Time Capacity and Volume Measurement Third Grade Fourth Grade Fifth Grade Determine elapsed time to full, half, and Use milliliters, liters, fluid ounces, cups, pints, quarts, quarter hours and gallons Compare units within one system Linear Measurement Weight Measurement Geometric Figures Use kilometers and miles Measure weight in customary and metric units Estimate area and volume Measure to nearest ¼ inch, ½ inch, and Compare one unit to another within a single system of Derive formula for area of parallelogram, triangle, and millimeter measurement circle Estimate length Find areas of triangles, parallelograms, and circles using formulae (pi ≈ 3.14) Compare one unit to another within a single system of measurement Estimate area of circle (partitioning, tiling) Geometric Figures Geometric Figures Find area of regular and irregular polygons by dividing into squares, rectangles, or triangles Understand perimeter (linear unit, length of Use tools to measure angles Measurement the boundary of a figure) Derive formula for circumference of circle Understand half and full rotations Determine perimeter by measuring and Determine circumference of circle using the formula and Determine that 3 angles in a triangle always total 180° summing lengths of sides pi ≈ 3.14 Understand and measure area using square Understand and identify units used in computing volume units Derive formula for volume of cube and rectangular prism Model area by tiling Compute volume of cube and rectangular prism using Determine area of squares and rectangles formulae Understand similarities/differences between volume and capacity Two-Dimensional Figures Two-Dimensional Figures Two-Dimensional Figures Describe/classify triangles by sides as Define/classify triangles by angles Understand congruence of geometric figures and scalene, isosceles, and equilateral Describe parallel and perpendicular lines in plane geometric correspondence of vertices, sides, and angles Identify/compare properties of geometric figures Understand the relationship of the circumference of a figures Examine and classify quadrilaterals (parallelograms, squares, circle to its diameter is pi (π ≈ 3.14) Examine/compare angles of geometric figures rectangles, trapezoids, rhombi) by their properties Identify center, diameter, and radius of Compare and contrast relationships among quadrilaterals circle Locate and name a point in the first quadrant Graph ordered pairs in first quadrant Three-Dimensional Figures Geometry Compare and contrast cube and rectangular prism by faces, edges, and vertices Describe parallel and perpendicular lines in a rectangular prism Build models for 3-D figures using nets and other representations
Measurement Time Determine elapsed time to full, half, and quarter hours Capacity and Volume Measurement Use milliliters, liters, fluid ounces, cups, pints, quarts, and gallons Compare units within one system Linear Measurement Use kilometers and miles Measure to nearest ¼ inch, ½ inch, and millimeter Estimate length Compare one unit to another within a single system of measurement Weight Measurement Measure weight in customary and metric units Compare one unit to another within a single system of measurement Geometric Figures Estimate area and volume Derive formula for area of parallelogram, triangle, and circle Find areas of triangles, parallelograms, and circles using formulae (pi ≈ 3.14) Estimate area of circle (partitioning, tiling) Find area of regular and irregular polygons by dividing into squares, rectangles, or triangles Derive formula for circumference of circle Determine circumference of circle using the formula and pi ≈ 3.14 Understand and identify units used in computing volume Derive formula for volume of cube and rectangular prism Compute volume of cube and rectangular prism using formulae Understand similarities/differences between volume and capacity Geometric Figures Understand perimeter (linear unit, length of the boundary of a figure) Determine perimeter by measuring and summing lengths of sides Understand and measure area using square units Model area by tiling Determine area of squares and rectangles Geometric Figures Use tools to measure angles Understand half and full rotations Determine that 3 angles in a triangle always total 180° Geometry Two-Dimensional Figures Describe/classify triangles by sides as scalene, isosceles, and equilateral Identify/compare properties of geometric figures Examine/compare angles of geometric figures Identify center, diameter, and radius of circle Two-Dimensional Figures Define/classify triangles by angles Describe parallel and perpendicular lines in plane geometric figures Examine and classify quadrilaterals (parallelograms, squares, rectangles, trapezoids, rhombi) by their properties Compare and contrast relationships among quadrilaterals Locate and name a point in the first quadrant Graph ordered pairs in first quadrant Two-Dimensional Figures Understand congruence of geometric figures and correspondence of vertices, sides, and angles Understand the relationship of the circumference of a circle to its diameter is pi (π ≈ 3.14) Three-Dimensional Figures Compare and contrast cube and rectangular prism by faces, edges, and vertices Describe parallel and perpendicular lines in a rectangular prism Build models for 3-D figures using nets and other representations Third Grade Fourth Grade Fifth Grade