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Dallas School District
K-12 Curriculum
Middle School Mathematics - Grade 6
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The Algebraic Concepts Unit includes Competencies/Objectives which focus on algebraic equations and operations. This unit includes studying number systems, operations, and forms. Students explore the symbolic nature of algebraic concepts by identifying and extending patterns in algebra, by following algebraic procedures, and by proving theorems with properties.
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Order of Operations: Applying Rules
The learner will be able to
calculate the value of expressions involving grouping symbols.
| Strand |
Source |
| Order of Operations |
PA: Academic Standards, January 16, 1999, Grade 8, p.4,2.2.8.A (back mapped) |
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Order of Operations: Simplify
The learner will be able to
simplify numeric expressions involving order of operations.
| Strand |
Source |
| Order of Operations |
PA: Academic Standards, January 16, 1999, Grade 8, p.2,2.1.8.B (back mapped) |
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Equations: Choose/Apply
The learner will be able to
solve one step equations.
| Strand |
Source |
| Equations |
PA: Academic Standards, January 16, 1999, Grade 8, p.13,2.8.8.E (back mapped) |
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Equations: Solve/Graph
The learner will be able to
use scientific and graphing calculators and computer spreadsheets to solve and graph equations and inequalities.
| Strand |
Source |
| Equations |
PA: Academic Standards, January 16, 1999, Grade 8, p.13,2.8.8.F |
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Equations: Unknown Quantities
The learner will be able to
identify inverse relationships between addition, subtraction, multipliction and division to solve equations.
| Strand |
Source |
| Equations |
PA: Academic Standards, January 16, 1999, Grade 8, p.2,2.1.8.G (back mapped) |
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Inequalities: Interpret
The learner will be able to
interpret inequalities using tables and graphs as tools.
| Strand |
Source |
| Inequalities |
PA: System of School Assessment, 1997, Grade 8, p.12,#5 week tested: 30. |
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Operations: Analyzing
The learner will be able to
demonstrate an understanding of the effect of operations on real and complex numbers, algebraic expressions, matrices, and vectors, by applying operations appropriately in problem solving.
| Strand |
Source |
| Operations |
PA: System of School Assessment, 1997, Grade 8, p.12,#5 week tested: 30. |
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Algebraic Concepts: Explain
The learner will be able to
compare rates of change in real life situations.
| Strand |
Source |
| Algebraic Concepts |
PA: Academic Standards, January 16, 1999, Grade 8, p.19,2.11.8.B (back mapped) |
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Algebraic Concepts: Create/Interpret
The learner will be able to
create and interpret expressions, equations, or inequalities that illustrate problem scenarios.
| Strand |
Source |
| Algebraic Concepts |
PA: Academic Standards, January 16, 1999, Grade 8, p.13,2.8.8.C |
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Algebraic Concepts: Manipulatives
The learner will be able to
use manipulatives to represent algebraic concepts.
| Strand |
Source |
| Algebraic Concepts |
PA: Academic Standards, January 16, 1999, Grade 8, p.13,2.8.8.D |
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Algorithms: Create/Use/Describe
The learner will be able to
construct, use and explain algorithmic procedures for computing and estimating with whole numbers, fractions and decimals.
| Strand |
Source |
| Algorithms |
PA: Academic Standards, January 16, 1999, Grade 8, p.7,2.4.8.D (back mapped) |
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Inequalities: Real World
The learner will be able to
solve real world problems with inequalities.
| Strand |
Source |
| Inequalities |
PA: System of School Assessment, 1997, Grade 8, p.12,#5 week tested: 30. |
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Expressions: Simplify/Exponents
The learner will be able to
simplify expressions that involve exponents.
| Strand |
Source |
| Expressions |
PA: Academic Standards, January 16, 1999, Grade 8, p.2,2.1.8.E |
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Expressions: Expand
The learner will be able to
write numbers in expanded and exponential form.
| Strand |
Source |
| Expressions |
PA: Academic Standards, January 16, 1999, Grade 8, p.2,2.1.8.E (back mapped) |
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Variable
The learner will be able to
understand the basic concept of a variable as representing an unknown quantity.
| Strand |
Source |
| Variable |
PA: System of School Assessment, 1997, Grade 8, p.12,#5 week tested: 30. |
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Variable: Solving For
The learner will be able to
manipulate a given formula to solve for a specific variable.
| Strand |
Source |
| Variable |
PA: System of School Assessment, 1997, Grade 8, p.12,#5 week tested: 30. |
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Equality: Relationships
The learner will be able to
demonstrate that an equality relationship between two quantities stays the same when changes are made as long as the change is made to both quantities.
| Strand |
Source |
| Equality/Inequality |
PA: Academic Standards, January 16, 1999, Grade 8, p.14,2.8.8.J |
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The Data Interpretation Unit includes Competencies/Objectives which focus on the study and use of graphical forms. The Data Interpretation Unit includes data collection and classification, organization and display of data, logical reasoning and problem solving.
