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Elkhorn Public Schools |
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Math |
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Mathematics - Grade 7 |
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Rounding: Problem Solving
The learner will be able to
round numbers to any appropriate place value within the context of a real-world problem.
| Strand |
Scope |
Source |
| Cardinal Numbers |
Master |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Pattern: Missing Element
The learner will be able to
identify a certain pattern and then use that pattern to determine the missing element in the pattern.
| Strand |
Scope |
Source |
| Cardinal Numbers |
Master |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Pattern: Missing Number/Operations
The learner will be able to
determine the missing number within a pattern which uses addition, subtraction, multiplication, or division.
| Strand |
Scope |
Source |
| Cardinal Numbers |
Master |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Place Value: Decimals
The learner will be able to
understand place value of decimal numbers.
| Strand |
Scope |
Source |
| Add Decimals |
Master |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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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 |
Scope |
Source |
| Cardinal Numbers |
Master |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Primes/Composites: Terms
The learner will be able to
understand and correctly use the terms prime and composite number.
| Strand |
Scope |
Source |
| Cardinal Numbers |
Master |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Prime/Composite Numbers
The learner will be able to
identify prime numbers, multiples of prime numbers, and composite numbers.
| Strand |
Scope |
Source |
| Cardinal Numbers |
Master |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Estimation Strategies: Whole Numbers
The learner will be able to
incorporate a variety of estimation techniques such as front-ending, clustering, averaging, rounding compatible numbers, and special cases, to check the reasonableness of solutions involving whole numbers.
| Strand |
Scope |
Source |
| Cardinal Numbers |
Master |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Estimation: Predict/Outcomes
The learner will be able to
predict outcomes from real-world data.
| Strand |
Scope |
Source |
| Cardinal Numbers |
Master |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Estimating: Percents
The learner will be able to
employ strategies for estimating the range of an answer, or the number of digits in an answer to addition, subtraction, multiplication, or division problems involving percents.
| Strand |
Scope |
Source |
| Cardinal Numbers |
Introduce |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Proportions: Problem Solving
The learner will be able to
solve problems involving whole numbers, integers, and rational numbers (fractions, decimals, ratios, proportions, and percents) both with and without the use of technology. Problems will be of varying complexities and can involve real-life data.
| Strand |
Scope |
Source |
| Cardinal Numbers |
Introduce |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Scientific Notation
The learner will be able to
identify and calculate numbers expressed in scientific notation.
| Strand |
Scope |
Source |
| Cardinal Numbers |
Introduce |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Compare Fractions
The learner will be able to
order and compare fractions, compare fractions with different denominators, compare a fraction with its lowest term, find a missing number in a fraction equation, and identify, from a list of fractions with different denominators, which fraction is the largest.
| Strand |
Scope |
Source |
| Compare Fractions |
Reinforce |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Fractions: Mixed/Represent
The learner will be able to
identify models representing mixed fractions.
| Strand |
Scope |
Source |
| Fractions |
Reinforce |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Fractions: Lowest Terms/Identify
The learner will be able to
identify a fraction which has been simplified to its lowest terms.
| Strand |
Scope |
Source |
| Fractions |
Reinforce |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Fractions: Convert Proper/Improper
The learner will be able to
identify the proper form of an improper fraction.
| Strand |
Scope |
Source |
| Fractions |
Reinforce |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Fractions: Manipulatives
The learner will be able to
identify manipulatives that represent fractions.
| Strand |
Scope |
Source |
| Fractions |
Master |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Fractions: Equivalent
The learner will be able to
identify equivalent fractions.
| Strand |
Scope |
Source |
| Equivalent Fractions |
Master |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Number Sense: Forms
The learner will be able to
apply relationships between fractions, decimals, and percents in a variety of situations.
| Strand |
Scope |
Source |
| Number Sense |
Master |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Fractions: Operations
The learner will be able to
add, subtract, multiply, and divide fraction numbers within the context of numerical problems.
| Strand |
Scope |
Source |
| Fractions |
Master |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Reasoning: Using Fractions
The learner will be able to
incorporate a variety of estimation techniques such as front-ending, clustering, averaging, rounding compatible numbers, and considering special cases, to check the reasonableness of solutions to problems involving fractions.
