A - Numerical Reasoning - place value, rounding, comparisons with multi-digit numbers, addition and subtraction, multiplicative comparisons, multiplication, and division involving whole numbers

• recognize patterns within the base ten place value system with quantities presented in real-life situations to compare and round multi-digit whole numbers through the hundred-thousands place
• solve problems involving addition and subtraction through the hundred-thousands place, as well as multiplication and division of multi-digit whole numbers presented in real-life, mathematical situations using part-whole strategies

B - Patterning & Algebraic Reasoning - patterns, input-output tables, factors, multiples, composite numbers, prime numbers

• generate and analyze patterns, including those involving shapes, input/output diagrams, factors, multiples, prime numbers, and composite numbers

C - Numerical Reasoning - fraction equivalence, comparison of fractions, and addition and subtraction of fractions with like denominators

• solve real-life problems involving addition, subtraction, equivalence, and comparison of fractions with denominators of 2, 3, 4, 5, 6, 8, 10, 12, and 100 using part-whole strategies and visual models
• solve real-life problems involving addition, equivalence, comparison of fractions with denominators of 10 and 100, and comparison of decimal numbers as tenths and hundredths using part-whole strategies and visual models

D - Measurement & Data Reasoning - time, metric measurements, distance, elapsed time, liquid volume, mass, and length

• measure time and objects that exist in the world to solve real-life, mathematical problems and analyze graphical displays of data to answer relevant questions

E - Geometric & Spatial Reasoning - polygons, points, lines, line segments, rays, angles, perpendicular lines, area, perimeter

• investigate the concepts of angles and angle measurement to estimate and measure angles
• identify and draw geometric objects, classify polygons based on properties, and solve problems involving area and perimeter of rectangular figures

• 4th Grade Mathematics -- Mathematics Specials

A - Numerical Reasoning - place value, rounding, comparisons with multi-digit numbers, addition and subtraction, multiplicative comparisons, multiplication, and division involving whole numbers

• recognize patterns within the base ten place value system with quantities presented in real-life situations to compare and round multi-digit whole numbers through the hundred-thousands place
• solve problems involving addition and subtraction through the hundred-thousands place, as well as multiplication and division of multi-digit whole numbers presented in real-life, mathematical situations using part-whole strategies

C - Numerical Reasoning - fraction equivalence, comparison of fractions, and addition and subtraction of fractions with like denominators

• solve real-life problems involving addition, subtraction, equivalence, and comparison of fractions with denominators of 2, 3, 4, 5, 6, 8, 10, 12, and 100 using part-whole strategies and visual models
• solve real-life problems involving addition, equivalence, comparison of fractions with denominators of 10 and 100, and comparison of decimal numbers as tenths and hundredths using part-whole strategies and visual models

D - Measurement & Data Reasoning - time, metric measurements, distance, elapsed time, liquid volume, mass, and length

• measure time and objects that exist in the world to solve real-life, mathematical problems and analyze graphical displays of data to answer relevant questions

E - Geometric & Spatial Reasoning - polygons, points, lines, line segments, rays, angles, perpendicular lines, area, perimeter

• identify and draw geometric objects, classify polygons based on properties, and solve problems involving area and perimeter of rectangular figures