Understanding by Design
Unit 6 – Fractions and Decimals
Stage 1 – Desired Results
Established Goals: G
In this unit students will:
identify visual and written expressions of fractions;
understand representations of simple equivalent fractions;
understand the concept of mixed numbers with common denominators to 12;
add and subtract fractions with common denominators;
add and subtract mixed numbers with common denominators;
convert mixed numbers to improper fractions and improper fractions to mixed fractions;
understand the relationship between decimal fractions and the base ten system;
order two-digit decimal fractions;
add and subtract two-digit decimal fractions; and
multiply and divide both one and two-digit decimal fractions by whole numbers.
Enduring Understandings: (Students will understand that…) U
fractions can be represented visually and in written form;
fractional amounts can be added and/or subtracted;
mixed number can be added and/or subtracted;
mixed numbers can be converted to improper fractions and improper can be converted to mixed
decimal fractions can be represented visually and in written form;
decimal fractions care a part of the base ten system;
mixed decimal fractions can be ordered based on the whole number and the decimal fraction;
fractional numbers and mixed numbers can be added and/or subtracted;
a decimal fraction can be multiplied and/or divided by a whole number.
Essential Questions: Q
What is a fraction and how can it be represented?
What is an improper fraction and how can it be represented?
What is a mixed number and how can it be represented?
What is a decimal fraction and how can it be represented?
How do we add and subtract fractions?
How do we add, subtract, multiply, and divide decimal fractions?
How do we apply the use of fractions in everyday life?
How do we apply decimal fractions in everyday life?
When is it appropriate to use fractions?
When is it appropriate to use decimal fractions?
Students will know… K
Numerator: the term above the line in a fraction. The numerator tells how many parts are being talked
about or considered.
Denominator: the number below the line in a fraction. The denominator indicates what kind or size of
parts the numerator counts.
Decimal Point: a period separating the ones and tenths.
Decimal: a base-ten number that uses place value and a decimal point to show 10 th, 100th.
Decimal Fraction: a fraction that is expressed using decimal notation.
Mixed Number: a number named by a whole number and a fraction.
Students will be able to … S
read a fractional number;
illustrate a decimal fraction;
read a decimal fraction;
add and subtract fractions with like denominators;
add and subtract one and two-digit decimal fractions;
multiply and divide one and two-digit decimal fractions;
add, subtract, and order decimal fractions;
convert mixed numbers to improper fractions and improper fractions to mixed numbers;
compare fractions and express their relationship using the symbols <, >, or =;
compare decimal fractions and express their relationship using the symbols <, >, or =.
Stage 2 – Assessment Evidence
Performance Task(s): T
Rolling Around With Decimals
Other Evidence: OE
Common Pre & Post Assessments Analysis
Unit Post Assessments (includes higher level questions)
Performance Task Rubrics
Reteach, Practice, Challenge, or Problem Solving workbook pages
Stage 3 – Learning Plan
Learning Activities: L
Problem of the Day
Place Value Bingo
Reinforcement in Place Value (dice activity)
Problem Solving Project
Alternative Teaching Strategies