In this unit, children collect and display data on two different types of graphs. They are introduced to comparison number stories and two-step number stories. Later in the unit, they share and record their own invented strategies for addition and learn the Partial Sums strategy.The following big ideas will be covered in this unit:
- Picture graphs and bar graphs are used to display data.
- Graphs are used to compare data.- Addition can be used to solve word problems involving situations such as “adding to” and “putting together”. (3 digit)
- Addition and subtraction can be used to solve 2 step word problems involving situations such as “adding to”, “putting together”, “taking from”, “taking apart” and “comparison”.
- Multi-digit numbers can be built up or taken apart in a variety of ways. These parts can be used to create estimates in calculations rather than using the exact numbers involved. (three digit numbers)
- Flexible methods of computation for addition involve decomposing and composing numbers in a variety of ways. (three digit numbers)
Operations & Algebraic Thinking
2.OA.A. Represent and solve problems involving addition and subtraction.
2.OA.A.1. Use addition and subtraction within 100 to solve one- and two-step word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.
Number & Operations in Base Ten
2.NBT.A. Understand place value.
2.NBT.A.3. Read and write numbers to 1000 using base-ten numerals, number names, and expanded form.
2.NBT.B. Use place value understanding and properties of operations to add and subtract.
2.NBT.B.5. Fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction.
2.NBT.B.7. Add and subtract within 1000, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method. Understand that in adding or subtracting three-digit numbers, one adds or subtracts hundreds and hundreds, tens and tens, ones and ones; and sometimes it is necessary to compose or decompose tens or hundreds.
Explanations may be supported by drawings or objects.
2.MD.B. Relate addition and subtraction to length.
2.MD.B.5. 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.
2.MD.D. Represent and interpret data.
2.MD.D.10. 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 problems1 using information presented in a bar graph.
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Students will have opportunities to:
- Make sense of their problems (MP.1)
- Reflect on their thinking as they solve the problem. (MP.1)
- Keep trying when their problem is hard.(MP.1)
- Check whether their answer makes sense. (MP.1)
- Solve problems in more than one way. (MP.1)
- Compare the strategies they and others use.(MP.1)
- Choose appropriate tools. (MP.5)
- Use tools effectively and make sense of their results. (MP.5)
- The two digits of a 2-digit number represent amounts of tens and ones.
- Place value determines which numbers are larger or smaller than other numbers. (two digit numbers)
- Mental math can be used to add 10 or 100 to a given number using patterns in place value.
- Mental math can be used to subtract 10 or 100 to a given number using patterns in place value.
- An open number line is used to explain the jumps made mentally in addition and subtraction problems.
- Addition can be used to solve word problems involving situations such as “adding to” and “putting together”. (2 digit)
- Line plots are useful tools for collecting data because they show the number of things along a scale.
- Flexible methods of computation for subtraction involve decomposing and composing numbers in a variety of ways. (three digit numbers)
- Skip counting can be used to solve equal group problems.
Ballpark estimate, bar graph, data, difference, graph key, partial sums, partial-sums addition, picture graph, quantity, rectangular array
Bold: Listed in teacher's EDM4 edition
Normal Font: not listed in teacher’s edition as a vocabulary word but will be helpful for students in explanations
The following lesson plan sequence is obtained from Everyday Mathematics 4. Each lesson is aligned with a learning objective to inform the teachers on what students should be able to at the end of the lesson. The student objective informs the students of their learning goals for the day and it should be reviewed before, during and at the end of the lesson. Each lesson includes a mathematics task that should be implemented to meet the learning objectives. Teachers can select from the practice opportunities to reinforce the learning goals of the da
The following language supports are for English Language Learners but could also be used to support any struggling learner in mathematics. The strategies are obtained from the SIOP model. The language objectives will support students' academic language development. The sentence stems and starters provides the support many students need to be able to participate in discussions and writing about mathematics.