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Standards Correlation
Algebra Readiness Standards
Number
Sense Standards |
Lessons |
| (Gr7) NS1.2 |
Add, subtract, multiply, and divide rational numbers (integers,
fractions, and terminating decimals) and take positive rational
numbers to whole-number powers. |
3.1, 3.3, 4.3, 6.3, 7.3, 9.2, 9.3, 10.1, 11.3,
12.2, 12.3, 13.2, 13.3, 14.2, 14.3, 15.2, 15.3, 17.3, 18.3,
19.2, 19.3,
20.1, 21.2, 21.3, 22.1, 22.3, 24.3, 25.1, 25.3, 27.3, 28.1,
29.1 |
| (Gr7) NS1.3 |
Convert fractions to decimals and percents and use these
representations in estimations, computations, and applications. |
7.1, 8.1, 8.2, 11.3, 17.2, 18.1, 18.2, 18.3, 19.1, 19.2,
20.3, 21.2, 22.3, 23.2, 27.3 |
| (Gr7) NS1.5 |
Know that every rational number is either a terminating
or repeating decimal and be able to convert terminating decimals
into reduced fractions. |
8.2, 17.2, 20.3, 23.2 |
| (Gr7) NS2.1 |
Understand negative whole-number exponents. Multiply and
divide expressions involving exponents with a common base. |
21.3, 23.1, 23.3, 25.3 |
Algebra
and Fuctions Standards
|
Lessons
|
| (Gr7) AF1.1 |
Use variables and appropriate operations to write an expression,
an equation, an inequality, or a system of equations or inequalities
that represents a verbal description (e.g., three less than
a number, half as large as area A). |
2.1, 10.1, 11.2, 14.1, 16.1, 24.1, 24.2, 25.1, 25.2, 26.2,
26.3, 27.2, 28.1, 28.2, 28.3, 31.1, 31.2, 31.3 |
| (Gr7) AF1.3 |
Simplify numerical expressions by applying properties of
rational numbers (e.g., identity, inverse, distributive,
associative, commutative) and justify the process used. |
1.1, 14.1, 15.2, 20.1, 25.1, 25.3, 26.1, 26.3, 27.3, 29.3,
31.1 |
| (Gr7) AF2.1 |
Interpret positive whole-number powers as repeated multiplication
and negative whole-number powers as repeated division or
multiplication by the multiplicative inverse. Simplify and
evaluate expressions that include exponents. |
22.1, 22.3, 23.1, 23.3, 25.3 |
| (Gr7) AF3.3 |
Graph linear functions, noting that the vertical change
(change in y-value) per unit of horizontal change (change
in x-value) is always the same and know that the ratio ("rise
over run") is called the slope of a graph. |
5.2, 22.2, 29.1, 30.1, 30.2, 30.3, 31.1, 31.3, 32.1, 32.2,
32.3 |
| (Gr7) AF3.4 |
Plot the values of quantities whose ratios are always the
same (e.g., cost to the number of an item, feet to inches,
circumference to diameter of a circle). Fit a line to the
plot and understand that the slope of the line equals the
quantities. |
6.2, 15.1, 21.3, 29.1, 30.1, 31.1 |
| (Gr7) AF4.1 |
Solve two-step linear equations and inequalities in one
variable over the rational numbers, interpret the solution
or solutions in the context from which they arose, and verify
the reasonableness of the results. |
11.2, 16.3, 26.1, 26.2, 27.1, 27.2, 28.1, 28.2, 28.3, 30.3,
31.3 |
| (Gr7) AF4.2 |
Solve multistep problems involving rate, average speed,
distance, and time or a direct variation. |
17.1, 19.3, 20.1, 21.3, 22.2, 23.3, 28.2, 28.3, 29.2, 31.1 |
Measurement
and Geometry Standards
|
Lessons
|
| (Gr7) MG1.3 |
Use measures expressed as rates (e.g., speed, density)
and measures expressed as products (e.g., person-days) to
solve problems; check the units of the solutions; and use
dimensional analysis to check the reasonableness of the answer. |
17.1, 18.2, 19.3, 28.2, 31.1 |
| (Gr7) MG3.3 |
Know and understand the Pythagorean theorem and its converse
and use it to find the length of the missing side of a right
triangle and the lengths of other line segments and, in some
situations, empirically verify the Pythagorean theorem by
direct measurement. |
24.1, 24.2, 26.3 |
Mathematical
Reasoning Standards
|
Lessons
|
| (Gr7) MR1.0 |
Students make decisions about how to approach problems. |
