[ { "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" } ]