Stage 1- Desired Results
- 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.4a-1, 4a-2, 4b-1,6-1,7a,7b,7c ; 6.NS,1-2- Multiplying and dividing with fractions
- CCSS 5.NF.3-1, 3-2 Interpreting fractions
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
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
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?
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