Describe and extend numeric and geometric Understand and apply patterns and rules to Use variables patterns describe relationships Substitute numbers in simple algebraic expressions Describe and explain quantitative Represent unknowns using symbols Determine that a formula will be reliable regardless of type of relationships represented by a formula Write and evaluate mathematical expressions number substituted Use a symbol to represent an unknown and Algebra find the value of it Construct and interpret line plot graphs, Construct and interpret line graphs, line plot Collect, organize, display data using the most appropriate graph pictographs, Venn diagrams, and bar graphs graphs, pictographs, Venn diagrams, and bar graphs (circle graphs, line graphs, bar graphs) and Solve problems by organizing and displaying Compare different graphical representations for a Analyze data in a graph data in charts, tables, and bar graphs given set of data Compare and contrast multiple graphic representations for a single Use scale increments of 1, 2, 5, and 10 Investigate features and tendencies of graphs set of data and discuss advantages and disadvantages of each Identify missing information and duplications in Determine and justify the mean, range, mode, and median of a set Analysis data of data Probability Determine and justify the range, mode, and median Data of a set of data Solve problems, Reason and evaluate mathematical arguments, Communicate mathematically, Make connections among mathematical ideas and to other disciplines, Represent mathematics in multiple ways Skills Process Third Grade Fourth Grade Fifth Grade
Algebra Describe and extend numeric and geometric patterns Describe and explain quantitative relationships represented by a formula Use a symbol to represent an unknown and find the value of it Understand and apply patterns and rules to describe relationships Represent unknowns using symbols Write and evaluate mathematical expressions Use variables Substitute numbers in simple algebraic expressions Determine that a formula will be reliable regardless of type of number substituted Data Analysis and Probability Construct and interpret line plot graphs, pictographs, Venn diagrams, and bar graphs Solve problems by organizing and displaying data in charts, tables, and bar graphs Use scale increments of 1, 2, 5, and 10 Construct and interpret line graphs, line plot graphs, pictographs, Venn diagrams, and bar graphs Compare different graphical representations for a given set of data Investigate features and tendencies of graphs Identify missing information and duplications in data Determine and justify the range, mode, and median of a set of data Collect, organize, display data using the most appropriate graph (circle graphs, line graphs, bar graphs) Analyze data in a graph Compare and contrast multiple graphic representations for a single set of data and discuss advantages and disadvantages of each Determine and justify the mean, range, mode, and median of a set of data Process Skills Solve problems, Reason and evaluate mathematical arguments, Communicate mathematically, Make connections among mathematical ideas and to other disciplines, Represent mathematics in multiple ways Third Grade Fourth Grade Fifth Grade