Maine State Standards for Mathematics: Grade 7

ME.A. Number: Students use numbers in everyday and mathematical contexts to quantify or describe phenomena, develop concepts of operations with different types of numbers, use the structure and properties of numbers with operations to solve problems, and perfor

A.1. Rational Number: Students use negative and positive rational numbers expressed as integers, fractions, and decimals.

A.1.a. Recognize rational numbers as quotients of integers with a non-zero denominator and recognize that rational numbers can be negative or positive.

A.1.b. Compare signed rational numbers and place them on the number line.

A.2. Rational Number: Students compute with signed rational numbers.

A.2.a. Use and interpret exponents.

A.2.b. Follow conventions of order of operations including exponents.

A.2.c. Solve problems using signed rational numbers.

A.3. Rational Number: Students understand that when the ratio of two varying quantities is constant, the two quantities are in direct proportion.

A.3.a. Use ratios to compare quantities and use comparison to solve problems.

A.3.b. Identify proportional relationships.

A.3.c. Use proportions to solve problems.

A.4. Rational Number: Students interpret and use percents to solve problems.

A.4.a. Use percents when comparing fractional parts of sets of unequal size.

A.4.b. Solve practical problems involving percents.

ME.B. Data: Students make measurements and collect, display, evaluate, analyze, and compute with data to describe or model phenomena and to make decisions based on data. Students compute statistics to summarize data sets and use concepts of probability to make

B.1. Data Analysis: Students use graphs and charts to represent, organize, interpret, and draw inferences from data.

B.1.a. Create tables, pictograms, bar graphs, line graphs, pie charts, stem and leaf plots, box and whiskers plots, and histograms using pencil and paper and electronic technologies.

B.1.b. Draw conclusions based on graphs and charts including tables, pictograms, bar graphs, line graphs, pie charts, stem and leaf plots, box and whiskers plots, and histograms.

B.2. Probability: Students understand and apply concepts of probability to simple events.

B.2.a. Describe events as likely or unlikely and discuss the concept of likelihood using such words phrases as ''certain'', ''equally likely'', and ''impossible''.

B.2.b. Predict the probability of outcomes of simple experiments and verify predictions using the understanding that the probability of an occurrence is the ratio of the number of actual occurrences to the number of possible occurrences.

B.2.c. Interpret probabilities between and including zero and one and explain why zero and one are the upper and lower limits for probability values.

ME.C. Geometry: Students use measurement and observation to describe objects based on their sizes and shapes; model or construct two-dimensional and three-dimensional objects; solve problems involving geometric properties; compute areas and volumes based on obj

C.1. Geometric Figures: Students understand angle properties of lines in the plane.

C.1.a. Identify and name straight angles, angles at a point, and vertical angles and use these measures to find the measures of unknown angles.

C.1.b. Recognize that the measures that form straight angles add to 180 degrees and the measures of angles at a point add to 360 degree and apply this property to solve problems.

C.1.c. Recognize that vertical angles are congruent and apply this property to solve problems.

C.2. Geometric Measurement: Students solve problems involving perimeter and area.

C.2.a. Solve problems involving the area and perimeter of regions in the plane bounded by line segments and circular arcs.

C.2.b. Solve problems involving the area of combined figures.

C.3. Transformations: Students understand and use the concept of scale drawings to enlarge or reduce two-dimensional plane figures.

C.3.a. Use the concept of scale factors when enlarging or reducing and recognize the invariance of shape.

C.3.b. Apply the understanding that enlargement or reduction by a scale factor leaves angle measures unchanged.

C.3.c. Identify similar figures and name corresponding parts.

ME.D. Algebra: Students use symbols to represent or model quantities, patterns, and relationships and use symbolic manipulation to evaluate expressions and solve equations. Students solve problems using symbols, tables, graphs, and verbal rules choosing the mos

D.1. Symbols and Expressions: Students create and evaluate expressions.

D.1.a. Create and evaluate expressions using integers.

D.1.b. Create and evaluate expressions using rational numbers.

D.2. Equations and Inequalities: Students understand and solve problems involving linear equations and know that a linear equation can be written in the form 0 = ax + b.

D.2.a. Solve equations of the form ax + b = c where a, b, and c are positive rational numbers or positive or negative integers.

D.2.b. Convert equations to 0 = ax + b form.

D.3. Functions and Relations: Students understand and use directly proportional relationships, y = kx.

D.3.a. Recognize directly proportional relationships by information in a table, graph, or formula.

D.3.b. Translate common directly proportional relationships into symbolic statements and graphs.

D.3.c. Interpret the slope and y-intercept of the graph of y = kx in terms of a given context.