Grade 3: Module 2 – Parent Letter What’s It All About? In this 25-day module, students explore measurement using kilograms, grams, liters, milliliters, and intervals of time in minutes. New or Recently Introduced Terms: About: with reference to rounding and estimation, an answer that is not precise Addend: the numbers that are added together in an addition equation o Example: in 4 + 5, the numbers 4 and 5 are the addends Analog clock: a clock that is not digital Capacity: the amount of liquid that a particular container can hold Compose: change 10 smaller units for 1 of the next larger unit on the place value chart Continuous: with reference to time as a continuous measurement Endpoint: used with rounding on the number line, the numbers that mark the beginning and end of a given interval Gram: g, unit of measure for weight Halfway: with reference to a number line, the midpoint between two numbers o Example: 150 is halfway between 100 and 200 Halfway Interval: time passed or a segment on the number line Interval Kilogram: kg, unit of measure for mass Liquid volume: the space a liquid takes up Liter: L, unit of measure for liquid volume Milliliter: mL, unit of measure for liquid volume Plot: locate and label a point on a number line Point: a specific location on the number line Point Reasonable: with reference to how plausible an answer is o Example: Ask yourself “Is your answer reasonable?” Rename: regroup units o Example: use when solving with the standard algorithm Round: estimate a number to the nearest 10 or 100 using place value Second: a unit of time Standard algorithm: for addition and subtraction ≈: symbol used to show that an answer is approximate Symbol for rounding Centimeter: cm, unit of measurement Divide: decompose or break down into smaller equal sized parts o Example: 4 ÷ 2 = 2 Estimate: approximation of the value of a quantity or number Vertical Number Line: a number line that is expressed up and down Topic A: Students begin by learning to tell and write time to the nearest minute using analog and digital clocks. They use both the number line and clock to represent addition and subtraction problems involving intervals of minutes within 1 hour. Students will explore time as a continuous measurement using a stopwatch. Students will relate skip-counting by 5 on the clock and model using the number line. Students will draw the number line and label each tick mark by intervals of 5. Students will count by fives and ones on the number line to help them tell time to the nearest minute on the clock. Students will solve word problems involving time intervals within one hour by counting forward and backward using the number line and clock. Students will solve word problems involving time intervals within one hour by adding and subtracting on the number line. Students will label the number line and then use brackets to show how much time each day Cole read his book. Then, they find the total by adding. Topic B: Kilograms and grams are introduced in Topic B, measured on digital and spring scales. Students in Grade 3 use kilograms, grams, liters, and milliliters to estimate the liquid volumes and weights of familiar objects. They also use their estimates to solve one-step addition, subtraction, multiplication, and division word problems involving metric weight and liquid volume. Students will build and break down a kilogram to help them understand the size and weight of 1 kilogram, 100 grams, 10 grams, and 1 gram. Imagining a ten frame will help the student understand the size and weight of 1 kg, 100 grams, and 10 grams, and 1 gram. Students will develop estimation strategies by reasoning about the weight of kilograms. Students will solve one-step word problems involving metric weights to 100. Students will show the two weights on the tape diagram and then use addition to solve. Tape Diagram Students will break down a liter to help them understand the size of 1 liter, 100 millimeters, 10 millimeters, and 1 millimeter. Students break apart 1 liter into 10 parts using the ten frame (pictured to the left). After breaking this apart, each part now has 100 milliliters. Students will estimate and measure liquid volume in liters and milliliters using the vertical number line. Students use the vertical number line to measure the liquid volume. Students will solve mixed word problems using all four operations with grams, kilograms, liters, and milliliters. Students should start out by drawing the tape diagram. Then, they should use this to subtract and solve the problem. **Mid-Module Assessment: Read and tell time to the nearest minute and measure time intervals in minutes. Use number lines to represent and solve the problem. Solve word problems involving addition and subtraction of time intervals in minutes. Measure and estimate liquid volume and masses of objects using grams, kilograms, and liters. Add, subtract, multiply, and divide to solve one-step problems using masses or volumes of objects. Draw and label tape diagrams to solve problems. Topic C: Students will measure and then use place value understandings and the number line as tools to round two-, three-, and four-digit measurements to the nearest ten or hundred. Students will round two-digit measurements to the nearest ten on the vertical number line. Round 73 milliliters to the nearest ten. Students draw the vertical number line and plot the halfway point. Then, they plot 73 and round 73 to 70. Students will round two- and three- digit numbers to the nearest ten on the vertical number line. Students will round to the nearest hundred on the vertical number line. Topic D: Students add two- and three-digit metric measurements and intervals of minutes within 1 hour. Students will also estimate sums (answer to addition problems) to solve measurement word problems. Students will be able to add measurements using the standard algorithm to compose larger units once. Using the standard algorithm involves renaming ones as tens. For example, the student would add 6 + 7 and get 13 ones. The student would rename it and know there is 1 ten and 3 ones in 13. The 1 is written so it crosses the line under the ten in the tens place. Students will be able to add measurements using the standard algorithm to compose larger units twice. Using the standard algorithm involves renaming ones as tens. For example, the student would add 8 + 6 and get 14 ones. The student would rename it and know there is 1 ten and 4 ones in 14. The 1 is written so it crosses the line under the ten in the tens place. Then the student would add 5 + 6 + 1 and get 12 ones. The 1 is written so it crosses the line under the hundred in the hundreds place. Students will be able to estimate sums by rounding and apply to solve measurement word problems. Topic E: Students will work with the standard algorithm for subtraction. Break down once to subtract measurements including three-digit minuends with zeros in the tens or ones place. The students start by subtracting 8-1 and get 7. Then, they look to the tens place and realize they need to go to the hundreds place to unbundle 1 hundred to make 10 tens. So, now we have 4 hundreds and 11 tens. The student subtracts 11-2 and gets 9 and then 4-0 and gets 4. The final answer is 497 centimeters. Break down twice to subtract measurements including three-digit minuends with zeros in the tens or ones place. Estimate differences by rounding and apply to solve measurement word problems. Estimate sums and differences of measurements by rounding, and then solve mixed word problems. **End-of-Module Assessment: Use place value to round whole numbers to the nearest 10 or 100. Add and subtract within 1000 using the standard algorithms. Tell and write time to the nearest minute and measure time intervals in minutes. Solve word problems involving addition and subtraction of time intervals in minutes. Measure and estimate liquid volumes and masses of objects using standard units of grams, kilograms, and liters. Add, subtract, multiply, and divide to solve one-step word problems involving masses or volumes that are given in the same units. Multiply and divide within 100.
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