Math Is Marvelous
We are currently working on Unit 5 in our Everyday Math 4 program.
Summary Statement of Unit: The study of pictures and symbols used to represent fractions, and strategies that develop multiplicative reasoning through the use of structure and precision of language.
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.
Number & Operations - Fractions
Develop understanding of fractions as numbers.
3.NF.1 Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b.
Measurement & Data
Geometric measurement: understand concepts of area and relate area to multiplication and to addition.
3.MD.7 Relate area to the operations of multiplication and addition.
Key Vocabulary: decompose, denominator, double, equal parts, equivalent fractions, even number, factor, fraction, missing factor, multiple of a number, numerator, odd number, product, unit fraction, whole number.
Supporting Vocabulary: adding a group, break apart, helper facts, near squares, subtracting a group
Standards of Mathematical Practice for Unit 5
Look for and make use of structure. Mathematically proficient students look closely to discern a pattern or structure. Young students, for example, might notice that three and seven more is the same amount as seven and three more.
Attend to precision. Mathematically proficient students try to communicate precisely to others. They try to use clear definitions in discussion with others and in their own reasoning. They state the meaning of the symbols they choose, including using the equal sign consistently and appropriately.
Click on the SMP6 and SMP7 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/