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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 figures.
| Strand |
Source |
| Perimeter/Area/Volume |
PA: System of School Assessment, 1997, Grade 8, p.11,#2 week tested: 30. |
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Circumference: Application
The learner will be able to
solve real-world application problems involving circumference measurements.
| Strand |
Source |
| Circumference |
PA: System of School Assessment, 1997, Grade 8, p.11,#2 week tested: 30. (back mapped) |
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Measurement: Quantify Issues
The learner will be able to
quantify issues using measurement.
| Strand |
Source |
| Measurement: Application |
PA: Academic Standards, January 16, 1999, Grade 8, p.7,2.4.8.F |
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Scale Maps: Interpret/Measurements
The learner will be able to
introduce scale models.
| Strand |
Source |
| Scale Drawings |
PA: Academic Standards, January 16, 1999, Grade 8, p.6,2.3.8.F (back mapped) |
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Scale Models: Construct/Apply
The learner will be able to
construct and apply scale models.
| Strand |
Source |
| Scale Drawings |
PA: Academic Standards, January 16, 1999, Grade 8, p.6,2.3.8.G |
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Units of Measurement: Scale
The learner will be able to
understand the concept of scale in relation to a ratio in regards to a scale drawing.
| Strand |
Source |
| Scale Drawings |
PA: System of School Assessment, 1997, Grade 8, p.11,#2 week tested: 30. |
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Scale Drawing
The learner will be able to
use proportional relationships to determine actual measurements from a diagram or map drawn to scale.
| Strand |
Source |
| Scale Drawings |
PA: System of School Assessment, 1997, Grade 8, p.11,#2 week tested: 30. |
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Scale: Analyze
The learner will be able to
analyze objects to determine whether they illustrate scale.
| Strand |
Source |
| Scale Drawings |
PA: Academic Standards, January 16, 1999, Grade 8, p.17,2.9.8.K |
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Conversion: Between Systems
The learner will be able to
solve problems which require converting units of measurement between systems.
| Strand |
Source |
| Converting |
PA: System of School Assessment, 1997, Grade 8, p.11,#2 week tested: 30. |
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Angle Measure: Degrees
The learner will be able to
measure angles in degrees.
| Strand |
Source |
| Angle Measurement |
PA: Academic Standards, January 16, 1999, Grade 8, p.6,2.3.8.C (back mapped) |
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Angle Measure: Relations
The learner will be able to
determine relations of angles.
| Strand |
Source |
| Angle Measurement |
PA: Academic Standards, January 16, 1999, Grade 8, p.6,2.3.8.C (back mapped) |
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The Number Theory Unit focuses on manipulating number forms and classifications. Students make connections between number forms and their real-world applications.
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Equivalent Forms: Represent/Use
The learner will be able to
display and/or apply numbers in many different equivalent forms.
| Strand |
Source |
| Equivalent Forms |
PA: Academic Standards, January 16, 1999, Grade 8, p.2,2.1.8.A |
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Ratio/Proportion: Apply
The learner will be able to
identify properties of similar figures.
| Strand |
Source |
| Ratio/Proportion |
PA: Academic Standards, January 16, 1999, Grade 8, p.2,2.1.8.D (back mapped) |
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Ratio/Proportion: Applying
The learner will be able to
apply ratio and proportion concepts to solve real-world scenario problems.
| Strand |
Source |
| Ratio/Proportion |
PA: System of School Assessment, 1997, Grade 8, p.11,#1 week tested: 30. |
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Ratio/Proportion: Story Problems
The learner will be able to
obtain solutions to story problems using ratio and proportion.
| Strand |
Source |
| Ratio/Proportion |
PA: Academic Standards, January 16, 1999, Grade 8, p.4,2.2.8.B |
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Multiples
The learner will be able to
demonstrate an understanding of multiples.
| Strand |
Source |
| Multiples |
PA: System of School Assessment, 1997, Grade 8, p.11,#1 week tested: 30. (back mapped) |
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Factors: Applications
The learner will be able to
understand and use factors.