17.1, 24.2, 27.2, 31.2 |
| (Gr7) MR1.1 |
Analyze problems by identifying relationships, distinguishing
relevant from irrelevant information, identifying missing
information, sequencing and prioritizing information, and
observing patterns. |
3.2, 11.1, 19.1, 19.2, 24.1, 25.1, 25.2, 32.2 |
| (Gr7) MR1.2 |
Formulate and justify mathematical conjectures based on
a general description of the mathematical question or problem
posed. |
13.1, 22.1, 23.1, 24.1, 25.2, 32.2 |
| (Gr7) MR1.3 |
Determine when and how to break a problem into simpler
parts. |
0.3, 1.1, 14.1, 16.2, 18.1, 26.2, 30.1, 30.2, 30.3 |
| (Gr7) MR2.0 |
Students use strategies, skills, and concepts in finding
solutions. |
8.1, 9.2, 12.1, 25.2 |
| (Gr7) MR2.1 |
Use estimation to verify the reasonableness of calculated
results. |
1.2, 00.1, 18.3, 21.2, 26.3, 31.1 |
| (Gr7) MR2.2 |
Apply strategies and results from simpler problems to more
complex problems. |
1.1, 12.2, 14.1, 14.2, 16.1, 16.2, 30.1, 30.2, 30.3 |
| (Gr7) MR2.3 |
Estimate unknown quantities graphically and solve for them
by using logical reasoning and arithmetic and algebraic techniques. |
22.2, 31.1, 31.2, 32.1 |
| (Gr7) MR2.4 |
Make and test conjectures by using both inductive and deductive
reasoning. |
4.2,6.1, 22.1, 23.1, 23.2, 24.1, 25.1, 25.2, 28.1 |
| (Gr7) MR2.5 |
Use a variety of methods, such as words, numbers, symbols,
charts, graphs, tables, diagrams, and models, to explain
mathematical reasoning. |
4.2, 5.2, 6.2, 9.2, 9.3, 10.3, 14.2, 15.2, 19.1, 20.2,
23.2, 26.2, 27.2, 27.3, 28.2, 29.2, 31.2 |
| (Gr7) MR2.6 |
Express the solution clearly and logically by using the
appropriate mathematical notation and terms and clear language;
support solutions with evidence in both verbal and symbolic
work. |
0.3, 7.2, 9.2, 20.1, 26.1, 26.2, 27.2, 28.2, 29.3 |
| (Gr7) MR2.7 |
Indicate the relative advantages of exact and approximate
solutions to problems and give answers to a specified degree
of accuracy. |
1.2, 20.2, 21.2 |
| (Gr7) MR2.8 |
Make precise calculations and check the validity of the
results from the context of the problem. |
2.2, 20.2, 26.1, 26.2, 27.1, 27.2 |
| (Gr7) MR3.0 |
Students determine a solution is complete and move beyond
a particular problem by generalizing to other situations: |
14.2, 24.1, 25.1, 25.2 |
| (Gr7) MR3.1 |
Evaluate the reasonableness of the solution in the context
of the original situation. |
27.2, 28.2, 29.1, 31.1 |
| (Gr7) MR3.2 |
Note the method of deriving the solution and demonstrate
a conceptual understanding of the derivation by solving similar
problems. |
7.2, 11.2, 12.2, 14.2, 15.2, 15.3, 17.1 |
| (Gr7) MR3.3 |
Develop generalizations of the results obtained and the
strategies used and apply them to new problem situations. |
2.2, 3.1, 3.3, 14.2, 15.2, 15.3, 25.1, 25.2, 28.1 |
Algebra Standards
|
Lessons
|
| ALG 2.0 |
Students understand and use such operations as taking the
opposite, finding the reciprocal, taking a root, and raising
to a fractional power. They understand and use the rules
of exponents. [excluding fractional powers] |
13.2, 13.3, 21.2, 22.1, 22.3, 23.1, 23.3, 24.1, 24.2, 25.3,
26.1, 26.2, 27.1, 27.2, 27.3, 28.1, 28.2, 29.3, 31.2, 31.3 |
| ALG 4.0 |
Students simplify expressions before solving linear equations
and inequalities in one variable, such as 3(2x – 5)
4(x – 2) = 12. [excluding inequalities] |
11.2, 16.3, 25.1, 25.2, 26.1, 26.2, 27.1, 27.2, 27.3, 28.1,
28.2, 28.3, 29.3, 30.3, 31.2, 31.3 |
| ALG 5.0 |
Students solve multistep problems, including word problems,
involving linear equations and linear inequalities in one
variable and provide justification for each step. [excluding
inequalities] |
20.1, 26.1, 26.2, 27.1, 27.2, 27.3, 28.1, 28.2, 28.3, 29.3,
30.3, 31.3 |
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