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Advanced/Gifted 7th Grade Math
Course Description
By the end of
grade seven, students will understand
and use rational numbers, including
signed numbers; solve linear equations
in one variable; sketch and construct
plane figures; demonstrate
understanding of transformations; use
and apply properties of similarity;
examine properties of geometric shapes
in space; describe and sketch solid
figures, including their
cross-sections; represent and describe
relationships between variables in
tables, graphs, and formulas; analyze
the characteristics of linear
relationships; and represent and
analyze data using graphical displays,
measures of central tendency, and
measures of variation.
Instruction and
assessment should include the
appropriate use of manipulatives and
technology. Topics should be
represented in multiple ways, such as
concrete/pictorial, verbal/written,
numeric/data-based, graphical, and
symbolic. Concepts should be
introduced and used, where
appropriate, in the context of
realistic phenomena.
Concepts/Skills to Maintain
Operations with
positive rational numbers, including
mixed numbers
Line and rotational
symmetry
Surface area and
volume
Ratio as a
representation of quantitative
relationships
Terms/Symbols:
natural number, whole
number, sign, integer, opposite,
negative, positive, absolute value,
term, variable, commutative property,
associative property, distributive
property, algebraic expression, linear
equation, direct and indirect
proportions, constant of
proportionality (y
=
kx), variation,
polyhedron, translation, rotation,
reflection, dilation, symmetry,
bisector, parallel lines,
perpendicular lines, cross-section,
similar, congruent, point, line,
plane, line segment, endpoints,
intersection, ray, parallel lines,
perpendicular lines, similar,
similarity, rate, scale drawings,
corresponding sides, corresponding
angles, congruent, diagonal, algebraic
expression, commutative property,
associative property, distributive
property, direct variation, inverse
variation, inversely proportional,
mean, median, mode, range, quartile,
interquartile range, outlier,
histogram, scatter plot, line plot,
box-and-whisker plot,
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Unit 1: Dealing with Data
Unit 2: Patterns and Relations
Unit 3: Rational Reasoning
Unit 4: Flip, Slide, and Turn
Unit 5: Staying in Shape
Unit 6: Values That Vary
Unit 7: Slices and Shadows
Unit 8: Show What We Know |