Unit 1

Introduction to Algebra

Semester 1, 16 days

0803.01 Use appropriate vocabulary.

Standard Reference
8.M.1.2.7

Performance Objective

Resource Reference

Assessment Correlation

01

Use, understand, and apply the appropriate vocabulary given specific mathematical concepts.

Ongoing (Ch. 1-11)

TMA, EOC

0803.02 Apply appropriate technology and models to find solutions to problems.

Standard Reference

Performance Objective

Resource Reference

Assessment Correlation

01

Use computer applications to display and manipulate data.

Ongoing (Ch. 1-11)

TMA, EOC

02

Select appropriate models to represent mathematical ideas.

Ongoing (Ch. 1-11)

TMA, EOC

03

Use calculator to display, manipulate, and compute data.

Ongoing (Ch. 5.9-11)

TMA, EOC

0803.03 Understand and use U.S. customary and metric measurements.

Standard Reference
8.M.2.1.1

Performance Objective

Resource Reference

Assessment Correlation

01

Illustrate the interrelationship of measurement units through dimensional analysis conversions.

Supplement extension

TMA

02

Convert both metric and customary units of measurement.

Supplement extension

TMA

03

Select and use appropriate units and tools to make formal measurements in both systems.

Supplement extension

TMA

0803.04 Understand and use the commutative, associative, identity, zero, inverse, distributive, and substitution properties.

Standard Reference
8.M.3.2.1

Performance Objective

Resource Reference

Assessment Correlation

01

Explain and use the commutative, associative, distributive, identity, and inverse properties to simplify and solve numerical expressions.

1-5,2-4

TMA, EOC

0803.05 Use a variety of methods such as words, numbers, symbols, charts, graphs, tables, diagrams, and models to explain mathematical reasoning and concepts.

Standard Reference

Performance Objective

Resource Reference

Assessment Correlation

01

Identify a problem that could be represented by a mathematical model.

1-8

TMA, EOC

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Unit 2

The Decimal System

Semester 1, 13 days

0803.06 Understand and use exponents.

Standard Reference
8.M.1.2.3

Performance Objective

Resource Reference

Assessment Correlation

01

Use the laws of exponents to simplify numerical expressions involving positive and negative integral exponents.

2-1, 2-5

TMA

0803.07 Simplify algebraic expressions.

Standard Reference
8.M.3.2.3

Performance Objective

Resource Reference

Assessment Correlation

01

Simplifying expressions using the order of operations.

2-5

TMA, EOC

0803.08 Make predictions and decisions based on information.

Standard Reference
8.M.1.3.1

Performance Objective

Resource Reference

Assessment Correlation

01

Determine the reasonableness of solutions to computation and word problems, choosing an appropriate method.

2-6

TMA, EOC

0803.09 Recognize when estimation is appropriate and understand the usefulness of an estimate as distinct from an exact answer.

Standard Reference
8.M.1.3.2

Performance Objective

Resource Reference

Assessment Correlation

01

Use estimation to predict computation results.

2-6

TMA, EOC

02

Determine whether a given estimate is an overestimate or underestimate.

2-6

TMA, EOC

03

Estimate and judge reasonableness of results.

2-6

TMA, EOC

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Unit 3

Positive and Negative Numbers

Semester 1, 18 days

0803.10 Read, write, order, and compare real numbers.

Standard Reference
8.M.1.1.1

Performance Objective

Resource Reference

Assessment Correlation

01

Identify or write a set of positive and negative rational numbers arranged in order from greatest to least or least to greatest.

3-1

TMA

02

Compare rational numbers using appropriate symbols.

3-1

TMA

03

Determine absolute value of one and two-digit integers.

3-1

TMA

0803.11 Add, subtract, multiply, and divide rational numbers.

Standard Reference
8.M.1.2.2

Performance Objective

Resource Reference

Assessment Correlation

01

Find the sum, difference, product, or quotient of positive and negative rational numbers.

3-3,3-4,3-5,3-6

TMA, EOC

0803.12 Evaluate numerical expressions using the order of operations.

Standard Reference
8.M.1.2.4

Performance Objective

Resource Reference

Assessment Correlation

01

Use the order of operations to simplify numerical expressions and solve number sentences involving positive and negative rational numbers.

3-4,3-5,3-6

TMA, EOC

0803.13 Understand and use the order of operations in evaluating basic algebraic expressions.

Standard Reference
8.M.3.3.2

Performance Objective

Resource Reference

Assessment Correlation

01

Use the correct order of operations to evaluate algebraic expressions including those containing positive and negative exponents.

