Illinois State Standards Alignments Grades Three through Eleven

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Illinois State Standards Alignments

Grades Three through Eleven

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Standards list with Aligned Product Skills

The Standards list with Aligned Product Skills Report is a

standards-oriented document showing the entire list of standards for the subject and

grade on the left side of the report with the aligning product objectives on

the right side. This alignment report shows the breadth of standards

coverage for the purpose and focus of this product.

Note to Educator ...iii

Grade 3

... 1

Grade 4

... 8

Grade 5

...15

Grade 6

...23

Grade 7

...32

Grade 8

...41

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Note to Educator:

Thank you for your interest in Renaissance Learning technology. The attached document

contains the alignment between the software and/or instructional materials and the skills

described in the state standards documentation.

At Renaissance Learning, we recognize the impact that the standards-based reform

movement and high-stakes standardized testing have on schools, and we share the

concerns of educators and administrators that students perform well on high-stakes

assessments.

We hope this report answers your questions regarding the alignment of Renaissance

Learning technology and materials to your state standards. If you have any questions

about the attached document, please feel free to call us at (800) 338-4204.

Sincerely,

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Standard Skill Area Description Skill Description IL 6 - Demonstrate and apply a

knowledge and sense of numbers, including numeration and operations (addition, subtraction, multiplication, division), patterns, ratios and proportions.

IL 6A - Representations and Ordering - Read, Write, and Represent Numbers

IL 6.3.01 - Read, write, recognize,

and model equivalent representations of whole numbers and their place values up to 100,000.

Skill Area 3 - Numeration

Concepts Skill 13place value of digits - N08 - Hundreds: Identify

Skill 14 - N09 - Hundreds: Write

numerals in expanded form

Skill 17 - N13 - Thousands: Identify

place value of digits

Skill 18 - N14 - Thousands: Write

Skill 21 - N18 - Ten thousands,

hundred thousands, millions, billions: Identify place value of digits

hundred thousands, millions, billions: Write numerals in expanded form

IL 6.3.02 - Identify and write (in words

and standard form) whole numbers up to 100,000.

Concepts

Skill 3 - NA3 - Ones: Relate

numerals and number words

Skill 8 - N03 - Tens: Relate numeral

and number word

Skill 12 - N07 - Hundreds: Relate

numeral and number word

Skill 16 - N12 - Thousands: Relate

hundred thousands, millions, billions: Relate numeral and number word

IL 6.3.03 - Recognize a fraction

represented with a pictorial model.

IL 6.3.04 - Represent multiplication

as repeated addition.

- Order and Compare Numbers IL 6.3.05 - Order and compare whole

numbers up to 10,000 using symbols (>, <, or =) and words (e.g., greater (more) than, less than, equal to, between).

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Standard Skill Area Description Skill Description

Skill 11 - N06 - Hundreds: Place

numerals in order of value

Skill 15 - N11 - Thousands: Place

IL 6.3.06 - Order and compare

decimals expressed using monetary units.

- Number Line

IL 6.3.07 - Identify and locate whole

numbers and halves on a number line.

Concepts Skill 5on a number line - N00 - Ones: Locate numbers

- Classifications of Numbers IL 6.3.08 - Solve problems involving

descriptions of numbers, including characteristics and relationships (e.g., odd/even, factors/multiples, greater than, less than).

Concepts Skill 6(10-99) in order of value - N01 - Tens: Place numerals

Skill 9 - N04 - Tens: Identify one

more/one less across decades

IL 6B 6C - Computation, Operations,

Estimation, and Properties

- Number Operations

IL 6.3.09 - Solve problems and

number sentences involving addition and subtraction with regrouping.

Skill Area 4 - Computation

Processes Skill 8facts with regrouping (2d+1d, 2d+2d) - C08 - Addition beyond basic

Skill 9 - C09 - Subtraction beyond

basic facts with regrouping (1d, 2d-2d)

Skill 10 - C10 - Addition beyond

basic facts with double regrouping (3d+2d, 3d+3d)

basic facts with double regrouping (3d-2d, 3d-3d)

Skill Area 9 - Word Problems Skill 4 - W08 - Word problems:

Addition beyond basic facts with regrouping (2d+1d, 2d+2d)

Skill 5 - W09 - Word problems:

Subtraction beyond basic facts with regrouping (2d-1d, 2d-2d)

IL 6.3.10 - Solve problems involving

the value of a collection of bills and coins whose total value is $10.00 or less, and make change.

IL 6.3.11 - Model and apply basic

multiplication facts (up to 10×10), and apply them to related multiples of 10 (e.g., 3×4=12, 30×4=120).

Processes

Skill 12 - C12 - Multiplication basic

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Multiplication of basic facts

- Properties

IL 6.3.12 - Use the inverse

relationships between addition and subtraction to complete basic fact sentences and solve problems (e.g., 5 + 3 = 8 and 8 - 3 = __).

the multiplicative identity of one (e.g., 3×1 =3) and the additive identity of zero (e.g., 3+0 =3).

