Mathematics Level 9

Mathematics Level 9 (Old LPSD Standards Follow in Bold)

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Prentice Hall Pre-Algebra Alignment to Level 9

Each of the following links drills down to a page with the specific standards indicated:

Understanding Numbers

MA 9.1 The student demonstrates understanding of real numbers MA 9.1

(9)N-1 Converting between a rational number in scientific notation and standard form (8.20)

(9)N-2 Equating different equivalent representations of the same exponential expression (10.4)

Understanding Meaning of Operations

MA 9.2 The student demonstrates conceptual understanding of mathematical operations MA 9.2

(9)N-3 Using models, explanations, number lines, real-life situations describing or illustrating the effects of arithmetic operations on real numbers (10.11)

(9)N-4 Using models, explanations, number lines, real-life situations describing, or illustrating the use of inverse operations (squaring/square root) (8.4, 8.10)

Number Theory

MA 9.3 The student demonstrates conceptual understanding of number theory MA 9.3

(9)N-5 Applying the rules for order of operations to real numbers and variables (8.11)

(9)N-6 Using distributive property with variables (10.2)

Measurable Attributes

MA 9.4 The student demonstrates understanding of measurable attributes MA 9.4

(9)MEA-1 Estimating or converting measurements between the English and metric systems in real-world applications, given a conversion factor (9.10, 10.10)

Measurement Techniques

MA 9.5 The student demonstrates ability to use measurement techniques MA 9.5

(9)MEA-2 Applying indirect methods, such as the Pythagorean Theorem to find missing dimensions in real-world applications (8.18, 10.17)

Estimation

MA 9.6 The student solves problems (including real-world situations) using estimation MA 9.6

(9)EC-1 Judging whether the strategy will result in an answer greater or less than the exact answer (10.26)

Computation

MA 9.7 The student accurately solves problems (including real-world situations) MA 9.7

(9)EC-2 Adding or subtracting rational numbers including integers with whole number exponents (10.11)

(9)EC-3 Multiplying or dividing rational numbers including integers with whole number exponents (9.2)

(9)EC-4 Determining rate by using ratio and proportion

(9)EC-5 Multiplying or dividing numbers in scientific notation

Describing Patterns and Functions

MA 9.8 The student demonstrates conceptual understanding of functions, patterns, or sequences including those represented in real-world situations MA 9.8

(9)FR-1 Describing or extending patterns (families of functions: linear, quadratic, absolute value) up to the nth term, represented in tables, sequences, graphs, or in problem situations (10.12)

(9)FR-2 Generalizing relationships (linear, quadratic, absolute value)) using a table of ordered pairs, a graph, or an equation

(9)FR-3 Describing in words how a change in one variable in a formula affects the remaining variables (e.g., how radius affects the volume of a cylinder) (9.3, 9.4, 10.14)

(9)FR-4 Using a calculator as a tool when describing, extending, representing, or graphing patterns or linear equations (9.2)

Modeling and Solving Equations and Inequalities

MA 9.9 The student demonstrates algebraic thinking MA 9.9

(9)FR-5 Modeling (graphically or algebraically) or solving situations (including real-world applications) using systems of linear equations (8.12)

(9)FR-6 Solving or identifying solutions to multi-step linear equations of the form ax +/- b = cx +/- d, where a, b, and c are rational numbers, and a ≠ 0, c ≠ 0 (10.8)

(9)FR-7 Solving literal equations or formulas for a variable involving one step (e.g., solve for t when d = rt) (10.1)

Geometric Relationships

MA 9.10 The student demonstrates an understanding of geometric relationships MA 9.10

(9)G-1 Identifying, analyzing, comparing, or using properties of angles (including supplementary or complementary) or circles (degrees in a circle)

Similarity, Congruence, Symmetry, and Transformation

MA 9.11 The student demonstrates conceptual understanding of similarity, congruence, symmetry, or transformations of shapes MA 9.11

(9)G-2 Using a coordinate plane to solve problems involving congruent or similar shapes (8.24)

(9)G-3 Drawing or describing he results of applying transformations (translations, rotation, reflections, or dilations) to figures on a coordinate plane (8.25)

Perimeter, Area, Volume, and Surface Area

MA 9.12 The student solves problems (including real-world situations) MA 9.12

(9)G-4 Determining the volume or surface area of prisms, cylinders, cones or pyramids (8.23, 10.3)

Position and Direction

MA 9.13 The student demonstrates understanding of position and direction when solving problems (including real-world situations) MA 9.13

(9)G-5 Graphing or identifying (using equations or formulas to determine the slope of line segments) on a coordinate plane (10.13)

Construction

MA 9.14 The student demonstrates a conceptual understanding of geometric drawings or constructions MA 9.14

(9)G-6 Drawing, measuring, or constructing geometric models of plane figures (contracting parallel and/or perpendicular lines) (10.13)

Data Display

MA 9.15 The student demonstrates an ability to classify and organize data MA 9.15

(9)SP-1 Designing, collecting, organizing, displaying, or explaining the classification of data in real-world problems (e.g., science or humanities, peers, community, or careers), using information from tables or graphs that display two sets of data or with technology (10.20)

Analysis and Central Tendency

MA 9.16 The student demonstrates an ability to analyze data (comparing, explaining, interpreting, evaluating, making predictions; drawing or justifying conclusions) MA 9.16

(9)SP-2 Using information from a variety of displays or analyzing the validity of statistical conclusions found in the media (10.21)

(9)SP-3 Using range and measures of central tendency to determine the best representation of the data for a practical situation (10.21)

(9)SP-4 Identifying and/or showing the meaning of a best fit line (10.16)

Probability

MA 9.17 The student demonstrates a conceptual understanding of probability and counting techniques MA 9.17

(9)SP-5 Determining or comparing the experimental and/or theoretical probability of independent or dependent events (10.24)

(9)SP-6 Making predictions about the probability of independent or dependent events and using the information to solve problems (10.25)

(9)SP-7 Designing, conducting, analyzing, and communicating the results of a probability experiment (10.25)

Problem-solving

MA 9.18 The student demonstrates an ability to problem solve MA 9.18

(9)PS-1 Selecting and modifying, and applying a variety of problem-solving strategies (e.g., charts, graphing, inductive and deductive reasoning, Venn diagrams) and verifying the results (10.18)

(9)PS-2 Evaluating, interpreting and justifying solutions to problems by using an alternative strategy (10.18)

Communication

MA 9.19 The student communicates his or her mathematical thinking MA 9.19

(9)PS-3 Representing mathematical problems numerically, graphically, and/or symbolically, translating among these alternative representations; or using appropriate vocabulary, symbols, or technology to explain, justify, and defend strategies and solutions (10.23)

Reasoning

MA 9.20 The student demonstrates an ability to use logic and reason MA 9.20

(9)PS-4 Following and evaluating an argument, judging its validity using inductive or deductive reasoning and logic; or making and testing conjectures (10.22)

Connections

MA 9.21 The student understands and applies mathematical skills and processes across the content strands MA 9.21

(9)PS-5 Using real world context such as science, humanities, peers, community, careers, and national issues