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Enduring Understandings
- important ideas that students should carry with them years beyond the
instruction received this year.
Mathematics is a tool
for communication. -
It is essential to be able to communicate the reasoning used to solve
problems.
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Algebra is a universal
language and a way of
thinking.
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Functions model the real world.
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Discerning patterns is a way of understanding the world.
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Life involves
probability and statistics.
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Geometry builds our world.
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Discerning patterns is a way of understanding the world and helps us to
make and test conjectures.
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Units and precision matter.
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Proportional reasoning solves real world problems.
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Mathematics incorporates multiple problem solving strategies.
Essential Questions
- most important “big picture” questions students should be able to answer
after completing learning activities.
What gives a number value?
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How do you know what an answer looks like before you solve the
problem?
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How is math a universal language?
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How are functions used to model data?
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In what ways can we use mathematical thinking to model real world
situations?
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In what ways can
you represent a function?
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How is looking at graphs, tables and other graphics a way of
reading?
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How is algebra generalized arithmetic?
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How does algebra help make more sense of geometry?
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How can data be used to mislead/ manipulate people?
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How can something change and stay the same?
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How is geometry related to everything?
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How is the triangle the essential building block for everything?
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What does it mean to be average?
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 |