| Strand |
Scope |
Source |
| Reasoning/Estimation |
Introduce |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Ratio/Proportion/Percents
The learner will be able to
use and convert ratio, proportion, and percents.
| Strand |
Scope |
Source |
| Add Fractions |
Introduce |
Elkhorn Public Schools |
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Connecting: Models
The learner will be able to
make connections between the various models of fractions (area, length, and set) and understand how the different models can represent the same fractional part.
| Strand |
Scope |
Source |
| Connecting |
Introduce |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Decimals: Represent
The learner will be able to
represent decimal numbers using pictures, diagrams, or manipulatives.
| Strand |
Scope |
Source |
| Add Decimals |
Reinforce |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Decimals: Represent as Fractions
The learner will be able to
use manipulatives to represent decimals through thousandths as fractions.
| Strand |
Scope |
Source |
| Add Decimals |
Master |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Estimate Operations
The learner will be able to
estimate the sums, differences, products, and quotients of decimals.
| Strand |
Scope |
Source |
| Reasoning/Estimation |
Master |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Money: Estimating Large/Small Amounts
The learner will be able to
use prior knowledge to make reasonable estimations for possible prices of large and small items (cars, houses, candy, toys, etc.).
| Strand |
Scope |
Source |
| Money |
Master |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Decimal Operations
The learner will be able to
add, subtract, multiply, and divide decimal numbers within the context of numerical problems.
| Strand |
Scope |
Source |
| Computing |
Master |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Money: Story Problems/Operations
The learner will be able to
solve story problems which involve the addition, subtraction, multiplication, and division of money amounts written in decimal form.
| Strand |
Scope |
Source |
| Add Decimals |
Master |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Exponents: Integral and Square Roots
The learner will be able to
apply laws of integral exponents and/or square roots to simplify and/or evaluate algebraic expressions.
| Strand |
Scope |
Source |
| Exponents |
Master |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Expressions: Translate/Evaluate
The learner will be able to
translate and evaluate sentences into algebraic expressions and/or vice-versa.
| Strand |
Scope |
Source |
| Expressions |
Master |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Equivalent Expressions
The learner will be able to
identify an equivalent expression for a given expression.
| Strand |
Scope |
Source |
| Expressions |
Introduce |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Properties: Expressions
The learner will be able to
recognize and apply commutative, associative, distributive, inverse, identity, and reciprocal properties, and the properties of zero.
| Strand |
Scope |
Source |
| Properties |
Introduce |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Number Lines: Integers
The learner will be able to
identify a point described on an integer number line.
| Strand |
Scope |
Source |
| Number Lines |
Introduce |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Integers: Operations
The learner will be able to
perform basic operations with integers.
| Strand |
Scope |
Source |
| Absolute Value |
Introduce |
NE: Standards, February 6, 1998, Grade 8, 8.1.1. Elkhorn Public Schools. |
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Integers: Comparing
The learner will be able to
compare number sentences that include negative integers and ordering symbols (<, >, =).
| Strand |
Scope |
Source |
| Integers |
Introduce |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Percent Operations
The learner will be able to
add, subtract, multiply, and divide percent numbers within the context of numerical problems.
| Strand |
Scope |
Source |
| Calculate Percentages |
Introduce |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Rational Numbers
The learner will be able to
add, subtract, multiply, and divide rational numbers within the context of numerical problems.
| Strand |
Scope |
Source |
| Operations |
Introduce |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Order of Operations
The learner will be able to
use order of operations to evaluate algebraic expressions for given replacement values of the variables.
| Strand |
Scope |
Source |
| Operations |
Introduce |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Multi-Step Equations
The learner will be able to
obtain solutions to multi-step equations with one variable.
| Strand |
Scope |
Source |
| Algebraic Concepts |
Introduce |
NE: Standards, February 6, 1998, Grade 8, 8.6.2. |
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Functions: Notation/Substitution
The learner will be able to
demonstrate an understanding of function notation by substituting given values for the variable to determine the resulting value.
| Strand |
Scope |
Source |
| Functions |
Master |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Probability
The learner will be able to
identify the probability of a given situation.
| Strand |
Scope |
Source |
| Probability |
Reinforce |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Data: Interpret Charts
The learner will be able to
read, interpret, and extrapolate information from tables, charts, and graphs to make comparisons, predictions, and inferences.
