Mathematics Grade 5

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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