# MATH 8TH

Reporting Category 1: Numbers, Operations, and Quantitative Reasoning – The student will demonstrate an understanding of numbers, operations, and quantitative reasoning.

(8.1) Number, operation, and quantitative reasoning. The student understands that different forms of numbers are appropriate for different situations. The student is expected to:

8.1 (A) Compare and order rational numbers in various forms including integers, percents, and positive and negative fractions and decimals. Readiness Standard (STAAR)

Rational and Irrational Numbers

Exponents, Factors and Fractions

8.1 (C) Approximate (mentally and with calculators) the value of irrational numbers as they arise from problem situations (such as p, O2). Supporting Standard (STAAR)

Rational and Irrational Numbers

Measurement, Perimeter, and Circumference

Exploring Area and Surface Area

Perimeter and area

8.1 (D) Express numbers in scientific notation, including negative exponents, in appropriate problem situations. Supporting Standard (STAAR)

Exponents, Factors and Fractions

Polynomials and Exponents

(8.2) Number, operation, and quantitative reasoning. The student selects and uses appropriate operations to solve problems and justify solutions. The student is expected to:

8.2 (B) Use appropriate operations to solve problems involving rational numbers in problem situations. Readiness Standard (STAAR)

Applying Percents

8.2 (D) Use multiplication by a given constant factor (including unit rate) to represent and solve problems involving proportional relationships including conversions between measurement systems. Supporting Standard (STAAR)

Numerical Proportions

Ratios, proportions and percents

Similarity and scale

Numbers and percents

Reporting Category 2: Patterns, Relationships, and Algebraic Reasoning – The student will demonstrate an understanding of patterns, relationships, and algebraic reasoning.

(8.3) Patterns, relationships, and algebraic thinking. The student identifies proportional or non-proportional linear relationships in problem situations and solves problems. The student is expected to:

8.3 (A) Compare and contrast proportional and non-proportional linear relationships. Supporting Standard (STAAR)

Introduction to Functions

Linear equations

Functions

8.3 (B) Estimate and find solutions to application problems involving percents and other proportional relationships such as similarity and rates. Readiness Standard (STAAR)

Applying Percents

(8.5) Patterns, relationships, and algebraic thinking. The student uses graphs, tables, and algebraic representations to make predictions and solve problems. The student is expected to:

8.5 (A) Predict, find, and justify solutions to application problems using appropriate tables, graphs, and algebraic equations. Readiness Standard (STAAR)

Algebraic Equations

8.5 (B) Find and evaluate an algebraic expression to determine any term in an arithmetic sequence (with a constant rate of change). Supporting Standard (STAAR)

Sequences

Reporting Category 3: Geometry and Spatial Reasoning – The student will demonstrate an understanding of geometry and spatial reasoning.

(8.6) Geometry and spatial reasoning. The student uses transformational geometry to develop spatial sense. The student is expected to:

8.6 (A) Generate similar figures using dilations including enlargements and reductions. Readiness Standard (STAAR)

Similarity and scale

(8.7) Geometry and spatial reasoning. The student uses geometry to model and describe the physical world. The student is expected to:

8.7 (D) Locate and name points on a coordinate plane using ordered pairs of rational numbers. Supporting Standard (STAAR)

Using graphs to analyze data

Reporting Category 4: Measurement – The student will demonstrate an understanding of the concepts and uses of measurement.

