# 4th Grade Math Unit 06 UBD by ashrafp

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```									                                     Understanding by Design
Unit 6 – Fractions and Decimals
8 Weeks

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
numbers;
   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
 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
   illustrate 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

Fraction Match
Rolling Around With Decimals
Shapely Fractions
Input/Output Machines
Flag Fractions
Fraction Shakedown

Other Evidence:                                                                                        OE
Common Pre & Post Assessments Analysis
Unit Post Assessments (includes higher level questions)
Quizzes
Informal Observations
Reteach, Practice, Challenge, or Problem Solving workbook pages
Stage 3 – Learning Plan

Learning Activities:                                                             L
Problem of the Day
Minute Math
Place Value Bingo
Reinforcement in Place Value (dice activity)
Websites:
http://www.funbrain.com/cgi-bin/tens.cgi?A1=s&A2=1