# Hi-Ho, Hi-Low!

Construct your own high sea adventure math word problems along a vertical number line! Become the captain of positive and negative numbers in this maritime setting!

Curriculum Topics: Operations with Negative & Positive Numbers, Number Lines, Word Problems

### Standards

Idea Sheets are cross-referenced to subjects listed in the Common Core, Next Generation Science Standards, and California Content Standards.

Mathematical Practices: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. ||Common Core Mathematics||Grade 4||Mathematical Practices|||4.MD.2. Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale.||Common Core Mathematics||Grade 4||Measurement And Data||Solve Problems Involving Measurement And Conversion Of Measurements From A Larger Unit To A Smaller Unit|||Mathematical Practices: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. ||Common Core Mathematics||Grade 5||Mathematical Practices|||Mathematical Practices: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. ||Common Core Mathematics||Grade 6||Mathematical Practices|||6.NS.5. Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below zero, elevation above/below sea level, credits/debits, positive/negative electric charge); use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation.||Common Core Mathematics||Grade 6||The Number System||Apply And Extend Previous Understandings Of Numbers To The System Of Rational Numbers|||6.NS.6. Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates.||Common Core Mathematics||Grade 6||The Number System||Apply And Extend Previous Understandings Of Numbers To The System Of Rational Numbers|||6.NS.7. Understand ordering and absolute value of rational numbers.||Common Core Mathematics||Grade 6||The Number System||Apply And Extend Previous Understandings Of Numbers To The System Of Rational Numbers|||Mathematical Practices: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. ||Common Core Mathematics||Grade 7||Mathematical Practices|||7.EE.3. Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. For example: If a woman making \$25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or \$2.50, for a new salary of \$27.50. If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation.||Common Core Mathematics||Grade 7||Expressions And Equations||Solve Real-Life And Mathematical Problems Using Numerical And Algebraic Expressions And Equations|||7.NS.1. Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.||Common Core Mathematics||Grade 7||The Number System||Apply And Extend Previous Understandings Of Operations With Fractions To Add, Subtract, Multiply, And Divide Rational Numbers|||Mathematical Practices: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. ||Common Core Mathematics||Grade 8||Mathematical Practices

1.8 Use concepts of negative numbers (e.g., on a number line, in counting, in temperature, in “owing”).||CA Mathematics||Grade 4||01. Number Sense||1.0 Students understand place value of whole numbers and decimals to two decimal places, how these relate to simple fractions, and use concepts of negative numbers.|||1.5 Identify and represent on a number line decimals, fractions, mixed numbers, and positive and negative integers.||CA Mathematics||Grade 5||01. Number Sense||1.0 Students compute with very large and very small numbers, positive integers, decimals, and fractions and understand the relationship between decimals, fractions, and percents. They understand the relative magnitudes of numbers.|||1.0 Students write verbal expressions and sentences as algebraic expressions and equations; they evaluate algebraic expressions, solve simple linear equations, and graph and interpret their results.||CA Mathematics||Grade 6||02. Algebra and Functions|||1.1 Compare and order positive and negative fractions, decimals, and mixed numbers and place them on a number line.||CA Mathematics||Grade 6||01. Number Sense||1.0 Students compare and order positive and negative fractions, decimals, and mixed numbers. Students solve problems involving fractions, ratios, proportions, and percentages.|||1.0 Students express quantitative relationships using algebraic terminology, expressions, equations, inequalities and graphs.||CA Mathematics||Grade 7||02. Algebra and Functions|||1.1 Use variables and appropriate operations to write an expression, an equation, an inequality, or a system of equations or inequalities that represent a verbal description (e.g., three less than a number, half as large as area A).||CA Mathematics||Grade 7||02. Algebra and Functions||1.0 Students express quantitative relationships using algebraic terminology, expressions, equations, inequalities and graphs.|||05.0 Students solve multi-step problems, including word problems, involving linear equations and linear inequalities in one variable and provide justification of each step.||CA Mathematics||Grade 8 – 12||01. Algebra I

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