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.

Start hereWords for this lesson

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

WordWhat it meansExample
Powers and ExponentsSpanish: Potencias y exponentes A power uses a base and an exponent to show repeated multiplication. 2⁴ = 2 × 2 × 2 × 2 = 16
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
Write and Evaluate Numerical Expressions with ExponentsSpanish: Escribir y evaluar expresiones numéricas con exponentes Turning a situation into a number sentence without an equal sign, then finding its value in the correct order. 2 × 15 + 4 × 20 + 8 × 2³ = 174

How it worksWorked examplewriting an expression with a variable

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

A club buys a $14 shirt for each member and pays one $35 setup fee. Write an expression for the total cost.

  1. Name the unknown. Let m = the number of members.
  2. Write the part that changes. $14 for each member → 14m
  3. Write the part that stays the same. one-time fee → 35
  4. Join them with the operation the story needs. 14m + 35

Answer: The expression is 14m + 35, where m stands for the number of members.

Now you trySame steps, your turn

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

A camp charges $9 for each craft kit and one $20 registration fee. Write an expression for the total cost.

  1. Name the unknown. Let = the number of craft kits.
  2. Write the part that changes. $9 for each kit →
  3. Write the part that stays the same.
  4. Join them with the operation.
Answer:expression for the total cost

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 outA 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 — check that the per-unit rate, not the flat fee, is the number multiplied by the variable.

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.

Part 1Understand the ideamodels and meaning
  1. 1Circle the letter of the best answer. Show how you know.

    (Lesson 6.4) What does 2³ mean?

    1. A2 × 2 × 2
    2. B2 × 3
    3. C2 + 2 + 2
    4. D3 × 3

    Hint Which number is the base, and which is the exponent?

    Show your work
  2. 2Circle the letter of the best answer. Show how you know.

    (Lesson 6.5) Which expression represents 'the product of 6 and a number n'?

    1. A6n
    2. B6 + n
    3. Cn − 6
    4. Dn ÷ 6

    Hint Underline the key word 'product.' Every operation has a code word — which operation does 'product' name?

    Show your work
Part 2Apply itreal-world problems
  1. 3Circle the letter of the best answer. Show how you know.

    (Lesson 6.3) What is the value of 4³?

    1. A7
    2. B12
    3. C43
    4. D64

    Hint Look at the small raised 3. That exponent counts how many 4's get multiplied — it is not a number to multiply 4 by.

    Show your work
  2. 4Circle the letter of the best answer. Show how you know.

    (Lesson 6.3) What is the value of 6²?

    1. A8
    2. B12
    3. C36
    4. D62

    Hint The little 2 is the exponent. It counts how many 6's you multiply — it's not a number to add or multiply by.

    Show your work
  3. 5Circle the letter of the best answer. Show how you know.

    (Lesson 6.4) Evaluate 3 + 4 × 2.

    1. A9
    2. B11
    3. C14
    4. D24

    Hint Which operation comes first in the order of operations?

    Line up the place values
    1. 1Line upPoints under points.
    2. 2Fill gapsWrite in the zeros.
    3. 3OperateRight to left.
    4. 4Bring the point downStraight down.

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 ___.

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