Grade 6 Mathematics · Unit 6: Numerical and Algebraic ExpressionsStandard 6.AT.6a

Lesson 6.56.3 · 6.4 · 6.5 Catch-Up

Start hereWords, worked example, and sentence starters

Name Date Period

Learning target I can show I am caught up on Lessons 6.3 · 6.4 · 6.5 by using each lesson's big idea in mixed practice.

Why This Matters Missed a lesson — or just want a refresher? This catch-up station reviews Lessons 6.3 · 6.4 · 6.5: 6.3 Explore Numerical Expressions with Exponents, 6.4 Write and Evaluate Numerical Expressions with Exponents, 6.5 Write and Evaluate Algebraic Expressions. Work one example from each lesson, then prove you're caught up in the mixed practice.

Start hereWords for this lesson

Read each word before you begin. Say it out loud.

Word	What it means	Example
ExponentSpanish: Exponente	A small number that tells how many times to multiply a number by itself.	In 2³, the small 3 means multiply 2 by itself 3 times: 2 × 2 × 2 = 8
BaseSpanish: Base	The number that gets multiplied by itself.	In 5², the base is 5 — it is the number being multiplied: 5 × 5 = 25
PowerSpanish: Potencia	A number written with a base and an exponent, like 2³.	10³ = 10 × 10 × 10 = 1,000 — read as '10 to the third power' or '10 cubed'
EvaluateSpanish: Evaluar	To find the value by putting numbers in for the letters.	Evaluate 3⁴: write 3 × 3 × 3 × 3, then multiply step by step: 9 × 9 = 81
Numerical expressionSpanish: Expresión numérica	A math phrase built from numbers and operations, with no equal sign and no variable.	4 × 20 is an expression; 4 × 20 = 80 is an equation
Order of operationsSpanish: Orden de las operaciones	The agreed order for evaluating: grouping symbols, then exponents, then multiply and divide left to right, then add and subtract left to right.	3 + 4 × 2² → 3 + 4 × 4 → 3 + 16 = 19

How it worksWorked example

These numbers are not on your problems. The steps are. Follow them with your own numbers.

A taxi charges $3 to start plus $2 for each mile. Write an expression for the fare for m miles.

Let m = the number of miles.
$2 repeats each mile: 2m.
The $3 start fee happens once. Join: 2m + 3.

Answer: 2m + 3 dollars

Now you trySame steps, your turn

The steps are the same as the worked example. The numbers are yours. Do the work.

Find the value of 4².

Answer:

Say it and write itSentence starters

Finish each sentence out loud with a partner. Then use them in your writing.

I let stand for .
The coefficient shows the amount for each .
The constant happens only .
My expression for this situation is .

Word bank variablealgebraic expressioncoefficientconstanttermeachone-timeperstands fordefinetotalunknown

Watch out!A common mistake

A common mistake in Write Algebraic Expressions is treating 'each' or 'per' as if it means add instead of multiply, and attaching the variable to the wrong number. For 'a $25 setup fee plus $8 per hour, h,' students often write 25 + 8 + h (adding all three numbers) or 25h + 8 (multiplying the flat fee by h) instead of the correct 8h + 25. Since $8 applies per hour, it must multiply the variable (8h), and the flat $25 fee is a constant added only once

Grade 6 Mathematics · Unit 6: Numerical and Algebraic ExpressionsStandard 6.AT.6a

Lesson 6.56.3 · 6.4 · 6.5 Catch-Up

Catch-UpSkill bridge

Mastery check☐ Exceeds☐ Meets target☐ Needs practice

Name Date Period

Learning target I can show I am caught up on Lessons 6.3 · 6.4 · 6.5 by using each lesson's big idea in mixed practice.

1Complete each step, then write the final answer.

Find the value of 3².
Show your work
Hint Use 3 as a factor 2 times.
Final answer:
2Complete each step, then write the final answer.

Write 2 × 2 × 2 × 2 as a power. What is its value?
Show your work
Hint Count the factors of 2. That is the exponent. Then multiply.
Final answer:
3Complete each step, then write the final answer.

Evaluate 3 + 2 × 4².
Show your work
Hint Find 4² first. Then multiply. Add last.
Final answer:
4Complete each step, then write the final answer.

There are 5 boxes with 2³ apples in each box. 6 apples are bad. Evaluate 5 × 2³ − 6 to find the good apples.
Show your work
Hint Find 2³ first. Then multiply by 5. Subtract last.
Final answer:
5Complete each step, then write the final answer.

Evaluate 4m + 6 when m = 5.
Show your work
Hint Put 5 in place of m. 4m means 4 × m.
Final answer:
6Complete each step, then write the final answer.

Books cost $3 each. A bag costs $2, paid one time. Let b be the number of books. Write an expression for the total cost. Find the cost for 7 books.
Show your work
Hint The $3 is for each book, so write 3b. Add the $2 one time.
Final answer:

Explain your thinkingWhat key words helped you decide which operation to use? How can the same phrase be written differently?

Sentence starter The phrase '___ ' tells me to use ___ because the key word ___ means ___.

3-Point Exit Checklist: ☐ 1. Units & Labels Verified ☐ 2. Mathematical Reasoning Stated ☐ 3. Calculations Double-Checked

How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help