3-5,3-6

TMA, EOC

0803.14 Show a sense of magnitudes and relative magnitudes using scientific notation and exponential notation.

Standard Reference
8.M1.1.4

Performance Objective

Resource Reference

Assessment Correlation

01

Identify or write numbers in expanded form using exponential notation.

3-7

TMA, EOC

02

Identify a number written in scientific notation and will convert numbers written in standard form or scientific notation interchangeably.

Ch. 3 enrichment

TMA, EOC

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Unit 4

Rational Numbers

Semester 1, 17 days

0803.15 Consistently and accurately add, subtract, multiply, and divide rational numbers.

Standard Reference
8.M.1.2.2

Performance Objective

Resource Reference

Assessment Correlation

01

Find the sum, difference, product, or quotient of positive and negative rational numbers.

4-1, 4-4,4-5,4-6

TMA, EOC

02

Find the solution to word problems that require the addition and subtraction of rational numbers.

4-4-,4-6

TMA, EOC

0803.16 Read, write, order, and compare real numbers and absolute value.

Standard Reference
8.M.1.1.1

Performance Objective

Resource Reference

Assessment Correlation

01

Identify or write a set of positive and negative rational numbers arranged in order from greatest to least or least to greatest.

4-1

TMA, EOC

02

Compare rational numbers using appropriate symbols.

4-1, 4-3

TMA, EOC

0803.17 Develop and apply number theory concepts.

Standard Reference
8.M.1.1.5

Performance Objective

Resource Reference

Assessment Correlation

01

Use prime factors to find greatest common factor of two or more whole numbers.

4-2

TMA, EOC

02

Use prime factors to find the least common multiple of two or more whole numbers

4-3

TMA, EOC

03

Identify prime numbers between one and a hundred

4-2

TMA, EOC

04

Write prime factors of a number.

4-2

TMA, EOC

05

Write the prime factorization of a standard numeral using exponents.

4-1, 4-2

TMA, EOC

0803.18 Instantly recall common equivalent fractions, decimals, and percents.

Standard Reference
8.M.1.2.1

Performance Objective

Resource Reference

Assessment Correlation

01

Convert decimals (terminating and repeating), fractions, or percents interchangeably.

4-2, 4-7

TMA, EOC

0803.19 Use symbols (<,>,=,,) to express relationships.

Standard Reference
8.M.3.1.3

Performance Objective

Resource Reference

Assessment Correlation

01

Compare rational numbers using appropriate symbols.

4-3

TMA, EOC

0803.20 Extend patterns and identify a function that generates the pattern using real numbers.

Standard Reference
8.M.3.4.1

Performance Objective

Resource Reference

Assessment Correlation

01

Find and/or extend a pattern involving multiples, squares, cubes, and reciprocals.

4-3, 4-6, 10-1

TMA, EOC

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Unit 5

Probability

Semester 1, 2 days

0803.21 Make predictions based on experimental and theoretical probabilities.

Standard Reference
8.M.5.5.1

Performance Objective

Resource Reference

Assessment Correlation

01

Demonstrate understanding of the prediction and counting of probable outcomes based on data.

11-1

TMA, EOC

0803.22 Conduct statistical experiments and interpret results using tables, charts, or graphs.

Standard Reference
8.M.5.5.2

Performance Objective

Resource Reference

Assessment Correlation

01

Distinguish between independent and dependent events and identify conditional probabilities.

11-5, 11-7

TMA, EOC

0803.23 Model situations of probability using simulations.

Standard Reference
8.M.5.4.1

Performance Objective

Resource Reference

Assessment Correlation

01

Determine the probability of the outcome of single or compound events and represent the probability as a fraction.

11-2

TMA, EOC

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Unit 6

Statistics

Semester 1, 5 days

0803.24 Collect, organize, and display data with appropriate notation in tables, charts, and graphs.

Standard Reference
8.M.5.2.1

Performance Objective

Resource Reference

Assessment Correlation

01

Create a graph, chart, or tables.

12-1, 12-2, 12-5, 12-6

TMA, EOC

0803.25 Analyze and interpret tables, charts, and graphs.

Standard Reference
8.M.5.1.1

Performance Objective

Resource Reference

Assessment Correlation

01

Interpret data given a chart or a table.

12-1, 12-2, 12-3, 12-5, 12-6

TMA, EOC

02

Interpret data given in a bar graph, circle graph, pictograph, or line graph.

