• How can I use visual models to multiply fractions?
• How does multiplying a number greater than or less than 1 by a fraction affect the product?
• How does a fraction represent a division of two numbers?
• How can I solve a division problem involving a fraction and a whole number?
• What is the effect on the quotient when dividing a fraction less than one and a whole number?
• How can I solve real world problems involving multiplication and division of fractions?

In this unit, students will be able to:

• Solve word problems involving division where the answer needs to be in the form of a fraction or a mixed number.
• Convert whole numbers into fractions.
• Use visual models to multiply fractions.
• Draw a rectangular model to represent the area when given the fractional sides and area.
• Solve real world problems involving multiplication of fractions and mixed numbers.
• Create and use visual fraction models to solve real world problems.
• Solve real world problems involving division of fractions.

• How can you use models to add or subtract fractions with different denominators?
• How can you rewrite a pair of fractions so that they have a common denominator?
• How can you use a common denominator to add and subtract fractions with unlike denominators?
• How can you add ans subtract mixed numbers with unlike denominators?

In this unit, students will be able to:

• Add and subtract fractions and mixed numbers with unlike denominators
• Solve word problems involving addition and subtraction of fractions with unlike denominators
• Simplify fractions
• Create equivalent fractions
• Rename mixed numbers to improper fractions and improper fractions to mixed numbers

IXL Skills:

K.4 - Equivalent Fractions

K.7 - Least common denominator

L.6 - Add fractions with unlike denominators using models

L.8 - Add fractions with unlike denominators

L.9 - Subtract fractions with unlike denominators using models

L.10 - Subtract fractions with unlike denominators

L.11 - Add and Subtract fractions with unlike denominators: word problems

L.12 - Add 3 or more fractions with unlike denominators

L.13 - Add 3 or more fractions with unlike denominators: word problems

L.18 - Add mixed numbers with unlike denominators

L.19 - Subtract mixed numbers with unlike denominators

L.20 - Add and Subtract mixed numbers with unlike denominators: word problems

FL Standards:

MAFS.5.NF.1.1 - Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.) 

MAFS.5.NF.1.2 - Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2.

Videos

• How can you use base ten blocks to model addition of decimals?
• How can you use base ten blocks to model subtraction of decimals?
• How can you use place value to help you add decimals?
• How can you use place value to help you subtract decimals?

In this unit, students will be able to:

• Add, subtract, multiply, and divide decimals to the hundredths place

IXL Skills:

H.1 - Add decimal numbers

H.2 - Subtract decimal numbers

H.3 - Add and Subtract Decimal Numbers

H.4 - Add and Subtract Decimals - word problems

S.1 - Add and Subtract Money

S.2 - Add and Subtract Money - word problems

I.2 - Multiply a decimal by a power of ten

I.3 - Multiply a decimal by a one-digit whole number

S.3 - Multiply money amounts: word problems

I.7 - Multiply two decimals using grids

I.8 - Multiply two decimals

FL Standards:

5.NBT.2.7 - Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.

Videos

• How can you describe the relationship between two place-value position?
• How can you read, write, and represent whole numbers through hundred millions?
• How can you use an exponent to show powers of 10?
• How can you describe the relationship between two pdecimal place-value poisitions?
• How do you read, write, and represent decimals through thousandths?
• How can you use place value to compare and order decimals?
• How can patterns help you place the decimal point in a product?

In this unit, students will be able to:

• Read, write and represent numerals up to hundred millions using base-ten numerals, numbers in word form, and expanded form.
• Explain the patterns of zeros when multiplying a number by 10.
• Evaluate exponents with a base of 10.
• Read and write decimals to the thousandths using base-ten numerals, number names, and expanded form.
• Compare two decimals to the thousandths place using >, =, < symbols.
• Round or estimate decimals up to the thousandths place.
• Create equivalent values to compare decimals to the thousandths place using >, =, < symbols (e.g. when comparing .4 to .39, rename .4 to .40, so .40 > .39)

Vocabulary

• Base
• Exponent
• Period
• Decimal
• Thousandth
• Hundredth
• Tenth
• Place Value
• Round

IXL Skills:

A.1 Convert between standard and expanded form

C.3 Multiplication patterns over increasing place values

E.1 Understanding Exponents

G.10 Compare decimal numbers

G.11 Put decimal numbers in order

G.7 Round decimals

I.2 Multiply a decimal by a power of ten

I.3 Multiply a decimal by a one-digit whole number

J.2 Decimal division patterns over increasing place values

FL Standards:

5.NBT.1.1 – Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10
of what it represents in the place to its left. DOK 1

5.NBT.1.2 – Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the
placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.

5.NBT.1.3 – Read, write, and compare decimals to thousandths. DOK 2

a. Read and write decimals to thousandths using base-ten numerals, number names, and expanded
form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).

b. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =,
and < symbols to record the results of comparisons.

5.NBT.1.4 – Use place value understanding to round decimals to any place.

Videos