CGSI 6th Grade Math Info Slide

Learning Outcomes Curriculum Map Teacher Bio

CGSI 6th Grade Math Learning Outcomes

Unit 1 - Let's Party_NS 1. I can use a model to show division of fractions. 2. I can use my understanding of multiplication of fractions to explain division of

fractions.

3. I can divide fractions to find the quotient.

4. I can interpret the meaning of the quotient.

5. I can solve word problems using division of fractions.

6. I can write an equation to solve a problem using division of fractions.

7. I can divide multi-digit numbers using the standard algorithm

8. I can perform the four basic operations with decimals

9. I can find the greatest common factor (GCF) of two whole numbers less than or equal to 100.

10. I can find the least common multiple (LCM) of two whole numbers less than or equal to 12.

Unit 2 - Give Me Shelter_RP 1. Use ratio language to describe the relationship between two quantities

2. Describe a unit rate in words

3. Write a unit rate in and a:b form

4. Represent ratios in a table

5. Use a table, tape diagram, and double number line to reason about equivalent ratios

6. Use an equation to reason about equivalent ratios

7. Solve problems that include unit rate, including unit pricing, and unit speed

8. I can find the part, whole, and percent given two of the three components

9. Convert from one unit of measurement to another

Unit 3 - Road Trip_NS 1. I can explain examples of positive and negative numbers in the real world

2. I can identify numbers with opposite direction and values 3. I can use a number line to illustrate that numbers with opposite signs are the

same distance from zero

4. I can the quadrant in which a ordered pair is located

5. I can represent rational numbers on a number line

6. I can represent rational numbers on a coordinate plane

7. I can arrange a set of rational numbers in ascending or descending order

8. I can compare rational numbers using greater than, less than, or equal signs

9. I can find the absolute value of a rational number

10. I can use a numberline or diagram to validate an inequality statement 11. I can write, interpret and explain real world examples of ordering rational

numbers 12. I can explain the definition of absolute value as a distance from zero and a

measure of magnitude

13. I can tell the difference between absolute value and statements about order.

14. I can graph points on the coordinate plane

15. Plot pairs of values in a table on a coordinate plane 16. I can use a coordinate plan to find the distance between points with the same

first or same second coordinate.

Unit 4 - A Day in the Life of X_EE 1. I can write and evaluate numerical expressions involving whole-number

exponents.

2. I can identify parts of an expression using mathematical vocabulary

3. I can write an expression with operations of numbers and variables

4. I can evaluate expressions using the Order of Operations

5. I can simplify expressions when a value is given for a variable

6. I can use formulas to solve real-world problems.

7. I can apply the properties of operations to generate equivalent expressions 8. I can determine if two expressions are equivalent using the distributive property,

factoring, or substitution

9. I can explain if a value from a set makes an inequality or equation true/false.

10. I can write expressions to solve a real-world or mathematical problem 11. I can solve real-world and mathematical problems by writing and solving

equations 12. I can write an inequality about a real-world situation and recognize that it has

infinite solutions.

13. I can graph that inequality on a number line.

Unit 5 - Dream Town_G 1. I can find the area of rectangles and parallelograms

2. I can find the area of right triangles and other triangles

3. I can put compose and decompose polygons to find area 4. I can apply what I know about taking apart and putting together shapes to find

the area in real world situations

5. I can make a line plot to display data sets of measurements in fractions. 6. I can use unit cubes to find the volume of a right rectangular prism and I

understand that the mathematical formula (V = l w h or V = b h) will give me the same result.

7. I can use the mathematical formulas V=l w h or V= b h to determine the volume of real world objects.

8. I can use the coordinates of the vertices of a polygon on the coordinate plane to find the length of a side, joining points with the same first coordinate or the same second coordinate.

9. I can apply what I have learned about polygons on coordinate planes to real world and mathematical situations.

10. I can count the number of faces that three dimensional figures have 11. I can show how three dimensional figures can be made using two dimensional

nets. (A net is the pattern made when the surface of a three dimensional figure is laid out flat).

