Try the Free Math Solver or Scroll down to Tutorials!

 

 

 

 

 

 

 

 
 
 
 
 
 
 
 
 

 

 

 
 
 
 
 
 
 
 
 

Please use this form if you would like
to have this math solver on your website,
free of charge.


MATH 81 MASTERY GOALS

Topics & Sections of Text Details
Fraction and signed number
arithmetic


Main idea: Accurately and
efficiently compute with
fractions and signed numbers
mentally or by hand.

Relevant sections of text:
(1.3, 1.5 – 1.7)

Outcomes Assessed:
o Students will perform
arithmetic of rational
numbers (both with and
without a calculator).
The student should be able to:
• Explain what an individual fraction or integer means and provide
an example of where they’d encounter it.

• Add, subtract, multiply, and divide fractions with unlike
denominators, then simplify results.
o Advanced ability: do the same with mixed numbers

• Add, subtract, multiply, and divide one- and two-digit integers.
o Advanced ability: do the same with rational numbers, and
decimals to the tenths

 


 

Interpreting and creating
graphs


Main idea: Accurately and
efficiently interpret and create
graphs of data.

Relevant sections of text:

(3.1, 3.2, 3.3)

Outcomes Assessed:
o Developing Information
and Visual Literacy: The
ability to … comprehend,
translate between, and
reason fluently with
multiple representations of
the information.
o Communicate effectively.

 

 

 

 

The student should be able to:
• Interpret information given in a variety of forms: graphs, tables,
symbols, and words.

• Represent results in, and translate results between different forms.

• Evaluate the accuracy and effectiveness of a representation.

• Use pie, bar, or line graphs of real data to answer questions about
o Values for particular categories/x-coordinates [Equation
concept]
o Differences between values
o Trends
* Answers should include correct units
o Advanced ability: Answer questions about the categories or
x-coordinates at or above (below) a given y-value [Inequality
concept]


• Create accurate graphs of sets of paired data that effectively
support a claim.

• Graph a linear equation of the form y = mx + b by plotting points
when m and b are integers or simple decimals.
o Advanced ability:
Graph ax + by = c .
Describe what it means to be a solution of an equation
in two variables.
Using and manipulating
formulas


Main idea: Accurately and
efficiently evaluate formulas
using substitution and a
calculator.

Relevant sections of text:
(1.4, 1.8, 2.1, 2.6)

Outcomes Assessed:
o Students will be able to use
order of operations
correctly to simplify
algebraic expressions.

 


 

The student should be able to:
• Evaluate basic science, business, and math formulas involving
o at most three variables,
o at most three of +, –, ×, ÷, ^, and ( ), and
o integer or single-digit decimals.

o Advanced ability: do the same with more complex formulas
involving
exact answers,
absolute values, and
rational numbers.


• Simplify basic abstract expressions like
o ax + b + cx + d (x)
o a (b + cy)+ d
with simple decimal or integer coefficients (at most two are
negative).

o Advanced ability: simplify more complex expressions like
−(ax + b)+ c (d + ex)
as well as the previous forms with rational coefficients.
Solving linear equations in
one variable


Main idea: Accurately and
efficiently solve versions of
ax + b = c that include only
one of the following variants:
fractional coefficients, integer
coefficients, decimal
coefficients, parentheses,
variable on both sides.

Relevant sections of text:
(2.1 – 2.4)

Outcomes Assessed:
o Students will be able to
solve linear equations.

 

 

 

 

The student should be able to:
• Understand the different goals for simplifying and solving, and
recognize which is possible in a given situation.

• Simplify basic equations like
o am + b = c
o a t + b = c + d t
o a = b(c + dw)
o P = 2L + 2W , d = rt
where coefficients and solutions are integers or simple decimals (at
most two are negative).

o Advanced ability: Solve equations like

as well as the previous forms with rational coefficients and
solutions.


• Verify that the obtained values are truly solutions.
o Advanced ability: Recognize identities and contradictions.