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Data Display: Stem-and-Leaf
The learner will be able to
interpret data using pictures, tallies, tables, charts, bar graphs and circle graphs.
| Strand |
Source |
| Stem-and-Leaf/Box-and-Whisker Plots |
PA: Academic Standards, January 16, 1999, Grade 8, p.9,2.6.8.E (back mapped) |
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Data Display: Box-and-Whisker
The learner will be able to
interpret data using pictures, tallies, tables, charts, bar graphs, and circle graphs.
| Strand |
Source |
| Stem-and-Leaf/Box-and-Whisker Plots |
PA: Academic Standards, January 16, 1999, Grade 8, p.9,2.6.8.E (back mapped) |
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Graphs: Stem-and-Leaf Graphs
The learner will be able to
interpret data using pictures, tallies, tables, charts, bar graphs and circle graphs.
| Strand |
Source |
| Stem-and-Leaf/Box-and-Whisker Plots |
PA: Academic Standards, January 16, 1999, Grade 8, p.9,2.6.8.E (back mapped) |
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Graphs: Box and Whisker Graphs/Interpret
The learner will be able to
interpret data using pictures, tallies, tables, charts, bar graphs, and circle graphs.
| Strand |
Source |
| Stem-and-Leaf/Box-and-Whisker Plots |
PA: Academic Standards, January 16, 1999, Grade 8, p.9,2.6.8.E (back mapped) |
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The Decimals Unit includes Competencies/Objectives which focus on number sense and operations with decimals. The Decimals Unit includes comparison, computing, money, estimation, problem solving and reasoning.
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Decimal Notation
The learner will be able to
identify and use decimal notation.
| Strand |
Source |
| Decimals |
PA: System of School Assessment, 1997, Grade 8, p.11,#1 week tested: 30. (back mapped) |
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The Fractions Unit includes Competencies/Objectives which focus on number sense and operations with fractions. The Fractions Unit includes comparison, ordering, fractions parts, estimation, reasoning and problem solving.
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Fraction Notation
The learner will be able to
evaluate fraction notation in context as part of a whole, in division, or as a ratio.
| Strand |
Source |
| Fractions |
PA: System of School Assessment, 1997, Grade 8, p.11,#1 week tested: 30. (back mapped) |
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Problem Solving: Fractions
The learner will be able to
apply fraction representations to solve real-world problems.
| Strand |
Source |
| Problem Solving |
PA: System of School Assessment, 1997, Grade 8, p.11,#1 week tested: 30. (back mapped) |
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The Functions Unit includes exploring polynomial, rational, exponential, logarithmic, trigonometric, and circular functions.
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Functional Relationships: Analyze
The learner will be able to
analyze functional relationships to describe how a change in one quantity results in a change in another.
| Strand |
Source |
| Functional Relationships |
PA: Academic Standards, January 16, 1999, Grade 8, p.14,2.8.8.J |
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Functions: Graph
The learner will be able to
plot, describe and interpret points on a coordinate plane.
| Strand |
Source |
| Graphing Functions |
PA: Academic Standards, January 16, 1999, Grade 8, p.14,2.8.8.I (back mapped) |
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Graping Functions: Table
The learner will be able to
create a table from a function.
| Strand |
Source |
| Graphing Functions |
PA: Academic Standards, January 16, 1999, Grade 8, p.14,2.8.8.I |
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Graphing: Study/Maximum/Minimum
The learner will be able to
identify least and greatest values represented in a variety of graphs.
| Strand |
Source |
| Graphing Functions |
PA: Academic Standards, January 16, 1999, Grade 8, p.19,2.11.8.A (back mapped) |
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The Geometry Unit includes Competencies/Objectives which focus on exploring geometric concepts from multiple perspectives. The Geometry Unit includes properties and construction of figures, proofs and theorems, history of geometry, transformations, logic, and problem solving.