12. I can figure out the surface area of a three dimensional shape by using a net.

Unit 6 - NBA Statistical Analysis_SP 1. Recognize the difference between a statistical and a non-statistical question 2. I can describe the distribution of a set of data by correctly using the terms

variability, center, cluster, and outlier

3. I can find and describe measures of central tendency (mean, median, mode)

4. I can make and interpret a dot plot

5. I can make and interpret a histogram

6. I can make and interpret a box plot

7. I can find the number of observations in a set of data

8. I can find apply the mean standard deviation (MAD) to explain how a data set values

9. I can find the interquartile range (IQR)

10. I can use the IQR to describe the distribution of a set of data 11. I can choose an appropriate measure of center and variability and explain why

my measurement is most appropriate

6th Grade Math CGSI Curriculum Map Eulau and Schild

Unit Timeframe Essential

Question Common Core

Standards Concepts/Strategies to be Understood Major

Projects/Labs (Common Core)

Formative and Summative Assessments

1 Four

Operations

w ith integers,

decimals,

and fractions

September -

October (3

w eeks)

How do w e use the

four operations w ith

integers, decimals,

and fractions to plan

a class party?

6.NS.1, 6.NS.2

6.NS.3, 6.NS.4 6.NS.1 Use a model to show division of fractions. Use my understanding of multiplication of

fractions to explain division of fractions. Divide fractions to find the quotient. Interpret the meaning of the quotient. Solve word problems using division of

Let’s Party * Pre-Assessment *Entry Slips *Exit slips *Quizzes * Unit Test *Teacher Observations *HW

fractions. Write an equation to solve a problem using

division of fractions. Write a story problem that will use division

of fractions. 6.NS.2 Divide multi-digit numbers using the

standard algorithm. 6.NS.3 Add multi-digit decimals using the standard

algorithm. Subtract multi-digit decimals using the

standard algorithm. Multiply multi-digit decimals using the

standard algorithm. Divide multi-digit decimals using the

standard algorithm. 6.NS.4 Find the greatest common factor (GCF) of

two whole numbers less than or equal to

100. Find the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a

sum of two numbers with a common factor

as a multiple of a sum of two whole

numbers with no common factor.

PBL

*budget spreadsheet,

*written description of

party and events,

*menu, *oral presentation.

2 Ratios

and

Proportions

October/Nove

mber (6

w eeks)

How do we use

rational numbers

to express

relationships

between

quantities in order

to create an

6.RP.1 6.RP.2 6.RP.3a 6.RP.3b 6.RP.3c 6.RP.3d

6.RP.1 Use ratio language to describe the

relationship between two quantities. Write a ratio to describe the relationship

between two quantities. Write a ratio using three different formats. 6.RP.2

Give Me Shelter * Pre-Assessment *Entry Slips *Exit slips *Quizzes * Unit Test *Teacher Observations *HW

emergency

shelter? Describe a unit rate in words. Write a unit rate in a/b and a:b form. 6.RP.3a Use a table to find equivalent ratios. Find missing values in equivalent ratio

tables. Plot the pairs of values in a table on a

coordinate plane. Use a table to reason about equivalent

ratios. Use a tape diagram to reason about

equivalent ratios. Use a double number line diagram to

reason about equivalent ratios. Use an equation to reason about equivalent

Ratios 6.RP.3b Solve unit rate problems with unit pricing. Solve unit rate problems with constant

speed. 6.RP.3c Understand percent means hundredths. Find a percent of a quantity. Find the whole, given a part and a percent. 6.RP.3d Convert measurement units using ratio

reasoning. Transform unit s to solve problems

*Common Core Tasks

PBL *Project plan *Budget

3 Number

Sense November/De

cember/ (3

w eeks)

How can we

represent and

compare rational

numbers to plan a

family vacation?