Concepts Skill 10concept of zero - N05 - Tens: Understand the

- Estimation

IL 6.3.14 - Make estimates

appropriate to a given situation with whole numbers.

IL 6D - Ratios, Proportions, and

Percents

- Identify and Express Ratios - Proportional Reasoning - Percents

IL 7 - Estimate, make and use

measurements of objects, quantities and relationships and determine acceptable levels of accuracy.

Skill Area 7 - Measurement Skill 10 - M02 - Customary

measures: Estimating linear measures

Skill 15 - M08 - Estimating linear

measure in metric units.

IL 7A 7B 7C - Units, Tools,

Estimation, and Applications

- Elapsed Time

simple elapsed time in compound units (e.g., hours, minutes, days).

- Measurement Tools IL 7.3.02 - Select and use

appropriate standard units and tools to measure length (to the nearest inch or cm), time (to the nearest minute), and temperature (to the nearest degree).

- Area , Perimeter, and Circumference

the perimeter of a polygon with given side lengths or a given non-standard unit (e.g., paperclip).

Skill Area 6 - Geometry Skill 11 - G03 - Perimeter: square

Skill 12 - G04 - Perimeter: rectangle Skill 13 - G05 - Perimeter: triangle

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Standard Skill Area Description Skill Description IL 7.3.04 - Solve problems involving

the area of a figure when whole and half square units are shown within the figure.

- Estimation

IL 7.3.05 - Compare and estimate

length (including perimeter), area, and weight/mass using referents.

- Volume and Surface Area

IL 7.3.06 - Determine the volume of a

solid figure that shows cubic units.

- Measurement Conversions IL 7.3.07 - Solve problems involving

simple unit conversions within the same measurement system for time and length.

Skill Area 7 - Measurement Skill 9 - M01 - Customary measures:

Inches, feet, yards

- Indirect Measurements and Scale Drawings

IL 8 - Use algebraic and analytical

methods to identify and describe patterns and relationships in data, solve problems and predict results.

IL 8A - Representations, Patterns,

and Expressions

- Patterns

IL 8.3.01 - Determine a missing term

in a pattern (sequence), describe a pattern (sequence), and extend a pattern (sequence) when given a description or pattern (sequence).

Skill Area 6 - Geometry Skill 9 - G01 - Identify numeric

patterns

Skill Area 10 - Algebra Skill 1 - A00 - Can skip count by 2, 5,

10 in ascending order

- Write and Simplify Expressions IL 8.3.02 - Write an expression to

represent a given situation.

- Evaluate Algebraic Expressions IL 8B - Connections Using Tables,

Graphs, and Symbols

- Describing Change - Coordinate System - Representations - Inequalities

IL 8C 8D - Writing, Interpreting, and

Solving Equations

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Standard Skill Area Description Skill Description IL 8.3.03 - Represent simple

mathematical relationships with number sentences (equations and inequalities).

- Solve Equations and Inequalities IL 8.3.04 - Solve one-step addition

and subtraction equations that have a missing number or missing operation sign (e.g., 3 + __ = 5, 6 __ 1 = 7).

Skill Area 10 - Algebra Skill 2 - A01 - Simple number

sentence

IL 8.3.05 - Solve word problems

involving unknown quantities.

IL 9 - Use geometric methods to

analyze, categorize and draw conclusions about points, lines, planes and space.

IL 9A - Properties of Single Figures

and Coordinate Geometry

- Properties of Single Figures IL 9.3.01 - Identify, describe, and

sketch two-dimensional shapes (triangles, squares, rectangles, pentagons, hexagons, and octagons) according to the number of sides, length of sides, and number of vertices.

Skill Area 6 - Geometry Skill 6 - GA6 - Recognize elements

of basic shapes

IL 9.3.02 - Identify and describe

three-dimensional shapes (cubes, spheres, cones, cylinders, prisms, and

pyramids) according to their characteristics (faces, edges, vertices).

Skill Area 6 - Geometry Skill 7 - GA7 - Identify common solid

shapes

- Circles

- Coordinate Geometry

IL 9.3.03 - Locate and identify points

using numbers and symbols on a grid, and describe how points relate to each other on a grid (e.g., "heart symbol" is 2 units below "sun

symbol", point A is 3 units to the right of point B).

- Symmetry

IL 9.3.04 - Identify whether or not a

figure has a line of symmetry, and sketch or identify the line of symmetry.

Skill Area 6 - Geometry Skill 5 - GA5 - Understand basic

symmetry

- Transformations

IL 9.3.05 - Identify images resulting

from flips (reflections), slides (translations), or turns (rotations).

Skill Area 6 - Geometry Skill 3 - GA3 - Identify common plane

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Standard Skill Area Description Skill Description - Lines, Segments, Rays, and

Angles

IL 9.3.06 - Identify parallel lines. Skill Area 6 - Geometry Skill 21 - G14 - Identify parallel lines IL 9B - Relationships Between and

Among Multiple Figures

- Relationships Between Two- and Three-Dimensional Objects

IL 9.3.07 - Identify the

two-dimensional components of a three-dimensional object (e.g., a cube has square faces).

