Unit 1: Naming and Constructing Geometric Figures
- points, line segments, lines and rays
- angles, triangles, and quadrangles
- parallelograms
- polygons
- draw circles with a compass
- drawing circles with a compass
- circle constructions
- hexagon and triangle contruction
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Unit 2: Using Numbers and Organizing Data
- visit to Washington, D.C.
- many names for many numbers
- place value in whole numbers
- place value with a calculator
- organizing and displaying data
- the median
- addition of multidigit numbers
- displaying data with a bar graph
- subtraction of multidigit numbers
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Unit 3:
Multiplication and Division; Number Sentences and Algebra
- Multiplication Facts
- Multiplication Facts Practice
- More Multiplication Facts
- Multiplication, and Division, and Fractions
- World Tour: Flying to Africa
- Finding Air Distances
- A Guide for Solving Number Stories
- True or False Number Sentences
- subtraction of multidigit numbers
- Parentheses in Number Sentences
- Open Sentences
- Logic Problems
- Unit 3 Review and Assessment
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Unit 4:
Decimals and Their Uses
- Decimals: Review of Basic Concepts
- Comparing and Ordering Decimals
- Estimating with Decimals
- Decimal Addition and Subtraction
- Decimals in Money
- Thousandths
- Metric Units of Length
- Personal References for Metric Length
- Measuring in Millimeters
- Decimal Place Value
- Unit 4 Review and Assessment
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Unit
5: Big Numbers, Estimation, and Computation
- Extended Multiplication Facts
- Multiplication Wrestling
- Estimating Sums
- Estimating Products
- The Partial-Products Algorithm for Multiplication (Part
1)
- The Partial-Products Algorithm for Multiplication (Part
2)
- Lattice Multiplication
- Big Numbers
- Powers of 10
- Rounding and Reporting Large Numbers
- World Tour: Traveling to Europe
- Unit 5 Review and Assessment
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Unit
6: Division, Map Reference Frames; Measures of Angles
- A Multiples Strategy for Division
- The Partial-Quotients Division Algorithms
- Multiplication and Division Number Stories
- Expressing and Interpreting Remainders
- Rectangular Coordinate Grids for Maps
- Rotations and Angles
- Using a Circle Protractor
- The Half-Circle Protractor
- The Global Grid System
- Latitude and Longitude
- Unit 6 Review and Assessment
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Unit
7: Fractions and Their Uses; Chance and Probability
- Review of Basic Fraction Concepts
- Fractions of Sets
- Pattern-Block Fractions
- Fraction Addition and Subtraction
- Clock Fractions
- Many Names for Fractions
- Equivalent Fractions
- Fractions and Decimals
- Comparing Fractions
- The ONE for Fractions
- Probability, Fractions, and Spinners
- A Cube-Drop Experiment
- Unit 7 Review and Assessment
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Unit
8: Perimeter and Area
- Kitchen Layouts and Perimeter
- Scale Drawings
- Area
- What is the Area of My Skin?
- Formula for the Area of a Rectangle
- Formula for the Area of a Parallelogram
- Formula for the Area of a Triangle
- Geographical Area Measurements
- Unit 8 Review and Assessment
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Unit
9: Percents
- Fractions, Decimals, and Percents
- Converting "Easy" Fractions to Decimals and
Percents
- Using a Calculator to Convert Fractions to Decimals
- Using a Calculator to Convert Fractions to Percents
- Conversions among Fractions, Decimals, and Percents
- Comparing the Results of a Survey
- Comparing Population Data
- Multiplication of Decimals
- Division of Decimals
- Unit 9 Review and Assessment
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Unit
10: Reflections and Symmetry
- Explorations with a Transparent Mirror
- Finding Lines of Reflections
- Properties of Reflections
- Line Symmetry
- Frieze Patterns
- Positive and Negative Numbers
- Unit 10 Review and Assessment
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Unit
11: 3-Dimensional Shapes and Volume
- Weight
- Geometric Solids
- Constructing Geometric Solids
- A Volume Exploration
- A Formula for the Volume of Rectangular Prisms
- Subtraction of Positive and Negative Numbers
- Capactiy and Weight
- Unit 11 Review and Assessment
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Unit
12: Rates
- Introducing Rates
- Solving Rate Problems
- Converting between Rates
- Comparison Shopping: Part 1
- Comparison Shopping: Part 2
- World Tour Wrap-Up
- Unit 12 Review and Assessment
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