6.NS.5 6.NS.6a 6.NS.6b 6.NS.6c 6.NS.7a 6.NS.7b

6.NS.5 Name real world places for using positive

and negative numbers. Understand that positive and negative

numbers are used together to describe

quantities having opposite directions or

* Pre-Assessment *Entry Slips *Exit slips *Quizzes * Unit Test *Teacher Observations

6.NS.7c 6.NS.7d 6.NS.8

values on a number line. 6.NS.6a Recognize zero as the origin on the number

line. Understand the sign of a number indicates

its place on the number line from zero. Recognize that the opposite of an opposite

of a number is the number itself. –(-3) = 3 Understand that 0 is its own opposite. 6.NS.6b Know that the signs of numbers in ordered

pairs tell the location of the point in a

quadrant on the coordinate plane. Recognize that if two ordered pairs only

differ by the signs, the points are reflections

across one or both axes. 6.NS.6c Place integers and other rational numbers in

the correct locations on a number line. Plot ordered pairs on a coordinate plane in

all four quadrants. 6.NS.7a Interpret statements of inequality and

recognize the placement of the integers on

the number line. 6.NS.7b Write statements of inequality about

integers on a number line. Explain statements of order for rational

numbers in a real world situation. 6.NS.7c Understand absolute value of a rational

number as the distance from 0 on the

number line. Interpret absolute value as the magnitude of

*HW *Common Core Tasks

PBL *Map *Brochure *Presentation *Budget

the number from 0 in a real world situation. 6.NS.7d Order and compare the absolute values of

rational numbers. 6.NS.8 Use coordinates and absolute values to find

distances between points.

4.1

Expressions

and

Equations

Part 1

January/Febr

uary (3

w eeks)

6 w eeks total

How does the

language of

algebra work? What is an

expression?

Sub-questions: What is a

variable?

How can we

identify and

create equivalent

expressions?

6.EE.1 6.EE.2a 6.EE.2b 6.EE.2c 6.EE.3 6.EE.4

6.EE.1 Write an expression using whole-number

exponents. Evaluate expressions using whole-number

exponents. 6.EE.2a Write expressions with variables. Read expressions with variables 6.EE.2b Identify the parts of an expression using

sum, term, product, factor, quotient, and

coefficient. Understand parts of an expression can have

more than one name. 6.EE.2c Evaluate expressions using specific values

for variables. Use formulas to solve real-world problems.

Evaluate expressions using the Order of

Operations. 6.EE.3 Apply the properties of operations to find

equivalent expressions. 6.EE.4 Combine like terms to find equivalent

expressions.

Equations /

Expressions

Textbook Chapter

* Pre-Assessment *Entry Slips *Exit slips *Quizzes * Unit Test *Teacher Observations *HW *Common Core Tasks

PBL *Textbook entries

Identify if and when two expressions are

equivalent.

4.2

Expressions

and

Equations

Part 2

February (3

w eeks) What is an

equation?

How can we

represent single

variable

equations?

What strategies

deliver solutions

to single variable

equation

problems?

6.EE.5 6.EE.6 6.EE.7 6.EE.8 6.EE.9

6.EE.5 Determine which values make an equation

true. Determine which values make an inequality

true. Use substitution to decide if a number

makes an equation true. Use substitution to decide if a number

makes an inequality true. 6.EE.6 Use variables to represent numbers. Write expressions for real-world and

mathematical problems. Understand that a variable can represent

one number or a set of numbers. 6.EE.7 Solve real-world and mathematical

problems by writing and solving equations. 6.EE.8 Write an inequality to represent a set of

solutions for real-world and mathematical problems. Recognize that inequalities of the form x > c

and x < c have an infinite number of

solutions. Graph solutions to inequalities on a number

line. 6.EE.9 Use variables to represent two quantities

that change in relationship to one another. Write an equation to describe one quantity

Equations /

Expressions

Textbook Chapter

* Pre-Assessment *Entry Slips *Exit slips *Quizzes * Unit Test *Teacher Observations *HW *Common Core Tasks * PBL

in terms of the other quantity. Write an equation to describe how the

dependent variable changes in terms of the

independent variable. Analyze how dependent variables change in

a table. Analyze how dependent variables change in

a graph. Understand that a graph, table and an

equation can all represent the same real-

world problem.