| Strand |
Source |
| Factors |
PA: System of School Assessment, 1997, Grade 8, p.11,#1 week tested: 30. (back mapped) |
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Divisibility
The learner will be able to
determine which number is evenly divisible by a given number.
| Strand |
Source |
| Divisibility |
PA: System of School Assessment, 1997, Grade 8, p.11,#1 week tested: 30. |
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Scientific Notation: Simplify Expression
The learner will be able to
simplify numerical expressions involving scientific notation.
| Strand |
Source |
| Scientific Notation |
PA: Academic Standards, January 16, 1999, Grade 8, p.2,2.1.8.B |
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The Numeration Unit focuses on exploring ordinality, identifying and extending number patterns, comparing numbers, and demonstrating number relationships.
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Patterns: Explain/Generalize
The learner will be able to
discover and generalize number patterns.
| Strand |
Source |
| Patterns |
PA: Academic Standards, January 16, 1999, Grade 8, p.13,2.8.8.B (back mapped) |
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Pattern: Analyzing
The learner will be able to
analyze mathematical patterns such as sequences, series.
| Strand |
Source |
| Patterns |
PA: System of School Assessment, 1997, Grade 8, p.12,#5 week tested: 30. (back mapped) |
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Estimation: Tips/Discount
The learner will be able to
define percent and estimate solution to percent problems.
| Strand |
Source |
| Estimation |
PA: Academic Standards, January 16, 1999, Grade 8, p.4,2.2.8.C (back mapped) |
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Estimation: Appropriate Uses
The learner will be able to
differentiate between an exact value and an approximation.
| Strand |
Source |
| Estimation |
PA: Academic Standards, January 16, 1999, Grade 8, p.4,2.2.8.E (back mapped) |
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Sequence: Analyzing
The learner will be able to
reproduce, extend, and create sequences.
| Strand |
Source |
| Sequences/Series |
PA: System of School Assessment, 1997, Grade 8, p.12,#5 week tested: 30. |
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Pattern: Geometric/Describe
The learner will be able to
describe a geometric pattern.
| Strand |
Source |
| Patterns: Geometric |
PA: Academic Standards, January 16, 1999, Grade 8, p.17,2.9.8.J |
|
|
|
Pattern: Geometric/Analyze
The learner will be able to
analyze geometric patterns.
| Strand |
Source |
| Patterns: Geometric |
PA: Academic Standards, January 16, 1999, Grade 8, p.17,2.9.8.J |
|
|
|
Patterns: Apply
The learner will be able to
create, describe and extend patterns.
| Strand |
Source |
| Patterns |
PA: Academic Standards, January 16, 1999, Grade 8, p.13,2.8.8.A (back mapped) |
|
|
|
Patterns: Apply
The learner will be able to
create, describe and extend patterns.
| Strand |
Source |
| Patterns |
PA: Academic Standards, January 16, 1999, Grade 8, p.13,2.8.8.A (back mapped) |
|
|
|
Pattern: Extend
The learner will be able to
continue a pattern of numbers.
| Strand |
Source |
| Patterns |
PA: Academic Standards, January 16, 1999, Grade 8, p.19,2.11.8.C (back mapped) |
|
|
|
Estimation: Appropriateness
The learner will be able to
explain when rounding or exact numbers are appropriate in real life problems.
| Strand |
Source |
| Estimation |
PA: Academic Standards, January 16, 1999, Grade 8, p.4,2.2.8.D (back mapped) |
|
|
|
Estimation
The learner will be able to
use estimation in solving problems.
| Strand |
Source |
| Estimation |
PA: System of School Assessment, 1997, Grade 8, p.11,#1 week tested: 30. (back mapped) |
|
|
|
Number Lines: Problem Solving
The learner will be able to
solve real-world problems using number lines.
| Strand |
Source |
| Number Lines |
PA: System of School Assessment, 1997, Grade 8, p.12,#5 week tested: 30. (back mapped) |
|
|
|
Number Line: Represent Integers
The learner will be able to
illustrate integers on a number line.
