Math Is Marvelous
We are currently working on Unit 9 in our Everyday Math 4 program.
Summary Statement: The study of the relationships between multiplication and division and the importance of place value in solving multi-digit operations through the use of models and perseverance.
Focus Standards for this Unit
Operations & Algebraic Thinking
Represent and solve problems involving multiplication and division.
3.OA.1 Interpret products of whole numbers, e.g., interpret 5 × 7 as the total number of objects in 5 groups of 7 objects each. For example, describe a context in which a total number of objects can be expressed as 5 × 7.
Understand properties of multiplication and the relationship between multiplication and division.
3.OA.5 Apply properties of operations as strategies to multiply and divide. Examples: If 6 × 4 = 24 is known, then 4 × 6 = 24 is also known. (Commutative property of multiplication.) 3 × 5 × 2 can be found by 3 × 5 = 15, then 15 × 2 = 30, or by 5 × 2 = 10, then 3 × 10 = 30. (Associative property of multiplication.) Knowing that 8 × 5 = 40 and 8 × 2 = 16, one can find 8 × 7 as 8 × (5 + 2) = (8 × 5) + (8 × 2) = 40 + 16 = 56. (Distributive property.)
Multiply and divide within 100.
3.OA.7 Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 × 5 = 40, one knows 40 ÷ 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers.
Measurement & Data
Solve problems involving measurement and estimation.
3.MD.1 Tell and write time to the nearest minute and measure time intervals in minutes. Solve word problems involving addition and subtraction of time intervals in minutes, e.g., by representing the problem on a number line diagram.
Key Vocabulary: arithmetic facts, basic facts, break apart, decompose, doubles fact, efficient strategy, elapsed time, extended facts, fact extensions, length of day, multiplication facts, multiplication/division diagram, partition
Standards of Mathematical Practice for Unit 9
Make sense of problems and persevere in solving them. Mathematically proficient students start by explaining to themselves the meaning of a problem and looking for entry points to its solution. They make conjectures about the form and meaning of the solution and plan a solution pathway rather than simply jumping into a solution attempt.
Model with mathematics. Mathematically proficient students can apply the mathematics they know to solve problems arising in everyday life, society, and the workplace.
Click on the SMP1 and SMP4 link below for further explanation of these standards.
Everyday Math Online Help (you can find Homelinks and print at home) http://everydaymath.uchicago.edu/parents/3rd-grade/em4-at-home/
Khan Academy - students are responsible for 20 minutes a week on Khan or Prodigy (depending on homeroom teacher): https://www.khanacademy.org/
Prodigy Math https://prodigygame.com/