Correlation by State

Maryland: Voluntary State Curriculum - Grade 7

1.0. Knowledge of Algebra, Patterns, or Functions: Students will algebraically represent, model, analyze, or solve mathematical or real-world problems involving patterns or functional relationships.

A. Patterns and Functions

1. Identify, describe, extend, and create linear patterns and functions

a. Identify and extend an arithmetic sequence represented as a function table. Assessment Limit: Complete a function table with a given rule with two operations (+, -, x) using whole numbers no more than 20 in the rule (0 - 500)

Arithmetic and Geometric Series

b. Identify and extend a geometric sequence

Arithmetic and Geometric Series

c. Describe how a change in one variable in a linear function affects the other variable in a table of values

Using Tables, Rules and Graphs

B. Expressions, Equations, and Inequalities

1. Write and evaluate expressions

a. Write an algebraic expression to represent unknown quantities. Assessment Limit: Use one unknown and one or two operations (+, -, x, ÷ with no remainders) with whole numbers (0 - 20), fractions with denominators as factors of 100 (0- 20), or decimals with no more than three decimal places (0 - 20)

Using Algebraic Expressions

b. Evaluate algebraic expressions. Assessment Limit: Use one unknown and no more than two operations (+, -, x, ÷ with no remainders) with whole numbers (0 - 200), fractions with denominators as factors of 100 (0 - 100), or decimals with no more than three decimal places (0 - 100)

Modeling and Solving Two-Step Equations

Solving Two-Step Equations

c. Evaluate numeric expressions using the order of operations. Assessment Limit: Use no more than 4 operations (+, -, x, ÷ with no remainders) and 1 set of parentheses, brackets, or a division bar, with whole numbers (0 - 200), fractions with denominators as factors of 100 (0 - 100), or decimals with no more than three decimal places (0 - 100)

Order of Operations

d. Simplify algebraic expressions represented as physical models by combining like terms

Modeling and Solving Two-Step Equations

2. Identify, write, solve, and apply equations and inequalities

a. Write equations and inequalities to represent relationships. Assessment Limit: Use a variable, the appropriate relational symbols (>, >=, <, <=, =), and one or two operational symbols (+,-,×,÷) on either side and use whole numbers (0 - 20), fractions with denominators as factors of 100 (0 - 20), or decimals with no more than three decimal places (0 - 20)

Using Algebraic Expressions

Solving Inequalities Using Multiplication and Division

b. Determine the unknown in a linear equation. Assessment Limit: Use one or two operations (+, -, ×) and the unknown only once with whole numbers (0 - 500), fractions with denominators as factors of 100 (0 - 50), or decimals with no more than three decimal places (0 - 100)

Solving Equations with Decimals

c. Solve for the unknown in an inequality. Assessment Limit: Use an inequality with one variable with a positive whole number coefficient and one operation (+, -, ×, ÷ with no remainders) using whole numbers or decimals with no more than 2 decimal places (0 - 100)

Solving Inequalities Using Multiplication and Division

Solving Linear Inequalities using Addition and Subtraction

d. Identify or graph solutions of inequalities on a number line. Assessment Limit: Use whole numbers (0 - 50)

Solving Inequalities Using Multiplication and Division

Solving Linear Inequalities using Addition and Subtraction

e. Identify equivalent equations. Assessment Limit: Use formulas having no more than three variables and up to two operations, with whole numbers (0 -100), fractions with denominators as factors of 100 (0 - 100), or decimals with no more than three decimal places (0 - 100)

Solving Formulas for any Variable

C. Numeric and Graphic Representations of Relationships

1. Locate points on a number line and in a coordinate graph

a. Graph rational numbers on a number line. Assessment Limit: Use rational numbers (-100 to 100)

Real Number Line - Activity A

b. Graph ordered pairs in a coordinate plane. Assessment Limit: Use no more than 4 ordered pairs of rational numbers (-20 to 20)

Points in the Coordinate Plane - Activity A

c. Graph linear equations with one operation in a coordinate plane

Using Tables, Rules and Graphs

2. Analyze linear relationships

a. Identify and describe the change represented in a table of values. Assessment Limit: Identify increase, decrease, or no change

Using Tables, Rules and Graphs

b. Describe the rate of change of a linear relationship by a table of values and a graph

Using Tables, Rules and Graphs

2.0. Knowledge of Geometry: Students will apply the properties of one-, two, or three-dimensional geometric figures to describe, reason, or solve problems about shape, size, position, or motion of objects.