(8.10) Measurement. The student describes how changes in dimensions affect linear, area, and volume measures. The student is expected to:

8.10 (A) Describe the resulting effects on perimeter and area when dimensions of a shape are changed proportionally. Supporting Standard (STAAR)

Exploring Area and Surface Area

(8.8) Measurement. The student uses procedures to determine measures of three-dimensional figures. The student is expected to:

8.8 (A) Find lateral and total surface area of prisms, pyramids, and cylinders using concrete models and nets (two-dimensional models). Supporting Standard (STAAR)

Exploring Area and Surface Area

Three dimensional geometry/Measurement

(8.9) Measurement. The student uses indirect measurement to solve problems. The student is expected to:

8.9 (A) Use the Pythagorean Theorem to solve real-life problems. Readiness Standard (STAAR)

The Pythagorean Theorem

8.9 (B) Use proportional relationships in similar two-dimensional figures or similar three-dimensional figures to find missing measurements. Readiness Standard (STAAR)

Ratios, proportions and percents

Similarity and scale

Reporting Category 5: Probability and Statistics – The student will demonstrate an understanding of probability and statistics.

(8.11) Probability and statistics. The student applies concepts of theoretical and experimental probability to make predictions. The student is expected to:

8.11 (A) Find the probabilities of dependent and independent events. Readiness Standard (STAAR)

Using Probability

Theoretical probability and counting

(8.12) Probability and statistics. The student uses statistical procedures to describe data. The student is expected to:

8.12 (B) Draw conclusions and make predictions by analyzing trends in scatterplots. Supporting Standard (STAAR)

Analyzing, Graphing and Displaying Data

Using graphs to analyze data

Displaying data

8.12 (C) Select and use an appropriate representation for presenting and displaying relationships among collected data, including line plots, line graphs, stem and leaf plots, circle graphs, bar graphs, box and whisker plots, histograms, and Venn diagrams, with and without the use of technology. Supporting Standard (STAAR)

Using graphs to analyze data

(8.13) Probability and statistics. The student evaluates predictions and conclusions based on statistical data. The student is expected to:

8.13 (A) Evaluate methods of sampling to determine validity of an inference made from a set of data. Supporting Standard (STAAR)

Collecting and describing data

Experimental Probability

8.13 (B) Recognize misuses of graphical or numerical information and evaluate predictions and conclusions based on data analysis. Readiness Standard (STAAR)

Using graphs to analyze data

Underlying Processes and Mathematical Tools: These skills will not be listed under a separate recording category. Instead, they will be incorporated into at least 75% of the test questions in reporting categories 1-5 and will be identified along with content standards.

(8.14) Underlying processes and mathematical tools. The student applies Grade 8 mathematics to solve problems connected to everyday experiences, investigations in other disciplines, and activities in and outside of school. The student is expected to:

8.14 (A) Identify and apply mathematics to everyday experiences, to activities in and outside of school, with other disciplines, and with other mathematical topics. (STAAR)

Mathematical processes

8.14 (B) Use a problem-solving model that incorporates understanding the problem, making a plan, carrying out the plan, and evaluating the solution for reasonableness. (STAAR)

Mathematical processes

8.14 (C) Select or develop an appropriate problem-solving strategy from a variety of different types, including drawing a picture, looking for a pattern, systematic guessing and checking, acting it out, making a table, working a simpler problem, or working backwards to solve a problem. (STAAR)

Mathematical processes

(8.15) Underlying processes and mathematical tools. The student communicates about Grade 8 mathematics through informal and mathematical language, representations, and models. The student is expected to:

8.15 (A) Communicate mathematical ideas using language, efficient tools, appropriate units, and graphical, numerical, physical, or algebraic mathematical models. (STAAR)

Using Integers

Rational and Irrational Numbers

Decimal Operations

Exponents, Factors and Fractions

Fraction Operations

Numerical Proportions

Introduction to Percent

Applying Percents

Integer operations

Rational numbers and operations

Real numbers

Ratios, proportions and percents

Numbers and percents

Applications of percent

(8.16) Underlying processes and mathematical tools. The student uses logical reasoning to make conjectures and verify conclusions. The student is expected to:

8.16 (A) Make conjectures from patterns or sets of examples and nonexamples. (STAAR)

Mathematical processes

19 TAC Chapter 111. Texas Essential Knowledge and Skills for Mathematics

Subchapter B. Middle School