| Strand |
Scope |
Source |
| Data |
Reinforce |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Permutations: Counting
The learner will be able to
count the number of possible arrangements (permutations) that can be made when ordering a set of objects.
| Strand |
Scope |
Source |
| Permutations |
Master |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Combinations: Enumeration Problems
The learner will be able to
solve combination problems of enumeration.
| Strand |
Scope |
Source |
| Combinations |
Master |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Measures of Central Tendency
The learner will be able to
calculate the mean, median, mode, and range from a set of data.
| Strand |
Scope |
Source |
| Average/Median/Mode/Range |
Master |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Events
The learner will be able to
explore concepts of dependent, independent, and mutually exclusive events.
| Strand |
Scope |
Source |
| Average/Median/Mode/Range |
Master |
Elkhorn Public Schools |
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Misuse of Statistics
The learner will be able to
recognize the use and misuse of statistics in the media.
| Strand |
Scope |
Source |
| Data Analysis |
Introduce |
Elkhorn Public Schools |
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Communicating: Circle Graphs
The learner will be able to
create appropriate circle graphs for information where the whole is known or can be predicted, and the information is being presented to communicate the relative size of the parts of a whole.
| Strand |
Scope |
Source |
| Communicating |
Introduce |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Time: Hours Elapsed
The learner will be able to
solve a story problem involving elapsed time (hours).
| Strand |
Scope |
Source |
| Time |
Reinforce |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Area Formulas: Recall/Apply
The learner will be able to
recall and apply formulas for calculating the area of the following regions: triangular, rectangular, trapezoidal, parallelogram, and circular in both standard and metric units.
| Strand |
Scope |
Source |
| Area |
Master |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Circumference: Diameter/Formula
The learner will be able to
find the circumference of a circular object when given the diameter and necessary formula.
| Strand |
Scope |
Source |
| Circumference |
Master |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Conversion: Within System
The learner will be able to
convert a measurement, within a system, to solve a problem.
| Strand |
Scope |
Source |
| Converting |
Master |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Exploring: Scale Drawings
The learner will be able to
explore scale drawings, models, and manipulatives and how they relate to the measurement of real objects.
| Strand |
Scope |
Source |
| Measurement: Exploring |
Master |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Estimation: Reasonableness
The learner will be able to
understand how to approximate and how to forecast when measurements are acceptable.
| Strand |
Scope |
Source |
| Measurement: Estimation |
Introduce |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Volume of Prisms/Cylinders/Models
The learner will be able to
select appropriate tools and properly measure quantities for volume and capacity in both standard and metric units.
| Strand |
Scope |
Source |
| Volume |
Introduce |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Indirect Measures: Similar Triangles
The learner will be able to
determine the measure of objects indirectly, through the use of similar triangles.
| Strand |
Scope |
Source |
| Direct/Indirect Measure |
Master |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Angles: Classify
The learner will be able to
sort angles by the magnitude of their measurements (acute, right, or obtuse).
| Strand |
Scope |
Source |
| Acute/Right/Obtuse Angles |
Reinforce |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Lines: Perpendicular/Parallel
The learner will be able to
identify and apply properties of both perpendicular and parallel lines.
| Strand |
Scope |
Source |
| Lines: Parallel/Perpendicular |
Reinforce |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Solids: Polyhedra/Classify
The learner will be able to
classify polyhedra.
| Strand |
Scope |
Source |
| Three-Dimensional Solids |
Master |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Similar and Congruence
The learner will be able to
determine corresponding parts of similar or congruent figures.
| Strand |
Scope |
Source |
| Angles |
Master |
NE: Standards, February 6, 1998, Grade 8, 8.4.2. Elkhorn Public Schools |
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Circle Concepts: Terms
The learner will be able to
identify, understand, and apply the following circle terms in both mathematical and geometric contexts: center, diameter, radius, and semicircle.
| Strand |
Scope |
Source |
| Circles |
Master |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Constructions
The learner will be able to
construct geometric figures using a ruler, protractor, or compass.
| Strand |
Scope |
Source |
| Angles |
Master |
Elkhorn Public Schools |
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Transformations: Exploring
The learner will be able to
apply transformations to geometric figures such as translations or slides, rotations or turns, reflections or flips, and scale or dilate.