IL 9.3.08 - Identify a

three-dimensional object from its net.

- Composing and Decomposing Figures

IL 9.3.09 - Predict the result of putting

shapes together (composing) and taking them apart (decomposing).

- Congruency and Similarity IL 9.3.10 - Identify congruent and

similar figures by visual inspection.

- Distance

IL 9.3.11 - Determine the distance

between two points on the number line in whole numbers.

IL 9C - Justifications of Conjectures

and Conclusions

IL 9D - Trigonometry

IL 10 - Collect, organize and analyze

data using statistical methods; predict results; and interpret uncertainty using concepts of probability.

IL 10A 10B - Data Analysis and

Statistics

- Read and Interpret Displays IL 10.3.01 - Read and interpret data

represented in a pictograph, bar graph, Venn diagram (with two circles), tally chart, or table.

Skill Area 8 - Data Analysis and

Statistics Skill 1 - SA1 - Read tally charts

Skill 2 - S00 - Read simple

pictographs

Skill 3 - S01 - Read table Skill 4 - S02 - Read bar graph Skill 6 - S04 - Interpret table Skill 7 - S05 - Interpret bar graph - Complete and Create Displays

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Standard Skill Area Description Skill Description IL 10.3.02 - Complete missing parts

of a pictograph, bar graph, tally chart, or table for a given set of data.

- Line of Best Fit - Statistics

IL 10.3.03 - Determine the mode,

given a set of data or a graph.

IL 10C - Probability - Probability

IL 10.3.04 - Classify events using

words such as certain, most likely, equally likely, least likely, possible, and impossible.

IL 10.3.05 - Describe the chances

associated with a context presented visually, including using the response format "3 out of 4."

- Outcomes and Counting Principles

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and model equivalent representations of whole numbers and their place values up to 1,000,000.

Concepts Skill 13place value of digits - N08 - Hundreds: Identify

Skill 14 - N09 - Hundreds: Write

Skill 17 - N13 - Thousands: Identify

place value of digits

Skill 18 - N14 - Thousands: Write

IL 6.4.02 - Identify and write (in words

and standard form) whole numbers up to 1,000,000.

Concepts

Skill 12 - N07 - Hundreds: Relate

Skill 16 - N12 - Thousands: Relate

and model equivalent representations of fractions; divide regions or sets to represent a fraction.

Concepts Skill 23decimals: Convert fraction to - N21 - Fractions and equivalent fraction

numbers up to 100,000.

Concepts

hundred thousands, millions, billions: Place numerals in order of value

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Standard Skill Area Description Skill Description IL 6.4.07 - Order and compare

fractions having like denominators with or without models.

- Number Line

numbers, halves, and fourths on a number line.

Concepts Skill 5on a number line - N00 - Ones: Locate numbers

descriptions of numbers, including characteristics and relationships (e.g., odd/even, factors/multiples, greater than, less than).

Concepts Skill 9more/one less across decades - N04 - Tens: Identify one

number sentences involving addition and subtraction with regrouping and multiplication (up to three-digit by one-digit).

Processes Skill 8facts with regrouping (2d+1d, 2d+2d) - C08 - Addition beyond basic

basic facts with regrouping (1d, 2d-2d)

Skill 14 - C14 - Multiplication beyond

basic facts, no regrouping (2dx1d)

Skill 18 - C18 - Addition of whole

numbers: any difficulty

Skill 19 - C19 - Subtraction whole

Multiplication beyond basic facts, no regrouping (2dx1d)

Addition of whole numbers, any difficulty

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Subtraction of whole numbers, any difficulty

the value of a collection of bills and coins whose total value is $100.00 or less, and make change.

IL 6.4.12 - Model and apply basic

multiplication and division facts (up to 12×12), and apply them to related multiples of 10 (e.g., 3×9=27, 30×9=270, 6÷3=2, 600÷3=200).

IL 6.4.13 - Model situations involving

addition and subtraction of fractions with like denominators.

- Properties

the commutative and distributive properties of operations on whole numbers [e.g., 8 + 7 = 7 + 8, 27 × 5 = (20×5) + (7×5)].

IL 6.4.15 - Use the inverse

relationships between addition/subtraction and

multiplication/division to complete basic fact sentences and solve problems (e.g., 4×3=12, 12÷3=__).

- Estimation

appropriate to a given situation with whole numbers.

Skill Area 7 - Measurement Skill 10 - M02 - Customary

measures: Estimating linear measures

Skill 15 - M08 - Estimating linear

Percents

- Identify and Express Ratios - Proportional Reasoning - Percents

- Elapsed Time

elapsed time in compound units (e.g., 1 hour and 40 minutes) that occur in the same half day (a.m. only or p.m. only).