A. Plane Geometric Figures

1. Analyze the properties of plane geometric figures

a. Identify and describe angles formed by intersecting lines, line segments, and rays. Assessment Limit: Use vertical, adjacent, complementary, or supplementary angles (Include the angle symbol < m)

Investigating Angle Theorems - Activity A

b. Identify angles formed when two parallel lines are cut by a transversal

Investigating Angle Theorems - Activity A

c. Identify the parts of right triangles

Sine and Cosine Ratios - Activity A

2. Analyze geometric relationships

a. Determine a missing angle measure using the sum of the interior angles of polygons. Assessment Limit: Use angle measures in a quadrilateral

Polygon Angle Sum - Activity A

b. Determine the measure of angles formed by intersecting lines, line segments, and rays. Assessment Limit: Use vertical, adjacent, complementary, or supplementary angles

Investigating Angle Theorems - Activity A

c. Describe the relationship between the legs and hypotenuse of right triangles

Sine and Cosine Ratios - Activity A

B. Representation of Geometric Figures

1. Represent plane geometric figures

b. Construct geometric figures using a variety of construction tools.. Assessment Limit: Construct a line segment congruent to a given line segment

Constructing Congruent Segments and Angles

c. Construct geometric figures using a variety of construction tools. Assessment Limit: Construct a perpendicular bisector to a given line segment or a bisector of a given angle

Construct Parallel and Perpendicular Lines

C. Congruence

1. Apply the properties of congruent polygons

a. Determine the congruent parts of polygons. Assessment Limit: Use the length of corresponding sides or the measure of corresponding angles and whole numbers (0 - 1000)

Classifying Quadrilaterals - Activity A

b. Identify and describe similar polygons and their corresponding parts

Similar Polygons

D. Transformations

1. Analyze a transformation on a coordinate plane

a. Identify, describe, and plot the results of one transformation on a coordinate plane. Assessment Limit: Identify and plot the result of one translation (horizontal or vertical), reflection (horizontal or vertical), or rotation (90° or 180°) about a given point

Rotations, Reflections and Translations

b. Identify and describe transformations that result in rotational and reflectional symmetry

Rotations, Reflections and Translations

3.0. Knowledge of Measurement: Students will identify attributes, units, or systems of measurements or apply a variety of techniques, formulas, tools or technology for determining measurements.

A. Applications in Measurement

1. Estimate and apply measurement formulas

a. Estimate and determine the area of quadrilaterals. Assessment Limit: Use parallelograms or trapezoids and whole number dimensions (0 - 1000)

Area of Parallelograms - Activity A

Classifying Quadrilaterals - Activity A

b. Determine the surface area of geometric solids. Assessment Limit: Use rectangular prisms with whole number dimensions (0 - 1000)

Prisms and Cylinders - Activity A

c. Estimate pi using physical models

Circle: Perimeter, Circumference and Area

d. Estimate and determine the volume of a triangular prism

Prisms and Cylinders - Activity A

2. Analyze measurement relationships

4.0. Knowledge of Statistics: Students will collect, organize, display, analyze, or interpret data to make decisions or predictions.

A. Data Displays

1. Organize and display data

a. Organize and display data using back-to-back stem & leaf plots. Assessment Limit: Use no more than 20 data points using whole numbers (0 - 100)

Stem-and-Leaf Plots

B. Data Analysis

1. Analyze data

a. Recognize misuses of data. Assessment Limit: Use whether the choice of graphical display or the scale leads to faulty interpretation or representation of data

Histograms

b. Analyze misleading data representation

Histograms

2. Describe a set of data

a. Compare measures of central tendency (mean, median, mode) to determine which is most appropriate. Assessment Limit: Use no more than 10 pieces of data using whole numbers or decimals with no more than 2 decimal places (0 - 100)

Mean, Median and Mode

5.0. Knowledge of Probability: Students will use experimental methods or theoretical reasoning to determine probabilities to make predictions or solve problems about events whose outcomes involve random variation.

