Fourth Grade Mathematics



Fifth Grade Mathematics

Third Quarter

February 3rd – April 4th

February: Numbers and Operations- Fractions

Adding and Subtracting Mixed Numbers

Essential Questions:

What does it mean to add and subtract mixed numbers?

What strategies can we use to add or subtract mixed numbers?

How can you use a number line to round fractions and mixed numbers?

Skills:

• Write improper fractions as mixed numbers and mixed numbers as improper fractions

• Place improper fractions and mixed numbers on a number line

• Estimate sums and differences of fractions and mixed numbers by rounding to the nearest whole number

• Use models and computational procedures to add and subtract mixed numbers

• Solve more complex problems involving the addition and subtraction of mixed numbers

Multiplying and Dividing Fractions and Mixed Numbers

Essential Questions:

What are standard procedures for estimating and finding products and quotients of fractions and mixed numbers?

How can you multiply mixed numbers and fractions?

How are fractions related to division?

When in everyday life would you want to multiply a fraction and a whole number?

How does multiplying by a fraction change the second factor?

Skills:

• Use fractions to represent division

• Locate and place fractions on a number line

• Multiply a fraction by a whole number & multiply mixed numbers

• Use compatible numbers and rounding to estimate with fractions

• Give the product of two fractions

• Find the area of rectangles

• Compare the size of the product to the size of one factor without multiplying

• Divide whole numbers by fractions

• Discover the inverse relationship between multiplication and division to help with division of unit fractions by whole numbers

• Use diagrams and write equations to solve problems with unit fractions

March-April 4: Measurement and Data

Volumes of Solids

Essential Questions:

How can three-dimensional shapes be represented and analyzed?

How do you describe a three-dimensional shape or solid?

What does the volume of a rectangular prism mean and how can it be found?

How can you use volume formulas to solve problems?

Skills:

• Identify three-dimensional shapes according to face, edges, and vertices

• Identify different views of a solid

• Use objects to act out or break apart problems into simpler ones in order to reach a solution

• Determine the volume of rectangular solids

• Count cubic units and use formulas to find the volume of rectangular prisms

• Find volumes of irregular solids

• Use objects and reasoning to solve problems involving volume

Units of Measure

Essential Questions:

What are customary measurement units and how are they related?

What are metric measurement units and how are they related?

How can you convert from one unit of length to another?

How do you change from one unit of capacity to another?

Skills:

• Convert from one unit of customary length to another (feet, inches, yards)

• Convert from one unit of customary capacity to another (gallons, quarts, pints, cups)

• Convert from one customary unit of weight to another (pounds, ounces, tons), and apply this skill to compare quantities

• Convert one metric unit of length into another (millimeters, centimeters, meters, kilometers)

• Convert from one metric unit of capacity to another (milliliter, liter)

• Convert from one metric unit of mass to another (milligrams, grams, kilograms)

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