12-1, 12-2, 12-3

TMA, EOC

0803.26 Explore the significance of range, frequency, and informal distribution.

Standard Reference
8.M.5.3.2

Performance Objective

Resource Reference

Assessment Correlation

01

Identify or generate the appropriate frequency distribution for a set of data.

12-3, 12-5, 12-6

TMA, EOC

0803.27 Choose and calculate the appropriate measure of central tendency – mean, median, and mode.

Standard Reference
8.M.5.3.1

Performance Objective

Resource Reference

Assessment Correlation

01

Compute mean, median, mode or range.

12-3

TMA, EOC

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Unit 7

Equatioons and Inequalities

Semester 2, 18 days

0803.28 Understand and use variables and expressions, equations, and inequalities.

Standard Reference
8.M.3.1.1

Performance Objective

Resource Reference

Assessment Correlation

01

Simplify or evaluate an equation with one or two variables.

5-1, 5-2, 5-3, 5-4, 5-5,

TMA, EOC

02

Simplify algebraic expressions, including the addition and subtraction of polynomials.

5-2, 5-3

TMA, EOC

0803.29 Solve one- and two-step equations and inequalities using inverse operations.

Standard Reference
8.M.3.3.1

Performance Objective

Resource Reference

Assessment Correlation

01

Identify correct operation and solve a simple equation or inequality using addition of rational numbers.

5-1, 5-3, 5-7

TMA, EOC

02

Identify correct operation and solve a simple equation or inequality using subtraction of rational numbers.

5-1, 5-3, 5-7

TMA, EOC

03

Identify correct operation and solve a simple equation or inequality using multiplication of rational numbers.

5-1, 5-4, 5-7

TMA, EOC

04

Identify correct operation and solve a simple equation or inequality using division of rational numbers.

5-1, 5-4, 5-7

TMA, EOC

05

Solve multiple step equations and inequalities with one variable.

5-1, 5-2, 5-5, 5-6, 5-7

TMA, EOC

06

Translate an algebraic expression or equation into an English phrase or sentence.

5-8, 5-9

TMA, EOC

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Unit 8

Geometry

Semester 2, 14 days

0803.30 Construct and measure various angles and shapes using appropriate tools.

Standard Reference
8.M.4.1.2

Performance Objective

Resource Reference

Assessment Correlation

01

Construct special geometric figures, including three-dimensional figures, figures drawn to a specified scale, and figures drawn on a coordinate grid to specified dimensions.

6-1, 6-2, 6-3, 6-4, 6-5, 6-6, 6-7

TMA, EOC

0803.31 Select and use appropriate units and tools to make formal measurements using both systems.

Standard Reference
8.M.2.1.1

Performance Objective

Resource Reference

Assessment Correlation

01

Use a ruler, compass, and/or protractor to solve measurement problems.

6-1, 6-2, 6-3, 6-4, 6-6

TMA, EOC

0803.32 Precisely describe, classify, and understand relationships among types of one-, two-, and three-dimensional objects using their defining properties.

Standard Reference
8.M.4.1.1

Performance Objective

Resource Reference

Assessment Correlation

01

Identify and describe two- and three-dimensional geometric figures, including pyramids, prisms, line segments, rays, and angles.

6-1, 6-2, 6-3, 6-4, 6-5, 6-6, 6-7

TMA, EOC

02

Use geometric terminology for figures and their parts.

Ongoing (Ch. 6 & 9)

TMA, EOC

0803.33 Apply formulas for perimeter, circumference, and area to polygons and circles.

Standard Reference
8.M.2.1.4

Performance Objective

Resource Reference

Assessment Correlation

01

Calculate the perimeter of a polygon or the circumference of a circle.

6-2, 6-8

TMA, EOC

02

Calculate the area of a polygon or circle.

9-1, 9-2, 9-3

TMA, EOC

03

Calculate area and circumference, given diameter or radius of a circle.

6-2, 9-3

TMA, EOC

0803.34 Understand and apply fundamental concepts, properties, and relationships among points, lines, planes, angles, and shapes.

Standard Reference
8.M.4.1.3

Performance Objective

Resource Reference

Assessment Correlation

01

Find the measure of a missing angles using knowledge of the properties of angles and of the angles within figures.

6-4, 6-5, 6-6, 6-7

TMA, EOC

0803.35 Explore and model the effects of reflections, translations, and rotations on various shapes.

Standard Reference
8.M.4.1.4

Performance Objective

Resource Reference

Assessment Correlation

01

Identify relationships between geometric figures and/or transformations of geometric figures.

