| MATH |
|
Algebra and Functions
|
| 7.1.1 Write an expression, an equation, an inequality, or a system of
equations or inequalities, representing a verbal
description. |
| 7.1.2 Use correct order of operation to evaluate algebraic expressions
such as 3(2x
+ 5)² |
| 7.1.5 Represent quantitative relationships graphically; interpret meanings
of parts of a graph. |
| 7.2.1 Interpret positive and negative whole-number powers as repeated
division or multiplication; simplify and evaluate
expressions. |
| 7.2.2 Multiply and divide monomials; extend the process of taking powers
and extracting roots to monomials. |
| 7.3.1 Graph functions of the form y = nx² and
y = nx³ and use
in solving problems. |
| 7.3.3 Graph linear functions; know the vertical change (y-value) per
unit of horizontal change (x-value) is always the same and the ratio is called the slope of
a graph. |
| 7.3.4 Plot the values of quantities whose ratios are always the same;
understand that ‘slope of the line’ equals the
quantities. |
| 7.4.1 Solve two-step linear equations and inequalities in one variable
over rational numbers; interpret the solution
and verify results. |
| 7.4.2 Solve multistep problems involving rate, average speed, distance,
and time or a direct variation. |
|
Measurement and Geometry
|
| 7.1.1 Compare weights, capacities, geometric measures, times, and temperatures
within/between measurement systems. |
| 7.1.2 Construct and read drawings and models made to scale. |
| 7.1.3 Use measures expressed as rates and as products to solve problems. |
| 7.2.1 Use formulas for finding perimeter and area of basic two-dimensional
figures; surface area and volume of basic three-dimensional
figures. |
| 7.2.2 Estimate/compute area of complex/irregular two- and three-dimensional
figures by separating figures into more basic
geometric objects. |
| 7.2.3 Compute length of perimeter, surface area of faces, volume of
a three-dimensional object built from rectangular
solids; understand when lengths of all dimensions
are multiplied by scale factor, surface area
is multiplied by square of scale factor and
volume is multiplied by cube of scale factor. |
| 7.2.4 Relate changes in measurement with a change of scale; know conversions
between units (1 square foot = 144 square inches
or [1 ft²] = [144 in²]. |
| 7.3.1 Identify/construct basic elements of geometric figures (e.g.,
altitudes, mid-points, diagonals, angle and
perpendicular bisectors; central angles, and
chords of circles) by using a compass and straightedge. |
| 7.3.2 Understand and use coordinate graphs to plot simple figures, determine
lengths and areas; determine image under translations
and reflections. |
| 7.3.3 Know/understand Pythagorean theorem and converse; find the length
of missing side of a right triangle. |
| 7.3.4 Demonstrate an understanding that two geometrical figures are
congruent, what congruence means to the relationship
between sides and angles of two figures. |
| 7.3.5 Construct two-dimensional patterns for three-dimensional models,
such as cylinders, prisms, and cones. |
| 7.3.6 Identify elements of three-dimensional geometric objects; describe
how two or more objects are related in space. |
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