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Standard Skill Area Description Skill Description - Measurement Tools

IL 7.4.02 - Select and use

appropriate standard units and tools to measure length (to the nearest ½ inch or ½ cm), time, and temperature.

the perimeter of a polygon with given side lengths and the area of a square, rectangle, or irregular shape composed of rectangles using diagrams, models, and grids or by measuring (may include sketching a figure from its description).

Skill Area 6 - Geometry Skill 11 - G03 - Perimeter: square

Skill 12 - G04 - Perimeter: rectangle Skill 13 - G05 - Perimeter: triangle Skill 14 - G06 - Area: square - Estimation

length (including perimeter), area, volume, and weight/mass using referents.

solid figure that shows cubic units.

- Measurement Conversions IL 7.4.06 - Solve problems involving

unit conversions within the same measurement system for time, length, and weight/mass.

and Expressions

- Patterns

in a pattern (sequence), describe a pattern (sequence), and extend a pattern (sequence) when given a description or pattern (sequence).

patterns

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Standard Skill Area Description Skill Description IL 8.4.02 - Write an expression using

letters or symbols to represent an unknown quantity.

- Evaluate Algebraic Expressions IL 8.4.03 - Evaluate algebraic

expressions with a whole number variable value (e.g., evaluate 3 + m when m = 4).

IL 8B - Connections Using Tables,

Graphs, and Symbols

- Describing Change

IL 8.4.04 - Identify or represent

situations with well-defined patterns using words, tables, and graphs (e.g., represent temperature and time in a line graph).

- Coordinate System - Representations

IL 8.4.05 - Translate between

different representations (table, written, or pictorial) of whole number relationships.

- Inequalities

Solving Equations

- Write Equations and Inequalities IL 8.4.06 - Represent simple

mathematical relationships with number sentences (equations and inequalities).

Skill Area 10 - Algebra Skill 3 - A02 - Translate word

problem to equation

- Solve Equations and Inequalities IL 8.4.07 - Solve for the unknown in

an equation with one operation (e.g., 10=__+3+2, __-1=3).

Skill Area 10 - Algebra Skill 2 - A01 - Simple number

sentence

involving unknown quantities. Skill Area 9 - Word Problems Skill 31Ratios - W42 - Word problems:

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Standard Skill Area Description Skill Description IL 9.4.01 - Identify, describe, and

sketch two-dimensional shapes (triangles, quadrilaterals, pentagons, hexagons, and octagons) according to the number of sides, length of sides, number of vertices, and right angles.

shapes

IL 9.4.03 - Differentiate between

polygons and non-polygons

- Circles

IL 9.4.04 - Graph, locate, identify

points, and describe paths using ordered pairs (first quadrant).

- Symmetry

figure has one or more lines of symmetry, and sketch or identify all lines of symmetry.

IL 9.4.06 - Identify images resulting

from flips (reflections), slides (translations), or turns (rotations).

- Lines, Segments, Rays, and Angles

IL 9.4.07 - Identify and sketch parallel

and perpendicular lines. Skill Area 6 - Geometry Skill 21 - G14 - Identify parallel lines

Skill 23 - G16 - Identify perpendicular

lines

IL 9.4.08 - Identify and sketch right

angles.

IL 9B - Relationships Between and

two-dimensional components of a three-dimensional object.

IL 9.4.11 - Predict the result of

composing or decomposing shapes or figures.

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Standard Skill Area Description Skill Description - Congruency and Similarity

IL 9.4.12 - Identify congruent and

- Distance

between two points on the number line in whole numbers.

and Conclusions

Statistics

- Read and Interpret Displays IL 10.4.01 - Read and interpret data

represented in a pictograph, bar graph, line (dot) plot, Venn diagram (with two circles), tally chart, table, line graph, or circle graph.

Statistics

Skill 2 - S00 - Read simple

pictographs

Skill 4 - S02 - Read bar graph Skill 6 - S04 - Interpret table Skill 7 - S05 - Interpret bar graph Skill 8 - S06 - Interpret pie graph - Complete and Create Displays

IL 10.4.02 - Create a pictograph, bar

graph, tally chart, or table for a given set of data.

IL 10.4.03 - Determine the mode and

range, given a set of data or a graph.

IL 10.4.04 - Classify events using

words such as certain, most likely, equally likely, least likely, possible, and impossible.

IL 10.4.05 - Describe the chances

associated with a context presented visually, including using the response format "3 out of 4" or ¾.

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and model equivalent representations of whole numbers and their place values up to 100,000,000.

Concepts Skill 21hundred thousands, millions, billions: - N18 - Ten thousands, Identify place value of digits

model, and interpret numerical expressions from a given description or situation.

and model equivalent representations of fractions, including improper fractions and mixed numbers.

Skill 30 - N28 - Fractions and

decimals: Convert improper fraction to mixed number

IL 6.5.04 - Recognize, translate

between, and model multiple

representations of decimals, fractions less than one (halves, quarters, fifths, and tenths), and percents (0%, 25%, 50%, 75%, and 100%).

and model decimals and their place values through thousandths.

Concepts Skill 27decimals: Identify place value of - N25 - Fractions and digits in decimals

numbers up to 1,000,000.

