Grade 5

  • 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