6-7, 5-8, 6-9, 10-5

TMA, EOC

02

Identify congruence, similarities, and lien symmetry of shapes.

6-9

TMA, EOC

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Unit 9

Ratio, Proportion, and Percent

Semester 2, 16 days

0803.36 Understand and use proportions, ratios, and scales.

Standard Reference
8.M.2.2.1

Performance Objective

Resource Reference

Assessment Correlation

01

Identify an equivalent expression and/or identify the terms for a ratio or a proportion.

7-1

TMA, EOC

02

Use ratios to solve word problems.

7-1, 7-2

TMA, EOC

03

Use proportions to solve word problems.

7-1, 7-2, 7-8

TMA, EOC

0803.37 Use rates to make indirect measurements

Standard Reference
8.M.2.2.1

Performance Objective

Resource Reference

Assessment Correlation

01

Use formulas and appropriate procedures of solving measurement problems.

7-2

TMA, EOC

0803.38 Instantly recall common equivalent fractions, decimals, and percents.

Standard Reference
8.M.1.2.1

Performance Objective

Resource Reference

Assessment Correlation

01

Convert decimals (terminating and repeating), fractions, and percents interchangeably.

7-4

TMA, EOC

0803.39 Use a variety of strategies including common mathematical formulas to compute problems drawn from real-world situations.

Standard Reference
8.M.1.2.6

Performance Objective

Resource Reference

Assessment Correlation

01

Calculate the solutions to number problems using percent.

7-4, 7-5, 7-6, 7-8

TMA, EOC

02

Use percents to solve work problems.

7-5, 7-6, 7-5

TMA, EOC

03

Solve word problems that require converting percents, decimals, or fractions to another form.

7-4, 7-6, 7-8

TMA, EOC

04

Use a problem-solving model to develop and apply problem-solving strategies.

2-6, 7-4, 7-5, 7-6, 7-8

TMA, EOC

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Unit 10

The Coordinate Plan

Semester 2, 9 days

0803.40 Explore graphical representation to show simple linear equations.

Standard Reference
8.M.3.3.2, 8.M.3.5.1

Performance Objective

Resource Reference

Assessment Correlation

01

Identify the coordinates of points or plot points given the coordinates on a four quadrant coordinate plane.

8-1

TMA, EOC

02

Graph a linear function of one or two variables.

8-2, 8-3

TMA, EOC

03

Determine the slope and x- and y-intercepts of a line from a graph or a table of values.

8-3

TMA, EOC

0803.41 Use functional relationships to explain how a change in one quantity results in a change in another.

Standard Reference
8.M.3.4.2

Performance Objective

Resource Reference

Assessment Correlation

01

Identify and/or apply the function rule that represents the relationship of a set of number containing related pairs.

8-2

TMA, EOC

02

Complete an incomplete function table by finding the rule and the missing value(s).

8-2

TMA, EOC

03

Determine the domain or range of a function.

8-2

TMA, EOC

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Unit 11

Areas and Volumes

Semester 2, 12 days

0803.42 Understand the concept of surface area and volume.

Standard Reference
8.M.4.1.6

Performance Objective

Resource Reference

Assessment Correlation

01

Calculate the surface area of a rectangular prism, triangular prism, or cylinder.

9-7

TMA, EOC

02

Calculate the volume of a rectangular prism, triangular prism, or cylinder.

9-5

TMA, EOC

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Unit 12

Square Roots and Right Triangles

Semester 2, 10 days

0803.43 Understand and use real numbers both rational and irrational.

Standard Reference
8.M.1.1.2

Performance Objective

Resource Reference

Assessment Correlation

01

Determine the square root of a perfect or nonperfect square using a chart, a calculator, or computation.

10-1, 10-2

TMA, EOC

02

Estimate the whole number nearest the square root of a number that has an irrational square root.

10-2

TMA, EOC

0803.44 Investigate right triangle in geometry using the Pythagorean Theorem.

Standard Reference
8.M.3.5.1

Performance Objective

Resource Reference

Assessment Correlation

01

Use the Pythagorean Theorem to solve problems involving geometric figures.

10-410-3

TMA, EOC

0803.45 Recognize and apply congruence, similarities, and symmetry of shapes.

Standard Reference
8.M.4.1.5

Performance Objective

Resource Reference

Assessment Correlation

01

Find the ratio of two similar polygons given the length of the sides.

10-5

TMA, EOC