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Secondary Math Lesson Plans8 chapters | 176 lessons

Instructor:
*Tammy Galloway*

Tammy teaches business courses at the post-secondary and secondary level and has a master's of business administration in finance.

Teachers, this lesson plan reviews a type of square root called surds. Students will read a lesson, practice calculating surds in a variety of formats and participate in an engaging activity to demonstrate learning.

After this lesson, students will be able to:

- Define relevant vocabulary relating to calculating surds
- Add and subtract surds
- Multiply and simplify surds

60 minutes

- CCSS.MATH.CONTENT.8.EE.A.1

Know and apply the properties of integer exponents to generate equivalent numerical expressions. For example, 32 * 3-5 = 3-3 = 1/33 = 1/27.

- CCSS.MATH.CONTENT.8.EE.A.2

Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that ?2 is irrational.

- CCSS.MATH.CONTENT.8.EE.A.3

Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other. For example, estimate the population of the United States as 3 times 108 and the population of the world as 7 times 109, and determine that the world population is more than 20 times larger.

- Hard copies of the How to Calculate with Surds lesson and lesson quiz
- Chalk or dry erase markers
- Sheets of paper
- Pencils
- Note cards

- Begin the lesson by asking students to discuss their experience with square roots.
- Now explain that they are going to explore square roots, specifically called surds in this lesson.
- Distribute the How to Calculate with Surds lesson, select a volunteer to read 'How to Calculate with Surds' and 'Irrational Numbers and Surds' out loud.
- Then, give students a piece of paper and pencil and ask them to write down a rational and irrational number.
- Ask them to share their answers and clarify as necessary.
- Now choose another volunteer to read 'Products, Quotients and Square Roots', shoulder pair students and ask them to work the problem in this section and be able to explain thoroughly.
- Select a volunteer to come to the board and calculate the problem, or you may also ask several students to work and explain different parts of the problem.
- Choose a student to read the next section 'Difference of Squares', then allow students to work independently to complete the example problem, provide assistance as needed.
- Now ask students to read the remainder of the lesson quietly.
- Students may choose a friend to work through the example problem in this section.
- Complete the steps of the example problem on the board and provide clarity as needed.
- Next distribute the How to Calculate with Surds lesson quiz and complete the quiz as a class.

- Begin this activity by asking students what they learned from the lesson.
- Then explain that they are going to solidify their understanding of surds in this activity.
- Divide the class into two groups, distribute 7 note cards to each and assign each group one of the following:
- definitions
- example problems

- Ask the 'definitions' group to peruse the hard copy lesson and write each black bolded word from the lesson on a note card and the definition on the back.
- Then ask the 'example problems' group to review the problems in the lesson and create seven similar problems, writing each one on the front of a note card.
- Collect all the cards and create two stacks each with a mixture of definitions and example problems.
- Next make two new teams: Team A and Team B and explain these directions:
- Team A will choose a card and define the word or solve the problem without help from their team mates. (If a definition card, they can't look at the back.)
- If the answer is accurate, give the team 10 points; if the answer is inaccurate deduct 10 points.
- Repeat the steps above until all note cards have been answered accurately.
- The team with the most points wins.

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Secondary Math Lesson Plans8 chapters | 176 lessons

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