Stage 1 Desired Results
Establish Goals
 5.8.2 Apply and adapt a variety of appropriate strategies to solve problems.
 5.8.3 Monitor and reflect on the process of problem solving.
 6.1 The student represents and uses rational numbers in a variety of equivalent forms. The student is expected to: (B) generate equivalent forms of rational numbers including whole numbers, fractions, and decimals
 The student solves problems involving direct proportional relationships. The student is expected to: (B) represent percents with concrete models, fractions, and decimals (7.1) The student represents and uses numbers in a variety of equivalent forms. The student is expected to: (B) convert between fractions, decimals, whole numbers, and percents
 CCSS 6.NS.4 – GCF, LCM
 CCSS..5.NF.A.1  +/ fractions with unlike denominators
 CCSS.5.NF.A.2 Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators
 CCSS..5.NF.B.3 Interpret a fraction as division of the numerator by the denominator
 CCSS 5.NF.4a1, 4a2, 4b1,61,7a,7b,7c ; 6.NS,12 Multiplying and dividing with fractions
 CCSS 5.NF.31, 32 Interpreting fractions

Transfer Learners will be able to.... Apply their mathematical knowledge, skill and reasoning, specifically that of operational and rational numbers (fractions, decimals & percents), and problem solving strategies to determine and justify answers to authentic problems
 Apply their mathematical knowledge, specifically that of operational and rational number to their everyday lives


Meaning UNDERSTANDINGS Learners will understand that...
 Rational numbers can be represented as decimals, fractions, and percents
 Strategies can be used to simplify expressions and to compare and order rational numbers
 There are advantages and disadvantages to each type of representation (fractions, decimals, and percents)
 Sometimes the “correct” unit rate (i.e., fractions, decimals, and percents) is not the best solution to real world problems
 To compare fractions and decimals the numbers must be converted to the same form
 Essential Questions Learners will keep considering...
 Why do we need rational numbers?
 How are rational numbers used in our everyday lives?
 How are mathematical ideas interconnected and build on one another to produce a coherent whole
 Why do we need to compare rational numbers and which form is best to use given a specific situation?


Acquisition
Learners will know…
 Key Term definitions – unit rate, percent, decimal, mixed & improper fractions, rational number
 The properties of rational numbers expressed in a variety of forms
 Strategies to convert between rational numbers.
 When comparing fractions, a common denominator is essential
 There are key questions to ask when solving a problem
 Learners will be skilled at...
 Computing with rational numbers being expressed in a variety of forms
 Determine if a solution is appropriate and moving beyond a particular problem by thinking of other situations
 Computing the LCM, GCF to help solve problems
 Simplifying fractions.
 Generating equivalent forms of rational numbers.
 Converting between fractions, decimals, whole numbers
 Calculating rational numbers using the 4 operations
 Identifying and calculating exponents and powers of numbers
 Using various problem solving strategies to solve authentic problems
 Asking themselves key questions when solving problems


