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Dallas School District
K-12 Curriculum
Middle School Mathematics - Grade 6

Algebraic Concepts

Order of Operations: Applying Rules
The learner will be able to calculate the value of expressions involving grouping symbols.
Strand Source Activities
Order of Operations PA: Academic Standards, January 16, 1999, Grade 8, p.4,2.2.8.A (back mapped) Classroom
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Order of Operations: Simplify
The learner will be able to simplify numeric expressions involving order of operations.
Strand Source Activities
Order of Operations PA: Academic Standards, January 16, 1999, Grade 8, p.2,2.1.8.B (back mapped) Classroom
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Equations: Choose/Apply
The learner will be able to solve one step equations.
Strand Source Activities
Equations PA: Academic Standards, January 16, 1999, Grade 8, p.13,2.8.8.E (back mapped) Classroom
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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 Activities
Equations PA: Academic Standards, January 16, 1999, Grade 8, p.13,2.8.8.F Classroom
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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 Activities
Equations PA: Academic Standards, January 16, 1999, Grade 8, p.2,2.1.8.G (back mapped) Classroom
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Inequalities: Interpret
The learner will be able to interpret inequalities using tables and graphs as tools.
Strand Source Activities
Inequalities PA: System of School Assessment, 1997, Grade 8, p.12,#5 week tested: 30. Classroom
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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 Activities
Operations PA: System of School Assessment, 1997, Grade 8, p.12,#5 week tested: 30. Classroom
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Algebraic Concepts: Explain
The learner will be able to compare rates of change in real life situations.
Strand Source Activities
Algebraic Concepts PA: Academic Standards, January 16, 1999, Grade 8, p.19,2.11.8.B (back mapped) Classroom
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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 Activities
Algebraic Concepts PA: Academic Standards, January 16, 1999, Grade 8, p.13,2.8.8.C Classroom
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Algebraic Concepts: Manipulatives
The learner will be able to use manipulatives to represent algebraic concepts.
Strand Source Activities
Algebraic Concepts PA: Academic Standards, January 16, 1999, Grade 8, p.13,2.8.8.D Classroom
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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 Activities
Algorithms PA: Academic Standards, January 16, 1999, Grade 8, p.7,2.4.8.D (back mapped) Classroom
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Inequalities: Real World
The learner will be able to solve real world problems with inequalities.
Strand Source Activities
Inequalities PA: System of School Assessment, 1997, Grade 8, p.12,#5 week tested: 30. Classroom
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Expressions: Simplify/Exponents
The learner will be able to simplify expressions that involve exponents.
Strand Source Activities
Expressions PA: Academic Standards, January 16, 1999, Grade 8, p.2,2.1.8.E Classroom
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Expressions: Expand
The learner will be able to write numbers in expanded and exponential form.
Strand Source Activities
Expressions PA: Academic Standards, January 16, 1999, Grade 8, p.2,2.1.8.E (back mapped) Classroom
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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 Activities
Variable PA: System of School Assessment, 1997, Grade 8, p.12,#5 week tested: 30. Classroom
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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 Activities
Variable PA: System of School Assessment, 1997, Grade 8, p.12,#5 week tested: 30. Classroom
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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 Activities
Equality/Inequality PA: Academic Standards, January 16, 1999, Grade 8, p.14,2.8.8.J Classroom
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Data Interpretation

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 Activities
Stem-and-Leaf/Box-and-Whisker Plots PA: Academic Standards, January 16, 1999, Grade 8, p.9,2.6.8.E (back mapped) Classroom
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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 Activities
Stem-and-Leaf/Box-and-Whisker Plots PA: Academic Standards, January 16, 1999, Grade 8, p.9,2.6.8.E (back mapped) Classroom
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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 Activities
Stem-and-Leaf/Box-and-Whisker Plots PA: Academic Standards, January 16, 1999, Grade 8, p.9,2.6.8.E (back mapped) Classroom
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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 Activities
Stem-and-Leaf/Box-and-Whisker Plots PA: Academic Standards, January 16, 1999, Grade 8, p.9,2.6.8.E (back mapped) Classroom
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Decimal Notation
The learner will be able to identify and use decimal notation.
