6th Grade, Part C, Creative, Interactive Elementary Math...Together, We Can Do This!

This 6th grade math course will benefit homeschoolers and students in public or private school settings when they partner with me, their math specialist, for learning, weekly support and success!

This class is EXPRESSIONS AND EQUATIONS, Part C.  It can function as a stand-alone class, or as part of series that is listed by "Math You Can Do" that encompasses a full school year of math curriculum for 6th graders.  Students needing remediation, on grade level practice, or above grade level challenge will also benefit from the material that is taught in these small classes. This course, EXPRESSIONS EQUATIONS, PART C, is one section in a series of courses that cover 5 strands of mathematics necessary for students in grade 6th.  This course will help students continue to build their number sense, skill, confidence and computational efficiency, as well as develop understanding of the pre-algebra skills of solving expressions and equations. This course can also be offered as private tutoring.  Private tutoring fees would apply. This is Math You Can Do by Michael Thurman.

What will be Taught

Expressions and Equations

Week 1
6.EE Expressions and Equations
Apply and extend previous understandings of arithmetic to algebraic expressions.

6.EE.1 The student will write and evaluate numerical expressions involving whole-number exponents.

Homework:
Write multiplication expressions using exponents (6-D.1)
Evaluate exponents (6-D.2)
Write powers of ten with exponents (6-D.3)
Find the missing exponent or base (6-D.4)
Exponents with decimal bases (6-D.5)
Exponents with fractional bases (6-D.6)
6.EE.2 Write, read and evaluate expressions in which letters stand for numbers.

Week 2
6.EE.2.a The student will write expressions that record operations with numbers and with letters standing for numbers. For example,

Homework:
Write variable expressions: one operation (6-Y.1)
Write variable expressions: two operations (6-Y.2)

6.EE.2.b Identify parts of an expression using mathematical terms (sums, term, product, factor, quotient, coefficient); view one or more parts of an expression in a single entity. For example,

Homework:
Identify terms and coefficients (6-Y.8)
Sort factors of variable expressions (6-Y.9)


6.EE.2.c The student will evaluate expressions for specific values of their variables, including values that are non-negative rational numbers. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations). For example,

Homework:
Evaluate numerical expressions involving whole numbers (6-O.4)
Evaluate numerical expressions involving decimals (6-O.8)

Week 3
(Continued from the previous week) 6.EE.2.c The student will evaluate expressions for specific values of their variables, including values that are non-negative rational numbers. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations). For example,

Homework:
Evaluate numerical expressions involving fractions (6-O.11)
Convert between Celsius and Fahrenheit (6-T.10)
Evaluate variable expressions with whole numbers (6-Y.4)
Evaluate multi-variable expressions (6-Y.5)
Evaluate variable expressions with decimals, fractions, and mixed numbers (6-Y.6)

Week 4
6.EE.3 Apply the properties of operations to generate equivalent expressions.

Homework:
Multiply using the distributive property: area models (6-Y.13)
Multiply using the distributive property (6-Y.14)
Factor using the distributive property (6-Y.15)
Write equivalent expressions using properties (6-Y.17)

Week 5
6.EE.4 The student will identify when two expressions are equivalent when the two expressions name the same number regardless of which value is substituted into them.

Homework:
Identify equivalent expressions I (6-Y.19)
Identify equivalent expressions II (6-Y.20)

and

Reason about and solve one-variable equation and inequalities.
6.EE.5 The student will 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.

Homework:
Does x satisfy an equation? (6-Z.1)
Which x satisfies an equation? (6-Z.2)
Solutions to inequalities (6-AA.1)

Week 6
6.EE.6 The student will use variables to represent numbers and write expressions when solving a real-world 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.

Homework:
Write variable expressions: word problems (6-Y.3)

and

6.EE.7 The student will 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.

Homework:
Model and solve equations using algebra tiles (6-Z.5)
Write and solve equations that represent diagrams (6-Z.6)
Solve one-step addition and subtraction equations with whole numbers (6-Z.7)
Solve one-step multiplication and division equations with whole numbers (6-Z.8)
Solve one-step equations with whole numbers (6-Z.9)

Week 7
(Continued from the previous week) 6.EE.7 The student will 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.

Homework:
Solve one-step multiplication and division equations with decimals and fractions (6-Z.11)
Solve one-step equations: word problems (6-Z.15)

and

6.EE.8 Write an inequality of the form x > c, x < c, x ≥ c, or x ≤ c to represent a constraint or condition in a real-world or mathematical problem. The student will recognize that inequalities of these forms have infinitely many solutions; represent solutions of such inequalities on vertical and horizontal number lines.

Graph inequalities on number lines (6-AA.2)
Write inequalities from number lines (6-AA.3)

Week 8
Represent and analyze quantitative relationships between dependent and independent variables.

6.EE.9 The student will use variables to represent two quantities in a real-world problem that changes in relationship to one another;
6.EE.9.a The student will appropriately recognize one quantity as the dependent variable and the other as the independent variable.

Homework:
Identify independent and dependent variables: word problems (6-BB.4)

and

6.EE.9.b Write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable.

Homework:
Write an equation from a graph using a table (6-BB.3)
Solve word problems by finding two-variable equations (6-BB.7)
Write a two-variable equation (6-BB.10)

Week 9
6.EE.9.c The student will analyze the relationship between the dependent and independent variables using graphs and tables and relate these to the question.

Homework:
Find a value using two-variable equations (6-BB.5)
Find a value using two-variable equations: word problems (6-BB.6)
Complete a table for a two-variable relationship (6-BB.8)
Identify the graph of an equation (6-BB.11)
Graph a two-variable equation (6-BB.13)
Interpret a graph: word problems (6-BB.14)