5.1 2D

Geometry February -

March (1.5

weeks)

3 weeks

total

How do we

analyze the

essential

characteristics of

polygons?

6.G.1 6.G.3

6.G.1 Find the area of right triangles and other

triangles. Find the area of quadrilaterals and polygons

by composing into rectangles or

decomposing into triangles and other

shapes. *Find the area of polygons in real-world and

mathematical problems. 6.G.3 Draw polygons in the coordinate plane with

given vertices. Find the length of a side of a polygon when

the endpoints of the side have either the

same first coordinate or the same second

coordinate. Apply the techniques of finding polygon side

lengths in real-world and mathematical

problems.

Dream Town * Pre-Assessment *Entry Slips *Exit slips *Quizzes * Unit Test *Teacher Observations *HW *Common Core Tasks * PBL

5.2 3D

Geometry March (1.5

weeks) How do we

analyze the

essential

6.G.2 6.G.4

6.G.2 Find the volume of right rectangular prisms

in

Dream Town * Pre-Assessment *Entry Slips *Exit slips

characteristics of

3D solids? mathematical problems. Use the formulas V = lwh and V = bh to find

the volume of right rectangular prisms. Find the volume of right rectangular prisms

in real-world problems. 6.G.4 Represent 3-D figures using nets made up

of rectangles and triangles. Use nets to find the surface area of 3-D

figures composed of rectangles and

triangles. Apply the surface area techniques of 3-D

figures composed of rectangles and triangles in real

world and mathematical problems.

*Quizzes * Unit Test *Teacher Observations *HW *Common Core Tasks

PBL *Building proposal *Town layout proposal

Test Prep March/April (3.5 weeks)

RP, NS, EE, G

State Test Math April

22 - 24

ELA April 14 - 16

6 Statistics

and

Probability

May/June (6 weeks)

How do we

collect, organize,

and display

experimental

data?

6.SP.1 6.SP.2 6.SP.3 6.SP.4 6.SP.5a 6.SP.5b 6.SP.5c 6.SP.5d

6.SP.1 Recognize the difference between a

statistical and a non-statistical question. Recognize that a statistical question will

have variability in answers. 6.SP.2 Find the center of a set of data. Describe a set of data by its spread and

overall shape.

NBA Statistical

Analysis * Pre-Assessment *Entry Slips *Exit slips *Quizzes * Unit Test *Teacher Observations *HW *Common Core Tasks

PBL

6.SP.3 Know that mean is a single number that is a

measure of center and it summarizes all

values in a set of data. Know that median is a single number that is

a measure of center and it summarizes all

values in a set of data. Know that range is a single number that is a

measure of variation and it describes how

values vary in the set of data. 6.SP.4 Display numerical data on a dot plot. Display numerical data on a histogram. Display numerical data on a box plot. 6.SP.5a Report the number of observations in a data

set 6.SP.5b Analyze a data set and describe what

attribute is being measured, how it was measured, and

its units of measure. 6.SP.5c Find the median of a set of data on a graph. Find the mean of a set of data. Find the inter-quartile range of a set of data

on a graph. Find the mean absolute deviation of a set of

data. Describe overall patterns and striking

deviations in a set of data on a graph. 6.SP.5d Understand that data can be affected by the

context in which it was gathered.

*Analysis Portfolio *Interview/Youtube video

Kurt Eulau

Bio: Mr. Eulau was born and raised in Southern California. He graduated cum laude from the University of California, Berkeley with a B.A. in Political Economy and a B.S. in Environmental Economics and Policy. Soon after completing his undergraduate degrees, Mr. Eulau served in the Peace Corps in Cambodia from 2010 – 2012. While in Cambodia, he worked with a non-profit organization to support rural schools near his village. Mr. Eulau began working for the Department of Education of as a New York City Teaching Fellow, and is working towards a M.A.T. in Adolescent Education. He currently co-teaches 6th grade math with Ms. Schild, facilitates Chess Club and Video Game Club, and enjoys chess, video games, running, biking, climbing, and ultimate frisbee. Contact Mr. Eulau at keulau@ms442.org or via Engradepro.com