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Figures: Visualizing
The learner will be able to
listen to a scenario involving specific geometric figures, visualize the figures, and draw or construct the figures in a transformed state (as the scenario dictates).
| Strand |
Source |
| Figures |
PA: System of School Assessment, 1997, Grade 8, p.11,#3 week tested: 30. |
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Figures: Problem Solving
The learner will be able to
form descriptions and/or obtain solutions to problems that involve the intersection of geometric figures.
| Strand |
Source |
| Figures |
PA: System of School Assessment, 1997, Grade 8, p.11,#3 week tested: 30. |
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Figures: Recognize/Name/Draw/List
The learner will be able to
demonstrate the relationship between 2 and 3-D representations of a figure. identify cubes and rectangular prisms.
| Strand |
Source |
| Figures |
PA: Academic Standards, January 16, 1999, Grade 8, p.16,2.9.8.D (back mapped) |
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Congruent/Similar: Exploring Figures
The learner will be able to
explore concepts of both congruent and similar figures.
| Strand |
Source |
| Congruence/Similarity/Symmetry |
PA: System of School Assessment, 1997, Grade 8, p.11,#3 week tested: 30. |
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Angles: Draw/Measure/Label/List
The learner will be able to
identify and classify properties of angles.
| Strand |
Source |
| Angles |
PA: Academic Standards, January 16, 1999, Grade 8, p.16,2.9.8.B (back mapped) |
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Logic: Create Arguments
The learner will be able to
identify if...then statements to test simple valid arguments.
| Strand |
Source |
| Logic |
PA: Academic Standards, January 16, 1999, Grade 8, p.7,2.4.8.C (back mapped) |
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Constructions: Figures
The learner will be able to
draw, label, name and describe points, lines and planes and their relationships.
| Strand |
Source |
| Constructions |
PA: Academic Standards, January 16, 1999, Grade 8, p.16,2.9.8.A (back mapped) |
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Problem Solving: Geometric Properties
The learner will be able to
apply geometric properties to solve problems.
| Strand |
Source |
| Problem Solving |
PA: System of School Assessment, 1997, Grade 8, p.11,#3 week tested: 30. |
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Problem Solving: Relationships
The learner will be able to
make connections and determine relationships between geometry concepts in order to solve problems.
| Strand |
Source |
| Problem Solving |
PA: System of School Assessment, 1997, Grade 8, p.11,#3 week tested: 30. |
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Figures: Classify/Criterion
The learner will be able to
use a given criterion to classify figures.
| Strand |
Source |
| Figures: Classify |
PA: System of School Assessment, 1997, Grade 8, p.11,#3 week tested: 30. (back mapped) |
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Figures: Describing
The learner will be able to
describe object shapes.
| Strand |
Source |
| Figures: Describe |
PA: System of School Assessment, 1997, Grade 8, p.11,#3 week tested: 30. (back mapped) |
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Figures: Comparison
The learner will be able to
compare the properties of two and three dimensional shapes.
| Strand |
Source |
| Figures |
PA: System of School Assessment, 1997, Grade 8, p.11,#3 week tested: 30. (back mapped) |
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Congruence/Similarity: Polygons
The learner will be able to
explain why polygons may be classified as similar, congruent, or neither.
| Strand |
Source |
| Congruence/Similarity/Symmetry |
PA: Academic Standards, January 16, 1999, Grade 8, p.16,2.9.8.F |
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Congruence/Similarity: Classification
The learner will be able to
classify figures by congruence and/or similarity.
| Strand |
Source |
| Congruence/Similarity/Symmetry |
PA: Academic Standards, January 16, 1999, Grade 8, p.17,2.9.8.K |
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Lines: Construct/Parallel
The learner will be able to
use a compass and a straightedge to construct parallel lines.
| Strand |
Source |
| Lines |
PA: Academic Standards, January 16, 1999, Grade 8, p.16,2.9.8.E |
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Lines: Draw/Transversal
The learner will be able to
draw a transversal.
| Strand |
Source |
| Lines |
PA: Academic Standards, January 16, 1999, Grade 8, p.16,2.9.8.E |
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Angles: Compare
The learner will be able to
compare angles.
| Strand |
Source |
| Angles |
PA: Academic Standards, January 16, 1999, Grade 8, p.16,2.9.8.E |
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Angles: Measuring
The learner will be able to
measure angles.
| Strand |
Source |
| Angles |
PA: Academic Standards, January 16, 1999, Grade 8, p.16,2.9.8.E |
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Angles: Congruent
The learner will be able to
identify congruent angles.
| Strand |
Source |
| Angles |
PA: System of School Assessment, 1997, Grade 8, p.11,#3 week tested: 30. |
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Circles: Pi
The learner will be able to
use experimentation to estimate the value of pi.
| Strand |
Source |
| Circles |
PA: Academic Standards, January 16, 1999, Grade 8, p.17,2.9.8.G |
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Transformation: Create/Rotation
The learner will be able to
create, through rotation and the use of simple geometric figures, transformational figures in three dimensions.
