| [ |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Measurement", |
| "root2":"Understanding and Conversion of Units", |
| "root3":"Conversion Rates and Calculations Between Area Units", |
| "root4":null, |
| "full node":"Measurement_Understanding and Conversion of Units_Conversion Rates and Calculations Between Area Units" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Measurement", |
| "root2":"Understanding and Conversion of Units", |
| "root3":"Conversion Rates and Calculations Between Volume Units (Including Liters and Milliliters)", |
| "root4":null, |
| "full node":"Measurement_Understanding and Conversion of Units_Conversion Rates and Calculations Between Volume Units (Including Liters and Milliliters)" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Measurement", |
| "root2":"Understanding and Conversion of Units", |
| "root3":"Conversion Rates and Calculations Between Length Units", |
| "root4":null, |
| "full node":"Measurement_Understanding and Conversion of Units_Conversion Rates and Calculations Between Length Units" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Measurement", |
| "root2":"Angles and Length", |
| "root3":"Understanding Angles (Using a Protractor)", |
| "root4":null, |
| "full node":"Measurement_Angles and Length_Understanding Angles (Using a Protractor)" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Measurement", |
| "root2":"Angles and Length", |
| "root3":"Understanding Length (Using a Ruler)", |
| "root4":null, |
| "full node":"Measurement_Angles and Length_Understanding Length (Using a Ruler)" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Solid Figures", |
| "root2":"Calculation of Solid Figures", |
| "root3":"Calculation of Surface Area of Solid Figures", |
| "root4":"Surface Area of Cylinders", |
| "full node":"Solid Figures_Calculation of Solid Figures_Calculation of Surface Area of Solid Figures_Surface Area of Cylinders" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Solid Figures", |
| "root2":"Calculation of Solid Figures", |
| "root3":"Calculation of Surface Area of Solid Figures", |
| "root4":"Surface Area of Rectangular Cuboids", |
| "full node":"Solid Figures_Calculation of Solid Figures_Calculation of Surface Area of Solid Figures_Surface Area of Rectangular Cuboids" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Solid Figures", |
| "root2":"Calculation of Solid Figures", |
| "root3":"Calculation of Surface Area of Solid Figures", |
| "root4":"Surface Area of Cubes", |
| "full node":"Solid Figures_Calculation of Solid Figures_Calculation of Surface Area of Solid Figures_Surface Area of Cubes" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Solid Figures", |
| "root2":"Calculation of Solid Figures", |
| "root3":"Calculation of Volume of Solid Figures", |
| "root4":"Volume and Capacity of Cylinders", |
| "full node":"Solid Figures_Calculation of Solid Figures_Calculation of Volume of Solid Figures_Volume and Capacity of Cylinders" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Solid Figures", |
| "root2":"Calculation of Solid Figures", |
| "root3":"Calculation of Volume of Solid Figures", |
| "root4":"Volume and Capacity of Cones", |
| "full node":"Solid Figures_Calculation of Solid Figures_Calculation of Volume of Solid Figures_Volume and Capacity of Cones" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Solid Figures", |
| "root2":"Calculation of Solid Figures", |
| "root3":"Calculation of Volume of Solid Figures", |
| "root4":"Volume and Capacity of Rectangular Cuboids", |
| "full node":"Solid Figures_Calculation of Solid Figures_Calculation of Volume of Solid Figures_Volume and Capacity of Rectangular Cuboids" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Solid Figures", |
| "root2":"Calculation of Solid Figures", |
| "root3":"Calculation of Volume of Solid Figures", |
| "root4":"Volume and Capacity of Cubes", |
| "full node":"Solid Figures_Calculation of Solid Figures_Calculation of Volume of Solid Figures_Volume and Capacity of Cubes" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Solid Figures", |
| "root2":"Understanding of Solid Figures", |
| "root3":"Expanded View of Solids", |
| "root4":"Expanded View of Cylinders", |
| "full node":"Solid Figures_Understanding of Solid Figures_Expanded View of Solids_Expanded View of Cylinders" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Solid Figures", |
| "root2":"Understanding of Solid Figures", |
| "root3":"Expanded View of Solids", |
| "root4":"Expanded View of Rectangular Cuboids", |
| "full node":"Solid Figures_Understanding of Solid Figures_Expanded View of Solids_Expanded View of Rectangular Cuboids" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Solid Figures", |
| "root2":"Understanding of Solid Figures", |
| "root3":"Expanded View of Solids", |
| "root4":"Expanded View of Cubes", |
| "full node":"Solid Figures_Understanding of Solid Figures_Expanded View of Solids_Expanded View of Cubes" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Solid Figures", |
| "root2":"Understanding of Solid Figures", |
| "root3":"Cylinders and Cones", |
| "root4":"Properties of Cylinders", |
| "full node":"Solid Figures_Understanding of Solid Figures_Cylinders and Cones_Properties of Cylinders" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Solid Figures", |