| Strand |
Scope |
Source |
| Transformations |
Introduce |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Pythagorean Theorem: Understand/Apply
The learner will be able to
comprehend and use geometric properties and relationships of the Pythagorean Theorem.
| Strand |
Scope |
Source |
| Pythagorean Theorem |
Introduce |
NE: Standards, February 6, 1998, Grade 8, 8.4.2 |
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Real Numbers and the Coordinate Plane
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Coordinate Plane: Ordered Pairs/Plot
The learner will be able to
plot positions identified by ordered pairs on a coordinate grid.
| Strand |
Scope |
Source |
| Coordinate Geometry |
Introduce |
NE: Standards, February 6, 1998, Grade 8, 8.6.1 |
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Coordinate Systems: 1D/Understand/Use
The learner will be able to
show an understanding and use one-dimensional coordinate system.
| Strand |
Scope |
Source |
| Coordinate Geometry |
Introduce |
NE: Standards, February 6, 1998, Grade 8, 8.6.1 |
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Coordinate Systems: 2D/Understand/Use
The learner will be able to
show an understanding and use two-dimensional coordinate system.
| Strand |
Scope |
Source |
| Coordinate Geometry |
Introduce |
NE: Standards, February 6, 1998, Grade 8, 8.6.1 |
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Three-Dimensional Space: Coordinates
The learner will be able to
identify coordinates in three-dimensional space.
| Strand |
Scope |
Source |
| Three-Dimensional Space |
Introduce |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Graphing: Equations/Two Variables
The learner will be able to
graph an equation in two variables by producing a table of ordered pairs.
| Strand |
Scope |
Source |
| Graphing |
Introduce |
NE: Standards, February 6, 1998, Grade 8, 8.6.1. Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Missing/Extraneous Information
The learner will be able to
recognize that relevant information may be missing, and/or determine the presence of extraneous information and eliminate it.
| Strand |
Scope |
Source |
| Irrelevant/Necessary Information |
Reinforce |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
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Strategies: Repertoire
The learner will be able to
pose, explore, and solve a variety of problems (including non-routine, multiple-step, open-ended, overlapping, and unclear problems) using a repertoire of strategies.
| Strand |
Scope |
Source |
| Strategies |
Master |
Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30 |
|
Problem Solving: Communication
The learner will be able to
communicate orally or in written form explanations of various concepts.
| Strand |
Scope |
Source |
| Analyzing Problems |
Master |
Elkhorn Public Schools |
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Data Collection
The learner will be able to
collect data.
| Strand |
Scope |
Source |
| Data Collection and Classification |
Master |
NE: Standards, February 6, 1998, Grade 8, 8.5.1 |
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Charts and Graphs
The learner will be able to
identify and apply appropriate charts and graphs.
| Strand |
Scope |
Source |
| Tables/Charts |
Master |
NE: Standards, February 6, 1998, Grade 8, 8.5.4 |
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Stem-and-Leaf/Scatterplots
The learner will be able to
interpret data shown in a stem-and-leaf graphs and scatterplots.
| Strand |
Scope |
Source |
| Stem-and-Leaf/Box-and-Whisker Plots |
Master |
Stanford Achievement Test (SAT-9), Version 9, Advanced 2 week tested: 30. |
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Analyzing: Graphical Forms
The learner will be able to
formulate comparisons, predictions, and inferences by reading and interpreting tables, charts, and graphs.
| Strand |
Scope |
Source |
| Analyzing/Evaluating Graphical Forms |
Master |
NE: Standards, February 6, 1998, Grade 8, 8.5.2 |
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Graphs: Extrapolate
The learner will be able to
extrapolate to estimate values not given on graphs.
| Strand |
Scope |
Source |
| Graphing |
Master |
Stanford Achievement Test (SAT-9), Version 9, Advanced 2 week tested: 30. |
|
Graphs: Frequency Tables/Histograms
The learner will be able to
apply the concepts of frequency tables, frequency polygons, and histograms in depicting data in problem contexts, and interpret the findings.
| Strand |
Scope |
Source |
| Graphing |
Introduce |
Stanford Achievement Test (SAT-9), Version 9, Advanced 2 week tested: 30. |
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