| Strand |
Source |
| Transformations |
PA: Academic Standards, January 16, 1999, Grade 8, p.17,2.9.8.H |
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Transformation: Create/Software
The learner will be able to
use computer software to create transformations.
| Strand |
Source |
| Transformations |
PA: Academic Standards, January 16, 1999, Grade 8, p.17,2.9.8.I |
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Tesselations: Representations
The learner will be able to
study objects to identify whether they represent tessellations.
| Strand |
Source |
| Tessellations |
PA: Academic Standards, January 16, 1999, Grade 8, p.17,2.9.8.K |
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Inductive/Deductive Reasoning: Identify
The learner will be able to
apply inductive reasoning to reach a conclusion.
| Strand |
Source |
| Reasoning |
PA: Academic Standards, January 16, 1999, Grade 8, p.7,2.4.8.E (back mapped) |
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Symmetry
The learner will be able to
determine if a given shape is symmetrical.
| Strand |
Source |
| Symmetry |
PA: Academic Standards, January 16, 1999, Grade 8, p.17,2.9.8.K |
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Polygons: Classify
The learner will be able to
identify triangles, quadrilaterals, other polygons and circles.
| Strand |
Source |
| Polygons |
PA: Academic Standards, January 16, 1999, Grade 8, p.16,2.9.8.C (back mapped) |
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The Integers Unit includes Competencies/Objectives which focus on number sense and operations with integers. This unit includes comparing integers, performing operations with integers, converting integers to other number forms, using manipulatives to demonstrate integers, and solving problems with integers in real-world contexts.
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Problem Solving: Integers
The learner will be able to
solve both mathematical and real-world problems by applying concepts of and operations with integer numbers.
| Strand |
Source |
| Problem Solving |
PA: System of School Assessment, 1997, Grade 8, p.11,#1 week tested: 30. |
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Integers: Number Lines
The learner will be able to
interpret real-world scenarios involving integers presented on number lines.
| Strand |
Source |
| Integers |
PA: Academic Standards, January 16, 1999, Grade 8, p.2,2.1.8.F (back mapped) |
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The Mathematics Processes Unit focuses on mathematical connections, communication, modeling, concepts and procedures.
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Reasoning: Conjecture
The learner will be able to
identify ad test conjectures.
| Strand |
Source |
| Reasoning |
PA: Academic Standards, January 16, 1999, Grade 8, p.7,2.4.8.A (back mapped) |
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Relationships: Conclusion
The learner will be able to
combine whole number relationships to arrive at a conclusion.
| Strand |
Source |
| Relationships |
PA: Academic Standards, January 16, 1999, Grade 8, p.7,2.4.8.B (back mapped) |
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The Measurement Unit includes Competencies/Objectives which focus on measurement concepts, applications, and analysis. The Measurement Unit includes concepts of length, area, circumference, perimeter, volume, weight, formulas, distance, calendar, money, tools, accuracy, units, constructions, patterns and problem solving.
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Units: Tools
The learner will be able to
choose the most suitable tools and units in problem solving situations that may require estimation and measurement, and relate methods used in problem solving using technology as appropriate.
| Strand |
Source |
| Units |
PA: System of School Assessment, 1997, Grade 8, p.11,#2 week tested: 30. |
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Perimeter/Area/Volume: Describe
The learner will be able to
explain linear measure, area and volume.
| Strand |
Source |
| Perimeter/Area/Volume |
PA: Academic Standards, January 16, 1999, Grade 8, p.6,2.3.8.E (back mapped) |
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Measurement: Approximate/Use/Explain
The learner will be able to
estimate and measure in units of length, weight and volume.
| Strand |
Source |
| Measurement: Application |
PA: Academic Standards, January 16, 1999, Grade 8, p.6,2.3.8.D (back mapped) |
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Formulas: Develop
The learner will be able to
apply formulas for finding perimeter,circumference, area and volume.
| Strand |
Source |
| Formulas |
PA: Academic Standards, January 16, 1999, Grade 8, p.6,2.3.8.A (back mapped) |
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Problem Solving: Rates
The learner will be able to
identify and compare unit prices.
| Strand |
Source |
| Problem Solving |
PA: Academic Standards, January 16, 1999, Grade 8, p.6,2.3.8.B (back mapped) |
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Perimeter: Application
The learner will be able to
solve real-world application problems involving perimeter measurements.
| Strand |
Source |
| Perimeter |
PA: System of School Assessment, 1997, Grade 8, p.11,#2 week tested: 30. (back mapped) |
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Area/Volume: Combine/Separate
The learner will be able to
solve for the area or volume of the combination or separation of | |
