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 4digit numbers Order of operations Multistep 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 (xy 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 realworld 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 LaughDo 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 