Coming Up This Week:
Thursday, September 12th- Back to School Night at 6:30pm. Fifth grade is a big transition year in which students grow and learn so much in preparation for 6th grade! Please come to Back to School Night to learn how we plan to help your child prepare for middle school!
Math- Unit 2 Addition & Subtraction
Within this unit, students will add and subtract 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. They relate their strategies to a written method and explain the reasoning used. Students write simple expressions, using parentheses, brackets, or braces that record calculations with numbers and they also evaluate expressions. The focus within this unit is using the operations of addition and subtraction. Students also interpret numerical expressions without evaluating them. Students use equivalent fractions as a strategy to add and subtract fractions. They add and subtract fractions with unlike denominators by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. They solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators by using visual fraction models or equations to represent the problem. Students use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers.
Fifth Grade Common Core State Standards addressed in this unit:
- 5.NBT.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.
- 5.NF.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.
- 5.NF.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.
- 5.OA.1- Use the parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.
- 5.OA.2- Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation “add 8 and 7, then multiply by 2” as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product.
The Standards for Mathematical Practices (SMP) utilized throughout the year are:
- SMP 1: Make sense of problems and persevere in solving them
- SMP 3: Construct viable arguments and critique the reasoning of others
- SMP 6: Attend to precision
The SMPs that should be emphasized within this unit are:
- SMP 2: Reason abstractly and quantitatively
- SMP 4: Model with mathematics
- SMP 7: Look for and make use of structure
- SMP 8: Look for and express regularity in repeated reasoning