| "root2":"Understanding of Solid Figures", |
| "root3":"Cylinders and Cones", |
| "root4":"Properties of Cones", |
| "full node":"Solid Figures_Understanding of Solid Figures_Cylinders and Cones_Properties of Cones" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Solid Figures", |
| "root2":"Understanding of Solid Figures", |
| "root3":"Rectangular Cuboids and Cubes", |
| "root4":"Properties and Understanding of Rectangular Cuboids", |
| "full node":"Solid Figures_Understanding of Solid Figures_Rectangular Cuboids and Cubes_Properties and Understanding of Rectangular Cuboids" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Solid Figures", |
| "root2":"Understanding of Solid Figures", |
| "root3":"Rectangular Cuboids and Cubes", |
| "root4":"Properties and Understanding of Cubes", |
| "full node":"Solid Figures_Understanding of Solid Figures_Rectangular Cuboids and Cubes_Properties and Understanding of Cubes" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Solid Figures", |
| "root2":"Understanding of Solid Figures", |
| "root3":"Observing Objects", |
| "root4":null, |
| "full node":"Solid Figures_Understanding of Solid Figures_Observing Objects" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Plane Figures", |
| "root2":"Calculation of Plane Figures", |
| "root3":"Sum of Interior Angles of Polygons", |
| "root4":"Sum of Interior Angles of Other Polygons", |
| "full node":"Plane Figures_Calculation of Plane Figures_Sum of Interior Angles of Polygons_Sum of Interior Angles of Other Polygons" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Plane Figures", |
| "root2":"Calculation of Plane Figures", |
| "root3":"Sum of Interior Angles of Polygons", |
| "root4":"Sum of Interior Angles of Triangles", |
| "full node":"Plane Figures_Calculation of Plane Figures_Sum of Interior Angles of Polygons_Sum of Interior Angles of Triangles" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Plane Figures", |
| "root2":"Calculation of Plane Figures", |
| "root3":"Calculation and Comparison of Angles", |
| "root4":null, |
| "full node":"Plane Figures_Calculation of Plane Figures_Calculation and Comparison of Angles" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Plane Figures", |
| "root2":"Calculation of Plane Figures", |
| "root3":"Calculation of Areas", |
| "root4":"Area of Parallelograms", |
| "full node":"Plane Figures_Calculation of Plane Figures_Calculation of Areas_Area of Parallelograms" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Plane Figures", |
| "root2":"Calculation of Plane Figures", |
| "root3":"Calculation of Areas", |
| "root4":"Area of Triangles", |
| "full node":"Plane Figures_Calculation of Plane Figures_Calculation of Areas_Area of Triangles" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Plane Figures", |
| "root2":"Calculation of Plane Figures", |
| "root3":"Calculation of Areas", |
| "root4":"Area of Sectors", |
| "full node":"Plane Figures_Calculation of Plane Figures_Calculation of Areas_Area of Sectors" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Plane Figures", |
| "root2":"Calculation of Plane Figures", |
| "root3":"Calculation of Areas", |
| "root4":"Area of Trapezoids", |
| "full node":"Plane Figures_Calculation of Plane Figures_Calculation of Areas_Area of Trapezoids" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Plane Figures", |
| "root2":"Calculation of Plane Figures", |
| "root3":"Calculation of Areas", |
| "root4":"Area of Circles", |
| "full node":"Plane Figures_Calculation of Plane Figures_Calculation of Areas_Area of Circles" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Plane Figures", |
| "root2":"Calculation of Plane Figures", |
| "root3":"Calculation of Areas", |
| "root4":"Area of Rectangles", |
| "full node":"Plane Figures_Calculation of Plane Figures_Calculation of Areas_Area of Rectangles" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Plane Figures", |
| "root2":"Calculation of Plane Figures", |
| "root3":"Calculation of Areas", |
| "root4":"Area of Squares", |
| "full node":"Plane Figures_Calculation of Plane Figures_Calculation of Areas_Area of Squares" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Plane Figures", |
| "root2":"Calculation of Plane Figures", |
| "root3":"Calculation of Perimeters", |
| "root4":"Perimeter of Parallelograms", |
| "full node":"Plane Figures_Calculation of Plane Figures_Calculation of Perimeters_Perimeter of Parallelograms" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Plane Figures", |
| "root2":"Calculation of Plane Figures", |
| "root3":"Calculation of Perimeters", |
| "root4":"Perimeter of Triangles", |
| "full node":"Plane Figures_Calculation of Plane Figures_Calculation of Perimeters_Perimeter of Triangles" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Plane Figures", |
| "root2":"Calculation of Plane Figures", |
| "root3":"Calculation of Perimeters", |
| "root4":"Perimeter of Trapezoids", |
| "full node":"Plane Figures_Calculation of Plane Figures_Calculation of Perimeters_Perimeter of Trapezoids" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Plane Figures", |
| "root2":"Calculation of Plane Figures", |
