• # Mathematics Grade 5

Scope and Sequence:

Mathematics

Course/Grade 5

 Quarter 1 Quarter 2 Quarter 3 Quarter 4 Unit Titles Numerical and Proportional Reasoning I  Numerical and Proportional Reasoning II Algebraic Reasoning   Geometry CMT Intensive Review  Numerical and Proportional Reasoning III  Measurement Graphical Representation of Data  Probability Learning Outcomes (grade level expectations or standards) Identify, round, order and compare whole numbers to  100,000 Number lines Express numbers using place value diagrams and models Expanded form of numbers Regrouping of numbers Use regrouping to support computation Number line to include numbers less than zero Positive and Negative Integers Inverse operations Commutative, associative, and distributive properties for computation Computation with money amounst Computation with 2,3, and 4-digit numbers Order of operations Multi-step problem solving Use rectangular arrays to  identify factor pairs Classify numbers as composite, prime, or square numbers Divisibility rules Patterns in division Division with remainders Represent rational numbers in its equivalent fraction, decimal, ratio and percent form Use models, number patterns, and  common factors to represent equivalent fractions, decimals, and percents Construct and use models and pictures to add and subtract fractions, decimals, and mixed numbers with like and unlike denominators Analyze number patterns Identify arithmetic and geometric sequences Draw conclusions and make predictions about patterns Represent mathematical relationships using variables in equations and inequalities.   Use geometric relationships such as parallel, perpendicular, and congruent to describe attributes of shapes and solids Lines of symmetry Draw, analyze, compare, and classify polygons Find the surface area and volume of rectangular solids Draw and interpret coordinate grids (x-y- coordinate grids) Estimate and determine the distance between plotted points Determine and use appropriate scale of measure to represent geometric shapes Develop formulas to find perimeter, area, and circumference of squares, triangles, rectangles, and circles. Convert units within the customary and metric systems Understand the relationship between the area and perimeter of a polygon when the dimensions change. Estimate and choose units and tools to measure and solve a variety of problems involving length, perimeter, area, volume, capacity, mass, time, angle, and temperature. Draw conclusions about geometric relationships Construct and use models and pictures to add and subtract fractions, decimals, and mixed numbers with like and unlike denominators Construct and use models and pictorial representations to multiply common fractions and mixed numbers Use equivalence when adding and subtracting fractions Multiplication of fractions and decimals Use ratios and proportions to solve real-world problems Interpret maps                            Create scale drawings Identify probability Identify and compare ratios through model building     Solve problems involving conversion of measure of time and elapsed time(days, hours, minutes, and seconds) Estimate and choose the appropriate units and tools to measure and solve a variety of problems involving time and temperature Use calendar and clocks to the nearest minute to plan and sequence events Compare temperature to the nearest degree in Celsius and Fahrenheit Freezing and boiling point in Celsius and Fahrenheit Construct and interpret various types of graphs including: line graphs, bar graphs, line plots, picture graphs, circle graphs, and stem and leaf plots Collect data through surveys and population samplings Form hypotheses and make predictions based on sets of data Identify the outlier in set of data Explore how an outlier can change the measure of central tendency Determine range, median, mode, and mean in a set of data Identify possible outcomes and discuss the likelihood of events Design and conduct probability Experiments and games of chance Test predictions and draw conclusions about probability and fairness Significant Task (names only) Unit 1: Balancing A Checkbook Car Dealer Inventory Unit 2: Batter Up! Have a Laugh-Do Some Math Unit 3: Patterns and   Predictions Equality and Inequality Game Unit 4:  Masquerade Location, Location, Location Unit 5: Catering an Event It’s A Pizza Party! Unit 6: Scale Model of a Parkl    Museum Tour Schedule Unit 7:  Statistics Scavenger Hunt Games of Chance Content Supporting Materials (text, calcs, manips) Student text Manipulatives Virtual Manipulatives Calculators Student text Manipulatives Virtual Manipulatives Calculators Student text Manipulatives Virtual Manipulatives Calculators Student text Manipulatives Virtual Manipulatives Calculators