GPS Standards
Last updated August 4th, 2009 at 10:01 a.m..Mathematics Georgia Performance Standards
RED- 1st nine weeks standards covered
GREEN-2nd nine weeks standards covered
BLUE- 3rd nine weeks standards covered
BLACK- 4th nine weeks standards covered
FIRST NINE WEEKS
DATA ANALYSIS AND PROBABILITY
Students will demonstrate understanding of data analysis by posing questions, collecting data, analyzing the data using measures of central tendency and variation, and using the data to answer the questions posed. Students will understand the role of probability in sampling.
M7D1. Students will pose questions, collect data, represent and analyze the data, and interpret results.
a. Formulate questions and collect data from a census of at least 30 objects and
from samples of varying sizes.
b. Construct frequency distributions.
c. Analyze data using measures of central tendency (mean, median, and mode)
d. Analyze data with respect to measures of variation (range, quartiles, interquartile range)including recognition of outliers.
e. Compare measures of central tendency and variation from samples to those
from a census. Observe that sample statistics are more likely to approximate
the population parameters as sample size increases.
f. Analyze data using appropriate graphs, including pictographs, histograms, bar
graphs, line graphs, circle graphs, and line plots introduced earlier, and using
box and- whisker plots and scatter plots.
g. Analyze and draw conclusions about data, including describing the
relationship between two variables.
ALGEBRA
Students will demonstrate an understanding of linear relations and fundamental algebraic concepts.
M7A1. Students will represent and evaluate quantities using algebraic expressions.
b. Simplify and evaluate algebraic expressions, using commutative, associative, and distributive properties as appropriate.
c. Add and subtract linear expressions.
M7A2. Students will understand and apply linear equations in one variable.
a. Given a problem, define a variable, write an equation, solve the equation, and
interpret the solution.
b. Use the addition and multiplication properties of equality to solve one- and
two-step linear equations.
M7A3. Students will understand relationships between two variables.
a. Plot points on a coordinate plane.
b. Represent, describe, and analyze relations from tables, graphs, and formulas.
c. Describe how change in one variable affects the other variable.
SECOND NINE WEEKS
Students will further develop their understanding of the concept of rational numbers and apply them to real world situations.
M7N1. Students will understand the meaning of positive and negative rational numbers and use them in computation.
a. Find the absolute value of a number and understand it as the distance from zero on a number line. b. Compare and order rational numbers, including repeating decimals. c. Add, subtract, multiply, and divide positive and negative rational numbers. d. Solve problems using rational numbers.
GEOMETRY
Students will further develop and apply their understanding of plane and solid geometric figures through the use of constructions and transformations. Students will explore the properties of similarity and further develop their understanding of 3-dimensional figures.
M7G1. Students will construct plane figures that meet given conditions.
a. Perform basic constructions using both compass and straight edge, and appropriate technology. Constructions should include copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line. b. Recognize that many constructions are based on the creation of congruent triangles.
M7G2. Students will demonstrate understanding of transformations.
a. Demonstrate understanding of translations, dilations, rotations, reflections, and
relate symmetry to appropriate transformations.
b. Given a figure in the coordinate plane, determine the coordinates resulting
from a translation, dilation, rotation, or reflection.
THIRD NINE WEEKS
M7G3. Students will use the properties of similarity and apply these concepts to geometric figures.
a. Understand the meaning of similarity, visually compare geometric figures for
similarity, and describe similarities by listing corresponding parts.
b. Understand the relationships among scale factors, length ratios, and area ratios
between similar figures. Use scale factors, length ratios, and area ratios to
determine side lengths and areas of similar geometric figures.
c. Understand congruence of geometric figures as a special case of similarity: the figures have the same size and shape.
M7A3 d. Describe patterns in the graphs of proportional relationships, both direct (y=kx) and indirect (y=k/x).
FOURTH NINE WEEKS
M7G4. Students will further develop their understanding of three-dimensional figures.
a. Describe three-dimensional figures formed by translations and rotations of
plane figures through space.
b. Sketch, model, and describe cross-sections of cones, cylinders, pyramids, and prisms.
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, ≅, ~, ≈, ||, ⊥, ∠.
Process StandardsThe following process standards are essential to mastering each of the mathematics content standards. They emphasize critical dimensions of the mathematical proficiency that all students need.
M7P1. Students will solve problems (using appropriate technology).
a. Build new mathematical knowledge through problem solving.
b. Solve problems that arise in mathematics and in other contexts.
c. Apply and adapt a variety of appropriate strategies to solve problems.
d. Monitor and reflect on the process of mathematical problem solving.
M7P3. Students will communicate mathematically.
a. Organize and consolidate their mathematical thinking through communication. b. Communicate their mathematical thinking coherently and clearly to peers,
teachers, and others.
c. Analyze and evaluate the mathematical thinking and strategies of others.
d. Use the language of mathematics to express mathematical ideas precisely.
M7P4. Students will make connections among mathematical ideas and to other disciplines.
a. Recognize and use connections among mathematical ideas.
b. Understand how mathematical ideas interconnect and build on one another to
produce a coherent whole.
c. Recognize and apply mathematics in contexts outside of mathematics.
M7P5. Students will represent mathematics in multiple ways.
a. Create and use representations to organize, record, and communicate
mathematical ideas.
b. Select, apply, and translate among mathematical representations to solve
problems.
c. Use representations to model and interpret physical, social, and mathematical
phenomena.