| "root3":"Calculation of Perimeters", |
| "root4":"Circumference of Circles", |
| "full node":"Plane Figures_Calculation of Plane Figures_Calculation of Perimeters_Circumference of Circles" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Plane Figures", |
| "root2":"Calculation of Plane Figures", |
| "root3":"Calculation of Perimeters", |
| "root4":"Perimeter of Rectangles", |
| "full node":"Plane Figures_Calculation of Plane Figures_Calculation of Perimeters_Perimeter of Rectangles" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Plane Figures", |
| "root2":"Calculation of Plane Figures", |
| "root3":"Calculation of Perimeters", |
| "root4":"Perimeter of Squares", |
| "full node":"Plane Figures_Calculation of Plane Figures_Calculation of Perimeters_Perimeter of Squares" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Plane Figures", |
| "root2":"Understanding of Plane Figures", |
| "root3":"Polygons", |
| "root4":"Properties and Understanding of Parallelograms", |
| "full node":"Plane Figures_Understanding of Plane Figures_Polygons_Properties and Understanding of Parallelograms" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Plane Figures", |
| "root2":"Understanding of Plane Figures", |
| "root3":"Polygons", |
| "root4":"Properties and Understanding of Triangles", |
| "full node":"Plane Figures_Understanding of Plane Figures_Polygons_Properties and Understanding of Triangles" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Plane Figures", |
| "root2":"Understanding of Plane Figures", |
| "root3":"Polygons", |
| "root4":"Properties and Understanding of Trapezoids", |
| "full node":"Plane Figures_Understanding of Plane Figures_Polygons_Properties and Understanding of Trapezoids" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Plane Figures", |
| "root2":"Understanding of Plane Figures", |
| "root3":"Polygons", |
| "root4":"Properties and Understanding of Rectangles", |
| "full node":"Plane Figures_Understanding of Plane Figures_Polygons_Properties and Understanding of Rectangles" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Plane Figures", |
| "root2":"Understanding of Plane Figures", |
| "root3":"Polygons", |
| "root4":"Properties and Understanding of Squares", |
| "full node":"Plane Figures_Understanding of Plane Figures_Polygons_Properties and Understanding of Squares" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Plane Figures", |
| "root2":"Understanding of Plane Figures", |
| "root3":"Classification and Understanding of Angles", |
| "root4":"Understanding Triangular Rulers", |
| "full node":"Plane Figures_Understanding of Plane Figures_Classification and Understanding of Angles_Understanding Triangular Rulers" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Plane Figures", |
| "root2":"Understanding of Plane Figures", |
| "root3":"Classification and Understanding of Angles", |
| "root4":"Understanding and Representing Angles", |
| "full node":"Plane Figures_Understanding of Plane Figures_Classification and Understanding of Angles_Understanding and Representing Angles" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Plane Figures", |
| "root2":"Understanding of Plane Figures", |
| "root3":"Properties and Understanding of Line Segments", |
| "root4":"Distance Between Two Points", |
| "full node":"Plane Figures_Understanding of Plane Figures_Properties and Understanding of Line Segments_Distance Between Two Points" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Plane Figures", |
| "root2":"Understanding of Plane Figures", |
| "root3":"Properties and Understanding of Line Segments", |
| "root4":"Understanding Line Segments, Lines, and Rays", |
| "full node":"Plane Figures_Understanding of Plane Figures_Properties and Understanding of Line Segments_Understanding Line Segments, Lines, and Rays" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Plane Figures", |
| "root2":"Understanding of Plane Figures", |
| "root3":"Positional Relationships Between Line Segments", |
| "root4":"perpendicularity", |
| "full node":"Plane Figures_Understanding of Plane Figures_Positional Relationships Between Line Segments_perpendicularity" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Plane Figures", |
| "root2":"Understanding of Plane Figures", |
| "root3":"Positional Relationships Between Line Segments", |
| "root4":"Parallel", |
| "full node":"Plane Figures_Understanding of Plane Figures_Positional Relationships Between Line Segments_Parallel" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Plane Figures", |
| "root2":"Understanding of Plane Figures", |
| "root3":"Circles and Sectors", |
| "root4":"Understanding Sectors", |
| "full node":"Plane Figures_Understanding of Plane Figures_Circles and Sectors_Understanding Sectors" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Plane Figures", |
| "root2":"Understanding of Plane Figures", |
| "root3":"Circles and Sectors", |
| "root4":"Understanding Circles", |
| "full node":"Plane Figures_Understanding of Plane Figures_Circles and Sectors_Understanding Circles" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Plane Figures", |
| "root2":"Understanding of Plane Figures", |
| "root3":"Observing Figures", |
| "root4":null, |
