Eureka Math Parent Tips Second Grade Module 7 This document is being produced for the purpose of giving parents and students in Calcasieu Parish a better understanding of the math concepts being taught. Problem Solving with Length, Money, and Data Module 7 presents an opportunity for students to practice addition and subtraction strategies within 100 and problem-solving skills as they learn to work with various types of units within the contexts of length, money, and data. Louisiana Standards: • Fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction. Use addition to find the total number of objects arranged in rectangular arrays with up to 5 rows and up to 5 columns; write an equation to express the total as a sum of equal addends. • Measure the length of an object by selecting and using appropriate tools such as rulers, yardsticks, meter sticks, and measuring tapes. • Measure the length of an object twice, using length units of different lengths for the two measurements; describe how the two measurements relate to the size of the unit chosen. • Estimate lengths using inches, feet, centimeters, and meters. • Measure to determine how much longer one object is than another, expressing the length difference in terms of a standard length unit. • Use addition and subtraction within 100 to solve word problems involving lengths that are given in the same units, e.g., by using drawings (such as drawings of rulers) and equations with a symbol for the unknown number to represent the problem. • Represent whole numbers as lengths from 0 on a number line diagram with equally spaced points corresponding to the numbers 0, 1, 2, …, and represent whole-number sums and differences within 100 on a number line diagram. • Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies, using $ and ¢ symbols appropriately. Example: If you have 2 dimes and 3 pennies, how many cents do you have? • Generate measurement data by measuring lengths of several objects to the nearest whole unit, or by making repeated measurements of the same object. Show the measurements by making a line plot, where the horizontal scale is marked off in whole-number units. • Draw a picture graph and a bar graph (with single-unit scale) to represent a data set with up to four categories. Solve simple put-together, take-apart, and compare problems using information presented in a bar graph. Words to Know… Bar graph Category Data Categorical data Coins Dollars Mental Math Centimeter cube Iteration Compensation Tape Diagram Difference Hash Mark End point Number line Line plot Second Grade Module 7 Students represent and interpret categorical data, which is produced by sorting objects or information into categories. Students also use picture graphs and bar graphs to organize and represent the data in as many as four categories. They record category counts in the tables with both numerals and tally marks. Second graders draw and label a bar graph to represent data; relate the count scale to the number line. Counting on strategy to give change I spent 85 cents, I paid with a dollar bill. What is my change? Students identify the value of the coin or bill and use an addition strategy to find the sum or value of the group. Second Grade Module 7 Students deepen their understanding of a length unit, seeing again that just as it was with the centimeter cube, the length unit is the distance from one end of the tile (or cube) to the other. Students go on to create inch rulers using the mark and advance technique with inch tiles to record each length unit with a hash mark. Finally, they use their inch rulers to measure and compare objects around the classroom. Problem Solving: Sam and Bill both built fences around their properties. Sam’s fence is 43 yards long. Bill’s fence is 19 yards longer than Sam’s. Second Grade Module 7 Solve using a tape diagram. Use a symbol (?) for the unknown. Mr. Ramos has knitted 19 inches of a scarf he wants to be 1 yard long. How many more inches of scarf does he need to knit? Students infer and draw conclusions from the data set and representations, discovering that while a table is useful for organizing data, a line plot allows for the visual comparisons of the different quantities.
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