Strand Source Activities
Decimals PA: System of School Assessment, 1997, Grade 8, p.11,#1 week tested: 30. (back mapped) Classroom
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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 Activities
Fractions PA: System of School Assessment, 1997, Grade 8, p.11,#1 week tested: 30. (back mapped) Classroom
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Problem Solving: Fractions
The learner will be able to apply fraction representations to solve real-world problems.
Strand Source Activities
Problem Solving PA: System of School Assessment, 1997, Grade 8, p.11,#1 week tested: 30. (back mapped) Classroom
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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 Activities
Functional Relationships PA: Academic Standards, January 16, 1999, Grade 8, p.14,2.8.8.J Classroom
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Functions: Graph
The learner will be able to plot, describe and interpret points on a coordinate plane.
Strand Source Activities
Graphing Functions PA: Academic Standards, January 16, 1999, Grade 8, p.14,2.8.8.I (back mapped) Classroom
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Graping Functions: Table
The learner will be able to create a table from a function.
Strand Source Activities
Graphing Functions PA: Academic Standards, January 16, 1999, Grade 8, p.14,2.8.8.I Classroom
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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 Activities
Graphing Functions PA: Academic Standards, January 16, 1999, Grade 8, p.19,2.11.8.A (back mapped) Classroom
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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 Activities
Figures PA: System of School Assessment, 1997, Grade 8, p.11,#3 week tested: 30. Classroom
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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 Activities
Figures PA: System of School Assessment, 1997, Grade 8, p.11,#3 week tested: 30. Classroom
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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 Activities
Figures PA: Academic Standards, January 16, 1999, Grade 8, p.16,2.9.8.D (back mapped) Classroom
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Congruent/Similar: Exploring Figures
The learner will be able to explore concepts of both congruent and similar figures.
Strand Source Activities
Congruence/Similarity/Symmetry PA: System of School Assessment, 1997, Grade 8, p.11,#3 week tested: 30. Classroom
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Angles: Draw/Measure/Label/List
The learner will be able to identify and classify properties of angles.
Strand Source Activities
Angles PA: Academic Standards, January 16, 1999, Grade 8, p.16,2.9.8.B (back mapped) Classroom
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Logic: Create Arguments
The learner will be able to identify if...then statements to test simple valid arguments.
Strand Source Activities
Logic PA: Academic Standards, January 16, 1999, Grade 8, p.7,2.4.8.C (back mapped) Classroom
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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 Activities
Constructions PA: Academic Standards, January 16, 1999, Grade 8, p.16,2.9.8.A (back mapped) Classroom
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Problem Solving: Geometric Properties
The learner will be able to apply geometric properties to solve problems.
Strand Source Activities
Problem Solving PA: System of School Assessment, 1997, Grade 8, p.11,#3 week tested: 30. Classroom
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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 Activities
Problem Solving PA: System of School Assessment, 1997, Grade 8, p.11,#3 week tested: 30. Classroom
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Figures: Classify/Criterion
The learner will be able to use a given criterion to classify figures.
Strand Source Activities
Figures: Classify PA: System of School Assessment, 1997, Grade 8, p.11,#3 week tested: 30. (back mapped) Classroom
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Figures: Describing
The learner will be able to describe object shapes.
Strand Source Activities
Figures: Describe PA: System of School Assessment, 1997, Grade 8, p.11,#3 week tested: 30. (back mapped) Classroom
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Figures: Comparison
The learner will be able to compare the properties of two and three dimensional shapes.
Strand Source Activities
Figures PA: System of School Assessment, 1997, Grade 8, p.11,#3 week tested: 30. (back mapped) Classroom
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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 Activities
Congruence/Similarity/Symmetry PA: Academic Standards, January 16, 1999, Grade 8, p.16,2.9.8.F Classroom
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Congruence/Similarity: Classification
The learner will be able to classify figures by congruence and/or similarity.
