## Grade 6 Curriculum

In 2018-2019, the Driscoll school will be piloting a new 6th grade curriculum. In connection with a broader district-wide pilot, we will use Illustrative Math from Open Up Resources, a free and highly regarded curriculum aligned with the Massachusetts Curriculum Framework.

You can explore the actual curriculum here.

You may also want to explore their materials intended for families that explain the underlying pedagogical decisions and rationale.

To learn more about the curriculum, you can subscribe to the Illustrative Math blog here.

You can explore the actual curriculum here.

You may also want to explore their materials intended for families that explain the underlying pedagogical decisions and rationale.

To learn more about the curriculum, you can subscribe to the Illustrative Math blog here.

## Curriculum in a nutshell

Unit 1: Area and Surface Area

Unit 1a: Number theory - a supplemental unit on factors, multiples, primes, etc that is not part of the Illustrative Math curriculum

Unit 2: Introduction to Ratios

Unit 3:Unit Rates and Percentages

Unit 4: Dividing Fractions

Unit 5: Arithmetic in Base Ten (decimal operations)

Unit 6: Expressions and Equations

Unit 7: Rational Numbers (interpreting positive and negative numbers)

Unit 8: Data Sets and Distributions

Unit 9: Pulling it all together (problem solving)

Unit 1a: Number theory - a supplemental unit on factors, multiples, primes, etc that is not part of the Illustrative Math curriculum

Unit 2: Introduction to Ratios

Unit 3:Unit Rates and Percentages

Unit 4: Dividing Fractions

Unit 5: Arithmetic in Base Ten (decimal operations)

Unit 6: Expressions and Equations

Unit 7: Rational Numbers (interpreting positive and negative numbers)

Unit 8: Data Sets and Distributions

Unit 9: Pulling it all together (problem solving)

## Skills and Concepts From Grade 5

To start the year, there are certain skills and concepts that you should have mastered in fifth grade.

Among other skills, you should be able to:

Among other skills, you should be able to:

- Add and subtract whole numbers
- Multiply whole numbers using any method, including the "traditional" algorithm
- Divide whole numbers using any method (if you haven't learned it yet, you will learn long division in sixth grade)
- Automatically recall addition, subtraction, multiplication, and division facts (1-12).
- Find factors and multiples, and prime factorization
- Compare and order fractions and decimals
- Make equivalent fractions, and simplify fractions
- Add and subtract fractions, mixed numbers and decimals
- Multiply fractions.

## learning goals for Grade 6

**Unit 1: AREA AND SURFACE AREA**

A1. I can use different reasoning strategies to find the area of shapes (decomposing, decomposing and rearranging, and subtracting).

A2. I can use what I know about the area of a rectangle to find the area of a parallelogram.

A3. I know how to describe the features of a parallelogram using mathematical vocabulary.

A4. I can identify pairs of base and height of a parallelogram.

A5. I can use and explain the formula for the area of a parallelogram.

A6. I can explain the special relationship between a pair of identical triangles and a parallelogram.

A7. I can use what I know about parallelograms to reason about the area of triangles.

A8. I can use and explain the formula to find the area of any triangle.

A9. I can identify pairs of base and corresponding height of any triangle.

A10. I can reason about the area of any polygon by decomposing and rearranging it, and by using what I know about rectangles and triangles.

A11. I can describe the characteristics of a polygon using mathematical vocabulary.

A12. I know what the surface area of a three-dimensional object means.

A13. I can describe the features of a polyhedron using mathematical vocabulary.

A14. I can explain the difference between prisms and pyramids.

A15. I can match polyhedra to their nets and explain how I know.

A16. I can draw the nets of prisms and pyramids.

A17. I can calculate the surface area of prisms and pyramids.

A18. I know how one-, two-, and three-dimensional measurements and units are different.

A19. I can explain how it is possible for two polyhedra to have the same surface area but different volumes, or to have different surface areas but the same volume.

A20. I can write and explain the formula for the volume of a cube, including the meaning of the exponent.

A21. When I know the edge length of a cube, I can find the volume and express it using appropriate units.

A22. I can write and explain the formula for the surface area of a cube.

A23. When I know the edge length of a cube, I can find its surface area and express it using appropriate units.

A24. I can use surface area to reason about real-world objects.

A25. I can apply what I know about the area of polygons to find the surface area of three- dimensional objects.

**Unit 1A: NUMBER THEORY**

NT1. I can list multiples.

NT2. I can find ALL the factors of a number.

NT3. I can understand and use squares, square roots, and exponents.

NT4. I can recognize prime numbers (between 1-100).

NT5. I can use divisibility rules.

NT6. I can determine whether or not a number greater than 100 is prime.

NT7. I can find the prime factorization of a number (up to 1000).

NT8: I can use prime factorization to find squares and square roots.

NT9. I can use factorization for determining divisibility.

NT10. I can find GCF using prime factorization.

NT11. I can find LCM using prime factorization.

NT12. I can problem solving in number theory.

NT13. I can understand and apply the concept of relatively prime numbers.

NT14. I can solve number theory problems (advanced).