Standards
Enduring Understandings - important ideas that students should carry
with them years beyond the instruction received this year.
- Numbers can be
represented, ordered, and communicated in many different forms.
- Solutions must be
reasonable.
- Algebra is a
language.
- Data can be used
and represented in many forms.
- Data can be used to
draw conclusions and make predictions.
- Order is important.
- Computation,
reasoning, and estimation are vital mathematical tools.
- Computation skills
are vital mathematical tools.
- There are different
ways of estimating.
- Computational
strategies are connected to algebraic thinking.
Essential Questions - most important “big picture” questions students should
be able to answer after completing learning activities.
- What are
different representations of equivalent numbers?
- Why would we
need exponents?
- Why do we need
to represent order and/or communicate numbers?
- When should you
use a number line?
- When is the
"correct "answer not the best solutions?
- What methods
would you use in solving equations?
- How do you
translate between languages?
- How would you
organize and construct displays of data?
- What
conclusions would you make from a variety of data organizers?
- How would you
calculate measures of central tendency from a given data set?
- How would you
determine which measure of central tendency best represents a set of
data?
- How would you
analyze data and predict future outcomes?
- How is the
order of operations similar to following the rules of a game?
- How do you
decide what strategies to use to solve a problem?
- How do you
decide if the "correct" answer is an appropriate solution?
- How do you
decide which technique to use when estimating?
- How do you
decide the essential elements of a problem?
- How do you
determine which mathematical skills you need to solve problems?
- How do you
match an algebraic representation to an appropriate word problem?
- How do you
justify the reasonableness of a solution?
Standards:
 Highest
Frequency
 High
Frequency
 Other
Standards and E-Skills
Standard 1:
(Number Sense) Students develop number sense and use numbers and
number relationships in problem solving situations and communicate
the reasoning in solving these problems.
1.1 Use exponents to show how many times a base are used.
1.2
Read and write large whole numbers. Read, identify, and utilize
place value with large numbers. Locate decimal values on a
number line.
1.3
Characterize numbers by odd, even, prime, composite, divisibility,
and exponents/powers.
1.6
Recognize Commutative, Associative, Distributive, and Identity
properties.
Standard 2:
(Algebra and Functions) Students use algebraic methods to explore,
model and describe patterns and functions involving numbers, shapes,
data, and graphs in problem-solving situations and communicate the
reasoning used in solving these problems.
2.1 Recognize,
extend and use geometric, numeric, linear, or visual patterns to
solve a problem. Using the rule for a pattern to represent it in a
table, graph, and problem solve. Recognize an equation that models
a given situation.
2.2
Recognizing, describing, and extending a pattern and function using
tables and graphs in a problem solving situation. Using a
table to find a constant/unit rate.
2.5
Substituting in a formula to compute a value. Solving a simple
linear equation in a problem solving situation. Using a linear
function given in a context to solve a problem.
2.1
Extend and recognize nonlinear patterns in a table or graph.
2.3
Extend a pattern to compute x or y.
Standard 3:
(Statistics and Probability) Students use data collection and
analysis, statistics, and probability in problem-solving situations
and communicate the reasoning used in solving these problems.
3.1
Read, interpret, and draw conclusions from line graphs, bar graphs,
histograms, and circle graphs.
Standard 6:
(Computation) Students link concepts and procedures as they develop
and use computational techniques, including estimation, mental
arithmetic, paper-and-pencil, calculators, and computers, in
problem-solving situations and communicate the reasoning involve.
6.2 Order of Operations (Parenthesis, Exponents, Multiplication and
Division, Addition and Subtraction; PEMDAS Adding, Subtracting,
Multiplying and Dividing with whole numbers, exponents, decimals,
fractions, mixed numbers, and integers.
6.2
Recognize format of equations with one or more variables. Introduce
1 step equations.
6.4
Solve problems by estimating with rational numbers. |