Concepts

hundred thousands, millions, billions: Place numerals in order of value

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Standard Skill Area Description Skill Description IL 6.5.09 - Order and compare

fractions having like or unlike denominators with or without models.

- Number Line

numbers, halves, fourths, and thirds on a number line.

descriptions of numbers, including characteristics and relationships (e.g., odd/even, factors/multiples, greater than, less than, square numbers).

Concepts

Skill 41 - N39 - Advanced concepts:

Can determine greatest common factor

Can determine least common multiple

number sentences involving addition, subtraction, multiplication, and division using whole numbers.

Processes

Skill 16 - C16 - Multiplication with

regrouping (2dx1d, 2dx2d)

Skill 17 - C17 - Division with

remainders (2d/1d, 3d/1d)

Skill 20 - C21 - Division of whole

Multiplication beyond basic facts, no regrouping (2dx1d)

Division beyond basic facts, no remainders (2d/1d)

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Multiplication with regrouping (2dx1d, 2dx2d)

Division with remainders (2d/1d, 3d/1d)

Multiplication of whole numbers, any difficulty

Division of whole numbers, any difficulty

number sentences involving addition and subtraction of decimals through hundredths (with or without monetary labels).

Processes

Skill 31 - C33 - Addition of decimals,

place change (e.g. 2 + .45)

Skill 32 - C35 - Subtraction of

decimals, place change (e.g. 5-.4)

Addition of decimals, place change (e.g. 2+.45)

Subtraction of decimals, place change (e.g. 5-.4)

IL 6.5.14 - Model situations involving

addition and subtraction of fractions.

- Properties

the commutative, distributive, and identity properties of operations on whole numbers (e.g., 37 × 46 = 46 × 37, 270×5= (200×5) + (70×5)].

- Estimation

appropriate to a given situation with whole numbers, fractions, and decimals.

Percents

- Identify and Express Ratios IL 6.5.17 - Identify and express ratios

using appropriate notation (i.e., a/b, a to b), and identify equivalent ratios.

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Standard Skill Area Description Skill Description - Proportional Reasoning

proportional relationships, including unit pricing (e.g., one apple costs 20¢, so four apples cost 80¢).

Processes Skill 38 - C41 - Proportions

Skill 39 - C42 - Ratios

Ratios

- Percents

and model percents (0%, 25%, 50%, 75%, and 100%).

- Elapsed Time

elapsed time in compound units.

- Measurement Tools IL 7.5.02 - Select and use

appropriate standard units and tools to measure length (to the nearest ¼ inch or mm), mass/weight, capacity, and angles.

the perimeter and area of a triangle, rectangle, or irregular shape using diagrams, models, and grids or by measuring or using given formulas (may include sketching a figure from its description).

Skill Area 6 - Geometry Skill 12 - G04 - Perimeter: rectangle

Skill 13 - G05 - Perimeter: triangle Skill 15 - G07 - Area: rectangle Skill 16 - G08 - Area: right triangle - Estimation

length (including perimeter), area, volume, weight/mass, and angles (0° to 180°) using referents.

right rectangular prism using an appropriate formula or strategy.

Skill Area 6 - Geometry Skill 18 - G10 - Volume: rectangular

prism

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unit conversions within the same measurement system for time, length, and weight/mass, including compound units (e.g., 5ft 5in, 2lbs 2oz).

Skill Area 7 - Measurement Skill 9 - M01 - Customary measures:

Inches, feet, yards

map interpretation (e.g., one inch represents five miles, so two inches represent ten miles).

and Expressions

- Patterns

in a sequence, extend a sequence, and identify errors in a sequence when given a description or sequence.

patterns

IL 8.5.02 - Construct and identify a

rule that can generate the terms of a given sequence.

- Write and Simplify Expressions IL 8.5.03 - Write an expression using

variables to represent unknown quantities.

expressions with a whole number variable value (e.g., evaluate m + m + 3 when m = 4).

Graphs, and Symbols

IL 8.5.05 - Demonstrate, in simple

situations, how a change in one quantity results in a change in another quantity (e.g., input-output tables).

- Coordinate System - Representations

IL 8.5.06 - Translate between

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Standard Skill Area Description Skill Description - Inequalities

Solving Equations

- Write Equations and Inequalities IL 8.5.07 - Represent problems with

equations and inequalities.

an equation with one operation (e.g., 2+n=20, n÷2=6).

- Properties of Single Figures IL 9.5.01 - Classify, describe, and

sketch two-dimensional shapes (triangles, quadrilaterals, pentagons, hexagons, and octagons) according to the number of sides, length of sides, number of vertices, and interior angles (right, acute, obtuse).

shapes

IL 9.5.03 - Solve problems using

properties of triangles (e.g., sum of interior angles of a triangle is 180°).

- Circles

IL 9.5.04 - Identify, describe, and

sketch circles, including radius and diameter.

points, and describe paths using ordered pairs (first quadrant).

