On Unit 4 Packet Cover PDF

6th Grade Math Unit 4-Equations
Name: _________________________
Period: ___________
Day 1 Day 2 Day 3
• Focus: Equations (adding • Focus: Equations
and subtracting) • Focus: Equations (adding (multiplying and
and subtracting) dividing)
Day 4 Day 5 Day 6

• Focus: Practice • Focus: Functions (Input/
• Focus: Writing and
Day/Catch up Output Tables)
solving equations
Day 7 Day 8 Day 9

• Focus: Functions (writing • Focus: Equations • Focus: Quiz: Equations
rule from table and Practice and Functions and Functions
graphing) Practice
Day 10 Day 11 Day 12

• Focus: Inequalities (signs • Focus: One Step • Focus: Inequalities
and graphing) Inequalities (Solving and (writing from scenarios)
• Graphing)
Day 13 Day 14 Day 15

• Focus: Inequalities • Focus: Study Guide
Practice • Focus: Review Day
Day 16 Topics on test Topics on Test

• Focus: Test • One-step Equations • Writing & Graphing
• Function Tables Inequalities
• Independent & • One-Step inequalities
Dependent Variables
*If Lost, Please Return to: Ms. Kandler (Room-F109)

Standards:
MGSE6.EE.5 Understand solving an equation or inequality as a process of answering a question: which values from a
specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a
specified set makes an equation or inequality true.
MGSE6.EE.6 Use variables to represent numbers and write expressions when solving a realworld or mathematical
problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any
number in a specified set.
MGSE.6.EE.7 Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px
= q for cases in which p, q and x are all nonnegative rational numbers.
MGSE.6.EE.8 Write an inequality of the form x < c or x > c to represent a constraint or condition in a real-world or
mathematical problem. Recognize that inequalities of the form x < c or x < c have infinitely many solutions; represent
solutions of such inequalities on number line diagrams.
MGSE6.EE.9 Use variables to represent two quantities in a real-world problem that change in relationship to one
another. a. Write an equation to express one quantity, the dependent variable, in terms of the other quantity, the
independent variable. b. Analyze the relationship between the dependent and independent variables using graphs and
tables, and relate these to the equation. For example, in a problem involving motion at constant speed, list and graph
ordered pairs of distances and times, and write the equation 𝑑 = 65𝑡 to represent the relationship between distance and
time.
Essential Questions:
• How is an equation like a balance? How can the idea of balance help me solve an equation?
• What strategies can I use to help me understand and represent real situations using proportions, equations and
inequalities?
• How can I write, interpret and manipulate proportions, equations, and inequalities?
• How can I solve a proportion and an equation?
• How can I tell the difference between an expression, equation and an inequality?
• How are the solutions of equations and inequalities different?
• What does an equal sign mean mathematically?
• How can proportions be used to solve problems?
• How can proportional relationships be described using the equation y = kx?
• How can proportional relationships be represented using rules, tables, and graphs?
• How can the graph of y = kx be interpreted for different contexts?
• How does a change in one variable affect the other variable in a given situation?
• Which tells me more about the relationship I am investigating, a table, a graph or a formula?
Vocabulary Words:
• Addition Property of Equality: Adding the same number to each side of an equation produces an equivalent
expression.
• Constant of proportionality: The constant value of the ratio of two proportional quantities x and y; usually written y =
kx, where k is the constant of proportionality. In a proportional relationship, y = kx, k is the constant of proportionality,
which is the value of the ratio between y and x.
• Dependent variable- A variable that depends on other factors. For example, a test score could be a dependent variable
because it could change depending on several factors such as how much you studied, how much sleep you got the night
before you took the test, or even how hungry you were when you took it.
• Direct Proportion (Direct Variation): The relation between two quantities whose ratio remains constant. When one
variable increases the other increases proportionally: When one variable doubles the other doubles, when one variable
triples the other triples, and so on. When A changes by some factor, then B changes by the same factor: A=kB, where k is
the constant of proportionality.
• Division Property of Equality: States that when both sides of an equation are divided by the same number, the
remaining expressions are still equal
• Equation: A mathematical sentence that contains an equal sign
• Independent variable: A variable that stands alone and isn't changed by the other variables you are trying to measure.
For example, someone's age might be an independent variable.
• Inequality: A mathematical sentence that contains the symbols >, <, ≥, or ≤.
• Inverse Operation: A mathematical process that combines two or more numbers such that its product or sum equals
the identity.
• Multiplication Property of Equality: States that when both sides of an equation are multiplied by the same number, the
remaining expressions are still equal.
• Proportion: An equation which states that two ratios are equal.
• Solution: the set of all values which, when substituted for unknowns, make an equation true.
• Substitution: the process of replacing a variable in an expression with its actual value.
• Subtraction Property of Equality: States that when both sides of an equation have the same number subtracted from
them, the remaining expressions are still equal.
• Term: A number, a variable, or a product of numbers and variables.
• Variable: A letter or symbol used to represent a number or quantities that vary.

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6th Grade Math Unit 4-Equations

Day 4 Day 5 Day 6

Day 7 Day 8 Day 9

Day 10 Day 11 Day 12

Day 13 Day 14 Day 15

Day 16 Topics on test Topics on Test

*If Lost, Please Return to: Ms. Kandler (Room-F109)

• How can I solve a proportion and an equation?

• How are the solutions of equations and inequalities different?

• What does an equal sign mean mathematically?

• How can proportions be used to solve problems?

• How can proportional relationships be described using the equation y = kx?

• How can the graph of y = kx be interpreted for different contexts?

• Equation: A mathematical sentence that contains an equal sign

• Inequality: A mathematical sentence that contains the symbols >, <, ≥, or ≤.

• Proportion: An equation which states that two ratios are equal.

• Term: A number, a variable, or a product of numbers and variables.

• Variable: A letter or symbol used to represent a number or quantities that vary.

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