| Strand |
Source |
| Number Lines |
PA: Academic Standards, January 16, 1999, Grade 8, p.2,2.1.8.F (back mapped) |
|
|
|
Number Lines: Plotting Points
The learner will be able to
plot points using a given number line.
| Strand |
Source |
| Number Lines |
PA: System of School Assessment, 1997, Grade 8, p.12,#5 week tested: 30. (back mapped) |
|
|
|
Rounding: Estimation
The learner will be able to
relate rounding skills to estimating possible outcomes of equations and estimations of size.
| Strand |
Source |
| Rounding |
PA: System of School Assessment, 1997, Grade 8, p.11,#1 week tested: 30. |
|
|
The Percent Unit focuses on the concept of percent. This unit includes performing operations with percents, converting percents to other number forms, using manipulatives to demonstrate percents, and solving problems with percents in real-world contexts.
|
|
|
Number Sense: Applying
The learner will be able to
show an intuitive sense of what a percent is, and how percents are used in real-world scenarios by completing sentences involving percentages with appropriate and reasonable choices.
| Strand |
Source |
| Number Sense |
PA: System of School Assessment, 1997, Grade 8, p.11,#1 week tested: 30. (back mapped) |
|
|
The Probability/Statistics Unit focuses on data analysis and probability concepts. This unit includes collecting, analyzing, and making sense of real-world data (including overlapping data, inconclusive data, etc.).
|
|
|
Mean/Median/Mode/Range/Quartiles
The learner will be able to
differentiate data using mean, median, mode and range.
| Strand |
Source |
| Average/Median/Mode/Range |
PA: Academic Standards, January 16, 1999, Grade 8, p.9,2.6.8.A (back mapped) |
|
|
|
Probability: Conjectures
The learner will be able to
formulate conjectures that have a basis in theoretical or experimental probability.
| Strand |
Source |
| Probability |
PA: Academic Standards, January 16, 1999, Grade 8, p.11,2.7.8.E |
|
|
|
Probability of Events: Analyzing
The learner will be able to
analyze the probability of events to determine their dependence or independence, and study the probability of compound events.
| Strand |
Source |
| Probability |
PA: System of School Assessment, 1997, Grade 8, p.12,#4 week tested: 30. |
|
|
|
Predictions: Probability
The learner will be able to
apply probability methods in the prediction of given event outcomes.
| Strand |
Source |
| Predictions |
PA: Academic Standards, January 16, 1999, Grade 8, p.11,2.7.8.E |
|
|
|
Sampling: Effect/Reliability
The learner will be able to
identify missing or incorrect information used in sampling procedures.
| Strand |
Source |
| Sampling |
PA: Academic Standards, January 16, 1999, Grade 8, p.9,2.6.8.B (back mapped) |
|
|
|
Data Analysis: Graphing Calculator
The learner will be able to
organize and study data using scientific and graphing calculators and computer spreadsheets.
| Strand |
Source |
| Data Analysis |
PA: Academic Standards, January 16, 1999, Grade 8, p.9,2.6.8.F |
|
|
|
Data Analysis: Representation
The learner will be able to
make and justify predictions that are based on experimental probability.
| Strand |
Source |
| Data Analysis |
PA: Academic Standards, January 16, 1999, Grade 8, p.11,2.7.8.B (back mapped) |
|
|
|
Correlation: Variables
The learner will be able to
identify a scatter plot and recognize any correlations displayed.
| Strand |
Source |
| Correlation/Deviation/Variance |
PA: Academic Standards, January 16, 1999, Grade 8, p.9,2.6.8.C (back mapped) |
|
|
|
Probability/Statistics: Problem Solving
The learner will be able to
understand and use basic probability and statistics concepts to solve both real-world and theoretical problems.
| Strand |
Source |
| Probability/Statistics |
PA: System of School Assessment, 1997, Grade 8, p.12,#4 week tested: 30. |
|
|
|
Probability: Compare
The learner will be able to
observe similarities and/or differences that may exist between experimental results and mathematical calculations of probabilities.