- Symmetry

figure has one or more lines of symmetry, and sketch or identify all lines of symmetry.

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Standard Skill Area Description Skill Description - Transformations

predict results of reflections, translations, and rotations of two-dimensional shapes.

IL 9.5.08 - Identify and sketch

parallel, perpendicular, and intersecting lines.

Skill Area 6 - Geometry Skill 21 - G14 - Identify parallel lines

lines

IL 9.5.09 - Identify and sketch acute,

right, and obtuse angles. Skill Area 6 - Geometry Skill 28(obtuse, etc.) - G21 - Classify angles

two-dimensional components of a three-dimensional object.

IL 9.5.12 - Predict the result of

composing or decomposing shapes or figures.

IL 9.5.14 - Determine if figures are

similar, and identify relationships between corresponding parts of similar figures.

- Distance

between two points on a horizontal or vertical number line in whole

numbers.

and Conclusions

Statistics

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Standard Skill Area Description Skill Description IL 10.5.01 - Read, interpret, and

make predictions from data represented in a pictograph, bar graph, line (dot) plot, Venn diagram (with two circles), chart/table, line graph, or circle graph.

Statistics Skill 3 - S01 - Read table

Skill 4 - S02 - Read bar graph Skill 5 - S03 - Read pie graph Skill 6 - S04 - Interpret table Skill 7 - S05 - Interpret bar graph Skill 8 - S06 - Interpret pie graph - Complete and Create Displays

IL 10.5.02 - Create a pictograph, bar

graph, chart/table, or line graph for a given set of data.

range, median (with an odd number of data points), and mean, given a set of data or a graph.

Statistics Skill 9 - S07 - Statistics: Mean

the probability of a simple event, including representing the probability as a fraction between zero and one.

Statistics Skill 11 - S11 - Probability: Simple

IL 10.5.05 - Apply the fundamental

counting principle in a simple problem (e.g., How many different

combinations of one-scoop ice cream cones can be made with 3 flavors and 2 types of cones?).

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and model equivalent representations of whole numbers and their place values.

Concepts Skill 20hundred thousands, millions, billions: - N17 - Ten thousands, Relate numeral and number word

model, and interpret numerical expressions from a given description or situation.

and model equivalent representations of fractions, including improper fractions and mixed numbers.

between, and apply multiple representations of decimals,

fractions, percents (less than 100%), and mixed numbers (halves,

quarters, fifths, and tenths).

Concepts Skill 24decimals: Convert fraction to decimal - N22 - Fractions and

decimals: Convert decimal to fraction

decimals: Relate decimals to percents

and model equivalent representations of decimals and their place values through thousandths.

Concepts Skill 26decimals: Read word names for - N24 - Fractions and decimals to thousandths

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decimals: Identify place value of digits in decimals

IL 6.6.06 - Represent repeated

factors using exponents.

numbers. Skill Area 3Concepts - Numeration Skill 19hundred thousands, millions, billions: - N16 - Ten thousands, Place numerals in order of value

decimals through thousandths.

fractions and mixed numbers having like or unlike denominators.

- Number Line

IL 6.6.10 - Identify and locate

decimals, fractions, and mixed numbers on a number line.

Concepts

decimals: Identify position of decimals on number line

decimals: Identify position of fractions on number line

descriptions of numbers, including characteristics and relationships (e.g., odd/even, factors/multiples, greater than, less than, square numbers, primes).

Concepts Skill 40Knows meaning of primes and - N38 - Advanced concepts: composites

number sentences involving addition, subtraction, multiplication, and division using whole numbers.

Processes Skill 16regrouping (2dx1d, 2dx2d) - C16 - Multiplication with

Skill 17 - C17 - Division with

remainders (2d/1d, 3d/1d)

Skill 20 - C21 - Division of whole

(29)

Division beyond basic facts, no remainders (2d/1d)

Multiplication with regrouping (2dx1d, 2dx2d)

Division with remainders (2d/1d, 3d/1d)

Multiplication of whole numbers, any difficulty

Division of whole numbers, any difficulty

Skill 22 - W2S - Word problems:

Two-step

number sentences involving addition, subtraction, and multiplication of decimals.

Processes Skill 31place change (e.g. 2 + .45) - C33 - Addition of decimals,

Skill 33 - C36 - Multiplication of

decimals

Addition of decimals, place change (e.g. 2+.45)

Multiplication of decimals

addition and subtraction of fractions and mixed numbers, and express answers in simplest form.

Processes Skill 21like single digit denominators - C22 - Addition of fractions:

fractions: like single digit denominators

Skill 23 - C24 - Addition of fractions:

unlike single digit denominators

fractions: unlike single digit denominators

(30)

Skill 27 - C28 - Addition of mixed

numbers

Skill 28 - C29 - Subtraction of mixed

numbers

Addition of fractions, unlike single digit denominators

Subtraction of fractions, unlike single digit denominators

Addition of mixed numbers

Subtraction of mixed numbers

IL 6.6.15 - Identify and apply order of

operations to simplify numeric expressions involving whole numbers.

