OA-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.)// 3.OA.6. Understand division as an unknown-factor problem. //For example, find 32 ÷ 8 by finding the number that makes 32 when multiplied by 8.// //*//Students need not use formal terms for these properties. || ===‍‍‍‍‍‍**Anchor Standard/Mathematical Practice(s)**=== 3. Construct viable arguments and critique the reasoning of others. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. 2. Reason abstractly and quantitatively. 7. Look for and make use of structure. ||
 * ===**Common Core Standards**===
 * Understand properties of multiplication and the relationship between multiplication and division.**
 * 3.OA.5**
 * 3.OA.6 **
 * ===‍‍‍‍‍‍**Information Technology Standard**===

**3.TT.1 Use technology tools and skills to reinforce classroom concepts and activities.**
|| ===‍‍‍‍‍‍**Revised Bloom's Level of thinking**=== Can the student break information into arts to explore understandings and relationships? (Comparing, Organizing, Deconstructing, Interrogating, Finding, Differentiating, Attributing) ||
 * 3.OA.5/3.OA.6 Analyzing**

‍‍‍‍‍‍**I can...**
//*Note: Students do not need to memorize names of properties; the focus is on flexibly and fluently applying the properties.* //
 * 3.OA.5 I can use properties of operations to multiply and divide. **
 * Model properties of operations (commutative, associative, distributive) using objects, drawings, area models, and arrays.
 * Apply properties of operations (commutative, associative, and distributive) to multiply flexibly and fluently.


 * 3.OA.6 I can solve division problems using inverse operation of multiplication.**
 * Recall multiplication and division fact families for two numbers 0-10 multiplied together.
 * Recall model for division problems.
 * Write the equation for a division problem given the model.
 * Write the equivalent multiplication equation when given a division problem.
 * Explain the relationship between division and an unknown-factor problem.
 * Understand division as an unknown-factor problem.

‍‍‍‍‍‍**Essential Vocabulary** Teacher Glossary


 * **3.OA.5** || **3.OA.6** ||
 * <span style="display: block; font-family: Arial,sans-serif; font-size: 10pt; text-align: center;">Operation <span style="display: block; font-family: Arial,sans-serif; font-size: 10pt; text-align: center;">Multiply  <span style="display: block; font-family: Arial,sans-serif; font-size: 10pt; text-align: center;">Divide  <span style="display: block; font-family: Arial,sans-serif; font-size: 10pt; text-align: center;">Factor  <span style="display: block; font-family: Arial,sans-serif; font-size: 10pt; text-align: center;">Product  <span style="display: block; font-family: Arial,sans-serif; font-size: 10pt; text-align: center;">Quotient  <span style="display: block; font-family: Arial,sans-serif; font-size: 10pt; text-align: center;">Strategies  <span style="display: block; font-family: Arial,sans-serif; font-size: 10pt; text-align: center;">Properties – rules about how numbers work  <span style="display: block; font-family: Arial,sans-serif; font-size: 10pt; text-align: center;">Decompose  <span style="display: block; font-family: Arial,sans-serif; font-size: 10pt; text-align: center;">Fact family  || <span style="display: block; font-family: Arial,sans-serif; font-size: 10pt; text-align: center;">Equivalent  <span style="display: block; font-family: Arial,sans-serif; font-size: 10pt; text-align: center;">Unknown factor  <span style="display: block; font-family: Arial,sans-serif; font-size: 10pt; text-align: center;">Divide  <span style="display: block; font-family: Arial,sans-serif; font-size: 10pt; text-align: center;">Quotient  <span style="display: block; font-family: Arial,sans-serif; font-size: 10pt; text-align: center;">Factor  <span style="display: block; font-family: Arial,sans-serif; font-size: 10pt; text-align: center;">Division  <span style="display: block; font-family: Arial,sans-serif; font-size: 10pt; text-align: center;">Inverse  ||

‍‍‍‍‍‍**Sample Assessments**

 * 1) **Formal and informal teacher made assessments using RBT question stems.**
 * 2) **District predictive assessments.**
 * 3) **Standardized tests.**
 * 4) **Observations, data collection (student data books), and conferences.**
 * 5) **Scholastic Math Inventory**

‍‍‍‍‍‍**Differentiation**

 * 1) ** Learning style surveys (student interest and teacher created). **
 * 2) ** Small group settings based on skill levels. **
 * 3) ** Peer tutors. **
 * 4) ** Tiered assignments. **
 * 5) ** Flexible grouping **
 * 6) ** Centers (finding, identifying, creating patterns with numbers, week by week essentials games) **
 * 7) **Learning Contracts**
 * 8) **Choice boards (create math games, make flashcards)**
 * 9) **Investigations website**

‍‍‍‍‍‍**Intervention:**

 * **Scholastic Math Inventory**
 * **Math Tutors**
 * **One on one direct instruction**
 * **Math based web sites ([|www.multiplication.com], [|www.abcya.com], [|www.ixl.com], [|www.sheppardssoftware.com]www.mrsgoldsclass.com www.mathplayground.com**
 * **Intervention sites**: (JennyLendElementary) www.mathwire.com
 * **Investigations Math site**
 * **Illuminations**

‍‍‍‍‍‍**Enrichment:**

 * 1) **Math based web sites ([|www.multiplication.com],[| www.abcya.com], [|www.ixl.com], [|www.sheppardssoftware.com])**
 * 2) **Scholastic Math Inventory**
 * 3) **Group projects (creating games, make flashcards, pose questions)**
 * 4) **Investigations Math site**
 * 5) **Illuminations**

Envisions Math
Investigations Math Websites Manipulatives (hands-on instruction) graph paper, square tiles for making arrays, perimeter games Student Pages Envisions OA5, OA6
 * Illuminations**