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Math lesson plan · 6th grade (Year 7 in England) · 45 minutes

Name the parts of an expression: terms, coefficients and constants

Algebra

CCSS 6.EE.A.2.BEngland: KS3 Algebra

Objective and success criteria

Students will: Name the parts of an expression: terms, coefficients and constants.

  • I can answer questions on today's skill on my own, without help.
  • I can explain each step and say why it works.
  • I can check my answer and spot a mistake.

Before and after

Needs first: Write algebraic expressions

Leads to: the next skill in this area.

Materials: Balance scales or a balance drawing, Algebra tiles, Function machine cards, Mini whiteboards and pens, Printed student sheet (below).

Warm-up · 5 min

  • Quick retrieval from earlier learning (Write algebraic expressions). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. Which expression means "9 less than n"? (n − 9 / 9 − n / 9n / n/9) → n − 9Prompt: Translate the words in order, carefully.
  2. Write an expression for: 3 times a number n, minus 4. → 3n-4Prompt: '3 times n' is written 3n.
  3. Nia buys x cinema tickets at 9 each and pays a booking fee of 5. Write an expression for the total cost. → 9x+5Prompt: How much do x tickets cost?

Hook · 5 min

  • Show a "think of a number" puzzle and ask the class to work out the starting number.
  • Share the objective: Name the parts of an expression: terms, coefficients and constants. Read the success criteria together.

I do: model it · 10 min

  • Work through the example out loud, saying why you do each step, not just what you do.
  • Example: In 10x + 11y + 10, what is the coefficient of y?
  • Step 1: The y-term is 11y, so the coefficient is 11.
  • Answer: 11
  • Pause after each step and ask a student to say what comes next.

We do: guided practice · 10 min

  • Do these together. Students try each step on whiteboards before you reveal it.
  • Use the hints as prompts rather than giving the answer.
  1. In 3x + 8y + 7, what is the coefficient of y? → 8Prompt: A coefficient is the number multiplying a variable.
  2. How many terms are in the expression 4b + 2? → 2Prompt: Terms are separated by + or − signs.

You do: independent practice · 10 min

  • Students work on the student sheet. Circulate and check the first two answers of every student early.
  • Students who finish: write a question of their own for a partner, with the answer.

The 8 questions are on the student sheet below, with answers in the key.

Exit ticket · 5 min

  • Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.
  1. In 12x + 5y + 12, what is the coefficient of x? → 12Prompt: A coefficient is the number multiplying a variable.
  2. How many terms are in the expression 7 + 9y + 5a + 3x? → 4Prompt: Terms are separated by + or − signs.

Watch out for

  • Doing an operation to one side of an equation but not the other.
  • Reading 3x as 3 + x, or thinking x always stands for one particular number.

Support and stretch

Support

  • Review first: Write algebraic expressions.
  • Use concrete materials: balance scales or a balance drawing.
  • Give the first step of each question, or a partly worked example to finish.
  • Pair with a confident partner for the guided practice.

Stretch

  • Explain a common mistake in writing and how to fix it.
  • Write a word problem that uses today's skill, then solve a partner's.

Homework and more practice

Free online practice with hints and printable worksheets for this skill: eurekami.com/math/grade-6.

Free lesson plan from eurekami.com/lesson-plan-builder

eurekami

Name the parts of an expression: terms, coefficients and constants

Name

Date

Score/ 8

  1. Question 1

    How many terms are in the expression 11 + 4n?

    Answer

  2. Question 2

    What is the constant term in 8m² + 2m − 5? (Include its sign.)

    Answer

  3. Question 3

    In 10x + 12y + 12, what is the coefficient of x?

    Answer

  4. Question 4

    How many terms are in the expression 3a + 7x + 2y + 2 + 9n?

    Answer

  5. Question 5

    What is the constant term in 5m² + 5m + 19? (Include its sign.)

    Answer

  6. Question 6

    In 5x + 11y + 4, what is the coefficient of y?

    Answer

  7. Question 7

    How many terms are in the expression 7x + 2 + 4a?

    Answer

  8. Question 8

    What is the constant term in 9m² + 5m − 17? (Include its sign.)

    Answer

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Answer key: Name the parts of an expression: terms, coefficients and constants

  1. 1. 2

  2. 2. -5

  3. 3. 10

  4. 4. 5

  5. 5. 19

  6. 6. 11

  7. 7. 3

  8. 8. -17