- Properties

the commutative, distributive, and associative properties of operations on whole numbers [e.g., (5×7)×2 = 5×(7×2)].

- Estimation

appropriate to a given situation, and analyze what effect the estimation method used has on the accuracy of results.

Percents

- Identify and Express Ratios IL 6.6.18 - Identify and express ratios

using appropriate notation (i.e., a/b, a to b, a:b), identify equivalent ratios, and explain ratios that represent a given situation.

- Proportional Reasoning

proportional relationships, including unit pricing (e.g., seven apples cost $1.40, so nine apples cost $1.80).

Processes Skill 38 - C41 - Proportions

Proportions

- Percents

and model percents from 0% to 100%.

(31)

Standard Skill Area Description Skill Description IL 6.6.21 - Solve number sentences

and problems involving percents. Skill Area 5 - Estimation Skill 17Percent A (10 is what % of 40) - E38 - Estimation problems:

Skill 18 - E39 - Estimation problems:

Percent B (20% of 50 is what)

Skill 19 - E40 - Estimation problems:

Percent C (30 is 50% of what)

Percent A (10 is what % of 40)

Skill Area 7 - Measurement Skill 15 - M08 - Estimating linear

- Elapsed Time - Measurement Tools IL 7.6.01 - Select and use

appropriate standard units and tools to measure length, mass/weight, capacity, and angles.

the perimeter and area of a triangle, parallelogram, or irregular shape using diagrams, models, and grids or by measuring or using given formulas (may include sketching a figure from its description).

Skill Area 6 - Geometry Skill 14 - G06 - Area: square

Skill 15 - G07 - Area: rectangle Skill 16 - G08 - Area: right triangle - Estimation

length (including perimeter), area, volume, weight/mass, and angles (0° to 180°) using referents.

right rectangular prism using an appropriate formula or strategy.

Skill Area 6 - Geometry Skill 18 - G10 - Volume: rectangular

prism

(32)

unit conversions within the same measurement system for time, length, and weight/mass, including compound units (e.g., 5ft 5in, 2lbs 2oz).

scale drawings and maps.

and Expressions

- Patterns

in a sequence, extend a sequence, and construct and identify a rule that can generate the terms of a given sequence (e.g., 3, 6, 9,... is explained by the rule 3n, for n is greater than or equal to 1).

- Write and Simplify Expressions IL 8.6.02 - Write an expression using

variables to represent unknown quantities.

expressions with up to two whole number variable values (e.g., evaluate 3m + n + 3 when m = 4 and n = 2).

Graphs, and Symbols

IL 8.6.04 - Determine a rule having

two operations from an input-output table (e.g., multiply by 3 and add 2).

- Coordinate System

IL 8.6.05 - Select a table of values

that satisfies a linear equation, and recognize the ordered pairs on a rectangular coordinate system.

(33)

Standard Skill Area Description Skill Description IL 8.6.06 - Translate between

- Inequalities

IL 8.6.07 - Identify graphs of

inequalities on a number line.

Skill Area 10 - Algebra Skill 10 - A09 - Graph linear

inequalities

Solving Equations

- Write Equations and Inequalities IL 8.6.08 - Represent problems with

equations and inequalities.

Skill Area 10 - Algebra Skill 3 - A02 - Translate word

problem to equation

an equation with one operation (e.g., 8x = 24, m÷2=25).

- Properties of Single Figures IL 9.6.01 - Classify, describe, and

sketch regular and irregular two-dimensional shapes according to the number of sides, length of sides, number of vertices, and interior angles.

IL 9.6.03 - Solve problems using

properties of triangles and

quadrilaterals (e.g., sum of interior angles of a quadrilateral is 360°).

Skill Area 6 - Geometry Skill 29 - G22 - Using parts of a

triangle

- Circles

sketch circles, including radius, diameter, and chord.

points, describe paths, and plot figures using ordered pairs (first quadrant).

(34)

Standard Skill Area Description Skill Description - Symmetry

predict results of reflections, translations, and rotations of two-dimensional shapes.

IL 9.6.07 - Identify and sketch

parallel, perpendicular, and intersecting lines.

Skill Area 6 - Geometry Skill 21 - G14 - Identify parallel lines

Skill 22 - G15 - Identify intersecting

lines

IL 9.6.08 - Identify and sketch acute,

right, and obtuse angles. Skill Area 6 - Geometry Skill 28(obtuse, etc.) - G21 - Classify angles

IL 9.6.10 - Recognize which

attributes (such as shape, perimeter, and area) change or don't change when plane figures are composed, decomposed, or rearranged.

IL 9.6.12 - Determine if figures are

similar, and identify relationships between corresponding parts of similar figures.

- Distance

between two points on a horizontal or vertical number line.

and Conclusions

(35)

Standard Skill Area Description Skill Description - Read and Interpret Displays

IL 10.6.01 - Read, interpret, and

make predictions from data

represented in a bar graph, line (dot) plot, Venn diagram (with two circles), chart/table, line graph, or circle graph.

