Giantburgers
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This learning activity provided by:
Author:
Morgan Boyd
Organization: Retirement
General Activity Information
Activity ID:
2580
Title: Giantburgers
Digital Tool/Resource: Giantburgers
Web Address – URL:
Overview: This is a free learning activity from Illustrative Mathematics. In this learning activity, students will read a headline about Giantburger restaurants, solve the real-world problem presented, and justify their reasoning.
This activity results from the ALEX Resource Development Summit.
Associated Standards and Objectives
Content Standard(s):
Mathematics 14. Develop and apply properties of integer exponents to generate equivalent numerical and algebraic expressions. [Grade 8, 3]
Unpacked Content
Evidence Of Student Attainment:
Students:
Use their understanding of exponents as repeated multiplication to create equivalent expressions and justify integer exponent properties. Teacher Vocabulary:
Knowledge:
Students know:
That whole number exponents indicate repeated multiplication of the base number and that these exponents indicate the actual number of factors being produced. Skills:
Students are able to:
Develop integer exponent operations in order to generate equivalent expressions through addition, multiplication, division and raising a power by another power with expressions containing integer exponents. Understanding:
Students understand that:
Just as whole number exponents represent repeated multiplication, negative integer exponents represent repeated division by the base number.
The exponent can be translated (visually. i.e. listing out the factors) to represent the exact number of factors being repeated so that the use of integer exponent operations ("rules") can be proven/make sense. Diverse Learning Needs:
Mathematics 3. Develop and apply properties of integer exponents to generate equivalent numerical and algebraic expressions.
Unpacked Content
Evidence Of Student Attainment:
Students:
Use their understanding of exponents as repeated multiplication to create equivalent expressions and justify integer exponent properties. Teacher Vocabulary:
Knowledge:
Students know:
that whole number exponents indicate repeated multiplication of the base number and that these exponents indicate the actual number of factors being produced. Skills:
Students are able to:
Develop integer exponent operations in order to generate equivalent expressions through addition, multiplication, division and raising a power by another power with expressions containing integer exponents. Understanding:
Students understand that:
just as whole number exponents represent repeated multiplication, negative integer exponents represent repeated division by the base number.
The exponent can be translated
(visually, listing out the factors) to represent the exact number of factors being repeated so that the use of integer exponent operations ("rules") can be proven/make sense. Diverse Learning Needs:
Essential Skills:
Learning Objectives: M.8.3.1: Define exponent, power, coefficient, integers, equivalent, and numerical expression.
M.8.3.2: Restate negative exponents as positive exponents in the form 1/x2 .
M.8.3.3: Restate zero exponents as 1 (x0 = 1).
M.8.3.4: Recognize to add exponents when multiplying terms with like bases (Property of product of powers).
M.8.3.5: Recognize to subtract exponents when dividing terms with like bases (Property of quotient of powers).
M.8.3.6: Compute a numerical expression with positive exponents.
M.8.3.7: Restate exponential numbers as repeated multiplication.
M.8.3.8: Compute problems with adding and subtracting integers.
Prior Knowledge Skills:
Define exponent, numerical expression, algebraic expression, variable, base, power, square of a number, and cube of a number.
Compute a numerical expression with exponents, with or without a calculator.
Restate exponential numbers as repeated multiplication.
Choose the correct value to replace each variable in the expression (Substitution).
Calculate the multiplication of single or multi-digit whole numbers, with or without a calculator.
Define integers, positive and negative numbers.
Demonstrate the location of positive and negative numbers on a vertical and horizontal number line.
Give examples of positive and negative numbers to represent quantities having opposite directions in real-world contexts.
Discuss the measure of centering of 0 in relationship to positive and negative numbers.
Discover that the opposite of the opposite of a number is the number itself.
Show on a number line that numbers that are equal distance from 0 and on opposite sides of 0 have opposite signs.
Learning Objectives: Students will be able to use their understanding of exponents as repeated multiplication to develop equivalent expressions and justify integer exponent properties.
Strategies, Preparations and Variations
Phase: After/Explain/Elaborate
Activity: Students should have been introduced to exponents and have had an opportunity to explore and investigate exponents. The teacher may choose to review integers as an introduction to this learning activity. This activity can be used to give students the chance to demonstrate their knowledge of exponents and explain their thinking.
The teacher should provide the students with a link to the website Giantburgers .
The students should have discovered in class that an exponent is repeated multiplication.
During this learning activity, students will demonstrate their understanding of exponents as repeated multiplication by reading a newspaper headline, solving the equation involving exponents, and deciding if the headline is true or false.
Students will then explain their reasoning and show how they solved the equation. As students work, the teacher should walk around the room and observe any students who might be struggling.
Assessment Strategies: The task of finding a solution to the Giantburgers headline scenario will be the assessment for the students.
Advanced Preparation: The teacher and students will need internet-connected devices to access the website.
The teacher can choose to download
Variation Tips (optional): Students who are struggling may need to be paired with stronger students.
This learning activity can be completed with a partner or as an independent activity.
This activity can be downloaded and printed out if internet-connected computers are not available.
Notes or Recommendations (optional): ALCOS 2019
8.3). Develop and apply properties of integer exponents to generate equivalent numerical and algebraic expressions.
Keywords and Search Tags
Keywords and Search Tags:
algebraic, equivalent, Exponents, expressions, Integers, numerical