Strand Source Activities
Congruence/Similarity/Symmetry PA: Academic Standards, January 16, 1999, Grade 8, p.17,2.9.8.K Classroom
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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 Activities
Lines PA: Academic Standards, January 16, 1999, Grade 8, p.16,2.9.8.E Classroom
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Lines: Draw/Transversal
The learner will be able to draw a transversal.
Strand Source Activities
Lines PA: Academic Standards, January 16, 1999, Grade 8, p.16,2.9.8.E Classroom
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Angles: Compare
The learner will be able to compare angles.
Strand Source Activities
Angles PA: Academic Standards, January 16, 1999, Grade 8, p.16,2.9.8.E Classroom
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Angles: Measuring
The learner will be able to measure angles.
Strand Source Activities
Angles PA: Academic Standards, January 16, 1999, Grade 8, p.16,2.9.8.E Classroom
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Angles: Congruent
The learner will be able to identify congruent angles.
Strand Source Activities
Angles PA: System of School Assessment, 1997, Grade 8, p.11,#3 week tested: 30. Classroom
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Circles: Pi
The learner will be able to use experimentation to estimate the value of pi.
Strand Source Activities
Circles PA: Academic Standards, January 16, 1999, Grade 8, p.17,2.9.8.G Classroom
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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 Activities
Transformations PA: Academic Standards, January 16, 1999, Grade 8, p.17,2.9.8.H Classroom
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Transformation: Create/Software
The learner will be able to use computer software to create transformations.
Strand Source Activities
Transformations PA: Academic Standards, January 16, 1999, Grade 8, p.17,2.9.8.I Classroom
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Tesselations: Representations
The learner will be able to study objects to identify whether they represent tessellations.
Strand Source Activities
Tessellations PA: Academic Standards, January 16, 1999, Grade 8, p.17,2.9.8.K Classroom
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Inductive/Deductive Reasoning: Identify
The learner will be able to apply inductive reasoning to reach a conclusion.
Strand Source Activities
Reasoning PA: Academic Standards, January 16, 1999, Grade 8, p.7,2.4.8.E (back mapped) Classroom
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Symmetry
The learner will be able to determine if a given shape is symmetrical.
Strand Source Activities
Symmetry PA: Academic Standards, January 16, 1999, Grade 8, p.17,2.9.8.K Classroom
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Polygons: Classify
The learner will be able to identify triangles, quadrilaterals, other polygons and circles.
Strand Source Activities
Polygons PA: Academic Standards, January 16, 1999, Grade 8, p.16,2.9.8.C (back mapped) Classroom
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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 Activities
Problem Solving PA: System of School Assessment, 1997, Grade 8, p.11,#1 week tested: 30. Classroom
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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 Activities
Integers PA: Academic Standards, January 16, 1999, Grade 8, p.2,2.1.8.F (back mapped) Classroom
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Mathematics Processes

Reasoning: Conjecture
The learner will be able to identify ad test conjectures.
Strand Source Activities
Reasoning PA: Academic Standards, January 16, 1999, Grade 8, p.7,2.4.8.A (back mapped) Classroom
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Relationships: Conclusion
The learner will be able to combine whole number relationships to arrive at a conclusion.
Strand Source Activities
Relationships PA: Academic Standards, January 16, 1999, Grade 8, p.7,2.4.8.B (back mapped) Classroom
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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 Activities
Units PA: System of School Assessment, 1997, Grade 8, p.11,#2 week tested: 30. Classroom
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Perimeter/Area/Volume: Describe
The learner will be able to explain linear measure, area and volume.
Strand Source Activities
Perimeter/Area/Volume PA: Academic Standards, January 16, 1999, Grade 8, p.6,2.3.8.E (back mapped) Classroom
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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 Activities
Measurement: Application PA: Academic Standards, January 16, 1999, Grade 8, p.6,2.3.8.D (back mapped) Classroom
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Formulas: Develop
The learner will be able to apply formulas for finding perimeter,circumference, area and volume.
Strand Source Activities
Formulas PA: Academic Standards, January 16, 1999, Grade 8, p.6,2.3.8.A (back mapped) Classroom
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Problem Solving: Rates
The learner will be able to identify and compare unit prices.
Strand Source Activities
Problem Solving PA: Academic Standards, January 16, 1999, Grade 8, p.6,2.3.8.B (back mapped) Classroom
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Perimeter: Application
The learner will be able to solve real-world application problems involving perimeter measurements.
Strand Source Activities
Perimeter PA: System of School Assessment, 1997, Grade 8, p.11,#2 week tested: 30. (back mapped) Classroom
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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 Activities
Perimeter/Area/Volume PA: System of School Assessment, 1997, Grade 8, p.11,#2 week tested: 30. Classroom
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Circumference: Application
The learner will be able to solve real-world application problems involving circumference measurements.
Strand Source Activities
Circumference PA: System of School Assessment, 1997, Grade 8, p.11,#2 week tested: 30. (back mapped) Classroom
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Measurement: Quantify Issues
The learner will be able to quantify issues using measurement.
Strand Source Activities
Measurement: Application PA: Academic Standards, January 16, 1999, Grade 8, p.7,2.4.8.F Classroom
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Scale Maps: Interpret/Measurements
The learner will be able to introduce scale models.
Strand Source Activities
Scale Drawings PA: Academic Standards, January 16, 1999, Grade 8, p.6,2.3.8.F (back mapped) Classroom
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Scale Models: Construct/Apply
The learner will be able to construct and apply scale models.
Strand Source Activities
Scale Drawings PA: Academic Standards, January 16, 1999, Grade 8, p.6,2.3.8.G Classroom
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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 Activities
Scale Drawings PA: System of School Assessment, 1997, Grade 8, p.11,#2 week tested: 30. Classroom
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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 Activities
Scale Drawings PA: System of School Assessment, 1997, Grade 8, p.11,#2 week tested: 30. Classroom
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Scale: Analyze
The learner will be able to analyze objects to determine whether they illustrate scale.
Strand Source Activities
Scale Drawings PA: Academic Standards, January 16, 1999, Grade 8, p.17,2.9.8.K Classroom
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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 Activities
Converting PA: System of School Assessment, 1997, Grade 8, p.11,#2 week tested: 30. Classroom
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Angle Measure: Degrees
The learner will be able to measure angles in degrees.
Strand Source Activities
Angle Measurement PA: Academic Standards, January 16, 1999, Grade 8, p.6,2.3.8.C (back mapped) Classroom
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Angle Measure: Relations
The learner will be able to determine relations of angles.
Strand Source Activities
Angle Measurement PA: Academic Standards, January 16, 1999, Grade 8, p.6,2.3.8.C (back mapped) Classroom
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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 Activities
Equivalent Forms PA: Academic Standards, January 16, 1999, Grade 8, p.2,2.1.8.A Classroom
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Ratio/Proportion: Apply
The learner will be able to identify properties of similar figures.
Strand Source Activities
Ratio/Proportion PA: Academic Standards, January 16, 1999, Grade 8, p.2,2.1.8.D (back mapped) Classroom
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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 Activities
Ratio/Proportion PA: System of School Assessment, 1997, Grade 8, p.11,#1 week tested: 30. Classroom
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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 Activities
Ratio/Proportion PA: Academic Standards, January 16, 1999, Grade 8, p.4,2.2.8.B Classroom
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Multiples
The learner will be able to demonstrate an understanding of multiples.
Strand Source Activities
Multiples PA: System of School Assessment, 1997, Grade 8, p.11,#1 week tested: 30. (back mapped) Classroom
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Factors: Applications
The learner will be able to understand and use factors.
Strand Source Activities
Factors PA: System of School Assessment, 1997, Grade 8, p.11,#1 week tested: 30. (back mapped) Classroom
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Divisibility
The learner will be able to determine which number is evenly divisible by a given number.