Statistics Skill 6 - S04 - Interpret table

Skill 7 - S05 - Interpret bar graph Skill 8 - S06 - Interpret pie graph IL 10.6.02 - Compare different

representations of the same data.

- Complete and Create Displays IL 10.6.03 - Create a bar graph,

chart/table, line graph, or circle graph with common referents (1/4, 50%, .75) for a given set of data.

range, median, and mean, given a set of data or a graph.

Statistics

Skill 9 - S07 - Statistics: Mean

Skill 10 - S08 - Statistics: Median IL 10C - Probability

- Probability

the probability of a simple event, including representing the probability as a fraction, decimal, or percent.

Statistics

Skill 11 - S11 - Probability: Simple

IL 10.6.06 - Apply the fundamental

counting principle in a simple problem (e.g., How many different 3-digit numbers can be made with the digits 1, 2, and 2?).

(36)

IL 6.7.01 - Read, write, and recognize

equivalent representations of positive powers of 10.

model, and interpret integers, including translating numerical expressions.

between, and apply multiple

representations of rational numbers (decimals, fractions, mixed numbers, and percents less than 100%).

Concepts

decimals: Convert fraction to equivalent fraction

decimals: Convert fraction to decimal

decimals: Convert decimal to fraction

decimals: Relate decimals to percents

IL 6.7.04 - Represent repeated

factors using exponents.

- Order and Compare Numbers IL 6.7.05 - Order and compare

integers, terminating decimals, fractions, and mixed numbers.

- Number Line

IL 6.7.06 - Identify and locate

integers, decimals, and fractions/mixed numbers on a number line, and estimate the locations of square roots.

Concepts Skill 28decimals: Identify position of - N26 - Fractions and decimals on number line

decimals: Identify position of fractions on number line

(37)

descriptions of numbers, including characteristics and relationships (e.g., square numbers,

prime/composite, prime factorization, greatest common factor, least common multiple).

Concepts Skill 40Knows meaning of primes and - N38 - Advanced concepts: composites

number sentences involving addition, subtraction, multiplication, and division using integers, fractions, and decimals.

Processes Skill 23unlike single digit denominators - C24 - Addition of fractions:

fractions: unlike single digit denominators

fractions: single digit denominators

Skill 26 - C27 - Division of fractions:

single digit denominators

Skill 27 - C28 - Addition of mixed

numbers

Skill 28 - C29 - Subtraction of mixed

numbers

mixed numbers

Skill 30 - C31 - Division of mixed

numbers

decimals

Skill 34 - C37 - Division of decimals Skill Area 9 - Word Problems Skill 18 - W24 - Word problems:

Addition of fractions, unlike single digit denominators

Subtraction of fractions, unlike single digit denominators

(38)

Subtraction of mixed numbers

Multiplication of decimals

Division decimals

IL 6.7.09 - Identify and apply order of

operations to simplify numeric expressions involving whole numbers (including exponents), fractions, and decimals.

- Properties

IL 6.7.10 - Identify and apply the

following properties of operations with rational numbers:

IL 6.7.10.a - Identify and apply the

following properties of operations with rational numbers: the commutative and associative properties for addition and multiplication;

IL 6.7.10.b - Identify and apply the

following properties of operations with rational numbers: the distributive property;

IL 6.7.10.c - Identify and apply the

following properties of operations with rational numbers: the additive and multiplicative identity properties;

Concepts Skill 10concept of zero - N05 - Tens: Understand the

IL 6.7.10.d - Identify and apply the

following properties of operations with rational numbers: the additive and multiplicative inverse properties; and

IL 6.7.10.e - Identify and apply the

following properties of operations with rational numbers: the multiplicative property of zero.

IL 6.7.11 - Demonstrate and apply

the relationships between addition/subtraction and

multiplication/division with rational numbers.

(39)

Standard Skill Area Description Skill Description IL 6.7.12 - Make estimates

appropriate to a given situation, and analyze what effect the estimation method used has on the accuracy of results.

IL 6.7.13 - Estimate the square root

of a number less than 1,000 between two whole numbers (e.g., the square root of 41 is between 6 and 7).

Percents

- Identify and Express Ratios IL 6.7.14 - Create and explain ratios

that represent a given situation.

- Proportional Reasoning IL 6.7.15 - Use proportional

reasoning to model and solve problems.

Proportions

Ratios

- Percents

model, and interpret percents from 0% to 100%.

Concepts Skill 32decimals: Relate decimals to - N30 - Fractions and percents

IL 6.7.17 - Solve number sentences

and problems involving fractions, decimals, and percents (e.g., 50% of 10 is the same as 1/2 of 10 is the same as 0.5×10, sales tax, tips, interest, discounts).

Processes Skill 35% of 40) - C38 - Percent A (10 is what

Skill 36 - C39 - Percent B (20% of 50

is what)

Skill 37 - C40 - Percent C (30 is 50%

of what)

Percent A (10 is what % of 40)

- Elapsed Time - Measurement Tools