Elementary Mathematics - Grade Five

Whole Numbers — Review

1: Comprehension of Whole Numbers

Properties of Whole numbers
- Addition
- Multiplication
Operations of Whole Numbers throguh problem solving
- Addition
- Subtraction
- Multiplication
- Division
Subsets of Whole Numbers
- Differentiate prime and composite numbers
- Give te common factors of given numbers
- Find prime factors of a number

Rational Numbers

2: Comprehension of Fractions

Change disimilar fractions to similar fractions
- Visulaize changing disimilar fractions to similar fractions
Identify equal fractions using the cross product method
Change fractions to lower/higher term (LCM/GCF)
Order dissimilar fractions written in different forms from least to greatest and vice versa
Estimate fractions close to 0, ¹/₂ or 1

3: Comprehension of Addition of Fractions

Add numbers in mixed forms with similar and dissimilar fractions without and with regrouping
- Add two to four similar fractions
- Visualize addition of dissimilar fractions (using concrete and visual/spatial models)
- Add dissimilar fractions
- Add dissimilar fractions and whole numbers
- Add whole numbers and mixed forms
- Add mixed form and a dissimilar fraction
- Add mixed forms
- Estimate sum
- Add mentally two fractional units with similar denominators
Application of Addition of Fractions
- Solve word problems involving addition of similar and dissimilar fractions without or with regrouping following the steps in problem solving

4: Comprehension of Subtraction of Fractions

Subtract fractions and mixed forms with common denominators without and with regrouping
- Visualize subtraction of fractions and mixed forms (using concrete and visual/spatial models)
- Subtract whole numbers from mixed forms without and with grouping
- Subtract fractions from whole numbers
- Subtract fractions from mixed numbers without and with grouping
- Subtract mixed numbers from whole numbers
- Subtract mixed numbers from mixed numbers (with similar fractions)
Subtract dissimilar fractions without and with grouping
- Visualize subtraction of dissimilar fractions
- Subtract fractions from mixed numbers without and with grouping
- Subtract mixed numbers from mixed numbers without and with grouping
Mentally subtract similar fractions
Application of Subtraction of Fractions
- Solve word problems involving subtraction of fractions following the steps in problem solving
- Solve two-step word problems involving addition and subtraction of fractions following the steps in solving two-step problems

5: Comprehension of Multiplication of Fractions

Multiply fractions by whole number, mixed form by a fraction
- fraction by a whole number
- mixed form of a fraction
- mixed form by a mixed form
Multiply mentally fraction units
Application of Mulitiplication of Fractions
- Solve word problems involving multiplication of fractions following the steps in problem solving
- Solve two-step word problems involving multiplication and any of addition and subtraction of fractions following the steps in solving two-step problems

6: Comprehension of Ratio

Express the ratio of two numbers
- Visualize the ratio of two given sets of objects
- Express the ratio of two numbers by using either colon (:) or a fraction
Reduce ratios to lowest terms
Identify equivalent ratios
Application of ratios
- Solve word problems involving ratios following the steps in problem solving

Decimals

7: Comprehension of Decimals

Read and write decimals through thousandths
- Rename fractions whose denominators are powers of 10 in decimal form and vice versa
- Give the place value of each digit of a given decimal
Round decimals to the nearest tenths/hundredths/thousandths

8: Comprehension of Addition and Subtraction of Decimals

Add and subtract decimals through thousandths without and with regrouping
Add and subtract mixed decimals without and with regrouping
Add and subtract mixed decimals from whole numbers without and with regrouping
Application of addition and subtraction of decimals
- Solve word problems involving either addition or subtraction of decimals including money following the steps in problem solving
- Solve two-step word problems involving addition and subtraction of decimals including money following the steps in solving two-step problems

9: Comprehension of Multiplication of Decimals

Multiply decimals
- Visualize multiplication of decimals using models
- Multiply tenths by another tenths
- Multiply hundredths by tenths and vice versa
Multiply mixed decimals with tenths and hundredths by whole numbers
Multiply mixed decimals by mixed decimals with tenths and hundredths
Multiply decimals by 10 and 100
Multiply decimals mentally by 0,1, and 0.01
Solve word problems involving multiplication of decimals including money
Application of Multiplication of Decimals
- Solve word problems involving multiplication of decimals including money following the steps in problem solving

10: Comprehension of Division of Decimals

Divides decimals through hundredths
- Visualize division of decimals using models
- Divide decimals by decimals through hundredths
- Divide decimals by whole numbers
Application of Division of Decimals
- Solve word problems involving division of decimals following the steps in problem solving

Percent

11: Percent

Geometry

12: Comprehension of Polygons

Describe five or more-sided polygons
- Identify five or more-sided polygons
- Illustrate five or more-sided polygons
Describe similar and congruent polygons
- Visualize congruent polygons
- Identify congruent polygons
- Illustrate congruent polygons
- Visualize similar polygons
- Identify similar polygons
- Illustrate similar polygons
Describe a circle
- Visualize a circle
- Identify the parts of a circle (radius and diameter)
- Illustrate circles with different radii

Measurement

13: Comprehension of the Circumference of a Circle

Find the circumference of a circle in centimeter/meter
- Visualize the circumference of a circle
- Derive a formula for finding the distance around a circle
- Find the circumference of a given circle
Application of Circumference
- Solve word problems involving circumference measure following the steps in problem solving

14: Comprehension of Area

Find the area of trapezoids and circles in square meters/centimeters
- Visulaize the circumference of a circle
- Derive a formula for finding the area of a trapezoid and circle
- Find the area
Application of Measurement of Area
- Solve word problems involving area of trapezoid and circle following the steps in problem solving

15: Comprehension of Volume

Find the volume of a cube/rectangular prism
- Name the unit of measure used for measuring the volume of cubes/rectangular prisms
- Convert one cubic unit of measure to a larger or smaller unit
- Derive a formula for finding the volume of cube/rectangular prism
Application of measurement of Volume
- Solve word problems involving measurement of volume following the steps in problem solving

16: Comprehension of Temperature Measure

Give body/weather temperature using degree Celsius
- Identify the parts of a thermometer
- Read a thermometer
Application of Temperature Measure
- Solve word problems involving body/weather temperature following the steps in problem solving

Graphs

17: Comprehension of Line Graphs