5/11/20
Hope everyone is healthy.  Please see the email for this week's lesson. Have a great week.

5/4/20
Greetings! Please see the email I sent today for this week's lesson and activity!  Have a great week.

4/27/20
Hello!  Please see the email I sent to parents and students via your Prince William County email for this weeks lesson and activity.  Stay safe!

4/20/20
Hello!  Hope everyone is healthy and happy.  Please go to the "Homework" section of my teacher page for this week's review lesson and activity.

4/1/2020
Greetings!
I hope that everyone is safe. 
The week before we were dismissed from school our grade 6 class finished solving one step equations and began studying inequalities.  The "Homework" section of this teacher page has an inequalities lesson, and some worksheets with answer keys for equations and inequalities.    Please know that I am not requiring anything from your son or daughter at this time, however if interested, these are activities that you could do at home.

I have also sent this via your email address. 

3/23/2020
****  Optional, non-graded review worksheets with answer keys have been sent to your email address.  Also available:  IXL highlighted (in yellow) assignments.  If your student needs their username or password, please email me at learyam@pwcs.
edu.


Learning Objectives covered September 2019 – March 2020

September 2019 *6.1 Represent a relationship between two quantities using ratios.

· Represent a relationship in words that makes a comparison by using the notations 𝑎/𝑏, a:b, and a to b.

· Create a relationship in words for a given ratio expressed symbolically.

· Make a table of equivalent ratios to represent a proportional relationship between two quantities, when given a ratio. (a)

September – October 2019 *6.12 Make a table of equivalent ratios to represent a proportional relationship between two quantities, when given a practical situation. (a)

Identify the unit rate of a proportional relationship represented by a table of values or a verbal description, including those represented in a practical situation. Unit rates are limited to positive values. (b)

· Determine a missing value in a ratio table that represents a proportional relationship between two quantities using a unit rate. Unit rates are limited to positive values. (b)

· Determine whether a proportional relationship exists between two quantities, when given a table of values or a verbal description, including those represented in a practical situation. Unit rates are limited to positive values. (c)

· Determine whether a proportional relationship exists between two quantities given a graph of ordered pairs. Unit rates are limited to positive values. (c)

· Make connections between and among multiple representations of the same proportional relationship using verbal descriptions, ratio tables, and graphs. Unit rates are limited to positive values. (d)

September – October 2019 *6.2 Represent ratios as fractions (proper or improper), mixed numbers, decimals, and/or percents. (a)

· Determine the decimal and percent equivalents for numbers written in fraction form (proper or improper) or as a mixed number, including repeating decimals. (a)

· Represent and determine equivalencies among decimals, percents, fractions (proper or improper), and mixed numbers that have denominators that are 12 or less or factors of 100. (a)

· Compare two percents using pictorial representations and symbols (<, ≤, ≥, >, =). (b)

· Order no more than four positive rational numbers expressed as fractions (proper or improper), mixed numbers, decimals, and percents (decimals through thousandths, fractions with denominators of 12 or less or factors of 100). Ordering may be in ascending or descending order. (b)

November – December 2019 *6.4 Recognize and represent patterns with bases and exponents that are whole numbers.

· Recognize and represent patterns of perfect squares not to exceed 202, by using grid paper, square tiles, tables, and calculators.

· Recognize powers of 10 with whole number exponents by examining patterns in place value.

November – December 2019 *6.3 Model integers, including models derived from practical situations. (a) · Identify an integer represented by a point on a number line. (a) · Compare and order integers using a number line. (b) · Compare integers, using mathematical symbols (<,≤,>,≥,=). (b) · Identify and describe the absolute value of an integer. (c)

December 2019 *6.6 Model addition, subtraction, multiplication and division of integers using pictorial representations or concrete manipulatives. (a) · Add, subtract, multiply, and divide two integers. (a) · Solve practical problems involving addition, subtraction, multiplication, and division with integers. (b) · Use the order of operations and apply the properties of real numbers to simplify numerical expressions involving more than two integers. Expressions should not include braces { } or brackets [ ], but may contain absolute value bars ||. Simplification will be limited to three operations, which may include simplifying a whole number raised to an exponent of 1, 2 or 3. (c)

January – February 2020 *6.5 Demonstrate/model multiplication and division of fractions (proper or improper) and mixed numbers using multiple representations. (a)

· Multiply and divide fractions (proper or improper) and mixed numbers. Answers are expressed in simplest form. (a)

· Solve single-step and multistep practical problems that involve addition and subtraction with fractions (proper or improper) and mixed numbers, with and without regrouping, that include like and unlike denominators of 12 or less. Answers are expressed in simplest form. (b)

· Solve single-step and multistep practical problems that involve multiplication and division with fractions (proper or improper) and mixed numbers that include denominators of 12 or less. Answers are expressed in simplest form. (b)

· Solve multistep practical problems involving addition, subtraction, multiplication and division with decimals. Divisors are limited to a three-digit number, with decimal divisors limited to hundredths. (c)

February – March 2020 *6.13 Identify examples of the following algebraic vocabulary: equation, variable, expression, term, and coefficient.

· Represent and solve one-step linear equations in one variable, using a variety of concrete materials such as colored chips, algebra tiles, or weights on a balance scale.

· Apply properties of real numbers and properties of equality to solve a one-step equation in one variable. Coefficients are limited to integers and unit fractions. Numeric terms are limited to integers.

· Confirm solutions to one-step linear equations in one variable.

· Write verbal expressions and sentences as algebraic expressions and equations.

· Write algebraic expressions and equations as verbal expressions and sentences.

· Represent and solve a practical problem with a one-step linear equation in one variable.

March 2020 *6.14 Given a verbal description, represent a practical situation with a one-variable inequality (a)