Strand Source Activities
Divisibility PA: System of School Assessment, 1997, Grade 8, p.11,#1 week tested: 30. Classroom
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Scientific Notation: Simplify Expression
The learner will be able to simplify numerical expressions involving scientific notation.
Strand Source Activities
Scientific Notation PA: Academic Standards, January 16, 1999, Grade 8, p.2,2.1.8.B Classroom
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Patterns: Explain/Generalize
The learner will be able to discover and generalize number patterns.
Strand Source Activities
Patterns PA: Academic Standards, January 16, 1999, Grade 8, p.13,2.8.8.B (back mapped) Classroom
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Pattern: Analyzing
The learner will be able to analyze mathematical patterns such as sequences, series.
Strand Source Activities
Patterns PA: System of School Assessment, 1997, Grade 8, p.12,#5 week tested: 30. (back mapped) Classroom
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Estimation: Tips/Discount
The learner will be able to define percent and estimate solution to percent problems.
Strand Source Activities
Estimation PA: Academic Standards, January 16, 1999, Grade 8, p.4,2.2.8.C (back mapped) Classroom
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Estimation: Appropriate Uses
The learner will be able to differentiate between an exact value and an approximation.
Strand Source Activities
Estimation PA: Academic Standards, January 16, 1999, Grade 8, p.4,2.2.8.E (back mapped) Classroom
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Sequence: Analyzing
The learner will be able to reproduce, extend, and create sequences.
Strand Source Activities
Sequences/Series PA: System of School Assessment, 1997, Grade 8, p.12,#5 week tested: 30. Classroom
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Pattern: Geometric/Describe
The learner will be able to describe a geometric pattern.
Strand Source Activities
Patterns: Geometric PA: Academic Standards, January 16, 1999, Grade 8, p.17,2.9.8.J Classroom
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Pattern: Geometric/Analyze
The learner will be able to analyze geometric patterns.
Strand Source Activities
Patterns: Geometric PA: Academic Standards, January 16, 1999, Grade 8, p.17,2.9.8.J Classroom
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Patterns: Apply
The learner will be able to create, describe and extend patterns.
Strand Source Activities
Patterns PA: Academic Standards, January 16, 1999, Grade 8, p.13,2.8.8.A (back mapped) Classroom
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Patterns: Apply
The learner will be able to create, describe and extend patterns.
Strand Source Activities
Patterns PA: Academic Standards, January 16, 1999, Grade 8, p.13,2.8.8.A (back mapped) Classroom
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Pattern: Extend
The learner will be able to continue a pattern of numbers.
Strand Source Activities
Patterns PA: Academic Standards, January 16, 1999, Grade 8, p.19,2.11.8.C (back mapped) Classroom
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Estimation: Appropriateness
The learner will be able to explain when rounding or exact numbers are appropriate in real life problems.
Strand Source Activities
Estimation PA: Academic Standards, January 16, 1999, Grade 8, p.4,2.2.8.D (back mapped) Classroom
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Estimation
The learner will be able to use estimation in solving problems.
Strand Source Activities
Estimation PA: System of School Assessment, 1997, Grade 8, p.11,#1 week tested: 30. (back mapped) Classroom
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Number Lines: Problem Solving
The learner will be able to solve real-world problems using number lines.
Strand Source Activities
Number Lines PA: System of School Assessment, 1997, Grade 8, p.12,#5 week tested: 30. (back mapped) Classroom
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Number Line: Represent Integers
The learner will be able to illustrate integers on a number line.
Strand Source Activities
Number Lines PA: Academic Standards, January 16, 1999, Grade 8, p.2,2.1.8.F (back mapped) Classroom
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Number Lines: Plotting Points
The learner will be able to plot points using a given number line.
Strand Source Activities
Number Lines PA: System of School Assessment, 1997, Grade 8, p.12,#5 week tested: 30. (back mapped) Classroom
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Rounding: Estimation
The learner will be able to relate rounding skills to estimating possible outcomes of equations and estimations of size.
