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Unit 1~Populations and SamplesUnit 2~Big NumbersUnit 3~Fractions and RatiosUnit 4~Division and Data

Collecting Data
Data Tables 
*Variables and Values*
Graphing Data
Interpreting Bar Graphs
Averages 
*Mode and Median*
Probability 
*Basic Introducion*



Reading and Writing Big Numbers
*Standard, Expanded,
and Word Forms*

Place Value
Base 10 Pieces and Symbols
*Number Representation*
Rounding to a Given Place Value
Fact Families
Mental Multiplication with Zeros
Paper and Pencil Multiplication
*All Partials and Compact*


Whole vs. Parts
*Pieces of Wholes = Fractions*
Numerator/Denominator
Pattern Blocks
*Value and Representation of Fractions*
Fractions of Different Wholes
Fraction Sentences (+,-)
Converting Improper Fractions and Mixed Numbers
Equivalent Fractions
Comparing Fractions
Ratios


Area 
*Using Grids*
Modeling Division
*Base 10 Pieces*
Mental Division with Zeros
Interpreting Remainders
Paper and Pencil Division
*Forgiving Method and Traditional Method*
Finding the Mean
*Average of Data*
Order of Operations


Unit 5~Investigating FractionsUnit 6~
Geometry
Unit 7~Decimals and ProbabilityUnit 9~
Connections to Division
Geoboards to Represent Fractions
Parts and Wholes with Different Wholes
Equivalent Fractions
*Using Multiplication
Comparing Fraction Values
Adding and Subtracting Fractions
*Visual Models and Paper and Pencil

Angle Types
*Acute, Obtuse, Right, and Straight
Measuring Angles
*Using a Protractor
Properties of Polygons
*Quadrilaterals, Pentagons, Hexagons
Triangles
Dermining Missing Angle Values
Congruent vs. Similar Shapes
Classigying Shapes
*By Defining Properties
Fractions, Decimals, and Percents
Decimal Values
*Places Value After the Decimal
Comparing and Rounding Decimals
Adding and Subtracting Decimals
*Visual Models and Paper and Pencil
Multiplying Decimals
*Visual Modles and Paper and Pencil

Fractions = Division
*Numerator Divided by Demoniator
Paper and Pencil Division
*Two Digit Divisors
Lattice Multiplication
Understand
ing Remainders




Unit 10~Maps and CoordinatesUnit 11~
Number Patterns, Primes, and Fractions
Unit 12~Using FractionsUnit 13~Ratio and Proportion
Negative Numbers and Value
Coordinate Points
*Ordered Points
Grid System
*Origin, Axes, Quadrants

Plotting Shapes on Grids
Sliding and Flipping Shapes on Grids
*Positive and Negative Numbers

Reading a Map
*Using Points


Comparing Fraction Values
Reducing Fractions
*Using Division
Adding and Subtracting Fractions
Reducing Fractions as Answers

Mixed Numbers and Improper Fractions
*Converting and Reducing
Adding Mixed Numbers
Fractions of Groups
Multiplying Fractions
*Visual Models and Paper and Pencil

Ratios and Proportion in Recipes
Interpolation and Extrapolation
*Between and Outside of Points
Unit Ratios
Variables in Porportion
Density
Mass and Volume