## Operations and Algebraic Thinking

**Use the four operations with whole numbers to solve problems.**

1. Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 × 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations.

2. Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison.

X Factor Multiplication: Looking at multiplication as repeated addition, word problems are used for students to practice the skill. You will need the powerpoint and the worksheets. ;

Study Jams -solve word problems involving multiplicative comparisons.

Study Jams - Creating equations from word problems

Study Jams - Determine the Missing Operation in a given Equation

3. Solve multi-step word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and

estimation strategies including rounding.

Learn Zillion - Detailed Common Core lessons with video slideshow. Extended resources are listed on right side of screen.

**Gain familiarity with factors and multiples.**

4. Find all factor pairs for a whole number in the range 1–100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1–100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1–100 is prime or composite.

Learn Zillion - Detailed Common Core lessons with video slideshow. Extended resources are listed on right side of screen.

Study Jams - Multiples

Study Jams - Prime & Composite Numbers

Study Jams - Multiplication (Factors)

**Generate and analyze patterns.**

5. Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. For example, given the rule “Add 3” and the starting number 1, generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers. Explain informally why the

numbers will continue to alternate in this way.

Learn Zillion - Detailed Common Core lessons with video slideshow. Extended resources are listed on right side of screen.

**Study Jams**-Basic number pattern rules