| Strand |
Source |
| Probability |
PA: Academic Standards, January 16, 1999, Grade 8, p.11,2.7.8.D |
|
|
|
Predictions: Analyze
The learner will be able to
express the probability of an event as a fraction and a percent.
| Strand |
Source |
| Predictions |
PA: Academic Standards, January 16, 1999, Grade 8, p.11,2.7.8.C (back mapped) |
|
|
|
Sampling: Design/Follow Through
The learner will be able to
describe random sampling procedure.
| Strand |
Source |
| Sampling |
PA: Academic Standards, January 16, 1999, Grade 8, p.9,2.6.8.D (back mapped) |
|
|
|
Sampling: Validity/Newspapers
The learner will be able to
determine if the sampling strategy described in studies published in local or national newspapers is valid.
| Strand |
Source |
| Sampling |
PA: Academic Standards, January 16, 1999, Grade 8, p.9,2.6.8.G |
|
|
|
Statistics: Quantify Issues
The learner will be able to
quantify issues using statistics.
| Strand |
Source |
| Statistics |
PA: Academic Standards, January 16, 1999, Grade 8, p.7,2.4.8.F |
|
|
|
Permutations: Determine
The learner will be able to
determine and identify the probability of an event given all possible outcomes.
| Strand |
Source |
| Permutations |
PA: Academic Standards, January 16, 1999, Grade 8, p.11,2.7.8.A (back mapped) |
|
|
|
Combinations: Determine
The learner will be able to
find the combinations in a given situation.
| Strand |
Source |
| Combinations |
PA: Academic Standards, January 16, 1999, Grade 8, p.11,2.7.8.A |
|
|
The Problem Solving Unit focuses on the problem solving effort. This unit includes analyzing problems, evaluating solutions, problem exploration, and strategies.
|
|
|
Solutions: Verify/Interpret
The learner will be able to
interpret tables, charts and graphs.
| Strand |
Source |
| Solution |
PA: Academic Standards, January 16, 1999, Grade 8, p.8,2.5.8.B (back mapped) |
|
|
|
Strategies: Choose/Apply/Justify
The learner will be able to
select, use and justify the methods, material and strategies used to solve problems.
| Strand |
Source |
| Strategies |
PA: Academic Standards, January 16, 1999, Grade 8, p.8,2.5.8.A (back mapped) |
|
|
|
Strategies: Invent
The learner will be able to
select, use and justify the methods, material and strategies used to solve problems.
| Strand |
Source |
| Strategies |
PA: Academic Standards, January 16, 1999, Grade 8, p.8,2.5.8.A (back mapped) |
|
|
|
Problem Solving: Complex/Non-Routine
The learner will be able to
apply organization methods and a variety of strategies to solve complex and non-routine problems.
| Strand |
Source |
| Problem Solving |
PA: System of School Assessment, 1997, Grade 8, p.12,#5 week tested: 30. (back mapped) |
|
|
|
Necessary Information: Solution
The learner will be able to
determine if further information is necessary in order to obtain problem solutions.
| Strand |
Source |
| Irrelevant/Necessary Information |
PA: Academic Standards, January 16, 1999, Grade 8, p.8,2.5.8.D (back mapped) |
|
|
|
Irrelevant Information: Identify
The learner will be able to
identify irrelevant information given in a story problem.
| Strand |
Source |
| Irrelevant/Necessary Information |
PA: Academic Standards, January 16, 1999, Grade 8, p.8,2.5.8.D (back mapped) |
|
|
|
Solutions: Justifying
The learner will be able to
justify strategies and defend approaches used and conclusions reached.
| Strand |
Source |
| Solution |
PA: Academic Standards, January 16, 1999, Grade 8, p.8,2.5.8.C (back mapped) |
|
|
|
Strategies: Justify Reasoning
The learner will be able to
justify strategies and defend approaches used and conclusions reached.
| Strand |
Source |
| Strategies |
PA: Academic Standards, January 16, 1999, Grade 8, p.8,2.5.8.C (back mapped) |
|
|
Rational and Irrational Numbers
|
|
The Rational and Irrational Numbers Unit includes manipulating, comparing, and performing operations with rational numbers.
