By the end of 7th grade, your child should have:
Number Sense
1.They should know the value of numbers with respect to other numbers
(including integers, fractions, and decimals)
2.They should be able to read and write rational numbers.
3.They should be able to add, subtract, multiply and divide rational numbers.
4.They should be able to convert rational numbers from one form to another and
use these representations in estimations, computations, and applications.
5.They should be able to calculate the percentage of increases and decreases
of a quantity.
6.They should be able to solve problems that involve discounts, markups,
commissions, and profit and compute simple and compound interest.
7.They should be able to use exponents and roots.
Algebra and Functions Understanding
8.They should be able to express quantitative relationships by using algebraic
terminology, expressions, equations, inequalities, and graphs.
9.They should be able to use the correct order of operations to evaluate
algebraic expressions.
10.They should be able to represent quantitative relationships graphically and
interpret the meaning of a specific part of a graph in the situation
represented by the graph.
11.They should be able graph and interpret linear and some nonlinear functions.
12.They should be able to solve simple linear equations and inequalities over
the rational numbers.
13.They should be able to solve multi step problems involving rate, average
speed, distance, and time or a direct variation.
Measurement and Geometry Understanding
14.They should be able to choose appropriate units of measure and use ratios
to convert within and between measurement systems to solve problems.
15.They should be able to use measures expressed as rates (e.g., speed, density).
16.They should be able to compute the perimeter, area, and volume of common
geometric objects and use the results to find measures of less common objects.
17.They should be able to 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.
18.They should be able to identify and construct basic elements of geometric
figures (e.g., altitudes, mid-points, diagonals, angle bisectors, and
perpendicular bisectors; central angles, radii, diameters, and chords of
circles) by using a compass and straightedge.
19.They should be able to demonstrate an understanding of conditions that
indicate two geometrical figures are congruent and what congruence means about
the relationships between the sides and angles of the two figures.
Statistics, Data Analysis, and Probability Understanding
20.They should be able to collect, organize, and represent data sets that have
one or more variables and identify relationships among variables within a data
set.
21.They should know various forms of display for data sets, including a
stem-and-leaf plot or box-and-whisker plot; use the forms to display a single
set of data or to compare two sets of data.
22.They should be able to represent two numerical variables on a scatter plot
and informally describe how the data points are distributed and any apparent
relationship that exists between the two variables (e.g., between time spent
on homework and grade level).
23.They should understand the meaning of, and be able to compute, the minimum,
the lower quartile, the median, the upper quartile, and the maximum of a data set.
Mathematical Reasoning
24.They should be able to make decisions about how to approach problems.
25.They should be able to analyze problems by identifying relationships,
distinguishing relevant from irrelevant information, identifying missing
information, sequencing and prioritizing information, and observing patterns.
26.They should be able to formulate and justify mathematical conjectures based
on a general description of the mathematical question or problem posed.
27.They should be able to determine when and how to break a problem into
simpler parts.
28.They should be able to use estimation to verify the reasonableness of
calculated results.
29.They should be able to apply strategies and results from simpler problems
to more complex problems.
30.They should be able to estimate unknown quantities graphically and solve
for them by using logical reasoning and arithmetic and algebraic techniques.
31.They should be able to make and test conjectures by using both inductive
and deductive reasoning.
32.They should be able to use a variety of methods, such as words, numbers,
symbols, charts, graphs, tables, diagrams, and models, to explain mathematical
reasoning.
33.They should be able to 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.
34.They should be able to make precise calculations and check the validity of
the results from the context of the problem.
35.They should be able to determine a solution is complete and move beyond a
particular problem by generalizing to other situations.