A. Sample Space

1. Identify a sample space

a. Determine the number of outcomes. Assessment Limit: Use no more than 3 independent events with a sample space of no more than 6 outcomes in each event.

Compound Independent Events

B. Theoretical Probability

1. Determine the probability of one simple event comprised of equally likely outcomes

a. Express the probability of an event as a fraction, a decimal, or a percent. Assessment Limit: Use a sample space of no more than 35 outcomes

Compound Independent Events

Part:Part and Part:Whole Ratios

Theoretical and Experimental Probability

C. Experimental Probability

1. Analyze the results of a survey or simulation

Theoretical and Experimental Probability

2. Conduct a probability experiment

Theoretical and Experimental Probability

3. Compare results of theoretical probability and experimental probability

Theoretical and Experimental Probability

4. Describe the difference between theoretical and experimental probability

Theoretical and Experimental Probability

6.0. Knowledge of Number Relationships or Computation: Students will describe, represent, or apply numbers or their relationships or will estimate or compute using mental strategies, paper/pencil or technology.

A. Knowledge of Number and Place Value

1. Apply knowledge of rational numbers and place value

a. Read, write, and represent whole numbers. Assessment Limit: Use exponential notation with bases no more than 12 and exponents no more than 3, or in standard form (0 - 1000)

Comparing and Ordering Integers

b. Express decimals using expanded form. Assessment Limit: Use decimals with no more than 4 decimal places (0 - 100)

Number Systems

c. Determine equivalent forms of rational numbers expressed as fractions, decimal, percents, and ratios. Assessment Limit: Use positive rational numbers (0 - 100)

Percents, Fractions and Decimals

d. Compare, order, and describe rational numbers with or without relational symbols (<, >, =). Assessment Limit: Use no more than 4 fractions with denominators that are factors of 300 that are less than 101, decimals with no more than 4 decimal places, percents or integers (0 - 100)

Comparing and Ordering Rational Numbers

B. Number Computation

1. Analyze number relations and compute

a. Add, subtract, multiply, and divide integers. Assessment Limit: Use one operation (-100 to 100)

Adding and Subtracting Integers

b. Add, subtract, and multiply positive fractions and mixed numbers. Assessment Limit: Use no more than 2 operations and positive fractions or mixed numbers with denominators as factors of 300 less than 101 (0 - 2000)

Fractions with Unlike Denominators

Multiplying Fractions

Multiplying Mixed Numbers

c. Divide fractions and mixed numbers

Dividing Fractions

Dividing Mixed Numbers

d. Calculate powers of integers and square roots of perfect square whole numbers. Assessment Limit: Use no more than 3 exponents for integers (-10 to 20) or square roots of perfect square whole numbers (0 - 100)

Ordering and Approximating Square Roots

e. Use the laws of exponents to simplify expressions. Assessment Limit: Use the rules of exponents (power times power or power divided by power) with the same whole number base (0 - 100) and exponents (0 - 10)

Exponents and Power Rules

f. Identify and use the properties of addition and multiplication to simplify expressions. Assessment Limit: Use the commutative property of addition or multiplication, associative property of addition or multiplication, additive inverse property, the distributive property, or the identity property for one or zero with whole numbers (0 - 100)

Solving Two-Step Equations

g. Determine percent of a number

Percents and Proportions

2. Estimation

a. Determine approximate sums, differences, products, and quotients. Assessment Limit: Use no more than 3 positive rational numbers (0 - 1000)

Estimating Sums and Differences

3. Analyze ratios, proportions, or percents

a. Determine equivalent ratios. Assessment Limit: Use denominators as factors of 300 but less than 101 and whole numbers (0-100)

Part:Part and Part:Whole Ratios

b. Determine or use ratios, unit rates, and percents in the context of a problem. Assessment Limit: Use whole numbers (0-1000)

Percents, Fractions and Decimals

c. Determine rate of increase and decrease, discounts, simple interest, commission, sales tax

Percent of Change

d. Determine percent of a number

Percents and Proportions

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