Strand Source Activities
Rounding PA: System of School Assessment, 1997, Grade 8, p.11,#1 week tested: 30. Classroom
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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 Activities
Number Sense PA: System of School Assessment, 1997, Grade 8, p.11,#1 week tested: 30. (back mapped) Classroom
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Probability/Statistics

Mean/Median/Mode/Range/Quartiles
The learner will be able to differentiate data using mean, median, mode and range.
Strand Source Activities
Average/Median/Mode/Range PA: Academic Standards, January 16, 1999, Grade 8, p.9,2.6.8.A (back mapped) Classroom
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Probability: Conjectures
The learner will be able to formulate conjectures that have a basis in theoretical or experimental probability.
Strand Source Activities
Probability PA: Academic Standards, January 16, 1999, Grade 8, p.11,2.7.8.E Classroom
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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 Activities
Probability PA: System of School Assessment, 1997, Grade 8, p.12,#4 week tested: 30. Classroom
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Predictions: Probability
The learner will be able to apply probability methods in the prediction of given event outcomes.
Strand Source Activities
Predictions PA: Academic Standards, January 16, 1999, Grade 8, p.11,2.7.8.E Classroom
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Sampling: Effect/Reliability
The learner will be able to identify missing or incorrect information used in sampling procedures.
Strand Source Activities
Sampling PA: Academic Standards, January 16, 1999, Grade 8, p.9,2.6.8.B (back mapped) Classroom
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Data Analysis: Graphing Calculator
The learner will be able to organize and study data using scientific and graphing calculators and computer spreadsheets.
Strand Source Activities
Data Analysis PA: Academic Standards, January 16, 1999, Grade 8, p.9,2.6.8.F Classroom
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Data Analysis: Representation
The learner will be able to make and justify predictions that are based on experimental probability.
Strand Source Activities
Data Analysis PA: Academic Standards, January 16, 1999, Grade 8, p.11,2.7.8.B (back mapped) Classroom
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Correlation: Variables
The learner will be able to identify a scatter plot and recognize any correlations displayed.
Strand Source Activities
Correlation/Deviation/Variance PA: Academic Standards, January 16, 1999, Grade 8, p.9,2.6.8.C (back mapped) Classroom
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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 Activities
Probability/Statistics PA: System of School Assessment, 1997, Grade 8, p.12,#4 week tested: 30. Classroom
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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 Activities
Probability PA: Academic Standards, January 16, 1999, Grade 8, p.11,2.7.8.D Classroom
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Predictions: Analyze
The learner will be able to express the probability of an event as a fraction and a percent.
Strand Source Activities
Predictions PA: Academic Standards, January 16, 1999, Grade 8, p.11,2.7.8.C (back mapped) Classroom
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Sampling: Design/Follow Through
The learner will be able to describe random sampling procedure.
Strand Source Activities
Sampling PA: Academic Standards, January 16, 1999, Grade 8, p.9,2.6.8.D (back mapped) Classroom
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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 Activities
Sampling PA: Academic Standards, January 16, 1999, Grade 8, p.9,2.6.8.G Classroom
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Statistics: Quantify Issues
The learner will be able to quantify issues using statistics.
Strand Source Activities
Statistics PA: Academic Standards, January 16, 1999, Grade 8, p.7,2.4.8.F Classroom
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Permutations: Determine
The learner will be able to determine and identify the probability of an event given all possible outcomes.
Strand Source Activities
Permutations PA: Academic Standards, January 16, 1999, Grade 8, p.11,2.7.8.A (back mapped) Classroom
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Combinations: Determine
The learner will be able to find the combinations in a given situation.
Strand Source Activities
Combinations PA: Academic Standards, January 16, 1999, Grade 8, p.11,2.7.8.A Classroom
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Problem Solving

Solutions: Verify/Interpret
The learner will be able to interpret tables, charts and graphs.
Strand Source Activities
Solution PA: Academic Standards, January 16, 1999, Grade 8, p.8,2.5.8.B (back mapped) Classroom
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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 Activities
Strategies PA: Academic Standards, January 16, 1999, Grade 8, p.8,2.5.8.A (back mapped) Classroom
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Strategies: Invent
The learner will be able to select, use and justify the methods, material and strategies used to solve problems.