|
|
|
Operations: Rational Numbers
The learner will be able to
calculate expressions that involve addition, subtraction, multiplication and division with decimals, fractions and mixed numbers.
| Strand |
Source |
| Operations |
PA: Academic Standards, January 16, 1999, Grade 8, p.4,2.2.8.A (back mapped) |
|
|
|
Problem Solving: Rational
The learner will be able to
select, use and justify the methods, material and strategies used to solve problems.
| Strand |
Source |
| Problem Solving |
PA: Academic Standards, January 16, 1999, Grade 8, p.14,2.8.8.H (back mapped) |
|
|
|
Irrational Numbers: Estimate Value
The learner will be able to
define and identify rational numbers.
| Strand |
Source |
| Irrational Numbers |
PA: Academic Standards, January 16, 1999, Grade 8, p.4,2.2.8.B (back mapped) |
|
|
|
Irrational Numbers: Order
The learner will be able to
order irrational numbers in the correct sequence.
| Strand |
Source |
| Irrational Numbers |
PA: Academic Standards, January 16, 1999, Grade 8, p.2,2.1.8.C |
|
|
|
Rational Numbers: Identify
The learner will be able to
identify from a group of numbers which are rational or irrational.
| Strand |
Source |
| Rational Numbers |
PA: Academic Standards, January 16, 1999, Grade 8, p.2,2.1.8.C |
|
|
|
Rational Numbers: Ordering
The learner will be able to
use a number line to represent fractions, decimals and integers to model real life situations.
| Strand |
Source |
| Rational Numbers |
PA: Academic Standards, January 16, 1999, Grade 8, p.2,2.1.8.C (back mapped) |
|
|
Real Numbers and the Coordinate Plane
|
|
The Real Numbers and the Coordinate Plane Unit includes graphing equations, and making connections between algebraic concepts and their geometric correspondences.
|
|
|
Graphing: Illustrate Relationships
The learner will be able to
illustrate relationships with tables or graphs in the coordinate plane, and verbal or symbolic rules.
| Strand |
Source |
| Graphing |
PA: Academic Standards, January 16, 1999, Grade 8, p.13,2.8.8.G |
|
|
|
Coordinate Plane: Problem Solving
The learner will be able to
solve problems using coordinate points.
| Strand |
Source |
| Coordinate Geometry |
PA: System of School Assessment, 1997, Grade 8, p.12,#5 week tested: 30. |
|
|
The Technology Unit includes studying computer hardware and software, uses for calculators, and applications of technology in problem solving.
|
|
|
Analyzing: Functions
The learner will be able to
analyze and graph functions using graphing calculators and computer spreadsheets.
| Strand |
Source |
| Analyzing |
PA: Academic Standards, January 16, 1999, Grade 8, p.14,2.8.8.I |
|
|
The Trigonometry Unit includes studying triangles, trigonometric ratios, and triangle measurements, applying triangle properties, and solving right triangle problems.
|
|
|
Trigonometric Concepts
The learner will be able to
identify right triangles in real life applications through real and scale models.
| Strand |
Source |
| Trigonometric Concepts |
PA: Academic Standards, January 16, 1999, Grade 8, p.18,2.10.8.A (back mapped) |
|
|
|
Triangles: Problem Solving
The learner will be able to
obtain solutions to problems that require indirect measurement for lengths of sides of triangles.
| Strand |
Source |
| Triangles |
PA: Academic Standards, January 16, 1999, Grade 8, p.18,2.10.8.B |
|
|
The Whole Numbers Unit includes performing operations with whole numbers, using manipulatives to demonstrate whole number concepts, and solving problems with whole numbers in real-world contexts.
|
|
|
Operations: Add/Subtract/Multiply/Divide
The learner will be able to
add, subtract, multiply, and divide whole numbers within the context of numerical problems.
| Strand |
Source |
| Operations |
PA: System of School Assessment, 1997, Grade 8, p.11,#1 week tested: 30. |
|
|
