MSSD+Math+Grade+5+Essential+Learnings

MSSD Math Grade 5 Essential Learnings

Students will understand and apply whole number concepts • estimate, add, subtract; multiply, and divide multi-digit numbers by two digit numbers (Demonstrate with area, linear and grouping) • develop, test, explain conjectures with if/them statements, input/output, function tables, and rules • recognize a variable • commutative, associative, identity, zero for + and x • describe how one change affects the other • divisibility Rules - 2,3,4,5,6 ,10 • Identify - prime/ composite, odd/ even, • factors/ multiples • square numbers - be able to show pictorially • expanded notation & Exponents up to 1,000,000 • recognize equivalent representations for the same number • numeric patterns • Interpret remainders Students will understand and apply concepts of fractions, percents, and decimals Fractions: • 1/2,1/3, 1/4, 1/8, 1/10’s • mixed numbers • order <, >, =, pictorially • add, subtract, multiply • locate on a number line • equivalence with decimals and percents • estimate • describe how one change affects the other • demonstrate inverse relationships of add and subtract like denominators • as denominator increases, value changes • simplification

• Decimals: • thru thousandths • order <, >, =, pictorially • add, subtract, multiply • locate on a number line • equivalence with fractions and percents • estimate • demonstrate inverse relationships of add and subtract • money add, subtract, divide, multiply to include checking an savings problem solving

• Percents: • commonly used 25%, 50%, etc. • locate on a number line • order <, >, =, pictorially • equivalence with fractions and decimals • Add, subtract, multiply

Students will successfully use various forms of measurement. • use tools/units • to nearest 1/8 inch or nearest miilimeter • distance, capacity, weight, mass • estimate, find, and compare • map scales • pick appropriate unit of measurement

Students will understand and apply concepts Probability. • certain, likely, unlikely, impossible in a list or chart • use zero as impossible, one as certain • use fractions, decimals, and percents to represent • design a fair/unfair game and rules • make predictions • solve problems finding all combinations • understand sample size

Students will interpret and evaluate data. • graph, evaluate, hypothesize, and interpret - line, bar, line plot, circle, pictograph, frequency table • read and select scale • read break • plot points, notice shape of graph • match graph with description and choose correct one • differentiate between categorical and numerical data & draw conclusions • data analysis and collection methods • mean, median, mode, range

Students will understand and apply geometrical concepts. • draw front views, side views, etc. • angles - acute, obtuse, right, 90 degree • estimate angles • lines, rays, segments, angles - know geometric symbols • parallel, perpendicular, intersecting • congruence • make and test conjectures • describe attributes • find and estimate area, perimeter of rectangular prisms (estimate triangles) • describe how changes affect area and perimeter - show on graph paper • triangles, rectangles, squares, polygons • nets • estimates sides and heights • use pattern blocks • symmetry • flip, slide, turn • coordinate pairs in quadrant one Students will apply problem-solving skills across the math curriculum. • Solve problems from patterns, words, tables, graphs, rules, pictures • differentiate between categorical and numerical data • combination problems • demonstrate all operations in problem solving situations • determine if exact or estimate is acceptable, justify results • determine info -sufficient or not, extraneous • use math sentences