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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.
- Algebra is a
language.
- Data can be used to
draw conclusions and make predictions.
- Computation,
reasoning, and estimation are vital mathematical tools.
- There are different
ways of estimating.
- Computational
strategies are connected to algebraic thinking.
- Geometry builds our
world.
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Measurements are used
to compare:
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Formulas are used in
the real world.
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Dimensional change
affects geometry.
Essential Questions - most important “big picture” questions students should
be able to answer after completing learning activities.
- What are
different representations of equivalent numbers?
- 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
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
match an algebraic representation to an appropriate word problem?
- How do you
justify the reasonableness of a solution?
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How do you use the
attributes of two- or three- dimensional shapes?
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How would you solve
problems involving area, circumference, or surface area?
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How would you transform
figures to determine congruency?
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How would you decide
which procedure and formula to use to solve area problems?
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How does dimensional
change affect the attributes of a polygon?
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How do you choose
appropriate units and tools to create congruent figures?
Quarter 1 Big Ideas:
Graphs and Data Analysis, Algebra, Decimals
Quarter 2 Big Ideas: Fractions, Geometry, Measurement
Quarter 3 Big Ideas: Ratio, Proportions and Percents, Integers,
Probability
Quarter 4 Big Ideas: Surface Area and Volume of Right Prisms,
Algebraic Thinking, Order of Operations, Integers
CSAP
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
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.
2.5a Solve simple equations
2.5b Translate English expressions and algebraic expressions
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.
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.
3.1a Construct a
histogram and stem-and-leaf plot
3.1b Read, interpret
and draw conclusions from histograms and stem-and-leaf plots
3.1b Read, interpret
and draw conclusions from circle graphs
3.1
Read, interpret, and draw conclusions from line graphs, bar graphs,
histograms, and circle graphs
Standard 4:
(Geometry) Students use geometric concepts, properties, and relationships in
problem-solving situations and communicate the reasoning used in
solving these problems.
4.5b
Solve problems involving area of circles, triangles, and parallelograms
4.5c
Solve problems involving surface area of rectangular prisms
4.6a Reflect,
translate, and rotate figures to determine congruency
Standard 5: (Measurement) Students use a variety of tools and techniques to measure, apply
the results in problem-solving situations, and communicate the reasoning
involved in solving these problems.
5.4a Solve problems
involving area of trapezoids, regular hexagons, and regular octagons
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 |
