply and extend previous understandings of arithmetic to numerical and algebraic expressions.

        • Identify, write, and evaluate numerical and algebraic expressions.(M.06.B-E.1.1)

      • Interpret and solve one-variable equations and inequalities.

        • Create, solve, and interpret onevariable equations or inequalities in real-world and mathematical problems.(M.06.B-E.2.1)

      • Represent and analyze quantitative relationships between dependent and independent variables.

        • Use variables to represent two quantities in a real-world problem that change in relationship to one another.(M.06.B-E.3.1)

    • Geometry

      • Solve real-world and mathematical problems involving area, surface area, and volume.

        • Find area, surface area, and volume by applying formulas and using various strategies.(M.06.C-G.1.1)

    • Statistics and Probability

      • Demonstrate understanding of statistical variability by summarizing and describing distributions.

        • Display, analyze, and summarize numerical data sets in relation to their context.(M.06.D-S.1.1)

Units

Unit #1 - M4: Expressions and Equations

Unit #2 - M2: Arithmetic Operations Including Division of Fractions

Unit #3 - M3: Rational Numbers

Unit #4 - M1: Ratios and Unit Rates

Unit #5 - M5: Area, Surface Area, and Volume Problems

Unit #6 - M6: Statistics

Course Resources

Eureka Teacher Manual
Student Eureka Packets
Linking cubes
Hands on Equations boxes
Meter sticks