Grade/Course: Algebra I (First Semester)
Instructional Unit 1: Understanding Quantities and Expressions
Instructional Schedule: First Nine Weeks (suggested for 10 days)
Adapted from Timothy Kanold Scope-and-Sequence documents
Standards:
Evidence Of Standard:
(student should be able to…)
Prerequisite Knowledge:
(standards linked to content taught in
previous grades)
Reason quantitatively and use units to solve problems. (supporting content)
(BA/PASS 1.1c) Use units as a way to
understand problems and to guide
the solution of multi-step problems;
choose and interpret units
consistently in formulas of geometric
models, science, and statistics to
solve problems within an algebraic
context; choose and interpret the
scale and the origin in graphs and
data displays.
-Calculate unit conversions.
-Recognize units given and/or needed
to solve problems.
(BA 1.1e) Define appropriate
quantities for the purpose of
descriptive modeling.
Choose a level of accuracy
appropriate to limitations on
measurement when reporting
quantities.
-Define descriptive modeling:
1. Describing real-world events and
the relationships between factors
responsible for them.
2. Presenting main features and a
summary of data.
-Determine appropriate quantities
for the purpose of descriptive
modeling.
-Use given units and the context
of a problem as a way to
determine if the solution to a
multi-step problem is
reasonable (e.g. length problems
dictate different units than
problems dealing with a
measure such as slope).
-Choose appropriate units to
represent a problem when using
formulas or graphing.
-Interpret units or scales used in
formulas or represented in
graphs.
-Use units as a way to
understand problems and to
guide the solution of multi-step
problems.
Assessment Tools:
(formative assessments, quizzes,
mastery tasks/activities)
-Identify appropriate units of
measurement to report quantities.
-Determine the limitations of
different measurement tools.
-Choose and justify a level of
accuracy and/or precision
appropriate to limitations on
measurement when reporting
quantities.
-Identify important quantities in a
problem or real-world context.
Interpret the structure of expressions. (key content)
(BA/PASS 1.2a) Interpret parts of an
expression, such as terms, factors,
and coefficients. Simplify and
evaluate linear, absolute value,
rational, and radical expressions.
(BA 1.2d) Interpret complicated
expressions by viewing one or more
of their parts as a single entity. For
example, interpret 𝑃(1 + 𝑟)𝑛 as the
product of P and a factor not
depending on P.
-For expressions that represent a
contextual quantity, define and
recognize parts of an expression,
such as terms, factors, and
coefficients as well as in terms of the
context.
- Simplify and evaluate linear,
absolute value, rational, and radical
expressions.
-For expressions that represent a
contextual quantity, interpret
complicated expressions, that could
include parentheses and exponents,
by recognizing one or more of their
parts as a single quantity.
Use properties of rational and irrational numbers. (additional content)
(BA 1.2) Explain why the sum or
product of two rational numbers is
rational; that the sum of a rational
number and an irrational number is
irrational; and that the product of a
nonzero rational number and an
irrational number is irrational.
-Recognize the difference between
rational and irrational numbers.
-Use knowledge of properties of
rational and irrational numbers to
explain:
1. Why the sum or product of two
rational numbers is rational.
2. Why the sum of a rational number
and an irrational number is irrational.
3. Why the product of a nonzero
rational number and an irrational
number is irrational.
Note: Any italicized text denotes portions of a given standard that do not apply to identified standard content in this unit.
Resources/Exemplar Tasks:
( list possible task/activities students could engage in within this unit)
Standards for Mathematical Practice:
(highlight practice standards to be emphasized in the instructional unit)
1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of instruction.
8. Look for and express regularity in repeated reasoning.
( BA: Broken Arrow rigor standard; PASS: Priority Academic Student Skills standard; BA/PASS: Combination standard )