Strand Source Activities
Strategies PA: Academic Standards, January 16, 1999, Grade 8, p.8,2.5.8.A (back mapped) Classroom
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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 Activities
Problem Solving PA: System of School Assessment, 1997, Grade 8, p.12,#5 week tested: 30. (back mapped) Classroom
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Necessary Information: Solution
The learner will be able to determine if further information is necessary in order to obtain problem solutions.
Strand Source Activities
Irrelevant/Necessary Information PA: Academic Standards, January 16, 1999, Grade 8, p.8,2.5.8.D (back mapped) Classroom
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Irrelevant Information: Identify
The learner will be able to identify irrelevant information given in a story problem.
Strand Source Activities
Irrelevant/Necessary Information PA: Academic Standards, January 16, 1999, Grade 8, p.8,2.5.8.D (back mapped) Classroom
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Solutions: Justifying
The learner will be able to justify strategies and defend approaches used and conclusions reached.
Strand Source Activities
Solution PA: Academic Standards, January 16, 1999, Grade 8, p.8,2.5.8.C (back mapped) Classroom
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Strategies: Justify Reasoning
The learner will be able to justify strategies and defend approaches used and conclusions reached.
Strand Source Activities
Strategies PA: Academic Standards, January 16, 1999, Grade 8, p.8,2.5.8.C (back mapped) Classroom
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Rational and Irrational 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 Activities
Operations PA: Academic Standards, January 16, 1999, Grade 8, p.4,2.2.8.A (back mapped) Classroom
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Problem Solving: Rational
The learner will be able to select, use and justify the methods, material and strategies used to solve problems.
Strand Source Activities
Problem Solving PA: Academic Standards, January 16, 1999, Grade 8, p.14,2.8.8.H (back mapped) Classroom
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Irrational Numbers: Estimate Value
The learner will be able to define and identify rational numbers.
Strand Source Activities
Irrational Numbers PA: Academic Standards, January 16, 1999, Grade 8, p.4,2.2.8.B (back mapped) Classroom
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Irrational Numbers: Order
The learner will be able to order irrational numbers in the correct sequence.
Strand Source Activities
Irrational Numbers PA: Academic Standards, January 16, 1999, Grade 8, p.2,2.1.8.C Classroom
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Rational Numbers: Identify
The learner will be able to identify from a group of numbers which are rational or irrational.
Strand Source Activities
Rational Numbers PA: Academic Standards, January 16, 1999, Grade 8, p.2,2.1.8.C Classroom
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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 Activities
Rational Numbers PA: Academic Standards, January 16, 1999, Grade 8, p.2,2.1.8.C (back mapped) Classroom
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Real Numbers and the Coordinate Plane

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 Activities
Graphing PA: Academic Standards, January 16, 1999, Grade 8, p.13,2.8.8.G Classroom
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Coordinate Plane: Problem Solving
The learner will be able to solve problems using coordinate points.
Strand Source Activities
Coordinate Geometry PA: System of School Assessment, 1997, Grade 8, p.12,#5 week tested: 30. Classroom
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Analyzing: Functions
The learner will be able to analyze and graph functions using graphing calculators and computer spreadsheets.
Strand Source Activities
Analyzing PA: Academic Standards, January 16, 1999, Grade 8, p.14,2.8.8.I Classroom
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Trigonometric Concepts
The learner will be able to identify right triangles in real life applications through real and scale models.
Strand Source Activities
Trigonometric Concepts PA: Academic Standards, January 16, 1999, Grade 8, p.18,2.10.8.A (back mapped) Classroom
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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 Activities
Triangles PA: Academic Standards, January 16, 1999, Grade 8, p.18,2.10.8.B Classroom
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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 Activities
Operations PA: System of School Assessment, 1997, Grade 8, p.11,#1 week tested: 30. Classroom
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