UNits of Study

In 6th grade, you will be using CMP3 which is directly aligned to the NYS common core. There are seven units that we will be covering with you throughout the school year.

Unit 1 Prime Time: Factors and Multiples - Study Guide: 1

Unit 2 Comparing Bits & Pieces: Ratios, Rational Numbers and Equivalence - Study Guide: 1 2 3 4

Unit 3 - Let’s be Rational: Understanding Fraction Operations - Study Guide: 1

Unit 4 - Covering and Surrounding: Two Dimensional Measurement - Study Guide: 1 2 3 4

Unit 5 - Variables and Patterns: Focus on Algebra - Study Guide: 1 2 3 4 5 6 7

State Examination - TBA

Unit 6 - Data about Us: Statistics and Data Analysis - Study Guide: 1 2 3

Prime Time

Did you know that any positive whole number can be broken down into a unique string of the product of prime numbers? In Unit 1, Prime Time, one of the topics we explore is prime factorization.

Can you find the longest string of prime numbers multiplied together that makes 7,007? If you can, then you have found its prime factorization.

Comparing Bits and Pieces

When things are equivalent they have the same (or “equal”) value. In Unit 2, Comparing Bits and Pieces, part of what we examine is this concept as it relates to fraction, decimals and percents.

ie. 1/2 = .5 = 50% 1/8 = ? = ?

Let’s be Rational

Sharing is caring and in Unit 3, Let’s Be Rational, we use brownie pan models in the exploration of operations with fractions and mixed numbers.

At an LMC bake sale there is 1 ⅔ trays of brownies left. Your child wants to buy ¼ of those brownies to share with friends. What fraction of the brownies will be left after your child’s purchase?

Covering and Surrounding

In Unit 4, Covering and Surrounding, we begin to look at Geometry, delving into area, perimeter, volume, surface area as well as 3-dimensional figures and their nets.

Determine the best net that can represent a triangular pyramid. Can you figure out its surface area?

Variables and Patterns

We need to know something about Algebra in order to look at, and make sense of, patterns and unknown quantities. So, something we might explore in Unit 5, Variables and Patterns, is

Anna recycles five more than two times the amount of bottles George does; how many bottles will Anna recycle, if George recycles seven bottles?
Can you write the algebraic expression to represent this real world scenario?

Data about Us

Information can be represented in many ways. During Unit 6, Data About Us, we investigate multiple ways of presenting data. For instance, using the set of data below:

11, 9, 10, 10, 10, 11, 12, 11, 10, 10, 11, 12, 10, 10, 11, 11, 12, Students’ ages (in years) of ½ our class
Can you build a frequency table?A line plot? Dot plot? How about a box-and-whisker plot?