# The Great Race

Students will construct charts to examine number patterns and use these patterns to generate a graph of the situation. A graphing calculator is optional in this lesson.

### Standards & Objectives

CCSS.Math.Content.6.NS.A.1
Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction...
CCSS.Math.Content.6.NS.B.3
Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.
CCSS.Math.Content.6.NS.C.5
Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature...
CCSS.Math.Content.6.NS.C.7
Understand ordering and absolute value of rational numbers.
CCSS.Math.Content.7.EE.B.3
Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and...
CCSS.Math.Content.7.G.A.1
Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a...
CCSS.Math.Content.7.NS.A.1
Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a...
CCSS.Math.Content.7.NS.A.2
Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.
CCSS.Math.Content.7.NS.A.3
Solve real-world and mathematical problems involving the four operations with rational numbers.1
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....
CCSS.Math.Content.8.NS.A.1
Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational...
GLE 0606.1.2
Apply and adapt a variety of appropriate strategies to problem solving, including estimation, and reasonableness of the solution.
GLE 0606.1.5
Use mathematical ideas and processes in different settings to formulate patterns, analyze graphs, set up and solve problems and interpret solutions.
GLE 0606.2.1
Understand and explain the procedures for multiplication and division of fractions, mixed numbers, and decimals.
GLE 0606.2.2
Solve multi-step mathematical, contextual and verbal problems using fractions, mixed numbers, and decimals.
GLE 0606.2.4
Understand and convert between fraction, decimal, and percent forms of rational numbers.
GLE 0606.2.5
Develop meaning for integers; represent and compare quantities with integers.
GLE 0706.1.2
Apply and adapt a variety of appropriate strategies to problem solving, including estimation, and reasonableness of the solution.
GLE 0706.1.5
Use mathematical ideas and processes in different settings to formulate patterns, analyze graphs, set up and solve problems and interpret solutions.
GLE 0706.1.8
Use technologies/manipulatives appropriately to develop understanding of mathematical algorithms, to facilitate problem solving, and to create accurate and...
GLE 0706.2.1
Extend understandings of addition, subtraction, multiplication and division to integers.
GLE 0706.2.2
Understand and work with the properties of and operations on the system of rational numbers.
GLE 0706.2.5
Understand and work with squares, cubes, square roots and cube roots.
GLE 0706.4.3
Understand and use scale factor to describe the relationships between length, area, and volume.
GLE 0806.2.1
Extend understanding of the real number system to include irrational numbers.
SPI 0606.2.1
Solve problems involving the multiplication and division of fractions.
SPI 0606.2.2
Solve problems involving the addition, subtraction, multiplication, and division of mixed numbers.
SPI 0606.2.3
Solve problems involving the addition, subtraction, multiplication, and division of decimals.
SPI 0606.2.4
Solve multi-step arithmetic problems using fractions, mixed numbers, and decimals.
SPI 0606.2.7
Locate positive rational numbers on the number line.
SPI 0606.2.8
Locate integers on the number line.
SPI 0606.3.7
Use algebraic expressions and properties to analyze numeric and geometric patterns.
SPI 0706.1.4
SPI 0706.2.1
Simplify numerical expressions involving rational numbers.
SPI 0706.2.3
Use rational numbers and roots of perfect squares/cubes to solve contextual problems.
SPI 0706.2.5
Solve contextual problems that involve operations with integers.
SPI 0706.4.3
Apply scale factor to solve problems involving area and volume.
SPI 0806.2.2
Identify numbers and square roots as rational or irrational.
TSS.Math.6.NS.A.1
Interpret and compute quotients of fractions, and solve contextual problems involving division of fractions by fractions (e.g., using visual fraction models...
TSS.Math.6.NS.B.3
Fluently add, subtract, multiply, and divide multi-digit decimals using a standard algorithm for each operation.
TSS.Math.6.NS.C.5
Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below...
TSS.Math.6.NS.C.7
Understand ordering and absolute value of rational numbers.
TSS.Math.7.EE.B.3
Solve multi-step real-world and mathematical problems posed with positive and negative rational numbers presented in any form (whole numbers, fractions, and...
TSS.Math.7.G.A.1
Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale...
TSS.Math.7.NS.A.1
Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a...
TSS.Math.7.NS.A.2
Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.
TSS.Math.7.NS.A.3
Solve real-world and mathematical problems involving the four operations with rational numbers. (Computations with rational numbers extend the rules for...
TSS.Math.8.EE.A.2
Use square root and cube root symbols to represent solutions to equations of the form x 2 = p and x 3 = p, where p is a positive rational number. Evaluate...
TSS.Math.8.NS.A.1
Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show...

Alignment of this item to academic standards is based on recommendations from content creators, resource curators, and visitors to this website. It is the responsibility of each educator to verify that the materials are appropriate for your content area, aligned to current academic standards, and will be beneficial to your specific students.

Learning objectives:

Objective:

Students will construct charts to examine number patterns and use these patterns to

generate a graph of the situation.

### Lesson Variations

Blooms taxonomy level:
Understanding
Extension suggestions:

Extensions & Connections

• Have students analyze the problem to determine what fractional part of a mile Harry gains on Tortisha each minute.
• If Tortisha was given a three mile head start and the race was timed for 100 minutes.
• Could Harry win? Why or why not?
• Write an original story that utilizes different rates and explain optional ways of reaching the solution.

Materials

Per Group

• The Story of Tortisha and Harry Activity Sheet
• Dream Track Activity Sheet
• Graph Paper
• Graphing Calculator (optional)

Contributors: