Using the Order of Operations
Evaluate mulƟ-step numerical expressions using order of operaƟons.
JOURNAL QUESTIONS
1
If you have the expression 8 + (5 × 2) - 3, how do you decide what to calculate first? Why is it important to follow the order of operaƟons?
2
Imagine you need to solve the expression 12 ÷ (4 + 2) × 3. How would the answer change if you did not use parentheses? What does this tell you about the order of operaƟons?
3
Think about the expression 7 × 2 + (9 - 3) ÷ 2. How can you use the order of operaƟons to simplify it, and what is the importance of each step in geƫng the correct answer?
STEP 1: (8 ½” x 11”) -like) fold.
Fold a sheet of standard paper S T E P 2 : Cut up the middle of the inside towards the peak of the fold This cut forms two large tabs. using a horizontal (hamburger
STEP 3: Cut the tab off at the top of the fold line.
STEP 4: This cut forms three large tabs that can be used for a three-quarter display.
NUMERICAL EXPRESSIONS M A . 5 . A R . 2 . 2 ehT pets-yb-pets aulaveƟno fo eht laciremun noisserpxe si .nevig nedIƟyf ni hcihw pets eht tsrfi ekatsim .sraeppa :NEVIG 2PETS 3PETS 1PETS
Fold along the line. Cut along the doƩed line
GLUE THIS PANEL EVALUATING
TO YOUR JOURNAL
DISREGARD THIS PANEL
Cut along the doƩed line
Evaluate the numerical expression step-by-step.
27 - (6 × 12 ) ÷ 3
Two similar expressions are given. Evaluate each expression. Explain why the results are the same or different.
EXPRESSION1
EXPRESSION2
Fold along the line.
Three very similar equaƟons are given Are all the equaƟons true? Explain your answer.
EQUATION1
EQUATION2
EQUATION3
Determining Rules for Describing Patterns as an Expression
Given a numerical paƩern, idenƟfy and write a rule that can describe the paƩern as an expression.
JOURNAL QUESTIONS
1
Look at this paƩern: 2, 4, 8, 16, 32. What is happening to the numbers as the paƩern conƟnues? Can you write a rule to describe how to get the next number?
2
Here is a paƩern: 3, 6, 9, 12, 15. Can you find a rule that explains how the paƩern is growing? How would you write that rule as an expression?
3
In this paƩern: 1, 4, 7, 10, 13, each number increases in a certain way. Can you idenƟfy the rule for this paƩern and write it as an expression?
STEP 1:
STEP 4: This cut forms three large tabs that can be used for a three-quarter display. MA.5.AR.3.1
STEP 3: Cut the tab off at the top of the fold line. Fold a sheet of standard paper S T E P 2 : Cut up the middle of the inside towards the peak of the fold. This cut forms two large tabs. (8 ½” x 11) using a horizontal (hamburger -like) fold.
nialpxE eht ssecorp uoy dewollof ot etaerc siht rebmun apƩ.nre etaerC a rebmun apƩnre taht swollof eht elur , erehw
Fold along the line. Cut along the doƩed line
TO YOUR JOURNAL
DISREGARD THIS PANEL
Cut along the doƩed line
Create a number paƩern that follows the rule 3x + 1, where x = 0, 1, 2, 3,
Explain the process you followed to create this number paƩern.
A number paƩern is shown below. Write a mathemaƟcal descripƟon for the rule of the number paƩern.
5, 8, 11, 14, 17, 20, 23
MathemaƟcal descripƟon:
Write a numerical expression that describes the rule of the paƩern.
Numerical expression:
Fold along the line.
A number paƩern is shown below. Write a mathemaƟcal descripƟon for the rule of the number paƩern.
18, 24, 30, 36, 42, 48
MathemaƟcal descripƟon:
Write a numerical expression that describes the rule of the paƩern.
Numerical expression:
