 Multiple routes to numbers up to 20

# Multiple routes to numbers up to 20

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## General

Students learn that you can have different math problems that equal the same number, and that they can be addition or subtraction problems.

2.OA.B.2

## Relevance

It is useful for students to recognize that there are multiple routes to reach an answer. Addition or subtraction problems can equal the same amount. By becoming more familiar with these multiple routes, they make addition and subtraction easier.

## Introduction

Start by asking the class if they can come up with a math problem with numbers less than 20 which equals 8. Then ask students if they can come up with another addition problem that equals 8, as well as.a subtraction problem that equals 8. Then ask a few randomly selected students to come up to the board to solve the given math problems.

## Development

Check that students are able to find multiple routes to numbers up to 20 by asking the following questions:
- Why is it useful to find multiple routes to the same number?
- Who can come up with an addition and subtraction problem that equals 14?

## Guided practice

Students are given two types of problem. One in which they must drag the given math problems to their correct answer, and one in which they must select the math problems that equal a given number. In both cases, remind students that they need to look carefully at the math problems.

## Closing

Start by checking that students understand the learning goal and the value of being able to find multiple routes to numbers up to 20 and ask them why it is useful to be able to do so. Then play memory with math problems and answers. Ask each student to come up with three sets of math problems. Give each student nine cards. On one card they write an addition problem, the second a subtraction problem, and the third card has the answer that fits with both the addition as well as the subtraction problem. Repeat this for the second and third set of cards. Then the students mix their cards with another student and they play memory. They must turn over all three cards to make the set. It is easiest to play this game in pairs.

## Teaching tips

Students who have difficulty with this learning goal can be supported by starting with small numbers. Have them come up with addition problems and subtraction problems that equal 2. If that goes well, you can try addition and subtraction problems to 10 ,and then 20.

## Instruction materials

Cards or pre-cut paper in sets of 3 to make memory game with.

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