6th Grade MathParent LetterChapter 3

There are two big ideas we will be focusing our instruction around in chapter 3: First, understanding relationships between fractions, decimals, and percentages; and second, understanding the fundamentals of positive and negative numbers, integers. Our goal is to keep a balance of skill based learning along with enhancing our student’s ability to problem solve and think conceptually.

Review Material from Prior Grades
5.NBT.B.5 5.OA.A.2
Fluently multiply multi-digit numbers. Write simple expressions.
5.NBT.B.6 5.G.A.1
Find whole number quotients, (4-digit by 2-digit) Define the coordinate system.
5.NBT.B.7 5.G.A.2
Operations with decimals. Graphing in the first quadrant.
5.NF.B.5 4.OA.B.4
Interpreting multiplication as scaling. Factors and multiples.
New Material for 6th Grade
6.RP.1
Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. For example, "The ratio of wings to beaks in the bird house at the zoo was 2:1, because for every 2 wings there was 1 beak." "For every vote candidate A received, candidate C received nearly three votes."
6.RP.3c
Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.
6.NS.3
Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.
6.NS.4
Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1-100 with a common factor as a multiple of a sum of two whole numbers with no common factor. For example, express 36 + 8 as 4 (9 + 2).
6.NS.5
Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below zero, elevation above/below sea level, credits/debits, positive/negative electric charge); use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation.
6.NS.6
Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates.
6.NS.7
Understand ordering and absolute value of rational numbers.
6.NS.8
Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate.
6.G.3
Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems.
End of Chapter Expectations
1)Skills assessment will cover all of the material from prior grades.
2)Quiz on the new material as it relates to conceptual understanding.
3)Performance-Based Assessment where students will work through a situational problem using the skills taught throughout the chapter.
4)Chapter assessment will cover the following skills:*
  • Finding the least common multiple of two numbers
  • Writing expressions given situations
  • Writing numbers as equivalent fractions, decimals, and percentages.
  • Comparing positive and negative numbers with inequality symbols.
  • Representing integer operations on a number line.
  • Determining the absolute value of any given number.
  • Plotting points on a coordinate grid.
  • Division of whole numbers
  • Add, subtract, multiply, and divide decimals

*Please note the list above highlights the main skills to be assessed. Teachers may include additional content to meet the needs of their students.