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Curriculum Framework - Grade 7 |
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Session |
BenchMark |
Topic |
Number sense,
Concepts, and Operations |
| 1 |
MA.6.A.5.2 |
Relative size of numbers - Solve percent problems,
including problems involving discounts,
simple interest, taxes, tips and percents of
increase or decrease. |
| 2 |
MA.6.A.5.1 |
Fractions/percents - Use equivalent forms of fractions, decimals, and percents
to solve problems. |
| 3 |
MA.7.A.3.1 |
Distributive property - Use and justify the rules for adding, subtracting,
multiplying, dividing, and finding the absolute value of integers. |
| 4 |
MA.7.A.3.2 |
Effects of operations - Add, subtract, multiply, and divide integers, fractions,
and terminating decimals, and perform exponential operations with rational
bases and whole number exponents including solving problems in everyday
contexts. |
| 5 |
MA.7.A.3.1 |
Order of operations - Use and justify the rules for adding, subtracting,
multiplying, dividing, and finding the absolute value of integers. |
| 6 |
MA.8.A.6.1, |
Scientific notation - Use exponents and scientific notation to write large and
small numbers and vice versa and to solve problems. |
| 7 |
MA.5.G.5.2 |
Length estimate - Compare, contrast, and convert units of measure within the
same dimension (length, mass, or time) to solve problems. |
| 8 |
MA.7.A.1.2, |
Discount - Solve percent problems, including problems involving
discounts, simple interest, taxes, tips, and percents of increase or
decrease.
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| 9 |
MA.6.A.2.2 |
Fractional computation - Estimate the results of
computations with fractions, decimals, and
percents and judge the reasonableness of the
results. |
Measurement |
| 10 |
MA.7.G.2.1 |
Volume - Justify and apply formulas for surface area and volume of
pyramids, prisms, cylinders, and cones. |
| 11 |
MA.5.G.5.4 |
Perimeter - Derive and apply formulas for
areas of parallelograms, triangles, and
trapezoids from the area of a rectangle. |
| 12 |
MA.6.G.4.1, MA.7.G.4.1 |
Circumference - Understand the concept of Pi, know common estimates of Pi
(3.14; 22/7) and use these values to estimate and calculate the circumference
and the area of circles. Change in circumference -
Determine how changes in dimensions affect the perimeter, area, and volume of
common geometric figures, and apply these relationships to solve
problems. |
| 13 |
MA.6.A.2.1, |
Rate - Use reasoning about multiplication and division to solve
ratio and rate problems. |
| 14 |
MA.7.A.1.6, MA.7.G.4.4 |
Scale drawing - Apply proportionality to measurement in multiple
contexts, including scale drawings and constant speed. Metric length - Compare,
contrast, and convert units of measure between different measurement systems
(US customary or metric (SI)), dimensions, and derived units to solve
problems. |
Geometry and
Spatial Sense |
| 15 |
MA.912.G.1.4,
MA.912.A.3.10, |
Perpendicular lines - Use coordinate geometry to find slopes, parallel lines,
perpendicular lines, and equations of lines.
Perpendicularity - Write an equation of a line given any of the following
information: two points on the line, its slope and one point on the line, or
its graph. Also, find an equation of a new line parallel to a given line, or
perpendicular to a given line, through a given point on the new line. |
| 16 |
MA.8.G.2.2,
MA.8.G.2.2 |
Angles - Classify
and determine the measure of angles, including angles created when parallel
lines are cut by transversals.
Angle relationships -
Classify and determine the measure of angles, including angles created when
parallel lines are cut by transversals. |
| 17 |
MA.5.G.3.1,
MA.7.G.4.3 |
Two -dimensional figures - Analyze and
compare the properties of two-dimensional figures , including the number of
edges, faces, vertices, and types of faces.
Coordinate plotting - Identify and plot ordered pairs in all four quadrants of
the coordinate plane. |
| 18 |
MA.7.G.4.2 |
Translations - Predict the results of
transformations and draw transformed
figures, with and without the coordinate
plane. |
| 19 |
MA.912.G.2.4 |
Congruency - Apply transformations (translations, reflections,
rotations, dilations, and scale factors) to polygons. to determine
congruence, similarity, and symmetry. Know that images formed by
translations, reflections, and rotations are congruent to the original shape.
Create and verify tessellations of the plane using polygons. |
Algebra
Thinking |
| 20 |
MA.7.A.3.3 |
Functions - Create and interpret tables,
graphs, and models to represent, analyze,
and solve problems related to linear
equations, including analysis of domain,
range and the difference between discrete
and continuous data. |
| 21 |
MA.6.A.2.1 |
Evaluating expressions - Perform operations on real
numbers (including integer exponents,
radicals, percents, scientific notation,
absolute value, rational numbers, and
irrational numbers) using multi-step and real
world problems. Generalizing rules/expressions - Describe mathematics relationships using expressions,
equations, and visual representations. |
| 22 |
MA.8.A.1.1 |
Linear equations - Create and interpret tables, graphs, and models to
represent, analyze,
and solve problems related to linear
equations, including analysis of domain, range, and the difference between
discrete and continuous data. |
| 23 |
MA.8.A.4.2 MA.7.A.1.6 |
Solving inequalities - Solve and graph one- and two-step inequalities in one
variable. Solving equations - Solve
literal equations for a
specified variable. |
| 24 |
MA.8.A.1.1 |
Graphic representation of
equations/inequalities - Create and interpret
tables, graphs, and models to represent, analyze, and solve problems related
to linear equations, including analysis of domain, range, and the difference
between discrete and continuous data. |
Data Analysis
and Probability |
| 25 |
MA.5.S.7.2,
MA.7.S.6.2,
MA.912.D.7.2 |
Charts - Differentiate
between continuous and discrete data, and determine ways to represent those
using graphs and diagrams.
Circle graphs - Construct and analyze histograms, stem-and-leaf plots,
and circle graphs.
Venn diagrams - Use Venn diagrams to explore relationships and patterns
and to make arguments about relationships between sets. |
| 26 |
MA.6.S.6.1, MA.6.S.6.1 |
Mode - Determine the measures of central tendency (mean, median,
mode) and variability (range) for a given set of data.
Mean -
Determine the measures of central tendency (mean, median, mode) and
variability (range) for a given set of data. |
| 27 |
MA.912.P.1.1 |
Determining combinations - Use formulas for permutations and combinations to count
outcomes and determine probabilities of events. |
| 28 |
MA.7.P.7.1 |
Probability - Determine the outcome of an experiment and predict which
events are
likely or unlikely, and if the experiment is fair or unfair. |
| 29 |
MA.7.P.7.2, |
Making predictions - Determine, compare, and make predictions based on experimental or theoretical probability of
independent or dependent events, |
| 30 |
MA.8.S.3.2 |
Interpretation of data - Determine and describe how
changes in data values impact measures of
central tendency. |
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