| "full node":"Plane Figures_Understanding of Plane Figures_Observing Figures" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Transformation and Motion of Figures", |
| "root2":"Basic Transformations of Figures", |
| "root3":"Axial Symmetry", |
| "root4":null, |
| "full node":"Transformation and Motion of Figures_Basic Transformations of Figures_Axial Symmetry" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Transformation and Motion of Figures", |
| "root2":"Basic Transformations of Figures", |
| "root3":"Translation", |
| "root4":null, |
| "full node":"Transformation and Motion of Figures_Basic Transformations of Figures_Translation" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Transformation and Motion of Figures", |
| "root2":"Basic Transformations of Figures", |
| "root3":"Rotation", |
| "root4":null, |
| "full node":"Transformation and Motion of Figures_Basic Transformations of Figures_Rotation" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Transformation and Motion of Figures", |
| "root2":"Cutting and Combining of Figures", |
| "root3":"Combining and Dividing Solids", |
| "root4":null, |
| "full node":"Transformation and Motion of Figures_Cutting and Combining of Figures_Combining and Dividing Solids" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Transformation and Motion of Figures", |
| "root2":"Cutting and Combining of Figures", |
| "root3":"Combining Plane Figures", |
| "root4":"Division of Plane Figures", |
| "full node":"Transformation and Motion of Figures_Cutting and Combining of Figures_Combining Plane Figures_Division of Plane Figures" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Transformation and Motion of Figures", |
| "root2":"Cutting and Combining of Figures", |
| "root3":"Combining Plane Figures", |
| "root4":"Combining Plane Figures", |
| "full node":"Transformation and Motion of Figures_Cutting and Combining of Figures_Combining Plane Figures_Combining Plane Figures" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Transformation and Motion of Figures", |
| "root2":"Cutting and Combining of Figures", |
| "root3":"Combining Plane Figures", |
| "root4":"Tessellation of Figures", |
| "full node":"Transformation and Motion of Figures_Cutting and Combining of Figures_Combining Plane Figures_Tessellation of Figures" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Transformation and Motion of Figures", |
| "root2":"Cutting and Combining of Figures", |
| "root3":"Combining Plane Figures", |
| "root4":"Folding Problems of Figures", |
| "full node":"Transformation and Motion of Figures_Cutting and Combining of Figures_Combining Plane Figures_Folding Problems of Figures" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Position and Direction", |
| "root2":"Direction", |
| "root3":"Southeast, Southwest, Northeast, Northwest Directions", |
| "root4":null, |
| "full node":"Position and Direction_Direction_Southeast, Southwest, Northeast, Northwest Directions" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Position and Direction", |
| "root2":"Direction", |
| "root3":"Cardinal Directions (East, South, West, North)", |
| "root4":null, |
| "full node":"Position and Direction_Direction_Cardinal Directions (East, South, West, North)" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Position and Direction", |
| "root2":"Route Map", |
| "root3":"Determining the Positions of Objects Based on Direction, Angle, and Distance", |
| "root4":null, |
| "full node":"Position and Direction_Route Map_Determining the Positions of Objects Based on Direction, Angle, and Distance" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Position and Direction", |
| "root2":"Route Map", |
| "root3":"Describing Simple Routes Based on Direction and Distance", |
| "root4":null, |
| "full node":"Position and Direction_Route Map_Describing Simple Routes Based on Direction and Distance" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Position and Direction", |
| "root2":"Correspondence of Coordinates and Positions", |
| "root3":"Representing Positions Using Ordered Pairs", |
| "root4":null, |
| "full node":"Position and Direction_Correspondence of Coordinates and Positions_Representing Positions Using Ordered Pairs" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Position and Direction", |
| "root2":"Correspondence of Coordinates and Positions", |
| "root3":"Finding Positions Based on Ordered Pairs", |
| "root4":null, |
| "full node":"Position and Direction_Correspondence of Coordinates and Positions_Finding Positions Based on Ordered Pairs" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Position and Direction", |
| "root2":"Position", |
| "root3":"Front-Back Position", |
| "root4":null, |
| "full node":"Position and Direction_Position_Front-Back Position" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Position and Direction", |
| "root2":"Position", |
| "root3":"Up-Down Position", |
| "root4":null, |
| "full node":"Position and Direction_Position_Up-Down Position" |
| }, |
| { |
| "root0":"Geometry and Figures", |
| "root1":"Position and Direction", |
| "root2":"Position", |
| "root3":"Left-Right Position", |
| "root4":null, |
| "full node":"Position and Direction_Position_Left-Right Position" |
| } |
| ] |
